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Thinka Jan 2026 Cambridge International A Level-Style Mock — Chemistry (YCH11)

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An original Thinka practice paper modelled on the structure and difficulty of the Jan 2026 Cambridge International A Level Chemistry (YCH11) paper. Not affiliated with or reproduced from Cambridge.

Unit 1: Section A

Answer all multiple-choice questions. Select the single best answer from A to D.
20 PastPaper.question · 20 PastPaper.marks
PastPaper.question 1 · multiple-choice
1 PastPaper.marks
An element \( \text{X} \) has the following successive ionisation energies in \( \text{kJ mol}^{-1} \):
\( \text{IE}_1 = 578 \)
\( \text{IE}_2 = 1817 \)
\( \text{IE}_3 = 2745 \)
\( \text{IE}_4 = 11578 \)
\( \text{IE}_5 = 14831 \)

What is the formula of the oxide of \( \text{X} \)?
  1. A.\( \text{XO} \)
  2. B.\( \text{X}_2\text{O} \)
  3. C.\( \text{X}_2\text{O}_3 \)
  4. D.\( \text{XO}_2 \)
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PastPaper.workedSolution

There is a very large increase between the third and fourth ionisation energies (from 2745 to 11578 \( \text{kJ mol}^{-1} \)). This indicates that the fourth electron is being removed from a inner shell, closer to the nucleus and less shielded. Thus, element \( \text{X} \) has three valence electrons and forms a stable \( \text{X}^{3+} \) ion. Oxygen forms a \( \text{O}^{2-} \) oxide ion. Combining these in a neutral compound gives the formula \( \text{X}_2\text{O}_3 \).

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1 mark: Correct answer is C.
0 marks: Any other option selected.
PastPaper.question 2 · multiple-choice
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Which of the following represents the correct electronic configuration of a copper(I) ion, \( \text{Cu}^+ \)?
  1. A.\( 1s^2 2s^2 2p^6 3s^2 3p^6 3d^9 4s^1 \)
  2. B.\( 1s^2 2s^2 2p^6 3s^2 3p^6 3d^{10} \)
  3. C.\( 1s^2 2s^2 2p^6 3s^2 3p^6 3d^8 4s^2 \)
  4. D.\( 1s^2 2s^2 2p^6 3s^2 3p^6 3d^9 4s^2 \)
PastPaper.showAnswers

PastPaper.workedSolution

A neutral copper atom has the anomalous electronic configuration \( 1s^2 2s^2 2p^6 3s^2 3p^6 3d^{10} 4s^1 \). When transition metals form positive ions, they lose electrons from the outer \( 4s \) subshell before the \( 3d \) subshell. Therefore, removing one electron to form \( \text{Cu}^+ \) results in the configuration \( 1s^2 2s^2 2p^6 3s^2 3p^6 3d^{10} \), which is represented by option B.

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1 mark: Correct answer is B.
0 marks: Any other option selected.
PastPaper.question 3 · multiple-choice
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When \( 10\text{ cm}^3 \) of a gaseous hydrocarbon is completely combusted in \( 70\text{ cm}^3 \) of oxygen (an excess), the final gas volume at room temperature and pressure is \( 50\text{ cm}^3 \). Passing this gas through aqueous sodium hydroxide reduces the volume to \( 20\text{ cm}^3 \).

(All gas volumes are measured under the same conditions of temperature and pressure, where water is a liquid).

What is the molecular formula of the hydrocarbon?
  1. A.\( \text{C}_3\text{H}_6 \)
  2. B.\( \text{C}_3\text{H}_8 \)
  3. C.\( \text{C}_4\text{H}_{10} \)
  4. D.\( \text{C}_2\text{H}_6 \)
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PastPaper.workedSolution

Passing the final mixture through aqueous NaOH absorbs \( \text{CO}_2 \). The decrease in volume is \( 50 - 20 = 30\text{ cm}^3 \), which represents the volume of \( \text{CO}_2 \) produced. Since \( 10\text{ cm}^3 \) of hydrocarbon produces \( 30\text{ cm}^3 \) of \( \text{CO}_2 \), the hydrocarbon has 3 carbon atoms (\( x = 3 \)).
The remaining \( 20\text{ cm}^3 \) is the unreacted excess oxygen, meaning the volume of oxygen reacted was \( 70 - 20 = 50\text{ cm}^3 \).
The ratio of hydrocarbon reacted to oxygen reacted is \( 10 : 50 = 1 : 5 \).
For the combustion equation \( \text{C}_3\text{H}_y + 5\text{O}_2 \rightarrow 3\text{CO}_2 + \frac{y}{2}\text{H}_2\text{O} \), balancing oxygen atoms gives: \( 10 = 6 + \frac{y}{2} \Rightarrow \frac{y}{2} = 4 \Rightarrow y = 8 \). Therefore, the molecular formula is \( \text{C}_3\text{H}_8 \).

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1 mark: Correct answer is B.
0 marks: Any other option selected.
PastPaper.question 4 · multiple-choice
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Which of the following correctly describes the number of bonding pairs of electrons, the number of lone pairs of electrons around the central atom, and the molecular shape of chlorine trifluoride, \( \text{ClF}_3 \)?
  1. A.3 bonding pairs, 2 lone pairs, T-shaped
  2. B.3 bonding pairs, 1 lone pair, Trigonal pyramidal
  3. C.3 bonding pairs, 2 lone pairs, Trigonal planar
  4. D.3 bonding pairs, 0 lone pairs, Trigonal planar
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PastPaper.workedSolution

The central chlorine atom in \( \text{ClF}_3 \) has 7 valence electrons. It forms three single covalent bonds with three fluorine atoms (using 3 electrons), leaving 4 non-bonding electrons. These 4 electrons form 2 lone pairs. With 3 bonding pairs and 2 lone pairs, the electron-pair geometry is trigonal bipyramidal, but the molecular shape is T-shaped to minimise lone pair-lone pair repulsions.

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1 mark: Correct answer is A.
0 marks: Any other option selected.
PastPaper.question 5 · multiple-choice
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Which of the following alkenes can exist as a pair of \( E \)/\( Z \) isomers?
  1. A.2-methylbut-2-ene
  2. B.hex-1-ene
  3. C.3-methylpent-2-ene
  4. D.2,3-dimethylbut-2-ene
PastPaper.showAnswers

PastPaper.workedSolution

For \( E \)/\( Z \) isomerism to exist, each carbon atom of the \( \text{C}=\text{C} \) double bond must be attached to two different groups.
- In 2-methylbut-2-ene, one carbon is bonded to two identical methyl groups (no isomerism).
- In hex-1-ene, the terminal carbon is bonded to two hydrogen atoms (no isomerism).
- In 3-methylpent-2-ene (\( \text{CH}_3\text{-CH}=\text{C(CH}_3)\text{-CH}_2\text{-CH}_3 \)), C2 is bonded to H and \( \text{-CH}_3 \) (different), and C3 is bonded to \( \text{-CH}_3 \) and \( \text{-CH}_2\text{CH}_3 \) (different). Thus, it has \( E \)/\( Z \) isomers.
- In 2,3-dimethylbut-2-ene, both carbons have identical methyl groups (no isomerism).

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1 mark: Correct answer is C.
0 marks: Any other option selected.
PastPaper.question 6 · multiple-choice
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Which of the following equations represents a termination step in the free-radical chlorination of methane that produces a hydrocarbon byproduct?
  1. A.\( \text{Cl}^\bullet + \text{Cl}^\bullet \rightarrow \text{Cl}_2 \)
  2. B.\( \text{CH}_3^\bullet + \text{Cl}^\bullet \rightarrow \text{CH}_3\text{Cl} \)
  3. C.\( \text{CH}_3^\bullet + \text{CH}_3^\bullet \rightarrow \text{C}_2\text{H}_6 \)
  4. D.\( \text{CH}_4 + \text{Cl}^\bullet \rightarrow \text{CH}_3^\bullet + \text{HCl} \)
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PastPaper.workedSolution

In the free-radical chlorination of methane, termination steps involve the combination of any two free radicals. When two methyl radicals (\( \text{CH}_3^\bullet \)) combine, they form ethane (\( \text{C}_2\text{H}_6 \)), which is a hydrocarbon byproduct (or impurity) in the reaction mixture.

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1 mark: Correct answer is C.
0 marks: Any other option selected.
PastPaper.question 7 · multiple-choice
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Copper can be extracted by heating copper(II) oxide with carbon:

\( 2\text{CuO(s)} + \text{C(s)} \rightarrow 2\text{Cu(s)} + \text{CO}_2\text{(g)} \)

What is the percentage atom economy by mass for the production of copper in this reaction?

(Relative atomic masses, \( A_r \): \( \text{C} = 12.0 \), \( \text{O} = 16.0 \), \( \text{Cu} = 63.5 \))
  1. A.37.1%
  2. B.74.3%
  3. C.79.9%
  4. D.84.1%
PastPaper.showAnswers

PastPaper.workedSolution

Atom economy \( = \frac{\text{mass of desired product}}{\text{total mass of all reactants}} \times 100 \)
Desired product is \( 2\text{Cu} \): \( 2 \times 63.5 = 127.0\text{ g mol}^{-1} \).
Reactants are \( 2\text{CuO} + \text{C} \): \( 2 \times (63.5 + 16.0) + 12.0 = 2(79.5) + 12.0 = 159.0 + 12.0 = 171.0\text{ g mol}^{-1} \).
Atom economy \( = \frac{127.0}{171.0} \times 100 \approx 74.3\% \).

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1 mark: Correct answer is B.
0 marks: Any other option selected.
PastPaper.question 8 · multiple-choice
1 PastPaper.marks
Which of the following molecules contains polar bonds but is overall a non-polar molecule?
  1. A.\( \text{NH}_3 \)
  2. B.\( \text{SF}_6 \)
  3. C.\( \text{CHCl}_3 \)
  4. D.\( \text{H}_2\text{S} \)
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PastPaper.workedSolution

In sulfur hexafluoride (\( \text{SF}_6 \)), the S-F bonds are highly polar because fluorine is much more electronegative than sulfur. However, because the molecule has a perfectly symmetrical octahedral shape, the individual bond dipoles cancel each other out completely, resulting in a net dipole moment of zero (non-polar molecule).

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1 mark: Correct answer is B.
0 marks: Any other option selected.
PastPaper.question 9 · multiple-choice
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An element in Period 3 of the Periodic Table has successive ionization energies as shown below:

\(\text{IE}_1 = 578\text{ kJ mol}^{-1}\)
\(\text{IE}_2 = 1817\text{ kJ mol}^{-1}\)
\(\text{IE}_3 = 2745\text{ kJ mol}^{-1}\)
\(\text{IE}_4 = 11577\text{ kJ mol}^{-1}\)
\(\text{IE}_5 = 14842\text{ kJ mol}^{-1}\)

Identify the element.
  1. A.Sodium
  2. B.Magnesium
  3. C.Aluminium
  4. D.Silicon
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PastPaper.workedSolution

The successive ionization energies show a very large increase between the third and fourth ionization energies (from \(2745\text{ kJ mol}^{-1}\) to \(11577\text{ kJ mol}^{-1}\)). This indicates that the fourth electron is removed from an inner quantum shell that is closer to the nucleus and less shielded, meaning the element has three valence electrons. In Period 3, the element with three valence electrons is aluminium.

PastPaper.markingScheme

[1] C - Aluminium. Large jump between third and fourth ionization energies indicates three valence electrons.
PastPaper.question 10 · multiple-choice
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A \(0.440\text{ g}\) sample of an unknown gas occupies a volume of \(249\text{ cm}^3\) at a pressure of \(100\text{ kPa}\) and a temperature of \(300\text{ K}\). What is the molar mass of the gas in \(\text{g mol}^{-1}\)?

[Gas constant, \(R = 8.31\text{ J mol}^{-1}\text{ K}^{-1}\)]
  1. A.16.0
  2. B.28.0
  3. C.44.0
  4. D.64.0
PastPaper.showAnswers

PastPaper.workedSolution

Using the ideal gas equation:
\(PV = nRT\)

Convert units to SI:
\(P = 100 \times 10^3\text{ Pa}\)
\(V = 249 \times 10^{-6}\text{ m}^3\)
\(T = 300\text{ K}\)

Calculate the number of moles, \(n\):
\(n = \frac{PV}{RT} = \frac{100 \times 10^3 \times 249 \times 10^{-6}}{8.31 \times 300} = \frac{24.9}{2493} \approx 0.009988\text{ mol}\)

Calculate the molar mass, \(M\):
\(M = \frac{\text{mass}}{n} = \frac{0.440}{0.009988} \approx 44.05\text{ g mol}^{-1}\)

This is closest to \(44.0\text{ g mol}^{-1}\).

PastPaper.markingScheme

[1] C - 44.0. Correct application of ideal gas equation to find molar mass.
PastPaper.question 11 · multiple-choice
1 PastPaper.marks
Which of the following species has a molecular shape that is trigonal pyramidal?
  1. A.\(\text{BF}_3\)
  2. B.\(\text{H}_3\text{O}^+\)
  3. C.\(\text{NH}_4^+\)
  4. D.\(\text{CO}_3^{2-}\)
PastPaper.showAnswers

PastPaper.workedSolution

In \(\text{H}_3\text{O}^+\), the central oxygen atom has three bonding pairs of electrons and one lone pair of electrons (since oxygen has 6 valence electrons, losing one for the positive charge leaves 5, three of which are used in single covalent bonds to hydrogen). According to VSEPR theory, a species with three bonding pairs and one lone pair has a trigonal pyramidal shape. \(\text{BF}_3\) and \(\text{CO}_3^{2-}\) are trigonal planar, while \(\text{NH}_4^+\) is tetrahedral.

PastPaper.markingScheme

[1] B - \(\text{H}_3\text{O}^+\). Identify that the species has 3 bonding pairs and 1 lone pair around the central atom.
PastPaper.question 12 · multiple-choice
1 PastPaper.marks
What is the systematic IUPAC name for the major organic product formed when 2-methylpropane reacts with a limited amount of chlorine in the presence of ultraviolet light, where substitution occurs at the tertiary carbon?
  1. A.1-chloro-2-methylpropane
  2. B.2-chloro-2-methylpropane
  3. C.2-chlorobutane
  4. D.1-chloro-3-methylpropane
PastPaper.showAnswers

PastPaper.workedSolution

2-methylpropane has the formula \(\text{(CH}_3\text{)}_3\text{CH}\). The central carbon (carbon-2) is a tertiary carbon because it is bonded to three other methyl groups. Replacing the hydrogen atom on this tertiary carbon with a chlorine atom yields \(\text{(CH}_3\text{)}_3\text{CCl}\). The longest carbon chain contains three carbon atoms, with a chlorine atom and a methyl group both attached to carbon-2. Therefore, the systematic IUPAC name is 2-chloro-2-methylpropane.

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[1] B - 2-chloro-2-methylpropane. Correctly identify the product of substitution at the tertiary carbon.
PastPaper.question 13 · multiple-choice
1 PastPaper.marks
Which of the following alkenes can exhibit stereoisomerism (E/Z isomerism)?
  1. A.2-methylbut-2-ene
  2. B.propene
  3. C.pent-1-ene
  4. D.hex-3-ene
PastPaper.showAnswers

PastPaper.workedSolution

For an alkene to exhibit E/Z isomerism, each carbon atom of the C=C double bond must be bonded to two different atoms or groups of atoms.
- In 2-methylbut-2-ene, one C=C carbon is bonded to two methyl groups.
- In propene and pent-1-ene, the terminal C=C carbon is bonded to two hydrogen atoms.
- In hex-3-ene (\(\text{CH}_3\text{CH}_2\text{CH=CHCH}_2\text{CH}_3\)), each of the double-bonded carbons is bonded to one hydrogen atom (\(\text{-H}\)) and one ethyl group (\(\text{-CH}_2\text{CH}_3\)), allowing for distinct E and Z isomers.

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[1] D - hex-3-ene. Correct identification of the alkene meeting the structural requirements for E/Z isomerism.
PastPaper.question 14 · multiple-choice
1 PastPaper.marks
What is the electronic configuration of a \(\text{Fe}^{3+}\) ion in its ground state?
  1. A.\([\text{Ar}] 4s^2 3d^3\)
  2. B.\([\text{Ar}] 3d^5\)
  3. C.\([\text{Ar}] 4s^1 3d^4\)
  4. D.\([\text{Ar}] 4s^2 3d^5\)
PastPaper.showAnswers

PastPaper.workedSolution

The electronic configuration of a neutral iron atom (\(\text{Fe}\), \(Z=26\)) is \([\text{Ar}] 4s^2 3d^6\). When first row d-block elements form cations, electrons are lost from the \(4s\) subshell first, before any \(3d\) electrons. To form a \(\text{Fe}^{3+}\) ion, three electrons are removed: two from the \(4s\) orbital and one from the \(3d\) orbital, leaving the configuration as \([\text{Ar}] 3d^5\).

PastPaper.markingScheme

[1] B - \([\text{Ar}] 3d^5\). Award mark for correct removal of electrons from 4s then 3d orbitals.
PastPaper.question 15 · multiple-choice
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Calcium oxide is manufactured by the thermal decomposition of calcium carbonate:

\(\text{CaCO}_3(\text{s}) \rightarrow \text{CaO}(\text{s}) + \text{CO}_2(\text{g})\)

What is the percentage atom economy for the production of calcium oxide in this reaction?

[Molar masses: \(\text{CaCO}_3 = 100.1\text{ g mol}^{-1}\); \(\text{CaO} = 56.1\text{ g mol}^{-1}\); \(\text{CO}_2 = 44.0\text{ g mol}^{-1}\)]
  1. A.44.0%
  2. B.56.0%
  3. C.78.4%
  4. D.100%
PastPaper.showAnswers

PastPaper.workedSolution

Atom economy is calculated using the following formula:
\(\text{Atom Economy} = \frac{\text{Molar mass of desired product}}{\text{Total molar mass of all reactants}} \times 100\%\)

Here, the desired product is \(\text{CaO}\) and the reactant is \(\text{CaCO}_3\).

\(\text{Atom Economy} = \frac{56.1}{100.1} \times 100\% \approx 56.0\%\)

PastPaper.markingScheme

[1] B - 56.0%. Correct calculation using molar masses of calcium oxide and calcium carbonate.
PastPaper.question 16 · multiple-choice
1 PastPaper.marks
Which of the following molecules has a permanent net dipole moment (is polar)?
  1. A.\(\text{CF}_4\)
  2. B.\(\text{SF}_6\)
  3. C.\(\text{PCl}_3\)
  4. D.\(\text{CO}_2\)
PastPaper.showAnswers

PastPaper.workedSolution

A molecule has a permanent net dipole moment if its individual bond dipoles do not cancel each other out due to symmetry.
- \(\text{CF}_4\) is tetrahedral and highly symmetrical, so dipoles cancel out (non-polar).
- \(\text{SF}_6\) is octahedral and highly symmetrical, so dipoles cancel out (non-polar).
- \(\text{CO}_2\) is linear and symmetrical, so dipoles cancel out (non-polar).
- \(\text{PCl}_3\) is trigonal pyramidal with a lone pair on the phosphorus atom. The asymmetrical shape means the polar \(\text{P-Cl}\) bonds do not cancel out, resulting in a net dipole moment.

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[1] C - \(\text{PCl}_3\). Correctly identify that the trigonal pyramidal geometry of phosphorus trichloride results in a net dipole.
PastPaper.question 17 · multiple_choice
1 PastPaper.marks
The successive ionization energies of a Period 3 element, \(X\), are shown in the table below.

\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
\text{Ionization energy number} & 1\text{st} & 2\text{nd} & 3\text{rd} & 4\text{th} & 5\text{th} & 6\text{th} \\
\hline
\text{Ionization energy / kJ mol}^{-1} & 1012 & 1903 & 2912 & 4957 & 6274 & 21268 \\
\hline
\end{array}
\]

Which of the following is element \(X\)?
  1. A.Silicon
  2. B.Phosphorus
  3. C.Sulfur
  4. D.Chlorine
PastPaper.showAnswers

PastPaper.workedSolution

There is a massive jump between the 5th and the 6th ionization energies (from 6274 to 21268 \(\text{kJ mol}^{-1}\)). This indicates that the 6th electron is removed from an inner quantum shell, which is closer to the nucleus and experiences significantly less shielding. Therefore, element \(X\) has 5 valence electrons and belongs to Group 15 of the Periodic Table.

In Period 3, the Group 15 element is phosphorus.

- Silicon is in Group 14 (4 valence electrons; large jump between 4th and 5th IE).
- Sulfur is in Group 16 (6 valence electrons; large jump between 6th and 7th IE).
- Chlorine is in Group 17 (7 valence electrons; large jump between 7th and 8th IE).

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[1 mark] B - Phosphorus
- Award 1 mark for correct selection.
- No partial marks.
PastPaper.question 18 · multiple_choice
1 PastPaper.marks
A sample of \(2.12\text{ g}\) of a metal carbonate, \(\text{M}_2\text{CO}_3\), reacted completely with excess dilute hydrochloric acid to form carbon dioxide gas.

\[ \text{M}_2\text{CO}_3(\text{s}) + 2\text{HCl}(\text{aq}) \rightarrow 2\text{MCl}(\text{aq}) + \text{H}_2\text{O}(\text{l}) + \text{CO}_2(\text{g}) \]

At room temperature and pressure (r.t.p.), \(480\text{ cm}^3\) of carbon dioxide was collected.

What is the identity of the metal \(\text{M}\)?

[Molar volume of gas at r.t.p. = \(24.0\text{ dm}^3\text{ mol}^{-1}\)]
  1. A.Lithium
  2. B.Sodium
  3. C.Potassium
  4. D.Rubidium
PastPaper.showAnswers

PastPaper.workedSolution

1. Calculate the moles of \(\text{CO}_2\) produced:
\[ n(\text{CO}_2) = \frac{480\text{ cm}^3}{24000\text{ cm}^3\text{ mol}^{-1}} = 0.020\text{ mol} \]

2. Determine the moles of \(\text{M}_2\text{CO}_3\) reacted:
Since the stoichiometry ratio of \(\text{M}_2\text{CO}_3 : \text{CO}_2\) is \(1:1\):
\[ n(\text{M}_2\text{CO}_3) = 0.020\text{ mol} \]

3. Calculate the molar mass (\(M_r\)) of \(\text{M}_2\text{CO}_3\):
\[ M_r(\text{M}_2\text{CO}_3) = \frac{\text{mass}}{n} = \frac{2.12\text{ g}}{0.020\text{ mol}} = 106\text{ g mol}^{-1} \]

4. Determine the relative atomic mass (\(A_r\)) of \(\text{M}\):
\[ 2 \times A_r(\text{M}) + 12.0 + (3 \times 16.0) = 106 \]
\[ 2 \times A_r(\text{M}) + 60.0 = 106 \]
\[ 2 \times A_r(\text{M}) = 46.0 \]
\[ A_r(\text{M}) = 23.0 \]

Comparing this to values in the Periodic Table, the metal with \(A_r \approx 23.0\) is sodium (\(\text{Na}\)).

PastPaper.markingScheme

[1 mark] B - Sodium
- Award 1 mark for correct calculation and identification.
- No partial marks.
PastPaper.question 19 · multiple_choice
1 PastPaper.marks
What is the number of bonding pairs of electrons, the number of lone pairs of electrons around the central atom, and the shape of the tetrachloroiodate(I) ion, \(\text{ICl}_4^-\)?
  1. A.4 bonding pairs, 0 lone pairs, tetrahedral
  2. B.4 bonding pairs, 1 lone pair, see-saw
  3. C.4 bonding pairs, 2 lone pairs, square planar
  4. D.6 bonding pairs, 0 lone pairs, octahedral
PastPaper.showAnswers

PastPaper.workedSolution

1. The central atom is iodine, which is in Group 17 and has 7 valence electrons.
2. The negative charge of \(-1\) adds 1 extra electron, giving a total of 8 valence electrons on the central iodine atom.
3. Iodine forms 4 single covalent bonds with the four chlorine atoms, using 4 of its valence electrons to form 4 bonding pairs.
4. The remaining \(8 - 4 = 4\) valence electrons form 2 lone pairs on the iodine atom.
5. With 4 bonding pairs and 2 lone pairs (a total of 6 electron pairs), the electron-pair geometry is octahedral. To minimize lone-pair to lone-pair repulsion, the two lone pairs are positioned opposite each other, resulting in a square planar molecular shape.

PastPaper.markingScheme

[1 mark] C - 4 bonding pairs, 2 lone pairs, square planar
- Award 1 mark for the correct combination.
- No partial marks.
PastPaper.question 20 · multiple_choice
1 PastPaper.marks
Which of the following alkenes can exist as a pair of geometric (\(E\)/\(Z\)) isomers?
  1. A.2-methylbut-2-ene
  2. B.2-methylpent-1-ene
  3. C.3-methylpent-2-ene
  4. D.2,3-dimethylbut-2-ene
PastPaper.showAnswers

PastPaper.workedSolution

For geometric (\(E\)/\(Z\)) isomerism to occur, both carbon atoms involved in the double bond must be bonded to two different groups.

- **A: 2-methylbut-2-ene** (\(\text{CH}_3-\text{C}(\text{CH}_3)=\text{CH}-\text{CH}_3\)). The left-hand double-bonded carbon is bonded to two identical methyl groups, so it cannot show geometric isomerism.
- **B: 2-methylpent-1-ene** (\(\text{CH}_2=\text{C}(\text{CH}_3)(\text{CH}_2\text{CH}_2\text{CH}_3)\)). The left-hand double-bonded carbon is bonded to two identical hydrogen atoms, so it cannot show geometric isomerism.
- **C: 3-methylpent-2-ene** (\(\text{CH}_3-\text{CH}=\text{C}(\text{CH}_3)(\text{CH}_2\text{CH}_3)\)). The left-hand double-bonded carbon is bonded to \(\text{-H}\) and \(\text{-CH}_3\) (different). The right-hand double-bonded carbon is bonded to \(\text{-CH}_3\) and \(\text{-CH}_2\text{CH}_3\) (different). Thus, it can exist as \(E\) and \(Z\) isomers.
- **D: 2,3-dimethylbut-2-ene** (\(\text{CH}_3-\text{C}(\text{CH}_3)=\text{C}(\text{CH}_3)-\text{CH}_3\)). Both double-bonded carbons are bonded to two identical methyl groups, so it cannot show geometric isomerism.

PastPaper.markingScheme

[1 mark] C - 3-methylpent-2-ene
- Award 1 mark for correct identification of the isomerizing alkene.
- No partial marks.

Unit 1: Section B

Answer all structured questions in the spaces provided.
5 PastPaper.question · 60 PastPaper.marks
PastPaper.question 1 · Short Answer & Structured Calculations
12 PastPaper.marks
Basic magnesium carbonate is a hydrated compound containing magnesium ions, carbonate ions, hydroxide ions, and water of crystallization.

(a) A sample of this basic carbonate with a mass of \(4.675\text{ g}\) is heated strongly in a crucible until thermal decomposition is complete. The only solid residue remaining is magnesium oxide, \(\text{MgO}\), which has a mass of \(2.015\text{ g}\).
Calculate the amount, in moles, of magnesium oxide formed. [\(M_r\) of \(\text{MgO} = 40.3\)]

(b) When a second \(4.675\text{ g}\) sample of the same basic carbonate is reacted with excess dilute hydrochloric acid, \(960\text{ cm}^3\) of carbon dioxide gas is collected at room temperature and pressure (r.t.p.).

(i) Write the ionic equation for the reaction of carbonate ions with hydrogen ions to produce carbon dioxide and water. Include state symbols.

(ii) Calculate the amount, in moles, of carbon dioxide gas collected. [Molar volume of gas at r.t.p. = \(24.0\text{ dm}^3\text{ mol}^{-1}\)]

(iii) Deduce the ratio of moles of \(\text{Mg}^{2+}\) ions to moles of \(\text{CO}_3^{2-}\) ions in this basic carbonate.

(c) Use your answers from (a) and (b), along with charge balance arguments, to calculate the mass of water of crystallization in the \(4.675\text{ g}\) sample, and hence deduce the empirical formula of the compound in the form \(x\text{MgCO}_3 \cdot y\text{Mg(OH)}_2 \cdot z\text{H}_2\text{O}\), where \(x\), \(y\), and \(z\) are the simplest whole-number integers.
PastPaper.showAnswers

PastPaper.workedSolution

(a) \(n(\text{MgO}) = \frac{2.015\text{ g}}{40.3\text{ g mol}^{-1}} = 0.050\text{ mol}\)

(b) (i) \(\text{CO}_3^{2-}(\text{aq}) + 2\text{H}^+(\text{aq}) \rightarrow \text{CO}_2(\text{g}) + \text{H}_2\text{O}(\text{l})\)

(ii) \(n(\text{CO}_2) = \frac{960\text{ cm}^3}{24000\text{ cm}^3\text{ mol}^{-1}} = 0.040\text{ mol}\)

(iii) Total moles of \(\text{Mg}^{2+}\) in sample = moles of \(\text{MgO}\) = \(0.050\text{ mol}\).
Moles of \(\text{CO}_3^{2-}\) in sample = moles of \(\text{CO}_2\) = \(0.040\text{ mol}\).
Ratio of \(\text{Mg}^{2+} : \text{CO}_3^{2-} = 0.050 : 0.040 = 5 : 4\).

(c) To find the formula:
- Positive charge from \(\text{Mg}^{2+} = 2 \times 0.050 = +0.100\text{ mol}\).
- Negative charge from \(\text{CO}_3^{2-} = 2 \times 0.040 = -0.080\text{ mol}\).
- The remaining negative charge must come from hydroxide ions, \(\text{OH}^-\), to maintain electrical neutrality:
\(n(\text{OH}^-) = 0.100 - 0.080 = 0.020\text{ mol}\).
- Mass of each component in the \(4.675\text{ g}\) sample:
- Mass of \(\text{Mg}^{2+} = 0.050 \times 24.3 = 1.215\text{ g}\)
- Mass of \(\text{CO}_3^{2-} = 0.040 \times 60.0 = 2.400\text{ g}\)
- Mass of \(\text{OH}^- = 0.020 \times 17.0 = 0.340\text{ g}\)
- Total mass of anhydrous salt components = \(1.215 + 2.400 + 0.340 = 3.955\text{ g}\)
- Mass of \(\text{H}_2\text{O} = 4.675 - 3.955 = 0.720\text{ g}\)
- Moles of \(\text{H}_2\text{O} = \frac{0.720\text{ g}}{18.0\text{ g mol}^{-1}} = 0.040\text{ mol}\)
- Constructing the formula:
- The formula contains \(0.040\text{ mol}\) of \(\text{MgCO}_3\) (since \(n(\text{CO}_3^{2-}) = 0.040\text{ mol}\)).
- The remaining \(\text{Mg}^{2+}\) and \(\text{OH}^-\) make \(\text{Mg(OH)}_2\):
\(n(\text{Mg(OH)}_2) = \frac{1}{2} n(\text{OH}^-) = 0.010\text{ mol}\).
- Moles of \(\text{H}_2\text{O} = 0.040\text{ mol}\).
- Ratio of \(\text{MgCO}_3 : \text{Mg(OH)}_2 : \text{H}_2\text{O} = 0.040 : 0.010 : 0.040 = 4 : 1 : 4\).
- Empirical formula is \(4\text{MgCO}_3 \cdot \text{Mg(OH)}_2 \cdot 4\text{H}_2\text{O}\).

PastPaper.markingScheme

*(a)*
- **M1**: Calculation of moles of MgO = 0.050 mol (1)
- **M2**: Correct units / working shown (1)

*(b)(i)*
- **M1**: Correct balanced ionic equation (1)
- **M2**: Correct state symbols: (aq), (aq), (g), (l) (1)

*(b)(ii)*
- **M1**: Division of volume by 24000 (or conversion to 0.96 dm³ and division by 24) (1)
- **M2**: Correct answer = 0.040 mol (1)

*(b)(iii)*
- **M1**: State or show total moles of Mg2+ is equal to moles of MgO (0.050) and moles of CO32- is equal to moles of CO2 (0.040) (1)
- **M2**: Deduce correct ratio 5 : 4 (or 1.25 : 1) (1)

*(c)*
- **M1**: Calculate moles of OH- needed for charge balance = 0.020 mol (1)
- **M2**: Calculate total mass of ions (3.955 g) and find mass of water = 0.720 g (1)
- **M3**: Calculate moles of water = 0.040 mol (1)
- **M4**: Deduce the simplest whole-number ratio (4 : 1 : 4) to give empirical formula: 4MgCO3 • Mg(OH)2 • 4H2O (1)
PastPaper.question 2 · Short Answer & Structured Calculations
12 PastPaper.marks
(a) Define the term *first ionization energy*.

(b) The successive ionization energies (in \(\text{kJ mol}^{-1}\)) for an element, \(X\), in Period 3 of the Periodic Table are given below:
- 1st: 578
- 2nd: 1817
- 3rd: 2745
- 4th: 11578
- 5th: 14831

(i) Identify element \(X\). Explain your answer by referencing the data in the table.

(ii) Write an equation, including state symbols, for the reaction corresponding to the third ionization energy of element \(X\).

(c) A sample of another element, \(Y\), consists of two isotopes, \(^{69}Y\) and \(^{71}Y\). The relative atomic mass of this sample is \(69.72\).

(i) Calculate the percentage abundance of each isotope in this sample.

(ii) State how ions are accelerated inside a mass spectrometer.
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PastPaper.workedSolution

(a) The first ionization energy is the energy required to remove one mole of electrons from one mole of gaseous atoms to form one mole of gaseous 1+ ions.

(b) (i) Element \(X\) is Aluminium (\(\text{Al}\)). There is a very large increase (jump) between the third and fourth ionization energies (from \(2745\) to \(11578\text{ kJ mol}^{-1}\)). This indicates that the fourth electron is removed from an inner quantum shell, which is closer to the nucleus and experiences significantly less shielding. Thus, \(X\) has three valence electrons and is in Group 3.

(ii) \(\text{Al}^{2+}(\text{g}) \rightarrow \text{Al}^{3+}(\text{g}) + \text{e}^-\)

(c) (i) Let the percentage abundance of \(^{69}Y\) be \(a\). The abundance of \(^{71}Y\) is \(100 - a\).
\(69.72 = \frac{69.0a + 71.0(100 - a)}{100}\)
\(6972 = 69.0a + 7100 - 71.0a\)
\(2.0a = 128\)
\(a = 64\%\)
So, the abundance of \(^{69}Y\) is \(64\%\) and the abundance of \(^{71}Y\) is \(36\%\).

(ii) Ions are accelerated by an electric field (or by passing them through positively/negatively charged plates).

PastPaper.markingScheme

*(a)*
- **M1**: Energy required to remove 1 mole of electrons from 1 mole of atoms (1)
- **M2**: In the gaseous state (1)
- **M3**: To form 1 mole of gaseous 1+ ions (1)
*(b)(i)*
- **M1**: Identify Aluminium / Al (1)
- **M2**: Reference to the largest increase / jump between the 3rd and 4th ionization energies (1)
- **M3**: Explanation that the 4th electron is removed from an inner shell / shell closer to the nucleus / with less shielding (1)
*(b)(ii)*
- **M1**: Correct species Al2+(g) -> Al3+(g) + e- (or X) (1)
- **M2**: Gaseous state symbols on both metal species (1)
*(c)(i)*
- **M1**: Set up correct algebraic equation (e.g. 69.72 = [69a + 71(100-a)] / 100) (1)
- **M2**: Rearrange and solve for a = 64% (1)
- **M3**: State both abundances correctly: 64% 69Y and 36% 71Y (1)
*(c)(ii)*
- **M1**: Electric field / negatively charged plates (or electrostatic attraction) (1)
PastPaper.question 3 · Short Answer & Structured Calculations
12 PastPaper.marks
(a) Explain, in terms of structure and bonding, why silicon dioxide, \(\text{SiO}_2\), has a very high melting temperature (\(1710\text{ }^\circ\text{C}\)), whereas carbon dioxide, \(\text{CO}_2\), is a gas at room temperature.

(b) Phosphorus forms a chloride with the molecular formula \(\text{PCl}_3\).

(i) Draw a dot-and-cross diagram for a molecule of \(\text{PCl}_3\). Show outer-shell electrons only.

(ii) Name the shape of the \(\text{PCl}_3\) molecule, state its bond angle, and explain this shape using electron-pair repulsion theory.

(iii) Explain why the \(\text{P-Cl}\) bonds are polar, and state whether the \(\text{PCl}_3\) molecule has an overall dipole moment.
PastPaper.showAnswers

PastPaper.workedSolution

(a) - Silicon dioxide has a giant covalent lattice structure. Melting it requires breaking many strong covalent bonds between silicon and oxygen atoms throughout the macromolecular network, which requires a huge amount of thermal energy.
- Carbon dioxide has a simple molecular structure. The molecules are held together by weak intermolecular forces (London/dispersion forces). Only a small amount of energy is needed to overcome these weak forces, leaving the strong double covalent bonds within the molecules intact.

(b) (i) The central phosphorus atom should have 5 outer electrons: 3 are shared individually with 3 chlorine atoms, and 2 form a lone pair. Each chlorine atom has 7 outer electrons: 1 is shared with the P, and 6 remain as 3 lone pairs. All atoms achieve an octet.

(ii) - Shape: Trigonal pyramidal.
- Bond angle: \(107^\circ\) (accept range \(100^\circ - 108^\circ\)).
- Explanation: There are four areas of electron density (3 bonding pairs and 1 lone pair) around the central phosphorus atom. These electron pairs repel each other to get as far apart as possible (in a tetrahedral arrangement). Lone pair-bonding pair repulsion is stronger than bonding pair-bonding pair repulsion, which pushes the bonding pairs closer together, reducing the angle from \(109.5^\circ\) to \(107^\circ\).

(iii) - Chlorine is more electronegative than phosphorus, so the bonding electrons in the \(\text{P-Cl}\) covalent bonds are pulled closer to the chlorine atoms, creating polar bonds with dipoles (\(\text{P}^{\delta+}\text{-Cl}^{\delta-}\)).
- The molecule is asymmetrical (trigonal pyramidal), so the individual bond dipoles do not cancel each other out. Therefore, the molecule has an overall dipole moment (it is a polar molecule).

PastPaper.markingScheme

*(a)*
- **M1**: Identify SiO2 as giant covalent and CO2 as simple molecular (1)
- **M2**: For SiO2, state that strong covalent bonds must be broken (1)
- **M3**: For CO2, state that weak intermolecular forces (London forces) are overcome (not covalent bonds) (1)
- **M4**: Relate the difference in energy required to the physical state / melting temperatures (1)
*(b)(i)*
- **M1**: Three correct P-Cl single covalent bonds (shared pairs) shown (1)
- **M2**: One lone pair on P and three lone pairs on each of the Cl atoms (1)
*(b)(ii)*
- **M1**: State shape as Trigonal pyramidal AND bond angle as 107° (accept 100° to 108°) (1)
- **M2**: State that there are 3 bonding pairs and 1 lone pair around phosphorus (1)
- **M3**: State that electron pairs repel to positions of minimum repulsion / maximum separation (1)
- **M4**: State that lone pair-bonding pair repulsion is greater than bonding pair-bonding pair repulsion (1)
*(b)(iii)*
- **M1**: Chlorine is more electronegative than phosphorus (so bond is polar) (1)
- **M2**: The molecule is asymmetrical / dipoles do not cancel, so it has an overall dipole (polar molecule) (1)
PastPaper.question 4 · Short Answer & Structured Calculations
12 PastPaper.marks
(a) Pentane, \(\text{C}_5\text{H}_{12}\), has three structural isomers.

(i) Draw the skeletal formula and state the IUPAC name for each of these three isomers.

(ii) Explain the trend in the boiling temperatures of these three isomers.

(b) When butane reacts with bromine in the presence of ultraviolet (UV) light, a radical substitution reaction occurs.

(i) Write the equation for the initiation step of this reaction, showing any radicals formed.

(ii) Write two equations representing the propagation steps that lead to the formation of 2-bromobutane.

(iii) Write the equation for a termination step that yields an organic compound with the molecular formula \(\text{C}_8\text{H}_{18}\).

(iv) Suggest why radical substitution is not a suitable method for the laboratory preparation of a pure sample of 2-bromobutane.
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PastPaper.workedSolution

(a) (i) The three structural isomers of \(\text{C}_5\text{H}_{12}\) are:
1. Pentane: \(\text{CH}_3\text{CH}_2\text{CH}_2\text{CH}_2\text{CH}_3\) (Skeletal: a zig-zag line of 4 segments / 5 vertices).
2. 2-Methylbutane: \(\text{CH}_3\text{CH(CH}_3)\text{CH}_2\text{CH}_3\) (Skeletal: butane chain with a methyl branch on Carbon-2).
3. 2,2-Dimethylpropane: \(\text{C(CH}_3)_4\) (Skeletal: a cross shape / central carbon with four outer methyl groups).

(ii) Boiling temperature decreases in the order: pentane > 2-methylbutane > 2,2-dimethylpropane.
As branching increases, the molecules become more compact and spherical, reducing their surface area of contact. This results in fewer and weaker intermolecular London forces (instantaneous dipole-induced dipole interactions) between molecules, requiring less energy to separate them.

(b) (i) \(\text{Br}_2 \xrightarrow{\text{UV}} 2\text{Br}^\bullet\)

(ii) Propagation step 1:
\(\text{CH}_3\text{CH}_2\text{CH}_2\text{CH}_3 + \text{Br}^\bullet \rightarrow \text{CH}_3\text{CH}_2\dot{\text{C}}\text{HCH}_3 + \text{HBr}\)

Propagation step 2:
\(\text{CH}_3\text{CH}_2\dot{\text{C}}\text{HCH}_3 + \text{Br}_2 \rightarrow \text{CH}_3\text{CH}_2\text{CH(Br)CH}_3 + \text{Br}^\bullet\)

(iii) Termination step:
\(2\text{CH}_3\text{CH}_2\dot{\text{C}}\text{HCH}_3 \rightarrow \text{C}_8\text{H}_{18}\) (specifically 3,4-dimethylhexane)

(iv) Radical substitution results in a mixture of products because:
- Further substitution can occur on 2-bromobutane to yield di-, tri-, and poly-brominated alkanes.
- Substitution can also occur at different positions on the butane chain (e.g. producing 1-bromobutane).
Separating these isomers and products is difficult.

PastPaper.markingScheme

*(a)(i)*
- **M1**: All 3 skeletal structures drawn correctly (1)
- **M2**: Correct IUPAC names corresponding to drawings: pentane, 2-methylbutane, and 2,2-dimethylpropane (1)
*(a)(ii)*
- **M1**: State that boiling temperature decreases as branching increases / pentane has the highest and 2,2-dimethylpropane has the lowest (1)
- **M2**: Branching reduces surface area of contact between molecules (1)
- **M3**: Leads to weaker London forces which require less energy to overcome (1)
*(b)(i)*
- **M1**: Br2 -> 2Br• with UV stated/shown over arrow (1)
*(b)(ii)*
- **M1**: Propagation 1: Correct equation showing radical on C2 of butyl chain and HBr (1)
- **M2**: Propagation 2: Correct equation reacting butyl radical with Br2 to form 2-bromobutane and Br• (1)
*(b)(iii)*
- **M1**: Combination of two sec-butyl radicals to form C8H18 (1)
*(b)(iv)*
- **M1**: Further substitution occurs to form poly-substituted products (e.g., dibromobutanes) (1)
- **M2**: Substitution can occur on Carbon-1 to yield structural isomers (1)
PastPaper.question 5 · Short Answer & Structured Calculations
12 PastPaper.marks
(a) But-2-ene, \(\text{CH}_3\text{CH=CHCH}_3\), exhibits stereoisomerism.

(i) Draw the skeletal structures of the *E* and *Z* isomers of but-2-ene, clearly labeling which is which.

(ii) Explain why but-2-ene exists as stereoisomers, whereas but-1-ene does not.

(b) Propene, \(\text{CH}_3\text{CH=CH}_2\), reacts with hydrogen bromide, \(\text{HBr}\), via electrophilic addition to form a major product and a minor product.

(i) Draw the complete mechanism for the reaction of propene with \(\text{HBr}\) to form the major product. Include curly arrows, relevant dipoles (\(\delta+\) and \(\delta-\)), and the structure of the intermediate.

(ii) Identify the major product by name and explain why it is formed in preference to the minor product.
PastPaper.showAnswers

PastPaper.workedSolution

(a) (i)
- *E*-but-2-ene: The two methyl groups (\(\text{-CH}_3\)) are on opposite sides of the carbon-carbon double bond (trans arrangement).
- *Z*-but-2-ene: The two methyl groups (\(\text{-CH}_3\)) are on the same side of the carbon-carbon double bond (cis arrangement).

(ii) - Stereoisomerism (specifically *E*-*Z* isomerism) occurs in but-2-ene because of the restricted rotation about the carbon-carbon double bond due to the presence of the \(\pi\) bond.
- Additionally, each carbon atom of the double bond must be bonded to two different groups. In but-2-ene, each double-bonded carbon is bonded to a hydrogen atom and a methyl group (\(\text{-H}\) and \(\text{-CH}_3\)).
- In but-1-ene, the terminal double-bonded carbon is bonded to two identical groups (two hydrogen atoms), meaning that swapping their positions does not create a new spatial arrangement. Hence, no *E*-*Z* isomerism is possible.

(b) (i) Mechanism steps:
1. Propene double bond attacks the hydrogen atom of \(\text{H}^{\delta+}\text{-Br}^{\delta-}\). Curly arrow starts from the double bond and points to the \(\text{H}\).
2. A curly arrow from the \(\text{H-Br}\) bond points to the \(\text{Br}\) atom, breaking the bond heterolytically.
3. This forms a secondary carbocation intermediate, \(\text{CH}_3\text{C}^+\text{HCH}_3\), and a bromide ion, \(\text{Br}^-\).
4. A curly arrow starts from the lone pair on \(\text{Br}^-\) and points to the positively charged carbon atom of the carbocation.
5. The product 2-bromopropane is formed.

(ii) - Major product: 2-bromopropane.
- Explanation: The reaction proceeds via the more stable secondary carbocation intermediate (\(\text{CH}_3\text{C}^+\text{HCH}_3\)) rather than the less stable primary carbocation (\(\text{CH}_3\text{CH}_2\text{C}^+\text{H}_2\)).
- The secondary carbocation is stabilized by the positive inductive effect of two electron-releasing alkyl (methyl) groups, which spread out and minimize the positive charge on the carbon atom. The primary carbocation has only one alkyl group.

PastPaper.markingScheme

*(a)(i)*
- **M1**: Correct skeletal drawing of E-but-2-ene and Z-but-2-ene (1)
- **M2**: Correctly labeled E and Z isomers (1)
*(a)(ii)*
- **M1**: Restricted rotation around the C=C double bond (due to pi-bond) (1)
- **M2**: For E-Z isomerism, each carbon of the double bond must be attached to two different groups (1)
- **M3**: One carbon in but-1-ene has two identical hydrogen atoms attached, so it cannot show E-Z isomerism (1)
*(b)(i)*
- **M1**: Curly arrow from the C=C double bond of propene to H of H-Br AND dipole on H-Br correctly shown (Hδ+ - Brδ-) (1)
- **M2**: Curly arrow from H-Br bond to Br (1)
- **M3**: Correct drawing of secondary carbocation intermediate with a positive charge on the middle carbon AND Br- with a lone pair (1)
- **M4**: Curly arrow from the lone pair of Br- to the positive carbon (1)
*(b)(ii)*
- **M1**: Name major product: 2-bromopropane (1)
- **M2**: Identify that the secondary carbocation is more stable than the primary carbocation (1)
- **M3**: Explain that the secondary carbocation has two electron-releasing alkyl groups which stabilize the positive charge (positive inductive effect) (1)

Unit 2: Section A

Answer all multiple-choice questions.
12 PastPaper.question · 12 PastPaper.marks
PastPaper.question 1 · Multiple Choice
1 PastPaper.marks
Which of the following describes and explains the trend in thermal stability of Group 2 carbonates down the group from magnesium carbonate to barium carbonate?
  1. A.Thermal stability increases because the cationic radius increases, leading to less polarisation of the carbonate ion.
  2. B.Thermal stability decreases because the cationic radius increases, leading to more polarisation of the carbonate ion.
  3. C.Thermal stability increases because the charge density of the cation increases, leading to less polarisation of the carbonate ion.
  4. D.Thermal stability decreases because the lattice energy of the carbonate increases.
PastPaper.showAnswers

PastPaper.workedSolution

Down Group 2 from magnesium to barium, the ionic radius of the \(M^{2+}\) cation increases while its charge remains constant at \(+2\). This causes a decrease in charge density of the cation down the group. As a result, the larger cations have less polarising power and cause less distortion (polarisation) of the large carbonate ion's electron cloud. Therefore, more thermal energy is required to decompose the carbonate, meaning thermal stability increases down the group.

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PastPaper.question 2 · Multiple Choice
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Under identical reaction conditions, which of the following halogenoalkanes reacts fastest when heated with aqueous silver nitrate in ethanol?
  1. A.1-chlorobutane
  2. B.1-bromobutane
  3. C.2-bromobutane
  4. D.2-iodobutane
PastPaper.showAnswers

PastPaper.workedSolution

The rate of hydrolysis of halogenoalkanes depends on the strength of the carbon-halogen bond. The \(\text{C-I}\) bond is weaker than the \(\text{C-Br}\) and \(\text{C-Cl}\) bonds, so iodoalkanes react faster than bromoalkanes and chloroalkanes. Additionally, secondary halogenoalkanes (like 2-iodobutane) react faster than primary halogenoalkanes (like 1-iodobutane, 1-bromobutane, or 1-chlorobutane) under these conditions due to the greater stability of the carbocation intermediate or easier nucleophilic substitution pathways. Therefore, 2-iodobutane reacts the fastest.

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1 mark for correct option (D).
PastPaper.question 3 · Multiple Choice
1 PastPaper.marks
Which of the following organic compounds has the highest boiling temperature?
  1. A.Propane-1,2-diol
  2. B.Propan-1-ol
  3. C.Propan-2-ol
  4. D.Butan-1-ol
PastPaper.showAnswers

PastPaper.workedSolution

Boiling temperature depends on the strength of intermolecular forces. All of these compounds can form hydrogen bonds, which are the strongest intermolecular forces. Propane-1,2-diol has two hydroxyl (\(-\text{OH}\)) groups per molecule, allowing it to form extensive hydrogen-bonded networks. Propan-1-ol, propan-2-ol, and butan-1-ol only have one \(-\text{OH}\) group per molecule. The additional hydrogen bonding in propane-1,2-diol significantly increases the energy required to separate the molecules, resulting in the highest boiling temperature.

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PastPaper.question 4 · Multiple Choice
1 PastPaper.marks
Using the standard enthalpy changes of combustion (\(\Delta_c H^\ominus\)) below, what is the standard enthalpy change of formation (\(\Delta_f H^\ominus\)) of propane, \(\text{C}_3\text{H}_8\text{(g)}\)? \(\Delta_c H^\ominus[\text{C(s)}] = -393.5\text{ kJ mol}^{-1}\); \(\Delta_c H^\ominus[\text{H}_2\text{(g)}] = -285.8\text{ kJ mol}^{-1}\); \(\Delta_c H^\ominus[\text{C}_3\text{H}_8\text{(g)}] = -2219.2\text{ kJ mol}^{-1}\)
  1. A.\(-104.5\text{ kJ mol}^{-1}\)
  2. B.\(-1539.9\text{ kJ mol}^{-1}\)
  3. C.\(+104.5\text{ kJ mol}^{-1}\)
  4. D.\(+2539.9\text{ kJ mol}^{-1}\)
PastPaper.showAnswers

PastPaper.workedSolution

The formation equation for propane is: \(3\text{C(s)} + 4\text{H}_2\text{(g)} \rightarrow \text{C}_3\text{H}_8\text{(g)}\). Using Hess's law with enthalpy changes of combustion: \(\Delta_f H^\ominus = \sum \Delta_c H^\ominus(\text{reactants}) - \sum \Delta_c H^\ominus(\text{products})\). Therefore, \(\Delta_f H^\ominus = [3 \times (-393.5) + 4 \times (-285.8)] - (-2219.2) = [-1180.5 - 1143.2] + 2219.2 = -2323.7 + 2219.2 = -104.5\text{ kJ mol}^{-1}\).

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1 mark for correct option (A).
PastPaper.question 5 · Multiple Choice
1 PastPaper.marks
Which of the following substances is the yellow solid formed when solid sodium iodide reacts with concentrated sulfuric acid?
  1. A.Sulfur dioxide
  2. B.Sulfur
  3. C.Hydrogen sulfide
  4. D.Iodine
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PastPaper.workedSolution

In the reaction of solid sodium iodide with concentrated sulfuric acid, iodide ions are oxidized to iodine (which is a grey-black solid or a purple vapour). The sulfuric acid is reduced to several products including sulfur dioxide (colourless, choking gas), sulfur (yellow solid), and hydrogen sulfide (gas with a rotten-egg odour). The yellow solid observed is sulfur (S).

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PastPaper.question 6 · Multiple Choice
1 PastPaper.marks
How does the addition of a catalyst affect the Maxwell-Boltzmann distribution of molecular energies for a gas-phase reaction at constant temperature?
  1. A.The peak of the distribution curve shifts to the right and becomes lower.
  2. B.The peak of the distribution curve shifts to the left and becomes higher.
  3. C.The shape of the distribution curve remains unchanged, but the activation energy barrier shifts to a lower value.
  4. D.The shape of the distribution curve remains unchanged, but the activation energy barrier shifts to a higher value.
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PastPaper.workedSolution

A catalyst provides an alternative reaction pathway with a lower activation energy, but it does not alter the temperature or the kinetic energy of the reacting molecules. Therefore, the shape of the Maxwell-Boltzmann distribution curve itself remains completely unchanged. However, the activation energy line (\(E_a\)) is shifted to a lower energy value (to the left), meaning a larger fraction of molecules have energy greater than or equal to the activation energy.

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PastPaper.question 7 · Multiple Choice
1 PastPaper.marks
An organic compound has the molecular formula \(\text{C}_3\text{H}_6\text{O}_2\). Its infrared (IR) spectrum shows a very broad, strong absorption band in the range \(2500\text{--}3300\text{ cm}^{-1}\) and a sharp, strong absorption band at approximately \(1715\text{ cm}^{-1}\). Which compound is consistent with this information?
  1. A.Ethyl formate
  2. B.Methyl acetate
  3. C.Propanoic acid
  4. D.Propan-1-ol
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PastPaper.workedSolution

The broad, strong absorption band in the region \(2500\text{--}3300\text{ cm}^{-1}\) is characteristic of the O-H stretching vibration in carboxylic acids. The sharp, strong band at \(1715\text{ cm}^{-1}\) corresponds to the C=O stretch of a carbonyl group. Together, these indicate the presence of a carboxylic acid functional group (-COOH). Propanoic acid (\(\text{CH}_3\text{CH}_2\text{COOH}\)) is a carboxylic acid with the molecular formula \(\text{C}_3\text{H}_6\text{O}_2\), making it the correct option. Ethyl formate and methyl acetate are esters (no O-H stretch), and propan-1-ol is an alcohol (\(\text{C}_3\text{H}_8\text{O}\), O-H stretch is in the range \(3200\text{--}3650\text{ cm}^{-1}\) and there is no C=O stretch).

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PastPaper.question 8 · Multiple Choice
1 PastPaper.marks
When chlorine gas is reacted with cold, dilute aqueous sodium hydroxide, what are the oxidation states of chlorine in the products formed?
  1. A.\(-1\) and \(+1\)
  2. B.\(-1\) and \(+5\)
  3. C.0 and \(-1\)
  4. D.\(+1\) and \(+5\)
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PastPaper.workedSolution

When chlorine gas reacts with cold, dilute sodium hydroxide, it undergoes disproportionation: \(\text{Cl}_2\text{(g)} + 2\text{NaOH(aq)} \rightarrow \text{NaCl(aq)} + \text{NaClO(aq)} + \text{H}_2\text{O(l)}\). In sodium chloride (\(\text{NaCl}\)), the oxidation state of chlorine is \(-1\). In sodium chlorate(I) (\(\text{NaClO}\)), the oxidation state of chlorine is \(+1\). (Reacting chlorine with hot, concentrated sodium hydroxide yields \(\text{NaCl}\) and \(\text{NaClO}_3\), where chlorine is in the \(-1\) and \(+5\) oxidation states respectively).

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1 mark for correct option (A).
PastPaper.question 9 · multiple-choice
1 PastPaper.marks
Which of the following anhydrous Group 2 nitrates decomposes at the highest temperature?
  1. A.Magnesium nitrate
  2. B.Calcium nitrate
  3. C.Strontium nitrate
  4. D.Barium nitrate
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PastPaper.workedSolution

Thermal stability of Group 2 nitrates increases down the group. As the group is descended, the ionic radius of the \(M^{2+}\) cation increases, while its charge remains \(+2\). This causes the charge density of the cation to decrease, meaning it has a lower polarizing effect on the nitrate anion. Consequently, the nitrogen-oxygen bond in the anion is weakened to a lesser extent, making the nitrate more thermally stable and requiring a higher temperature for decomposition. Therefore, barium nitrate is the most thermally stable.

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1 mark for correct choice D. Reject other choices as thermal stability increases down the group.
PastPaper.question 10 · multiple-choice
1 PastPaper.marks
Under identical reaction conditions, which of the following halogenoalkanes reacts most rapidly with aqueous silver nitrate in ethanol?
  1. A.1-chlorobutane
  2. B.1-bromobutane
  3. C.2-bromo-2-methylpropane
  4. D.2-chloro-2-methylpropane
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PastPaper.workedSolution

The rate of hydrolysis of halogenoalkanes depends on two factors: the strength of the carbon-halogen bond and the mechanism. The C-Br bond is weaker than the C-Cl bond, so C-Br bonds break more easily. Tertiary halogenoalkanes (2-bromo-2-methylpropane and 2-chloro-2-methylpropane) react via the \(S_{\text{N}}1\) mechanism, which is much faster than the \(S_{\text{N}}2\) mechanism of primary halogenoalkanes because the tertiary carbocation intermediate is highly stable. Thus, 2-bromo-2-methylpropane has both a tertiary structure and a weaker carbon-halogen bond, making it react the most rapidly.

PastPaper.markingScheme

1 mark for correct choice C. Reject tertiary chloroalkane (D) as C-Cl is stronger than C-Br. Reject primary bromoalkane (B) as it reacts via the slower SN2 mechanism.
PastPaper.question 11 · multiple-choice
1 PastPaper.marks
Which of the following compounds has the highest boiling temperature?
  1. A.Propan-1-ol
  2. B.Propanal
  3. C.Propanone
  4. D.Methoxyethane
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PastPaper.workedSolution

Propan-1-ol is an alcohol and contains a highly polar \(\text{O-H}\) group, which enables it to form intermolecular hydrogen bonds. Hydrogen bonds are the strongest type of intermolecular force. Propanal, propanone, and methoxyethane do not have \(\text{O-H}\) groups and can only form permanent dipole-dipole forces and London forces. Therefore, propan-1-ol requires the most energy to overcome its intermolecular forces, resulting in the highest boiling temperature.

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1 mark for correct choice A. Reject other options because they lack hydrogen bonding.
PastPaper.question 12 · multiple-choice
1 PastPaper.marks
Consider the following standard enthalpy changes of combustion:

\(\Delta_{\text{c}}H^{\ominus}[\text{C}_2\text{H}_4(\text{g})] = -1411\text{ kJ mol}^{-1}\)

\(\Delta_{\text{c}}H^{\ominus}[\text{H}_2(\text{g})] = -286\text{ kJ mol}^{-1}\)

\(\Delta_{\text{c}}H^{\ominus}[\text{C}_2\text{H}_6(\text{g})] = -1560\text{ kJ mol}^{-1}\)

What is the standard enthalpy change of hydrogenation of ethene, \(\Delta_{\text{r}}H^{\ominus}\), for the reaction shown below?

\(\text{C}_2\text{H}_4(\text{g}) + \text{H}_2(\text{g}) \rightarrow \text{C}_2\text{H}_6(\text{g})\)
  1. A.\(-137\text{ kJ mol}^{-1}\)
  2. B.\(+137\text{ kJ mol}^{-1}\)
  3. C.\(-3257\text{ kJ mol}^{-1}\)
  4. D.\(+3257\text{ kJ mol}^{-1}\)
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PastPaper.workedSolution

According to Hess's Law, using standard enthalpy changes of combustion: \(\Delta_{\text{r}}H^{\ominus} = \sum \Delta_{\text{c}}H^{\ominus}(\text{reactants}) - \sum \Delta_{\text{c}}H^{\ominus}(\text{products})\). Substituting the given values: \(\Delta_{\text{r}}H^{\ominus} = [(-1411) + (-286)] - [-1560] = -1697 + 1560 = -137\text{ kJ mol}^{-1}\).

PastPaper.markingScheme

1 mark for correct choice A. Reject B (incorrect sign). Reject C and D (incorrect combination of enthalpy values).

Unit 2: Section B

Answer all structured inorganic and energetics questions.
4 PastPaper.question · 40 PastPaper.marks
PastPaper.question 1 · Structured Calculations & Descriptions
10 PastPaper.marks
This question is about trends in Group 2 compounds and the reactions of Group 7 halides.

(a) Explain, in terms of structure and bonding, the trend in the thermal stability of Group 2 carbonates down the group from magnesium carbonate to barium carbonate. (4)

(b) When solid sodium bromide, \(\text{NaBr}\), is reacted with concentrated sulfuric acid, a mixture of gases is produced, including hydrogen bromide, bromine, and sulfur dioxide.

(i) State the observations you would expect to make during this reaction. (2)

(ii) Write two chemical equations representing the different reactions occurring: one representing the initial acid-base reaction, and one representing the subsequent redox reaction. (2)

(iii) State the role of concentrated sulfuric acid in each of the reactions in (ii). (2)
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PastPaper.workedSolution

(a)
- The thermal stability of Group 2 carbonates increases down the group. (1)
- Going down the group, the ionic radius of the Group 2 cation (\(\text{M}^{2+}\)) increases while keeping the same \(2+\) charge. (1)
- Thus, the charge density of the cation decreases. (1)
- The larger cation has less polarizing power and causes less polarization/distortion of the carbonate ion (\(\text{CO}_3^{2-}\)), making the C-O bonds harder to break and requiring more thermal energy to decompose. (1)

(b)(i)
- Misty/steamy fumes (due to \(\text{HBr}\)). (1)
- Orange-brown vapour/fumes (due to \(\text{Br}_2\)) or a choking gas (due to \(\text{SO}_2\)). (1)

(ii)
- Acid-base reaction:
\(\text{NaBr}(\text{s}) + \text{H}_2\text{SO}_4(\text{l}) \rightarrow \text{NaHSO}_4(\text{s}) + \text{HBr}(\text{g})\) (or with \(\text{Na}_2\text{SO}_4\) stoichiometry). (1)
- Redox reaction:
\(2\text{HBr}(\text{g}) + \text{H}_2\text{SO}_4(\text{l}) \rightarrow \text{Br}_2(\text{g}) + \text{SO}_2(\text{g}) + 2\text{H}_2\text{O}(\text{l})\) (or equivalent ionic equation). (1)

(iii)
- In the first reaction, sulfuric acid acts as an acid (or proton donor). (1)
- In the second reaction, sulfuric acid acts as an oxidizing agent. (1)

PastPaper.markingScheme

Part (a) [4 marks]
- MP1: States that thermal stability increases down the group. (1)
- MP2: Mentions that ionic radius of the \(\text{M}^{2+}\) cation increases down the group / charge remains \(2+\). (1)
- MP3: Mentions that the charge density of the cation decreases. (1)
- MP4: Explains that there is less polarization/distortion of the carbonate ion/electron cloud, meaning C-O bond is weakened less. (1)

Part (b)(i) [2 marks]
- MP1: Misty fumes / steamy fumes. (1)
- MP2: Brown/orange fumes or gas / choking gas. (1)
Do not accept: 'yellow solid' (since that is sulfur, which is not formed with bromide but only iodide).

Part (b)(ii) [2 marks]
- MP1: Correctly balanced equation for the acid-base reaction. (1)
- MP2: Correctly balanced equation for the redox reaction. (1)

Part (b)(iii) [2 marks]
- MP1: Identifies H2SO4 as an acid / proton donor in reaction 1. (1)
- MP2: Identifies H2SO4 as an oxidizing agent in reaction 2. (1)
PastPaper.question 2 · Structured Calculations & Descriptions
10 PastPaper.marks
This question is about determination of the enthalpy of hydration of anhydrous copper(II) sulfate.

In an experiment, a student dissolved 5.00 g of anhydrous copper(II) sulfate, \(\text{CuSO}_4\) (molar mass \(= 159.6 \text{ g mol}^{-1}\)), in 50.0 g of water in a polystyrene cup calorimeter.
The temperature of the water increased from 19.5 °C to 34.2 °C.

(a) Calculate the enthalpy change of solution, \(\Delta H_{\text{soln}}\), for anhydrous copper(II) sulfate in \(\text{kJ mol}^{-1}\).
Assume that the specific heat capacity of the mixture is \(4.18 \text{ J g}^{-1} \text{ K}^{-1}\) and that the mass of the mixture is 50.0 g. Give your answer to 3 significant figures. (5)

(b) The enthalpy change of solution for copper(II) sulfate pentahydrate, \(\text{CuSO}_4\cdot5\text{H}_2\text{O}(\text{s})\), was determined by another student to be \(+11.5 \text{ kJ mol}^{-1}\).

(i) Draw a labeled Hess's Law cycle relating the enthalpy of hydration of anhydrous copper(II) sulfate, \(\Delta H_{\text{hyd}}\), to the two enthalpies of solution. (2)

(ii) Calculate the value of the enthalpy of hydration, \(\Delta H_{\text{hyd}}\), of anhydrous copper(II) sulfate in \(\text{kJ mol}^{-1}\). (3)
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PastPaper.workedSolution

(a)
- Step 1: Calculate heat energy released (\(q\)):
\(q = m c \Delta T\)
\(m = 50.0 \text{ g}\)
\(c = 4.18 \text{ J g}^{-1} \text{ K}^{-1}\)
\(\Delta T = 34.2 - 19.5 = 14.7 \text{ K}\) (or °C)
\(q = 50.0 \times 4.18 \times 14.7 = 3072.3 \text{ J} = 3.0723 \text{ kJ}\) (1)

- Step 2: Calculate moles of \(\text{CuSO}_4\):
\(n = \frac{5.00}{159.6} = 0.03133 \text{ mol}\) (1)

- Step 3: Calculate enthalpy change per mole (\(\Delta H_{\text{soln}}\)):
\(\Delta H_{\text{soln}} = -\frac{3.0723 \text{ kJ}}{0.03133 \text{ mol}} = -98.06 \text{ kJ mol}^{-1}\) (1)

- Accuracy and signs:
Enthalpy is negative as the temperature increased (exothermic reaction). (1)
Rounding to 3 significant figures gives: \(-98.1 \text{ kJ mol}^{-1}\). (1)

(b)(i)
The cycle should be:
\(\text{CuSO}_4(\text{s}) + 5\text{H}_2\text{O}(\text{l}) \xrightarrow{\Delta H_{\text{hyd}}} \text{CuSO}_4\cdot5\text{H}_2\text{O}(\text{s})\)
Both point down towards \(\text{CuSO}_4(\text{aq})\):
- From \(\text{CuSO}_4(\text{s}) + 5\text{H}_2\text{O}(\text{l})\) down to \(\text{CuSO}_4(\text{aq})\) via \(\Delta H_{\text{soln}}(\text{anhydrous})\) (or \(-98.1\))
- From \(\text{CuSO}_4\cdot5\text{H}_2\text{O}(\text{s})\) down to \(\text{CuSO}_4(\text{aq})\) via \(\Delta H_{\text{soln}}(\text{hydrated})\) (or \(+11.5\)) (2)

(b)(ii)
Using Hess's law:
\(\Delta H_{\text{hyd}} + \Delta H_{\text{soln}}(\text{hydrated}) = \Delta H_{\text{soln}}(\text{anhydrous})\)
\(\Delta H_{\text{hyd}} = \Delta H_{\text{soln}}(\text{anhydrous}) - \Delta H_{\text{soln}}(\text{hydrated})\)
\(\Delta H_{\text{hyd}} = -98.1 - (+11.5) = -109.6 \text{ kJ mol}^{-1}\) (or \(-110 \text{ kJ mol}^{-1}\) using 3 s.f.). (3)

PastPaper.markingScheme

Part (a) [5 marks]
- MP1: Correctly calculates \(q = 3072.3 \text{ J}\) (or \(3.07 \text{ kJ}\)). (1)
- MP2: Correctly calculates \(n(\text{CuSO}_4) = 0.0313 \text{ mol}\). (1)
- MP3: Divides \(q\) by \(n\) to obtain value. (1)
- MP4: Negative sign included (exothermic reaction). (1)
- MP5: Final value of \(-98.1 \text{ kJ mol}^{-1}\) (3 significant figures, unit included). (1)
(Allow error carried forward from incorrect values of \(q\) or \(n\)).

Part (b)(i) [2 marks]
- MP1: Correct species at the three corners of the cycle: \(\text{CuSO}_4(\text{s}) + 5\text{H}_2\text{O}(\text{l})\) [or aq], \(\text{CuSO}_4\cdot5\text{H}_2\text{O}(\text{s})\), and \(\text{CuSO}_4(\text{aq})\). (1)
- MP2: All three arrows pointing in the correct directions with correct enthalpy labels. (1)

Part (b)(ii) [3 marks]
- MP1: Correctly states equation: \(\Delta H_{\text{hyd}} = \Delta H_{\text{soln}}(\text{anhydrous}) - \Delta H_{\text{soln}}(\text{hydrated})\). (1)
- MP2: Correct substitution: \(-98.1 - 11.5\). (1)
- MP3: Value of \(-109.6 \text{ kJ mol}^{-1}\) (or \(-110\) if using 3 s.f.) with correct negative sign. (1)
(Accept error carried forward from the answer to part a).
PastPaper.question 3 · Structured Calculations & Descriptions
10 PastPaper.marks
This question is about halogenoalkanes.

(a) The halogenoalkane 2-bromo-2-methylpropane reacts with aqueous sodium hydroxide in a nucleophilic substitution reaction.

(i) State the mechanism type for this reaction. (1)

(ii) Draw the mechanism for this reaction. Show curly arrows to represent the movement of electron pairs, any partial/full charges, and the structures of the organic reactant, intermediate, and product. (4)

(b) A student carries out an experiment to compare the rates of hydrolysis of three halogenoalkanes: 1-chlorobutane, 1-bromobutane, and 1-iodobutane.

(i) Outline the procedure that should be used to compare the rates of reaction. Include the reagents used and the key observation to record. (3)

(ii) State and explain the trend in the rate of hydrolysis of these three compounds with reference to the carbon-halogen bond strength. (2)
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PastPaper.workedSolution

(a)(i)
- \(\text{S}_\text{N}1\) (nucleophilic substitution, unimolecular). (1)

(ii)
- Step 1: 2-bromo-2-methylpropane structure drawn. A curly arrow from the C-Br bond to the Br atom. Partial charges \(\delta+\) on C and \(\delta-\) on Br shown. (1)
- Intermediate carbocation: \((\text{CH}_3)_3\text{C}^+\) structure shown with a formal positive charge on the central carbon, and \(\text{Br}^-\). (1)
- Step 2: A curly arrow starting from a lone pair on the hydroxide ion, \(\text{OH}^-\), pointing to the positive carbon of the carbocation. (1)
- Product structure: 2-methylpropan-2-ol, \((\text{CH}_3)_3\text{COH}\), correctly drawn. (1)

(b)(i)
- Reagents: Add ethanol (as a solvent to allow halogenoalkanes and water to mix) and aqueous silver nitrate. (1)
- Conditions: Place tubes in a water bath at a constant temperature (e.g., 50–60 °C). (1)
- Observation/Measurement: Measure the time taken for a precipitate of the silver halide to form / appear. (1)

(ii)
- Trend: Rate increases in the order: 1-chlorobutane < 1-bromobutane < 1-iodobutane (i.e., 1-iodobutane hydrolyzes fastest). (1)
- Explanation: Bond enthalpy / bond strength decreases down the group from C-Cl to C-I, making the C-I bond the easiest to break. (1)

PastPaper.markingScheme

Part (a)(i) [1 mark]
- MP1: \(\text{S}_\text{N}1\) (or nucleophilic substitution, unimolecular). (1)
Reject: \(\text{S}_\text{N}2\).

Part (a)(ii) [4 marks]
- MP1: Correct reactant structure with polar C-Br bond (\(\delta+\) on C, \(\delta-\) on Br) and curly arrow from the C-Br bond to Br. (1)
- MP2: Correct carbocation intermediate structure shown with a clear positive charge on the carbon. (1)
- MP3: Curly arrow from the lone pair on \(\text{OH}^-\)/oxygen to the positive central carbon. (1)
- MP4: Correct product structure (2-methylpropan-2-ol). (1)

Part (b)(i) [3 marks]
- MP1: Uses ethanol (as co-solvent) and aqueous silver nitrate (reagents). (1)
- MP2: Mentions warming in a water bath / keeping temperature constant. (1)
- MP3: Measures time taken for a precipitate to appear / compare rates of precipitate formation. (1)

Part (b)(ii) [2 marks]
- MP1: Correct trend (iodobutane is fastest / chlorobutane is slowest). (1)
- MP2: Explains that bond enthalpy decreases from C-Cl to C-I (bond strength decreases), so the C-I bond is easiest to break. (1)
Reject: any mention of bond polarity as the explanation.
PastPaper.question 4 · Structured Calculations & Descriptions
10 PastPaper.marks
This question is about the kinetics of the decomposition of hydrogen peroxide.

Hydrogen peroxide, \(\text{H}_2\text{O}_2(\text{aq})\), decomposes slowly at room temperature:
\(2\text{H}_2\text{O}_2(\text{aq}) \rightarrow 2\text{H}_2\text{O}(\text{l}) + \text{O}_2(\text{g})\)

(a) On a sketch of a Maxwell-Boltzmann distribution of molecular energies for a sample of hydrogen peroxide molecules at temperature \(T_1\):

(i) Label the axes clearly. (1)

(ii) Draw the curve starting at the origin, showing its characteristic shape. (1)

(iii) Mark the activation energy for the uncatalyzed reaction, \(E_{\text{a}}\), and shade the area representing the fraction of molecules that have sufficient energy to react. (2)

(b) The decomposition can be accelerated by adding a small amount of manganese(IV) oxide, \(\text{MnO}_2(\text{s})\).

(i) On your sketch, mark the activation energy for the catalyzed reaction, \(E_{\text{cat}}\). Explain, by referring to your diagram, how the catalyst increases the rate of reaction. (3)

(ii) Describe and explain how the curve would change if the temperature was increased to a higher temperature, \(T_2\). How does this change affect the rate of reaction? (3)
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PastPaper.workedSolution

(a)(i)
- x-axis: Energy / Kinetic Energy. (1/2)
- y-axis: Number of molecules / Fraction of molecules (with energy \(E\)). (1/2)

(ii)
- The curve starts at the origin \((0,0)\), rises to a single peak, and falls to approach the x-axis asymptotically (it must not touch the x-axis or cross it at high energy). (1)

(iii)
- \(E_{\text{a}}\) marked on the x-axis to the right of the peak. (1)
- Area to the right of \(E_{\text{a}}\) under the curve is shaded. (1)

(b)(i)
- \(E_{\text{cat}}\) is marked on the x-axis to the left of \(E_{\text{a}}\). (1)
- A catalyst provides an alternative reaction pathway with a lower activation energy. (1)
- Therefore, a significantly larger fraction of molecules (larger shaded area to the right of \(E_{\text{cat}}\)) have energy greater than or equal to the activation energy, leading to a higher frequency of successful collisions. (1)

(b)(ii)
- At the higher temperature \(T_2\), the peak of the curve is lower and shifted to the right. (1)
- The curve at \(T_2\) is higher than the curve at \(T_1\) at high energies (past \(E_{\text{a}}\)). (1)
- Thus, a greater fraction of molecules have energy \(\ge E_{\text{a}}\), leading to a higher frequency of successful collisions and a faster rate of reaction. (1)

PastPaper.markingScheme

Part (a) [4 marks]
- MP1: Correct labels on both axes: y-axis as 'Number of molecules'/'Fraction of molecules', x-axis as 'Energy'/'Kinetic Energy'. (1)
- MP2: Correct shape of the curve: starts at origin, single peak, does not touch/cross the x-axis at the high-energy tail. (1)
- MP3: \(E_{\text{a}}\) correctly positioned on the x-axis. (1)
- MP4: Shading of the area to the right of \(E_{\text{a}}\) under the curve. (1)

Part (b)(i) [3 marks]
- MP1: \(E_{\text{cat}}\) marked to the left of \(E_{\text{a}}\) on the x-axis. (1)
- MP2: Explains that the catalyst provides an alternative pathway with a lower activation energy. (1)
- MP3: Explains that more molecules have energy \(\ge E_{\text{cat}}\) / greater area under curve is shaded, leading to more successful collisions per unit time. (1)

Part (b)(ii) [3 marks]
- MP1: Curve at higher temperature \(T_2\) has a lower peak shifted to the right. (1)
- MP2: Curve at \(T_2\) is higher at high energies (crosses \(T_1\) curve once and remains above it at the tail). (1)
- MP3: Explains that a larger fraction of molecules now have energy \(\ge E_{\text{a}}\), resulting in a higher frequency of successful collisions / more successful collisions per unit time. (1)

Unit 2: Section C

Answer all structured organic synthesis and classification questions.
1 PastPaper.question · 20 PastPaper.marks
PastPaper.question 1 · Organic Synthesis & Structural Identification
20 PastPaper.marks

This question is about Compound A, an organic intermediate used widely in the design of synthetic fragrances and flavorings. Compound A has the molecular formula \(\text{C}_5\text{H}_{10}\text{O}\).

(a) The infrared (IR) spectrum of Compound A contains a broad, strong absorption peak in the range \(3200-3600\text{ cm}^{-1}\) and a sharp, weaker absorption peak at \(1650\text{ cm}^{-1}\).

  1. Identify the bonds and functional groups responsible for both of these IR absorption peaks. [2]
  2. In the mass spectrum of Compound A, a prominent fragment peak is observed at \(m/z = 71\). Deduce the formula of the species responsible for this peak, including its charge. [1]
  3. Compound A is a branched-chain primary alcohol that does not show E/Z (geometric) isomerism. Draw the skeletal formula of Compound A. [2]

(b) Compound A undergoes several standard organic reactions.

  1. When Compound A is reacted with phosphorus(V) chloride, \(\text{PCl}_5\), a vigorous reaction occurs. State one observation for this reaction and draw the skeletal formula of the organic product. [2]
  2. Under different conditions, Compound A can be oxidized using acidified potassium dichromate(VI), \(\text{K}_2\text{Cr}_2\text{O}_7 / \text{H}^+\). Describe the experimental setup and technique required to prepare and obtain a pure sample of the aldehyde, 3-methylbut-2-enal, rather than the carboxylic acid. Explain your answer in terms of intermolecular forces. [3]
  3. Draw the skeletal formula of the carboxylic acid formed when Compound A is heated under reflux with excess acidified potassium dichromate(VI). [1]
  4. Describe the color change observed when bromine in an organic solvent is added to Compound A, and draw the skeletal formula of the organic product formed. [3]

(c) An alternative "green" synthesis of Compound A involves the acid-catalyzed addition of 2-methylpropene to methanal (formaldehyde):

\(\text{C}_4\text{H}_8 + \text{HCHO} \rightarrow \text{C}_5\text{H}_{10}\text{O}\)

  1. Calculate the atom economy of this reaction. Show your working. [2]
  2. Suggest two other principles of green chemistry, other than atom economy, that make this catalytic pathway preferable to a traditional multi-step halogenation-substitution route. [2]
  3. In a laboratory preparation, \(11.2\text{ g}\) of 2-methylpropene (\(M_{\text{r}} = 56.0\)) was reacted with excess methanal (\(M_{\text{r}} = 30.0\)) to produce \(12.9\text{ g}\) of Compound A (\(M_{\text{r}} = 86.0\)). Calculate the percentage yield of Compound A, giving your answer to three significant figures. [2]
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PastPaper.workedSolution

Part (a)

  • (i) The broad peak at \(3200-3600\text{ cm}^{-1}\) is due to the \(\text{O-H}\) bond stretch of an alcohol [1]. The peak at \(1650\text{ cm}^{-1}\) is due to the \(\text{C=C}\) bond stretch of an alkene [1].
  • (ii) The molecular mass of Compound A (\(\text{C}_5\text{H}_{10}\text{O}\)) is \(86\). The loss of a methyl radical (\(\cdot\text{CH}_3\), mass = \(15\)) yields a fragment with \(m/z = 71\). The species is \(\text{[C}_4\text{H}_7\text{O]}^+\) [1]. (Charge must be shown; accept structurally written cations like \(\text{[(CH}_3\text{)C=CH-CH}_2\text{OH]}^{+}\) or similar).
  • (iii) To prevent E/Z isomerism, one of the doubly-bonded carbons must be attached to two identical groups. In a branched 5-carbon skeleton containing a primary alcohol, this corresponds to 3-methylbut-2-en-1-ol (where C3 is attached to two methyl groups):

    Award [2] for correct skeletal structure showing the double bond at C2-C3, branch at C3, and primary alcohol group. Award [1] if structural/displayed formula drawn correctly instead of skeletal, or if a branched isomer is drawn that incorrectly exhibits E/Z isomerism.

Part (b)

  • (i) Observation: Misty white / steamy fumes [1].
    Skeletal formula: Same skeleton as A but with chlorine instead of the hydroxyl group (1-chloro-3-methylbut-2-ene) [1].
  • (ii) Set up the apparatus for distillation [1] (or distill off the aldehyde as it forms).
    The aldehyde lacks an \(\text{O-H}\) bond and cannot form intermolecular hydrogen bonds (only dipole-dipole forces), meaning it has a lower boiling point than both the starting alcohol and the carboxylic acid product [1].
    Immediate distillation removes the aldehyde from the reaction mixture, preventing further oxidation to the carboxylic acid [1].
  • (iii) Heating under reflux with excess oxidising agent oxidises the primary alcohol group to a carboxylic acid. Skeletal formula of 3-methylbut-2-enoic acid: same carbon skeleton with a \(\text{=O}\) and \(\text{-OH}\) on the terminal carbon [1].
  • (iv) Color change: Orange / brown / yellow to colorless (decolorized) [1] (Reject: 'discolored' or 'clear').
    Skeletal formula of addition product (2,3-dibromo-3-methylbutan-1-ol): 2 bromine atoms added across the C=C double bond, single bond remaining, alcohol group intact [2] (Award [1] if carbon skeleton is correct but bromine atoms or alcohol are incorrectly placed).

Part (c)

  • (i) In addition reactions where only one product is formed, all atoms of the reactants are converted into the desired product. Therefore, the atom economy is 100% [1].
    Working: \(\text{Atom economy} = \frac{M_{\text{r}}(\text{desired product})}{\sum M_{\text{r}}(\text{reactants})} \times 100 = \frac{86.0}{56.0 + 30.0} \times 100 = 100\%\) [1].
  • (ii) Any two principles of Green Chemistry from:
    - Use of a catalyst (increases reaction rate, allows lower reaction temperatures/pressures) [1].
    - Prevention of waste (no toxic byproducts like \(\text{HCl}\) are produced) [1].
    - Safer reagents/solvents (avoids hazardous/chlorinated reagents) [1].
    - Energy efficiency (reduces energy demands of chemical processes) [1].
  • (iii) \(\text{Moles of 2-methylpropene} = \frac{11.2}{56.0} = 0.200\text{ mol}\) [1].
    Since stoichiometry is 1:1, theoretical moles of Compound A = \(0.200\text{ mol}\).
    \[ \text{Theoretical yield of A} = 0.200\text{ mol} \times 86.0\text{ g mol}^{-1} = 17.2\text{ g} \]
    \[ \text{Percentage yield} = \frac{12.9}{17.2} \times 100\% = 75.0\% \]
    [1] (Accept 75% or 75.0%).

PastPaper.markingScheme


  • (a)(i) [2 marks]

    • 1 mark: O-H bond stretch (alcohol) at 3200-3600 cm^-1. (Accept 'hydroxyl group')

    • 1 mark: C=C bond stretch (alkene) at 1650 cm^-1. (Reject: C=O)



  • (a)(ii) [1 mark]

    • 1 mark: [C4H7O]+ or [(CH3)2C=CHCH2]+ (Charge is essential. Reject neutral formula).



  • (a)(iii) [2 marks]

    • 2 marks: Correct skeletal formula of 3-methylbut-2-en-1-ol.

    • 1 mark: Correct atoms/groups but drawn as structural/displayed formula, OR skeletal formula of a branched 5-carbon isomer that has E/Z isomerism (e.g., 2-methylbut-2-en-1-ol).



  • (b)(i) [2 marks]

    • 1 mark: Misty white fumes / steamy fumes. (Accept: cloudy gas. Reject: white smoke).

    • 1 mark: Correct skeletal formula of 1-chloro-3-methylbut-2-ene.



  • (b)(ii) [3 marks]

    • 1 mark: Distillation setup / distill off product as it forms.

    • 1 mark: Aldehyde has lower boiling point / cannot form hydrogen bonds (only dipole-dipole).

    • 1 mark: Distillation prevents further contact with oxidizing agent / prevents further oxidation.



  • (b)(iii) [1 mark]

    • 1 mark: Correct skeletal formula of 3-methylbut-2-enoic acid.



  • (b)(iv) [3 marks]

    • 1 mark: Orange/yellow/brown to colorless. (Reject: clear).

    • 2 marks: Correct skeletal formula of 2,3-dibromo-3-methylbutan-1-ol. (1 mark if bromine atoms placed on incorrect carbons of the skeleton).



  • (c)(i) [2 marks]

    • 1 mark: Showing sum of reactant masses (56.0 + 30.0) or noting addition reaction with single product.

    • 1 mark: 100%.



  • (c)(ii) [2 marks]

    • 1 mark each for any two valid green chemistry principles listed in the solution.



  • (c)(iii) [2 marks]

    • 1 mark: Correct calculation of moles of reactant (0.200 mol).

    • 1 mark: Correct percentage yield of 75.0% (allow 75%).



PastPaper.section Unit 3

Answer all structured questions testing qualitative tests and experimental volumetric skills.
4 PastPaper.question · 50 PastPaper.marks
PastPaper.question 1 · Practical Analysis & Stoichiometric Titrations
12.5 PastPaper.marks
A student carries out an experiment to determine the mass of anhydrous iron(II) sulfate, \(\text{FeSO}_4\), in a dietary supplement tablet.

Five tablets with a combined mass of 1.750 g were crushed and dissolved in an excess of dilute sulfuric acid. The resulting mixture was filtered, and the filtrate and washings were transferred to a volumetric flask and made up to exactly 250.0 cm\(^3\) with distilled water.

A 25.0 cm\(^3\) portion of this solution was pipetted into a conical flask and titrated against 0.0125 mol dm\(^{-3}\) potassium manganate(VII), \(\text{KMnO}_4\), solution. The mean titre required for complete oxidation of the \(\text{Fe}^{2+}\) ions was 14.15 cm\(^3\).

(a) Write the ionic equation for the reaction between \(\text{Fe}^{2+}\) and \(\text{MnO}_4^-\) in acidic solution. [2 marks]

(b) Explain why dilute sulfuric acid is used to dissolve the tablets and acidify the titration mixture, rather than hydrochloric acid or nitric acid. [2 marks]

(c) Describe the colour change at the end point of this titration. [1 mark]

(d) Calculate the mass, in grams, of iron(II) sulfate in one tablet. Give your answer to 3 significant figures. [5 marks]

(e) The uncertainty in each burette reading is \(\pm 0.05\) cm\(^3\). Calculate the percentage uncertainty in the mean titre volume of 14.15 cm\(^3\). [1.5 marks]

(f) Suggest a reason why the dietary supplement tablets are coated. [1 mark]
PastPaper.showAnswers

PastPaper.workedSolution

(a) \(\text{MnO}_4^-(aq) + 5\text{Fe}^{2+}(aq) + 8\text{H}^+(aq) \rightarrow \text{Mn}^{2+}(aq) + 5\text{Fe}^{3+}(aq) + 4\text{H}_2\text{O}(l)\)

(b) Hydrochloric acid contains chloride ions (\(\text{Cl}^-\)), which would be oxidised to chlorine gas (\(\text{Cl}_2\)) by the strong oxidising agent \(\text{MnO}_4^-\), leading to an inaccurately high titre. Nitric acid is a strong oxidising agent itself and would oxidise some of the \(\text{Fe}^{2+}\) to \(\text{Fe}^{3+}\) before the titration, leading to an inaccurately low titre.

(c) Colourless to a permanent pale pink.

(d)
- Moles of \(\text{MnO}_4^-\):
\(n(\text{MnO}_4^-) = 0.0125 \text{ mol dm}^{-3} \times \frac{14.15}{1000} \text{ dm}^3 = 1.76875 \times 10^{-4} \text{ mol}\)
- Moles of \(\text{Fe}^{2+}\) in 25.0 cm\(^3\) aliquot (1:5 ratio):
\(n(\text{Fe}^{2+}) = 5 \times 1.76875 \times 10^{-4} \text{ mol} = 8.84375 \times 10^{-4} \text{ mol}\)
- Moles of \(\text{Fe}^{2+}\) in 250.0 cm\(^3\) volumetric flask:
\(n(\text{Fe}^{2+}) = 10 \times 8.84375 \times 10^{-4} \text{ mol} = 8.84375 \times 10^{-3} \text{ mol}\)
- Moles of \(\text{FeSO}_4\) per tablet (5 tablets used):
\(n(\text{FeSO}_4\text{ per tablet}) = \frac{8.84375 \times 10^{-3} \text{ mol}}{5} = 1.76875 \times 10^{-3} \text{ mol}\)
- Mass of \(\text{FeSO}_4\) per tablet:
\(M_r(\text{FeSO}_4) = 55.8 + 32.1 + (4 \times 16.0) = 151.9 \text{ g mol}^{-1}\)
\(\text{Mass} = 1.76875 \times 10^{-3} \text{ mol} \times 151.9 \text{ g mol}^{-1} = 0.26867 \text{ g} \approx 0.269 \text{ g}\)

(e) Since a titre is calculated from two readings (initial and final), the total uncertainty is:
\(2 \times 0.05 \text{ cm}^3 = 0.10 \text{ cm}^3\)
\(\text{Percentage uncertainty} = \frac{0.10}{14.15} \times 100\% = 0.707\%\)

(f) The coating prevents contact with oxygen and moisture in the air, which would oxidise the iron(II) (\(\text{Fe}^{2+}\)) ions to iron(III) (\(\text{Fe}^{3+}\)) ions.

PastPaper.markingScheme

- Part (a): [2 marks]
- 1 mark for correct reactants and products.
- 1 mark for correct balancing.
- Part (b): [2 marks]
- 1 mark for identifying that \(\text{Cl}^-\)/HCl would be oxidised to chlorine.
- 1 mark for identifying that nitric acid is an oxidising agent that would oxidise \(\text{Fe}^{2+}\).
- Part (c): [1 mark]
- 1 mark for colourless to permanent pale pink. (Reject purple to pink).
- Part (d): [5 marks]
- 1 mark for calculating moles of \(\text{MnO}_4^-\) (\(1.77 \times 10^{-4}\) mol).
- 1 mark for scaling to 25.0 cm\(^3\) aliquot (\(8.84 \times 10^{-4}\) mol).
- 1 mark for scaling to 250.0 cm\(^3\) solution (\(8.84 \times 10^{-3}\) mol).
- 1 mark for dividing by 5 to find moles per tablet (\(1.77 \times 10^{-3}\) mol).
- 1 mark for final mass of 0.269 g (accept 0.268 - 0.270 g).
- Part (e): [1.5 marks]
- 1 mark for total uncertainty in titre being 0.10 cm\(^3\).
- 0.5 marks for correct calculation of 0.71% or 0.707%.
- Part (f): [1 mark]
- 1 mark for stating that it prevents oxidation of \(\text{Fe}^{2+}\) to \(\text{Fe}^{3+}\) by air.
PastPaper.question 2 · Practical Analysis & Stoichiometric Titrations
12.5 PastPaper.marks
An experiment was conducted to compare the rates of hydrolysis of three halogenoalkanes: 1-chlorobutane, 1-bromobutane, and 1-iodobutane.

(a) State the reagents and conditions required to carry out this comparison in a single experiment, allowing the rate of reaction to be measured visually. [3 marks]

(b) Explain why ethanol is added to the reaction mixture. [1 mark]

(c) Describe the relative rate of reaction for each halogenoalkane by listing them from fastest to slowest, and state the appearance of the precipitate formed in each case. [3 marks]

(d) Explain the trend in the rates of hydrolysis of these halogenoalkanes in terms of the factors affecting the reaction rate. [3 marks]

(e) If the experiment were repeated under identical conditions using 2-bromo-2-methylpropane instead of 1-bromobutane, predict the effect on the rate of reaction and explain your reasoning. [2.5 marks]
PastPaper.showAnswers

PastPaper.workedSolution

(a) Reagents: Aqueous silver nitrate solution (\(\text{AgNO}_3(aq)\)) and ethanol.
Conditions: Heated in a water bath (at approximately 50-60 °C) with all other variables kept constant (such as volumes and concentrations).

(b) Halogenoalkanes are insoluble in water but soluble in organic solvents. Ethanol acts as a mutual solvent to allow the halogenoalkanes and the aqueous silver nitrate to mix and react in a single phase.

(c) Relative rates (fastest to slowest): 1-iodobutane > 1-bromobutane > 1-chlorobutane.
- 1-iodobutane forms a yellow precipitate.
- 1-bromobutane forms a cream precipitate.
- 1-chlorobutane forms a white precipitate.

(d) The rate of hydrolysis depends on the strength of the carbon-halogen (\(\text{C}-\text{X}\)) bond, not its polarity.
- Down Group 7, the halogen atoms increase in size, resulting in longer and weaker carbon-halogen bonds (lower bond enthalpies).
- The \(\text{C}-\text{I}\) bond is the weakest and easiest to break, so 1-iodobutane hydrolyses fastest.
- The \(\text{C}-\text{Cl}\) bond is the strongest and hardest to break, so 1-chlorobutane hydrolyses slowest.

(e) The rate of reaction would increase significantly.
2-bromo-2-methylpropane is a tertiary halogenoalkane, which hydrolyses via the \(\text{S}_\text{N}1\) mechanism involving the rapid formation of a stable tertiary carbocation intermediate. 1-bromobutane is a primary halogenoalkane and hydrolyses via the much slower \(\text{S}_\text{N}2\) pathway.

PastPaper.markingScheme

- Part (a): [3 marks]
- 1 mark for aqueous silver nitrate.
- 1 mark for ethanol.
- 1 mark for heating/warming in a water bath.
- Part (b): [1 mark]
- 1 mark for stating ethanol acts as a mutual solvent / allows reactants to dissolve and mix.
- Part (c): [3 marks]
- 1 mark for correct order of reaction rate.
- 1 mark for yellow ppt (1-iodobutane) and white ppt (1-chlorobutane).
- 1 mark for cream ppt (1-bromobutane).
- Part (d): [3 marks]
- 1 mark for stating that carbon-halogen bond strength/enthalpy (not polarity) determines the rate.
- 1 mark for stating that bond strength decreases from \(\text{C}-\text{Cl}\) to \(\text{C}-\text{I}\).
- 1 mark for linking weaker bond to lower activation energy / faster rate.
- Part (e): [2.5 marks]
- 1 mark for stating the rate increases.
- 1.5 marks for explaining that tertiary halogenoalkanes form stable tertiary carbocations / react via the \(\text{S}_\text{N}1\) mechanism.
PastPaper.question 3 · Practical Analysis & Stoichiometric Titrations
12.5 PastPaper.marks
A student designed a calorimetry experiment to determine the enthalpy change of neutralisation for the reaction between hydrochloric acid and sodium hydroxide.

50.0 cm\(^3\) of 1.00 mol dm\(^{-3}\) hydrochloric acid, \(\text{HCl}(aq)\), was placed in a polystyrene cup. The temperature of the acid was recorded every minute for 3 minutes. At the 4th minute, 50.0 cm\(^3\) of 1.05 mol dm\(^{-3}\) sodium hydroxide, \(\text{NaOH}(aq)\), at the same temperature, was added and the mixture stirred. The temperature of the mixture was then recorded every minute from 5 to 10 minutes.

A graph of temperature against time was plotted. Extrapolation of the temperature lines to the time of mixing (4 minutes) gave a temperature rise, \(\Delta T\), of 6.8 °C.

(a) State why the student used a slight excess of sodium hydroxide solution. [1 mark]

(b) Explain why the temperature is recorded at regular intervals and extrapolated to the 4th minute, rather than simply measuring the maximum temperature reached. [2 marks]

(c) Calculate the heat energy released, \(q\), in joules. Assume the density of the mixture is 1.00 g cm\(^{-3}\) and its specific heat capacity is 4.18 J g\(^{-1}\) K\(^{-1}\). [2 marks]

(d) Calculate the enthalpy change of neutralisation, \(\Delta H_{\text{neut}}\), in kJ mol\(^{-1}\), for this reaction. Give your answer to 3 significant figures and include a sign. [3.5 marks]

(e) Suggest two systematic errors that could occur in this experiment and state how each could be minimised. [3 marks]

(f) Explain why the experimental value of \(\Delta H_{\text{neut}}\) obtained when ethanoic acid is neutralised by sodium hydroxide is less exothermic than that obtained with hydrochloric acid. [1 mark]
PastPaper.showAnswers

PastPaper.workedSolution

(a) To ensure that all of the hydrochloric acid is completely neutralised, making the acid the limiting reactant.

(b) Heat is lost to the surroundings during and after the reaction before the maximum temperature is reached. Extrapolation to the time of mixing corrects for this heat loss by estimating the temperature rise that would have occurred if the reaction had been instantaneous.

(c) Total volume of reaction mixture = \(50.0 + 50.0 = 100.0 \text{ cm}^3\)
Mass of mixture (\(m\)) = \(100.0 \text{ g}\)
\(q = m c \Delta T = 100.0 \text{ g} \times 4.18 \text{ J g}^{-1} \text{ K}^{-1} \times 6.8 \text{ K} = 2842.4 \text{ J}\)

(d)
- Moles of \(\text{HCl}\) used = \(\frac{50.0}{1000} \text{ dm}^3 \times 1.00 \text{ mol dm}^{-3} = 0.0500 \text{ mol}\)
- Moles of \(\text{NaOH}\) used = \(\frac{50.0}{1000} \text{ dm}^3 \times 1.05 \text{ mol dm}^{-3} = 0.0525 \text{ mol}\)
- Since \(\text{HCl}\) is the limiting reactant, the moles of water formed = 0.0500 mol.
- \(\Delta H_{\text{neut}} = -\frac{q}{\text{moles of } \text{H}_2\text{O} \text{ formed}} = -\frac{2.8424 \text{ kJ}}{0.0500 \text{ mol}} = -56.848 \text{ kJ mol}^{-1} \approx -56.8 \text{ kJ mol}^{-1}\)

(e)
- Error 1: Heat loss to the surroundings. Minimised by placing a lid on the cup, using a double polystyrene cup, or wrapping the cup in cotton wool/insulation.
- Error 2: Heat capacity of the calorimeter (polystyrene cup and thermometer) is ignored. Minimised by calibrating the calorimeter or using a bomb calorimeter.

(f) Ethanoic acid is a weak acid and is only partially dissociated in solution. Energy is required/absorbed to dissociate the undissociated ethanoic acid molecules into ions before they can react, reducing the overall heat released.

PastPaper.markingScheme

- Part (a): [1 mark]
- 1 mark for stating that it ensures all acid is neutralised / acid is limiting.
- Part (b): [2 marks]
- 1 mark for identifying heat loss to the surroundings.
- 1 mark for explaining that extrapolation estimates temperature change if reaction was instantaneous / corrects for heat loss.
- Part (c): [2 marks]
- 1 mark for mass = 100 g.
- 1 mark for \(q = 2842.4\) J.
- Part (d): [3.5 marks]
- 1 mark for identifying limiting reactant moles of water formed = 0.0500 mol.
- 1 mark for dividing \(q\) by moles.
- 1.5 marks for correct final value of \(-56.8\) kJ mol\(^{-1}\) (must include the negative sign and be to 3 s.f.).
- Part (e): [3 marks]
- 1.5 marks for Error 1 and its minimisation.
- 1.5 marks for Error 2 and its minimisation.
- Part (f): [1 mark]
- 1 mark for explaining that energy is absorbed to dissociate the weak acid.
PastPaper.question 4 · Practical Analysis & Stoichiometric Titrations
12.5 PastPaper.marks
A solid mixture contains two salts, Compound X and Compound Y. A student carries out a series of qualitative tests to identify the ions present in this mixture.

- Test 1: The solid mixture is dissolved in distilled water. Dilute nitric acid is added, followed by aqueous silver nitrate. A cream precipitate is observed, which does not dissolve in dilute aqueous ammonia but dissolves completely in concentrated aqueous ammonia.
- Test 2: Dilute sulfuric acid is added to a fresh portion of the aqueous mixture solution. A thick white precipitate is formed.
- Test 3: A portion of the solid mixture is warmed with aqueous sodium hydroxide. A gas is evolved that turns damp red litmus paper blue.
- Test 4: A flame test is performed on the solid mixture, producing a brick-red flame.

(a) Identify the anion confirmed in Test 1 and explain the role of dilute nitric acid in this test. [3 marks]

(b) Identify the two cations present in the mixture, justifying your answers using the results from Tests 2, 3, and 4. [5 marks]

(c) Write the ionic equation, including state symbols, for the reaction that forms the white precipitate in Test 2. [2.5 marks]

(d) Suggest a chemical test (other than using litmus paper) that can be used to confirm the identity of the gas evolved in Test 3. Describe the expected observation. [2 marks]
PastPaper.showAnswers

PastPaper.workedSolution

(a)
- Anion: Bromide ion, \(\text{Br}^-\).
- Explanation: The cream precipitate is silver bromide (\(\text{AgBr}\)), which dissolves only in concentrated ammonia.
- Role of nitric acid: It reacts with and removes any carbonate (\(\text{CO}_3^{2-}\)) or sulfite (\(\text{SO}_3^{2-}\)) impurities that would otherwise form precipitates with silver nitrate, preventing false positives.

(b)
- Cation 1: Calcium ion, \(\text{Ca}^{2+}\).
- Justification: Test 4 gives a brick-red flame test, and Test 2 produces a white precipitate of calcium sulfate (\(\text{CaSO}_4\)) with dilute sulfuric acid.
- Cation 2: Ammonium ion, \(\text{NH}_4^+\).
- Justification: Test 3 produces an alkaline gas (ammonia, \(\text{NH}_3\)) when warmed with sodium hydroxide, which turns damp red litmus paper blue.

(c) \(\text{Ca}^{2+}(aq) + \text{SO}_4^{2-}(aq) \rightarrow \text{CaSO}_4(s)\)

(d)
- Test: Hold a glass rod dipped in concentrated hydrochloric acid (\(\text{HCl}(aq)\)) near the gas.
- Observation: Dense white fumes/smoke of ammonium chloride (\(\text{NH}_4\text{Cl}\)) are formed.

PastPaper.markingScheme

- Part (a): [3 marks]
- 1 mark for identifying bromide (\(\text{Br}^-\)).
- 1 mark for justifying with cream precipitate and its solubility in concentrated ammonia.
- 1 mark for stating that nitric acid reacts with and removes carbonate/sulfite impurities.
- Part (b): [5 marks]
- 1 mark for identifying \(\text{Ca}^{2+}\).
- 1 mark for linking \(\text{Ca}^{2+}\) to the brick-red flame.
- 1 mark for linking \(\text{Ca}^{2+}\) to the white precipitate with sulfuric acid.
- 1 mark for identifying \(\text{NH}_4^+\).
- 1 mark for linking \(\text{NH}_4^+\) to the alkaline gas evolved with sodium hydroxide.
- Part (c): [2.5 marks]
- 1.5 marks for correct formula of reactants and products.
- 1 mark for correct state symbols: \((aq)\) for ions, \((s)\) for calcium sulfate.
- Part (d): [2 marks]
- 1 mark for reagent (concentrated hydrochloric acid / hydrogen chloride gas).
- 1 mark for correct observation (dense white fumes).

Unit 4: Section A

Answer all multiple-choice physical chemistry questions.
20 PastPaper.question · 20 PastPaper.marks
PastPaper.question 1 · Multiple Choice
1 PastPaper.marks
The rate equation for the reaction between peroxodisulfate(VI) ions and iodide ions is:

$$\text{rate} = k[\text{S}_2\text{O}_8^{2-}][\text{I}^-]$$

Which of the following changes will increase the value of the rate constant, \(k\)?
  1. A.Increasing the concentration of \(\text{I}^-\right) ions.
  2. B.Adding a catalyst to the reaction mixture.
  3. C.Increasing the concentration of \(\text{S}_2\text{O}_8^{2-}\) ions.
  4. D.Carrying out the reaction in a flask with a larger volume.
PastPaper.showAnswers

PastPaper.workedSolution

The rate constant \(k\) is temperature-dependent and is affected by the addition of a catalyst, which provides an alternative pathway with a lower activation energy, thus increasing \(k\). It is independent of the concentrations of the reactants or the volume of the reaction vessel.

PastPaper.markingScheme

[1 mark] B is the correct answer.
- Reject A and C because changing reactant concentrations changes the rate of reaction but not the rate constant.
- Reject D because changing the volume changes concentration but not the rate constant.
PastPaper.question 2 · Multiple Choice
1 PastPaper.marks
For a certain reaction, \(\Delta H^{\ominus} = -114.4\text{ kJ mol}^{-1}\) at a temperature of \(25\text{ }^{\circ}\text{C}\).

What is the standard entropy change of the surroundings, \(\Delta S_{\text{surroundings}}^{\ominus}\), at this temperature?
  1. A.\(-384\text{ J K}^{-1}\text{ mol}^{-1}\)
  2. B.\(-0.384\text{ J K}^{-1}\text{ mol}^{-1}\)
  3. C.\(+384\text{ J K}^{-1}\text{ mol}^{-1}\)
  4. D.\(+0.384\text{ J K}^{-1}\text{ mol}^{-1}\)
PastPaper.showAnswers

PastPaper.workedSolution

Use the equation:
$$\Delta S_{\text{surroundings}}^{\ominus} = -\frac{\Delta H^{\ominus}}{T}$$

Convert temperature to Kelvin:
$$T = 25 + 273 = 298\text{ K}$$

Convert enthalpy change to \(\text{J mol}^{-1}\):
$$\Delta H^{\ominus} = -114.4 \times 10^3\text{ J mol}^{-1} = -114400\text{ J mol}^{-1}$$

Calculate entropy change:
$$\Delta S_{\text{surroundings}}^{\ominus} = -\frac{-114400}{298} = +383.89\text{ J K}^{-1}\text{ mol}^{-1} \approx +384\text{ J K}^{-1}\text{ mol}^{-1}$$

PastPaper.markingScheme

[1 mark] C is the correct answer.
- Award [1] for calculating \(\approx +384\text{ J K}^{-1}\text{ mol}^{-1}\).
- Reject A (incorrect sign).
- Reject B and D (incorrect unit conversion, left in \(\text{kJ K}^{-1}\text{ mol}^{-1}\)).
PastPaper.question 3 · Multiple Choice
1 PastPaper.marks
The following equilibrium is established at temperature \(T\):

$$2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g})$$

At equilibrium in a closed vessel of fixed volume, the mole fractions of the gases are:
\(\chi(\text{SO}_2) = 0.20\), \(\chi(\text{O}_2) = 0.30\), \(\chi(\text{SO}_3) = 0.50\).
The total pressure of the system is \(2.0\text{ atm}\).

What is the value of the equilibrium constant, \(K_p\), in \(\text{atm}^{-1}\)?
  1. A.\(2.08\)
  2. B.\(4.17\)
  3. C.\(10.4\)
  4. D.\(20.8\)
PastPaper.showAnswers

PastPaper.workedSolution

First, calculate the equilibrium partial pressures of each gas:
$$p(\text{SO}_2) = 0.20 \times 2.0 = 0.40\text{ atm}$$
$$p(\text{O}_2) = 0.30 \times 2.0 = 0.60\text{ atm}$$
$$p(\text{SO}_3) = 0.50 \times 2.0 = 1.00\text{ atm}$$

Next, write the expression for \(K_p\):
$$K_p = \frac{p(\text{SO}_3)^2}{p(\text{SO}_2)^2 \times p(\text{O}_2)}$$

Substitute the partial pressures into the expression:
$$K_p = \frac{(1.00)^2}{(0.40)^2 \times (0.60)} = \frac{1.00}{0.16 \times 0.60} = \frac{1.00}{0.096} \approx 10.4\text{ atm}^{-1}$$

This corresponds to Option C.

PastPaper.markingScheme

[1 mark] C is the correct answer.
- Award [1] for calculating \(10.4\).
- Reject A (calculated as \(\frac{0.50^2}{0.20^2 \times 0.30}\) without multiplying by total pressure).
- Reject B (incorrect math or incorrect power dependence).
- Reject D (incorrectly multiplying the final answer by total pressure).
PastPaper.question 4 · Multiple Choice
1 PastPaper.marks
A weak monobasic acid, \(\text{HA}\), has a \(\text{p}K_a\) of \(4.82\) at \(298\text{ K}\).

What is the \(\text{pH}\) of a \(0.050\text{ mol dm}^{-3}\) solution of \(\text{HA}\) at this temperature?
  1. A.\(2.41\)
  2. B.\(3.06\)
  3. C.\(4.82\)
  4. D.\(6.12\)
PastPaper.showAnswers

PastPaper.workedSolution

Calculate \(K_a\):
$$K_a = 10^{-\text{p}K_a} = 10^{-4.82} = 1.514 \times 10^{-5}\text{ mol dm}^{-3}$$

Using the weak acid approximation:
$$[\text{H}^+] \approx \sqrt{K_a \times [\text{HA}]}$$
$$[\text{H}^+] = \sqrt{(1.514 \times 10^{-5}) \times 0.050} = \sqrt{7.57 \times 10^{-7}} = 8.70 \times 10^{-4}\text{ mol dm}^{-3}$$

Calculate \(\text{pH}\):
$$\text{pH} = -\log_{10}[\text{H}^+] = -\log_{10}(8.70 \times 10^{-4}) \approx 3.06$$

PastPaper.markingScheme

[1 mark] B is the correct answer.
- Reject A (this is simply \(\frac{1}{2} \text{p}K_a\)).
- Reject C (this is the \(\text{p}K_a\) value itself).
- Reject D (calculated by adding \(0.65\) instead of subtracting).
PastPaper.question 5 · Multiple Choice
1 PastPaper.marks
The rate of reaction between two reactants, \(\text{X}\) and \(\text{Y}\), was studied. The following results were obtained:

- When the concentration of \(\text{X}\) was doubled, while keeping the concentration of \(\text{Y}\) constant, the rate of reaction quadrupled.
- When the concentration of \(\text{Y}\) was halved, while keeping the concentration of \(\text{X}\) constant, the rate of reaction decreased by a factor of eight.

What is the overall order of the reaction?
  1. A.\(2\)
  2. B.\(3\)
  3. C.\(4\)
  4. D.\(5\)
PastPaper.showAnswers

PastPaper.workedSolution

Determine individual reactant orders:
1. Since doubling \([\text{X}]\) causes the rate to quadruple (\(2^2 = 4\)), the order with respect to \(\text{X}\) is \(2\).
2. Since halving \([\text{Y}]\) causes the rate to decrease by a factor of eight (\((0.5)^3 = 0.125\)), the order with respect to \(\text{Y}\) is \(3\).

Calculate the overall order of reaction:
$$\text{Overall order} = 2 + 3 = 5$$

PastPaper.markingScheme

[1 mark] D is the correct answer.
- Reject A because this assumes first order with respect to both reactants.
- Reject B because this assumes order of 1 for \(\text{X}\) and 2 for \(\text{Y}\).
- Reject C because this assumes order of 2 for both reactants.
PastPaper.question 6 · Multiple Choice
1 PastPaper.marks
For the decomposition of calcium carbonate:

$$\text{CaCO}_3(\text{s}) \rightarrow \text{CaO}(\text{s}) + \text{CO}_2(\text{g})$$

The standard enthalpy change, \(\Delta H^{\ominus}\), is \(+178\text{ kJ mol}^{-1}\) and the standard entropy change of the system, \(\Delta S_{\text{system}}^{\ominus}\), is \(+160\text{ J K}^{-1}\text{ mol}^{-1}\).

Assuming these values do not change with temperature, above what temperature does this reaction become thermodynamically feasible?
  1. A.\(111\text{ K}\)
  2. B.\(288\text{ K}\)
  3. C.\(1113\text{ K}\)
  4. D.\(2848\text{ K}\)
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PastPaper.workedSolution

A reaction is thermodynamically feasible when the standard Gibbs free energy change is negative:
$$\Delta G^{\ominus} < 0$$
$$\Delta H^{\ominus} - T\Delta S_{\text{system}}^{\ominus} < 0$$
$$T > \frac{\Delta H^{\ominus}}{\Delta S_{\text{system}}^{\ominus}}$$

Convert \(\Delta H^{\ominus}\) to \(\text{J mol}^{-1}\):
$$\Delta H^{\ominus} = 178 \times 10^3\text{ J mol}^{-1}$$

Substitute the values:
$$T > \frac{178000}{160} = 1112.5\text{ K}$$

Therefore, the reaction becomes feasible above \(1113\text{ K}\).

PastPaper.markingScheme

[1 mark] C is the correct answer.
- Award [1] for calculating \(1113\text{ K}\).
- Reject A (incorrect calculation by not converting kJ to J).
- Reject B or D (incorrect mathematical operations).
PastPaper.question 7 · Multiple Choice
1 PastPaper.marks
The industrial synthesis of methanol is represented by the equilibrium:

$$\text{CO}(\text{g}) + 2\text{H}_2(\text{g}) \rightleftharpoons \text{CH}_3\text{OH}(\text{g}) \quad \Delta H^{\ominus} = -91\text{ kJ mol}^{-1}$$

Which of the following statements correctly describes the effect of increasing the temperature of this reaction at constant pressure?
  1. A.The rate of the forward reaction decreases, and the value of \(K_c\) increases.
  2. B.The rate of both the forward and reverse reactions increases, and the value of \(K_c\) decreases.
  3. C.The position of equilibrium shifts to the right, and the value of \(K_c\) increases.
  4. D.The position of equilibrium shifts to the left, and the value of \(K_c\) remains constant.
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PastPaper.workedSolution

Increasing the temperature increases the kinetic energy of the particles, leading to more frequent and successful collisions, thereby increasing the rate of both the forward and reverse reactions. Because the forward reaction is exothermic, according to Le Chatelier's principle, an increase in temperature shifts the equilibrium position to the left (the endothermic direction). As the equilibrium shifts to the left, the concentration of the product decreases while the concentrations of reactants increase, which causes the value of the equilibrium constant \(K_c\) to decrease.

PastPaper.markingScheme

[1 mark] B is the correct answer.
- Reject A because increasing the temperature always increases the rate of reactions.
- Reject C because the equilibrium shifts to the left for an exothermic reaction, decreasing \(K_c\).
- Reject D because \(K_c\) changes with temperature.
PastPaper.question 8 · Multiple Choice
1 PastPaper.marks
Four different aqueous solutions, each of concentration \(0.10\text{ mol dm}^{-3}\), are tested with a pH meter at \(298\text{ K}\).

Which of the following lists the solutions in order of increasing \(\text{pH}\) (from lowest \(\text{pH}\) to highest \(\text{pH}\))?
  1. A.\(\text{HCl(aq)} < \text{CH}_3\text{COOH(aq)} < \text{CH}_3\text{COONa(aq)} < \text{NH}_3\text{(aq)}\)
  2. B.\(\text{CH}_3\text{COOH(aq)} < \text{HCl(aq)} < \text{NH}_3\text{(aq)} < \text{CH}_3\text{COONa(aq)}\)
  3. C.\(\text{HCl(aq)} < \text{CH}_3\text{COOH(aq)} < \text{NH}_3\text{(aq)} < \text{CH}_3\text{COONa(aq)}\)
  4. D.\(\text{CH}_3\text{COOH(aq)} < \text{HCl(aq)} < \text{CH}_3\text{COONa(aq)} < \text{NH}_3\text{(aq)}\)
PastPaper.showAnswers

PastPaper.workedSolution

Let's determine the relative \(\text{pH}\) values of each solution at \(0.10\text{ mol dm}^{-3}\):

1. \(\text{HCl(aq)}\): Strong acid. It fully dissociates to release a high concentration of \(\text{H}^+\), so \(\text{pH} = -\log_{10}(0.10) = 1.0\). (Lowest pH)
2. \(\text{CH}_3\text{COOH(aq)}\): Weak acid. It only partially dissociates, so \([\text{H}^+] < 0.10\text{ mol dm}^{-3}\), resulting in a moderately low pH (around 2.9).
3. \(\text{CH}_3\text{COONa(aq)}\): Salt of a weak acid and a strong base. The acetate ion acts as a weak conjugate base and undergoes hydrolysis with water:
$$\text{CH}_3\text{COO}^-(\text{aq}) + \text{H}_2\text{O}(\text{l}) \rightleftharpoons \text{CH}_3\text{COOH}(\text{aq}) + \text{OH}^-(\text{aq})$$
This produces a weakly alkaline solution (pH around 8.9).
4. \(\text{NH}_3\text{(aq)}\): Weak base. It reacts with water to produce hydroxide ions:
$$\text{NH}_3(\text{aq}) + \text{H}_2\text{O}(\text{l}) \rightleftharpoons \text{NH}_4^+(\text{aq}) + \text{OH}^-(\text{aq})$$
At \(0.10\text{ mol dm}^{-3}\), this produces a higher concentration of \(\text{OH}^-\right) than acetate salt hydrolysis, resulting in a higher pH (around 11.1). (Highest pH)

Therefore, the correct increasing order of \)\text{pH}\) is:
$$\text{HCl(aq)} < \text{CH}_3\text{COOH(aq)} < \text{CH}_3\text{COONa(aq)} < \text{NH}_3\text{(aq)}$$

PastPaper.markingScheme

[1 mark] A is the correct answer.
- Reject B, C, and D because they put weak acid before strong acid, or mistake the weak base as less basic than the salt.
PastPaper.question 9 · Multiple Choice
1 PastPaper.marks
Consider the reaction: \(2\text{A(aq)} + \text{B(aq)} \rightarrow \text{C(aq)}\). The following initial rates were obtained at a constant temperature:
- Run 1: \([\text{A}] = 0.10 \text{ mol dm}^{-3}\), \([\text{B}] = 0.10 \text{ mol dm}^{-3}\), Initial Rate = \(1.2 \times 10^{-3} \text{ mol dm}^{-3} \text{ s}^{-1}\)
- Run 2: \([\text{A}] = 0.20 \text{ mol dm}^{-3}\), \([\text{B}] = 0.10 \text{ mol dm}^{-3}\), Initial Rate = \(4.8 \times 10^{-3} \text{ mol dm}^{-3} \text{ s}^{-1}\)
- Run 3: \([\text{A}] = 0.20 \text{ mol dm}^{-3}\), \([\text{B}] = 0.20 \text{ mol dm}^{-3}\), Initial Rate = \(9.6 \times 10^{-3} \text{ mol dm}^{-3} \text{ s}^{-1}\)
What is the overall order of the reaction and the units of the rate constant, \(k\)?
  1. A.Overall order = 2, Units of \(k\) = \(\text{dm}^3 \text{ mol}^{-1} \text{ s}^{-1}\)
  2. B.Overall order = 3, Units of \(k\) = \(\text{dm}^6 \text{ mol}^{-2} \text{ s}^{-1}\)
  3. C.Overall order = 3, Units of \(k\) = \(\text{dm}^3 \text{ mol}^{-1} \text{ s}^{-1}\)
  4. D.Overall order = 4, Units of \(k\) = \(\text{dm}^9 \text{ mol}^{-3} \text{ s}^{-1}\)
PastPaper.showAnswers

PastPaper.workedSolution

From Run 1 to Run 2, [A] doubles while [B] is constant, and the rate increases by a factor of 4 (from \(1.2 \times 10^{-3}\) to \(4.8 \times 10^{-3}\)). Therefore, the reaction is second order with respect to A.
From Run 2 to Run 3, [B] doubles while [A] is constant, and the rate increases by a factor of 2 (from \(4.8 \times 10^{-3}\) to \(9.6 \times 10^{-3}\)). Therefore, the reaction is first order with respect to B.
The overall order is \(2 + 1 = 3\).
The rate equation is: \(\text{Rate} = k[\text{A}]^2[\text{B}]\).
Units of \(k = \frac{\text{Rate}}{[\text{A}]^2[\text{B}]} = \frac{\text{mol dm}^{-3} \text{ s}^{-1}}{(\text{mol dm}^{-3})^3} = \text{dm}^6 \text{ mol}^{-2} \text{ s}^{-1}\).

PastPaper.markingScheme

[1] B - Overall order = 3, Units of \(k\) = \text{dm}^6 \text{ mol}^{-2} \text{ s}^{-1}.
PastPaper.question 10 · Multiple Choice
1 PastPaper.marks
A plot of \(\ln(k)\) against \(\frac{1}{T}\) (where \(T\) is temperature in Kelvin) for a particular reaction gives a straight line with a gradient of \(-1.25 \times 10^4 \text{ K}\). What is the activation energy, \(E_a\), of this reaction? (Gas constant, \(R = 8.31 \text{ J K}^{-1} \text{ mol}^{-1}\))
  1. A.\(+104 \text{ kJ mol}^{-1}\)
  2. B.\(-104 \text{ kJ mol}^{-1}\)
  3. C.\(+1.50 \text{ kJ mol}^{-1}\)
  4. D.\(+104 \times 10^3 \text{ kJ mol}^{-1}\)
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PastPaper.workedSolution

According to the Arrhenius equation: \(\ln(k) = -\frac{E_a}{R} \cdot \frac{1}{T} + \ln(A)\).
The gradient of a plot of \(\ln(k)\) against \(\frac{1}{T}\) is equal to \(-\frac{E_a}{R}\).
\(\text{gradient} = -\frac{E_a}{R} = -1.25 \times 10^4 \text{ K}\).
\(E_a = 1.25 \times 10^4 \times 8.31 = 103875 \text{ J mol}^{-1} = +104 \text{ kJ mol}^{-1}\).

PastPaper.markingScheme

[1] A - +104 \text{ kJ mol}^{-1}.
PastPaper.question 11 · Multiple Choice
1 PastPaper.marks
Consider the reaction for the Haber process: \(\text{N}_2\text{(g)} + 3\text{H}_2\text{(g)} \rightarrow 2\text{NH}_3\text{(g)}\).
Using the standard entropy values below, what is the standard entropy change of the system, \(\Delta S^{\ominus}_{\text{system}}\), in \(\text{J K}^{-1} \text{ mol}^{-1}\)?
- \(S^{\ominus}[\text{N}_2\text{(g)}] = 191.6 \text{ J K}^{-1} \text{ mol}^{-1}\)
- \(S^{\ominus}[\text{H}_2\text{(g)}] = 130.6 \text{ J K}^{-1} \text{ mol}^{-1}\)
- \(S^{\ominus}[\text{NH}_3\text{(g)}] = 192.3 \text{ J K}^{-1} \text{ mol}^{-1}\)
  1. A.\(-129.9 \text{ J K}^{-1} \text{ mol}^{-1}\)
  2. B.\(-198.8 \text{ J K}^{-1} \text{ mol}^{-1}\)
  3. C.\(+198.8 \text{ J K}^{-1} \text{ mol}^{-1}\)
  4. D.\(-383.4 \text{ J K}^{-1} \text{ mol}^{-1}\)
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PastPaper.workedSolution

The entropy change of the system is calculated as: \(\Delta S^{\ominus}_{\text{system}} = \sum S^{\ominus}_{\text{products}} - \sum S^{\ominus}_{\text{reactants}}\).
\(\Delta S^{\ominus}_{\text{system}} = (2 \times S^{\ominus}[\text{NH}_3\text{(g)}]) - (S^{\ominus}[\text{N}_2\text{(g)}] + 3 \times S^{\ominus}[\text{H}_2\text{(g)}])\).
\(\Delta S^{\ominus}_{\text{system}} = (2 \times 192.3) - (191.6 + 3 \times 130.6)\).
\(\Delta S^{\ominus}_{\text{system}} = 384.6 - (191.6 + 391.8) = 384.6 - 583.4 = -198.8 \text{ J K}^{-1} \text{ mol}^{-1}\).

PastPaper.markingScheme

[1] B - -198.8 \text{ J K}^{-1} \text{ mol}^{-1}.
PastPaper.question 12 · Multiple Choice
1 PastPaper.marks
For a chemical reaction, \(\Delta H^{\ominus} = -45.0 \text{ kJ mol}^{-1}\) and \(\Delta S^{\ominus}_{\text{system}} = -125 \text{ J K}^{-1} \text{ mol}^{-1}\). At what temperature does this reaction cease to be thermodynamically feasible?
  1. A.Above \(360 \text{ K}\)
  2. B.Below \(360 \text{ K}\)
  3. C.Above \(0.36 \text{ K}\)
  4. D.Below \(0.36 \text{ K}\)
PastPaper.showAnswers

PastPaper.workedSolution

A reaction is thermodynamically feasible when \(\Delta G^{\ominus} \le 0\).
\(\Delta G^{\ominus} = \Delta H^{\ominus} - T\Delta S^{\ominus}_{\text{system}}\).
Setting \(\Delta G^{\ominus} = 0\):
\(T = \frac{\Delta H^{\ominus}}{\Delta S^{\ominus}_{\text{system}}} = \frac{-45000 \text{ J mol}^{-1}}{-125 \text{ J K}^{-1} \text{ mol}^{-1}} = 360 \text{ K}\).
Since both \(\Delta H^{\ominus}\) and \(\Delta S^{\ominus}\) are negative, the reaction is feasible at lower temperatures (where the exothermic term dominates) and becomes non-feasible at higher temperatures where the entropy term \(-T\Delta S^{\ominus}\) becomes positive and larger in magnitude than \(\Delta H^{\ominus}\).
Therefore, the reaction ceases to be feasible above \(360 \text{ K}\).

PastPaper.markingScheme

[1] A - Above 360 K.
PastPaper.question 13 · Multiple Choice
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In an equilibrium mixture of three gases, \(\text{X}\), \(\text{Y}\), and \(\text{Z}\), the reaction is represented by: \(\text{X(g)} + 2\text{Y(g)} \rightleftharpoons 2\text{Z(g)}\).
At a certain temperature, the equilibrium partial pressures are:
- \(p(\text{X}) = 0.20 \text{ atm}\)
- \(p(\text{Y}) = 0.40 \text{ atm}\)
- \(p(\text{Z}) = 0.80 \text{ atm}\)
What is the numerical value of the equilibrium constant, \(K_p\), at this temperature, and its units?
  1. A.\(20 \text{ atm}^{-1}\)
  2. B.\(10 \text{ atm}^{-1}\)
  3. C.\(20 \text{ atm}\)
  4. D.\(0.05 \text{ atm}\)
PastPaper.showAnswers

PastPaper.workedSolution

The expression for the equilibrium constant is: \(K_p = \frac{p(\text{Z})^2}{p(\text{X}) \cdot p(\text{Y})^2}\).
Substituting the equilibrium partial pressures:
\(K_p = \frac{0.80^2}{0.20 \times 0.40^2} = \frac{0.64}{0.20 \times 0.16} = \frac{0.64}{0.032} = 20\).
The units of \(K_p\) are: \(\frac{\text{atm}^2}{\text{atm} \cdot \text{atm}^2} = \text{atm}^{-1}\).

PastPaper.markingScheme

[1] A - 20 atm^{-1}.
PastPaper.question 14 · Multiple Choice
1 PastPaper.marks
The gas-phase reaction below is endothermic: \(2\text{SO}_3\text{(g)} \rightleftharpoons 2\text{SO}_2\text{(g)} + \text{O}_2\text{(g)} \quad \Delta H > 0\).
If the temperature of the system is increased at constant volume, what happens to the value of the equilibrium constant, \(K_c\), and the yield of \(\text{O}_2\text{(g)}\)?
  1. A.\(K_c\) increases, yield of \(\text{O}_2\) increases
  2. B.\(K_c\) decreases, yield of \(\text{O}_2\) decreases
  3. C.\(K_c\) stays constant, yield of \(\text{O}_2\) increases
  4. D.\(K_c\) increases, yield of \(\text{O}_2\) decreases
PastPaper.showAnswers

PastPaper.workedSolution

Since the forward reaction is endothermic (\(\Delta H > 0\)), according to Le Chatelier's principle, an increase in temperature shifts the equilibrium position to the right (the endothermic direction) to absorb the added thermal energy. This increases the concentration of products (\(\text{SO}_2\) and \(\text{O}_2\)) and decreases the concentration of reactants (\(\text{SO}_3\)). Therefore, the equilibrium constant, \(K_c\), which is the ratio of product concentrations to reactant concentrations, must increase, and the yield of \(\text{O}_2\) also increases.

PastPaper.markingScheme

[1] A - K_c increases, yield of O_2 increases.
PastPaper.question 15 · Multiple Choice
1 PastPaper.marks
A solution of a weak monoprotic acid, \(\text{HA}\), has a concentration of \(0.050 \text{ mol dm}^{-3}\). The acid dissociation constant, \(K_a\), of \(\text{HA}\) is \(1.8 \times 10^{-5} \text{ mol dm}^{-3}\) at \(298 \text{ K}\). What is the pH of this solution at \(298 \text{ K}\)?
  1. A.\(3.02\)
  2. B.\(2.04\)
  3. C.\(4.74\)
  4. D.\(1.30\)
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PastPaper.workedSolution

For a weak monoprotic acid, we can use the approximation:
\([\text{H}^+] = \sqrt{K_a \times [\text{HA}]}\).
\([\text{H}^+] = \sqrt{1.8 \times 10^{-5} \times 0.050} = \sqrt{9.0 \times 10^{-7}} = 9.49 \times 10^{-4} \text{ mol dm}^{-3}\).
\(\text{pH} = -\log_{10}[\text{H}^+] = -\log_{10}(9.49 \times 10^{-4}) = 3.02\).

PastPaper.markingScheme

[1] A - 3.02.
PastPaper.question 16 · Multiple Choice
1 PastPaper.marks
A buffer solution is prepared by mixing \(50.0 \text{ cm}^3\) of \(0.100 \text{ mol dm}^{-3}\) propanoic acid (\(K_a = 1.30 \times 10^{-5} \text{ mol dm}^{-3}\)) with \(50.0 \text{ cm}^3\) of \(0.050 \text{ mol dm}^{-3}\) sodium propanoate solution. What is the pH of the resulting buffer solution?
  1. A.\(4.59\)
  2. B.\(4.89\)
  3. C.\(5.19\)
  4. D.\(3.59\)
PastPaper.showAnswers

PastPaper.workedSolution

Using the Henderson-Hasselbalch equation:
\(\text{pH} = \text{p}K_a + \log_{10}\left(\frac{[\text{A}^-]}{[\text{HA}]}\right)\).
First, calculate the moles of propanoic acid (HA) and propanoate ions (\(\text{A}^-\)):
\(n(\text{HA}) = 0.0500 \text{ dm}^3 \times 0.100 \text{ mol dm}^{-3} = 0.0050 \text{ mol}\).
\(n(\text{A}^-) = 0.0500 \text{ dm}^3 \times 0.050 \text{ mol dm}^{-3} = 0.0025 \text{ mol}\).
Now, calculate \(\text{p}K_a\):
\(\text{p}K_a = -\log_{10}(1.30 \times 10^{-5}) = 4.89\).
Substitute the values into the equation:
\(\text{pH} = 4.89 + \log_{10}\left(\frac{0.0025}{0.0050}\right) = 4.89 + \log_{10}(0.5) = 4.89 - 0.30 = 4.59\).

PastPaper.markingScheme

[1] A - 4.59.
PastPaper.question 17 · Multiple Choice
1 PastPaper.marks
The reaction between nitrogen monoxide and hydrogen is represented by the equation: \[2\text{NO}(g) + 2\text{H}_2(g) \rightarrow \text{N}_2(g) + 2\text{H}_2\text{O}(g)\] The rate equation is: \[\text{rate} = k[\text{NO}]^2[\text{H}_2]\] In an experiment, the concentration of \(\text{NO}\) is doubled and the concentration of \(\text{H}_2\) is halved. By what factor does the initial rate of reaction change?
  1. A.It is unchanged
  2. B.It increases by a factor of 2
  3. C.It increases by a factor of 4
  4. D.It increases by a factor of 8
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PastPaper.workedSolution

Let the initial rate be \(\text{rate}_1 = k[\text{NO}]^2[\text{H}_2]\). When \([\text{NO}]\) is doubled to \(2[\text{NO}]\) and \([\text{H}_2]\) is halved to \(0.5[\text{H}_2]\), the new rate is: \[\text{rate}_2 = k(2[\text{NO}])^2(0.5[\text{H}_2]) = k \times 4[\text{NO}]^2 \times 0.5[\text{H}_2] = 2k[\text{NO}]^2[\text{H}_2] = 2\text{rate}_1\] Therefore, the rate increases by a factor of 2.

PastPaper.markingScheme

• B is the correct answer (1 mark). • A is incorrect because it assumes no overall change. • C is incorrect because it forgets to halve the rate due to hydrogen. • D is incorrect because it assumes both are doubled or incorrect application of the squared term.
PastPaper.question 18 · Multiple Choice
1 PastPaper.marks
For a reaction at \(298\text{ K}\), the standard enthalpy change is \(\Delta H^{\ominus} = -115\text{ kJ mol}^{-1}\) and the standard entropy change of the system is \(\Delta S_{\text{system}}^{\ominus} = -185\text{ J K}^{-1}\text{ mol}^{-1}\). What is the total entropy change, \(\Delta S_{\text{total}}^{\ominus}\), for this reaction at \(298\text{ K}\)?
  1. A.-571 J K^{-1} mol^{-1}
  2. B.-201 J K^{-1} mol^{-1}
  3. C.+201 J K^{-1} mol^{-1}
  4. D.+571 J K^{-1} mol^{-1}
PastPaper.showAnswers

PastPaper.workedSolution

First, calculate the entropy change of the surroundings: \[\Delta S_{\text{surroundings}}^{\ominus} = -\frac{\Delta H^{\ominus}}{T} = -\frac{-115 \times 10^3\text{ J mol}^{-1}}{298\text{ K}} = +385.9\text{ J K}^{-1}\text{ mol}^{-1}\] Next, calculate the total entropy change: \[\Delta S_{\text{total}}^{\ominus} = \Delta S_{\text{system}}^{\ominus} + \Delta S_{\text{surroundings}}^{\ominus} = -185 + 385.9 = +200.9\text{ J K}^{-1}\text{ mol}^{-1} \approx +201\text{ J K}^{-1}\text{ mol}^{-1}\]

PastPaper.markingScheme

• C is the correct answer (1 mark). • A is incorrect because it uses an incorrect sign for the surroundings entropy change. • B is incorrect because of an incorrect subtraction. • D is incorrect because of combining incorrect signs for both terms.
PastPaper.question 19 · Multiple Choice
1 PastPaper.marks
A buffer solution is prepared containing \(0.10\text{ mol dm}^{-3}\) of a weak acid, \(\text{HA}\), and \(0.20\text{ mol dm}^{-3}\) of its conjugate base, \(\text{A}^-\). The acid dissociation constant, \(K_a\), of \(\text{HA}\) is \(2.0 \times 10^{-5}\text{ mol dm}^{-3}\). What is the pH of this buffer solution?
  1. A.4.40
  2. B.4.70
  3. C.5.00
  4. D.5.40
PastPaper.showAnswers

PastPaper.workedSolution

The pH of a buffer solution can be calculated using: \[\text{pH} = \text{p}K_a + \log_{10}\left(\frac{[\text{A}^-]}{[\text{HA}]}\right)\] First, calculate \(\text{p}K_a\): \[\text{p}K_a = -\log_{10}(2.0 \times 10^{-5}) = 4.70\] Then, substitute the concentrations into the equation: \[\text{pH} = 4.70 + \log_{10}\left(\frac{0.20}{0.10}\right) = 4.70 + 0.30 = 5.00\]

PastPaper.markingScheme

• C is the correct answer (1 mark). • A is incorrect because the ratio was inverted in the calculation. • B is incorrect because it is the value of \(\text{p}K_a\) without applying the ratio correction. • D is incorrect because of an incorrect buffer formula.
PastPaper.question 20 · Multiple Choice
1 PastPaper.marks
Which carbonyl compound reacts with hydrogen cyanide, \(\text{HCN}\), to form a product that exists as a racemic mixture of optical isomers?
  1. A.Propanal
  2. B.Propanone
  3. C.Methanal
  4. D.Pentan-3-one
PastPaper.showAnswers

PastPaper.workedSolution

Nucleophilic addition of \(\text{CN}^-\) to a carbonyl group creates a chiral center if the resulting carbon is bonded to four different groups. Propanal (\(\text{CH}_3\text{CH}_2\text{CHO}\)) reacts to form 2-hydroxybutanenitrile, \(\text{CH}_3\text{CH}_2\text{CH(OH)CN}\). The central carbon has four different groups attached (\(-\text{H}\), \(-\text{OH}\), \(-\text{CN}\), \(-\text{CH}_2\text{CH}_3\)), making it chiral. Because the carbonyl group is planar, attack from above and below is equally likely, yielding a 50:50 racemic mixture. The other options yield products with at least two identical groups on the reaction center carbon and are therefore achiral.

PastPaper.markingScheme

• A is the correct answer (1 mark). • B, C and D are incorrect because their reaction products do not contain a chiral carbon atom, meaning they cannot exhibit optical isomerism.

Unit 4: Section B

Answer all structured physical chemistry questions.
5 PastPaper.question · 52 PastPaper.marks
PastPaper.question 1 · Structured
10.4 PastPaper.marks
The decomposition of dinitrogen pentoxide, \(2\text{N}_2\text{O}_5(\text{g}) \rightarrow 4\text{NO}_2(\text{g}) + \text{O}_2(\text{g})\), is a first-order reaction. The rate constant, \(k\), was measured at two different temperatures:
- At \(298\text{ K}\), \(k_1 = 3.46 \times 10^{-5}\text{ s}^{-1}\)
- At \(328\text{ K}\), \(k_2 = 1.50 \times 10^{-3}\text{ s}^{-1}\)

(a) Calculate the activation energy, \(E_a\), for this reaction in \(\text{kJ mol}^{-1}\). Show your working. Use the Arrhenius relationship:
\(\ln\left(\frac{k_2}{k_1}\right) = -\frac{E_a}{R}\left(\frac{1}{T_2} - \frac{1}{T_1}\right)\)
(Gas constant, \(R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}\)) [6 marks]

(b) Calculate the pre-exponential factor, \(A\), at \(298\text{ K}\), including its units. [4.4 marks]
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PastPaper.workedSolution

(a) Rearranging the Arrhenius expression:
\(E_a = \frac{R \ln(k_2 / k_1)}{(1/T_1 - 1/T_2)}\)

\(k_2 / k_1 = \frac{1.50 \times 10^{-3}}{3.46 \times 10^{-5}} = 43.353\)
\(\ln(43.353) = 3.7694\)

\((1/T_1 - 1/T_2) = \left(\frac{1}{298} - \frac{1}{328}\right) = 3.3557 \times 10^{-3} - 3.0488 \times 10^{-3} = 3.069 \times 10^{-4}\text{ K}^{-1}\)

\(E_a = \frac{8.31 \times 3.7694}{3.069 \times 10^{-4}} = 102061\text{ J mol}^{-1} = 102\text{ kJ mol}^{-1}\) (to 3 sig figs)

(b) Using \(\ln k = \ln A - \frac{E_a}{RT}\) at \(298\text{ K}\):
\(\ln A = \ln k + \frac{E_a}{RT}\)
\(\ln A = \ln(3.46 \times 10^{-5}) + \frac{102061}{8.31 \times 298}\)
\(\ln A = -10.272 + 41.214 = 30.942\)
\(A = e^{30.942} = 2.74 \times 10^{13}\)

Since the exponential term is dimensionless, the units of \(A\) are identical to the units of \(k\), which is \(\text{s}^{-1}\).

PastPaper.markingScheme

(a) [Total: 6 marks]
- 1 Mark: Correctly calculated ratio of rate constants (\(k_2/k_1 = 43.353\)) and its natural log (\(3.77\)).
- 1 Mark: Correct calculation of the difference in reciprocal temperature (\(3.07 \times 10^{-4}\text{ K}^{-1}\)).
- 1 Mark: Correct rearrangement of the Arrhenius equation to solve for \(E_a\).
- 1 Mark: Correct substitution of values including \(R = 8.31\).
- 1 Mark: Correct numerical value of \(E_a\) in Joules (\(102061\text{ J mol}^{-1}\)).
- 1 Mark: Correct final value of \(102\text{ kJ mol}^{-1}\) to 3 significant figures.

(b) [Total: 4.4 marks]
- 1 Mark: Correct formula rearrangement: \(\ln A = \ln k + E_a / RT\).
- 1 Mark: Correct substitution of values into formula.
- 1.4 Marks: Correct numerical answer of \(A\) in the range \(2.5 \times 10^{13}\) to \(3.0 \times 10^{13}\).
- 1 Mark: Correct units of \(\text{s}^{-1}\).
PastPaper.question 2 · Structured
10.4 PastPaper.marks
The equation for the thermal decomposition of calcium carbonate is:
\(\text{CaCO}_3(\text{s}) \rightarrow \text{CaO}(\text{s}) + \text{CO}_2(\text{g})\)

Standard thermodynamic data for the species involved are given below:
- \(\Delta_f H^\theta / \text{kJ mol}^{-1}\):
- \(\text{CaCO}_3(\text{s})\): \(-1207\)
- \(\text{CaO}(\text{s})\): \(-635\)
- \(\text{CO}_2(\text{g})\): \(-394\)
- \(S^\theta / \text{J K}^{-1}\text{ mol}^{-1}\):
- \(\text{CaCO}_3(\text{s})\): \(93\)
- \(\text{CaO}(\text{s})\): \(40\)
- \(\text{CO}_2(\text{g})\): \(214\)

(a) Calculate the standard enthalpy change, \(\Delta H^\theta\), for this reaction in \(\text{kJ mol}^{-1}\). [2 marks]
(b) Calculate the standard entropy change of the system, \(\Delta S^\theta_{\text{system}}\), for this reaction in \(\text{J K}^{-1}\text{ mol}^{-1}\). [2 marks]
(c) Calculate the standard entropy change of the surroundings, \(\Delta S^\theta_{\text{surroundings}}\), at \(298\text{ K}\) in \(\text{J K}^{-1}\text{ mol}^{-1}\). [2.4 marks]
(d) Calculate the total entropy change, \(\Delta S^\theta_{\text{total}}\), at \(298\text{ K}\). State, with a reason, whether the reaction is feasible at this temperature. [2 marks]
(e) Calculate the minimum temperature, in Kelvin, at which the reaction becomes feasible, assuming \(\Delta H^\theta\) and \(\Delta S^\theta_{\text{system}}\) do not change with temperature. [2 marks]
PastPaper.showAnswers

PastPaper.workedSolution

(a) \(\Delta H^\theta = \sum \Delta_f H^\theta(\text{products}) - \sum \Delta_f H^\theta(\text{reactants})\)
\(\Delta H^\theta = [(-635) + (-394)] - (-1207) = -1029 + 1207 = +178\text{ kJ mol}^{-1}\)

(b) \(\Delta S^\theta_{\text{system}} = \sum S^\theta(\text{products}) - \sum S^\theta(\text{reactants})\)
\(\Delta S^\theta_{\text{system}} = [40 + 214] - 93 = 254 - 93 = +161\text{ J K}^{-1}\text{ mol}^{-1}\)

(c) \(\Delta S^\theta_{\text{surroundings}} = -\frac{\Delta H^\theta}{T}\)
\(\Delta S^\theta_{\text{surroundings}} = -\frac{178 \times 10^3\text{ J mol}^{-1}}{298\text{ K}} = -597.3\text{ J K}^{-1}\text{ mol}^{-1}\)

(d) \(\Delta S^\theta_{\text{total}} = \Delta S^\theta_{\text{system}} + \Delta S^\theta_{\text{surroundings}}\)
\(\Delta S^\theta_{\text{total}} = +161 + (-597.3) = -436.3\text{ J K}^{-1}\text{ mol}^{-1}\)
Since \(\Delta S^\theta_{\text{total}}\) is negative, the reaction is not feasible at \(298\text{ K}\).

(e) At the threshold of feasibility, \(\Delta S^\theta_{\text{total}} = 0\), which means \(\Delta S^\theta_{\text{system}} = \frac{\Delta H^\theta}{T}\).
\(T = \frac{\Delta H^\theta}{\Delta S^\theta_{\text{system}}} = \frac{178000\text{ J mol}^{-1}}{161\text{ J K}^{-1}\text{ mol}^{-1}} = 1105.6\text{ K} \approx 1106\text{ K}\).

PastPaper.markingScheme

(a) [Total: 2 marks]
- 1 Mark: Correct substitution of standard values into the enthalpy summation formula.
- 1 Mark: Correct answer of \(+178\text{ kJ mol}^{-1}\) (must include positive sign).

(b) [Total: 2 marks]
- 1 Mark: Correct calculation of total standard entropy of products (\(254\)).
- 1 Mark: Correct answer of \(+161\text{ J K}^{-1}\text{ mol}^{-1}\).

(c) [Total: 2.4 marks]
- 1 Mark: Correct formula \(\Delta S_{\text{surr}} = -\Delta H / T\).
- 0.4 Mark: Multiplied enthalpy by \(1000\) to convert to Joules.
- 1 Mark: Correct numerical value of \(-597.3\text{ J K}^{-1}\text{ mol}^{-1}\) (accept \(-597\)).

(d) [Total: 2 marks]
- 1 Mark: Correct calculated total entropy change (\(-436.3\text{ J K}^{-1}\text{ mol}^{-1}\) or error carried forward from (b) and (c)).
- 1 Mark: Statement that the reaction is not feasible because the total entropy change is negative.

(e) [Total: 2 marks]
- 1 Mark: Use of relationship \(T = \Delta H^\theta / \Delta S^\theta_{\text{system}}\).
- 1 Mark: Final temperature of \(1106\text{ K}\) (accept range \(1100 - 1110\text{ K}\) depending on rounding).
PastPaper.question 3 · Structured
10.4 PastPaper.marks
At a certain temperature, nitrosyl chloride, \(\text{NOCl}\), dissociates according to the following equation:
\(2\text{NOCl}(\text{g}) \rightleftharpoons 2\text{NO}(\text{g}) + \text{Cl}_2(\text{g})\)

A sample of \(2.00\text{ mol}\) of \(\text{NOCl}\) was placed in a sealed vessel at a constant temperature and total pressure of \(2.50\text{ atm}\). At equilibrium, the mixture was found to contain \(0.65\text{ mol}\) of \(\text{Cl}_2\).

(a) Construct an ICE table (Initial, Change, Equilibrium) to find the equilibrium amounts, in moles, of all three gases. [3 marks]
(b) Calculate the mole fraction, \(x\), of each gas at equilibrium. [2 marks]
(c) Calculate the partial pressure of each gas at equilibrium. [2 marks]
(d) Write the expression for the equilibrium constant, \(K_p\), and calculate its value, stating its units. [3.4 marks]
PastPaper.showAnswers

PastPaper.workedSolution

(a) ICE Table:
- Reactant/Product: \(2\text{NOCl}\) \(\rightleftharpoons\) \(2\text{NO}\) + \(\text{Cl}_2\)
- Initial (mol): \(2.00\), \(0\), \(0\)
- Change (mol): \(-2y\), \(+2y\), \(+y\)
Since equilibrium \(n(\text{Cl}_2) = y = 0.65\text{ mol}\):
- Change in \(n(\text{NOCl}) = -2 \times 0.65 = -1.30\text{ mol}\)
- Change in \(n(\text{NO}) = +2 \times 0.65 = +1.30\text{ mol}\)
Equilibrium amounts:
- \(n(\text{NOCl}) = 2.00 - 1.30 = 0.70\text{ mol}\)
- \(n(\text{NO}) = 1.30\text{ mol}\)
- \(n(\text{Cl}_2) = 0.65\text{ mol}\)
Total equilibrium moles = \(0.70 + 1.30 + 0.65 = 2.65\text{ mol}\)

(b) Mole Fractions (\(x\)):
- \(x(\text{NOCl}) = \frac{0.70}{2.65} = 0.2642 \approx 0.264\)
- \(x(\text{NO}) = \frac{1.30}{2.65} = 0.4906 \approx 0.491\)
- \(x(\text{Cl}_2) = \frac{0.65}{2.65} = 0.2453 \approx 0.245\)

(c) Partial pressures (\(p = x \times P_{\text{total}}\)):
- \(p(\text{NOCl}) = 0.2642 \times 2.50\text{ atm} = 0.6605\text{ atm} \approx 0.661\text{ atm}\)
- \(p(\text{NO}) = 0.4906 \times 2.50\text{ atm} = 1.2265\text{ atm} \approx 1.227\text{ atm}\)
- \(p(\text{Cl}_2) = 0.2453 \times 2.50\text{ atm} = 0.6133\text{ atm} \approx 0.613\text{ atm}\)

(d) \(K_p\) expression:
\(K_p = \frac{p(\text{NO})^2 \cdot p(\text{Cl}_2)}{p(\text{NOCl})^2}\)

Calculation:
\(K_p = \frac{(1.2265)^2 \times 0.6133}{(0.6605)^2} = \frac{1.5043 \times 0.6133}{0.4363} = 2.115\text{ atm} \approx 2.12\text{ atm}\)
Units: \(\frac{\text{atm}^2 \cdot \text{atm}}{\text{atm}^2} = \text{atm}\).

PastPaper.markingScheme

(a) [Total: 3 marks]
- 1 Mark: Deduces change in moles of \(\text{NO}\) and \(\text{NOCl}\) based on stoichiometry (\(\pm 1.30\text{ mol}\)).
- 1 Mark: Calculates correct equilibrium moles for all species (\(\text{NOCl} = 0.70\), \(\text{NO} = 1.30\)).
- 1 Mark: Calculates correct total number of moles as \(2.65\text{ mol}\).

(b) [Total: 2 marks]
- 2 Marks: Calculated correct mole fractions (allow error-carried-forward from part (a)).

(c) [Total: 2 marks]
- 2 Marks: Calculates correct partial pressures by multiplying mole fractions by \(2.50\text{ atm}\).

(d) [Total: 3.4 marks]
- 1 Mark: Correct expression for \(K_p\).
- 1.4 Marks: Correct numerical value of \(2.11 - 2.12\).
- 1 Mark: Correct unit: \(\text{atm}\).
PastPaper.question 4 · Structured
10.4 PastPaper.marks
A buffer solution is prepared by mixing \(60.0\text{ cm}^3\) of \(0.150\text{ mol dm}^{-3}\) propanoic acid, \(\text{C}_2\text{H}_5\text{COOH}\), with \(40.0\text{ cm}^3\) of \(0.100\text{ mol dm}^{-3}\) sodium hydroxide, \(\text{NaOH}\).
The acid dissociation constant of propanoic acid, \(K_a\), is \(1.35 \times 10^{-5}\text{ mol dm}^{-3}\) at \(298\text{ K}\).

(a) Write an equation for the reaction that occurs when these two solutions are mixed. [1 mark]
(b) Calculate the initial number of moles of:
(i) propanoic acid, \(\text{C}_2\text{H}_5\text{COOH}\)
(ii) sodium hydroxide, \(\text{NaOH}\) [2 marks]
(c) State the equilibrium number of moles of:
(i) propanoic acid remaining in the buffer mixture
(ii) propanoate ions, \(\text{C}_2\text{H}_5\text{COO}^-\), formed [2 marks]
(d) Explain how this buffer solution controls pH when a small amount of acid (\(\text{H}^+\) ions) is added. Write an ionic equation to support your answer. [2.4 marks]
(e) Calculate the pH of the resulting buffer solution at \(298\text{ K}\), giving your answer to two decimal places. [3 marks]
PastPaper.showAnswers

PastPaper.workedSolution

(a) Equation:
\(\text{C}_2\text{H}_5\text{COOH} + \text{NaOH} \rightarrow \text{C}_2\text{H}_5\text{COONa} + \text{H}_2\text{O}\)
(Or: \(\text{C}_2\text{H}_5\text{COOH} + \text{OH}^- \rightarrow \text{C}_2\text{H}_5\text{COO}^- + \text{H}_2\text{O}\))

(b)
(i) Moles of \(\text{C}_2\text{H}_5\text{COOH} = 0.0600\text{ dm}^3 \times 0.150\text{ mol dm}^{-3} = 9.00 \times 10^{-3}\text{ mol}\)
(ii) Moles of \(\text{NaOH} = 0.0400\text{ dm}^3 \times 0.100\text{ mol dm}^{-3} = 4.00 \times 10^{-3}\text{ mol}\)

(c)
(i) Propanoic acid remaining = \(9.00 \times 10^{-3}\text{ mol} - 4.00 \times 10^{-3}\text{ mol} = 5.00 \times 10^{-3}\text{ mol}\)
(ii) Propanoate ions formed = \(4.00 \times 10^{-3}\text{ mol}\) (from neutralization of propanoic acid by hydroxide ions)

(d) When a small amount of acid is added, the large reservoir of propanoate conjugate base reacts with and removes the added \(\text{H}^+\) ions:
\(\text{C}_2\text{H}_5\text{COO}^- + \text{H}^+ \rightarrow \text{C}_2\text{H}_5\text{COOH}\)
Because the weak acid is poorly dissociated, the concentration of free \(\text{H}^+\) ions remains virtually unchanged, and hence the pH is controlled.

(e) pH Calculation:
Using \(K_a = \frac{[\text{H}^+][\text{C}_2\text{H}_5\text{COO}^-]}{[\text{C}_2\text{H}_5\text{COOH}]}\):
\([\text{H}^+] = K_a \times \frac{[\text{C}_2\text{H}_5\text{COOH}]}{[\text{C}_2\text{H}_5\text{COO}^-]}\)
Since both components are in the same total volume, the ratio of concentrations is equal to the ratio of moles:
\([\text{H}^+] = 1.35 \times 10^{-5} \times \frac{5.00 \times 10^{-3}}{4.00 \times 10^{-3}} = 1.6875 \times 10^{-5}\text{ mol dm}^{-3}\)
\(\text{pH} = -\log_{10}(1.6875 \times 10^{-5}) = 4.7727 \approx 4.77\)

PastPaper.markingScheme

(a) [Total: 1 mark]
- 1 Mark: Correct molecular or ionic equation.

(b) [Total: 2 marks]
- 1 Mark: Correct calculation of initial moles of acid (\(9.00 \times 10^{-3}\text{ mol}\)).
- 1 Mark: Correct calculation of initial moles of sodium hydroxide (\(4.00 \times 10^{-3}\text{ mol}\)).

(c) [Total: 2 marks]
- 1 Mark: Correct moles of propanoic acid remaining (\(5.00 \times 10^{-3}\text{ mol}\)).
- 1 Mark: Correct moles of propanoate conjugate base formed (\(4.00 \times 10^{-3}\text{ mol}\)).

(d) [Total: 2.4 marks]
- 1 Mark: Correct ionic equation: \(\text{C}_2\text{H}_5\text{COO}^- + \text{H}^+ \rightarrow \text{C}_2\text{H}_5\text{COOH}\).
- 1.4 Marks: Explanation that the large reservoir of propanoate conjugate base removes added acid, maintaining nearly constant pH.

(e) [Total: 3 marks]
- 1 Mark: Correct expression of \(K_a\) rearrangement or Henderson-Hasselbalch equation.
- 1 Mark: Correct substitution of values to calculate \([\text{H}^+] = 1.69 \times 10^{-5}\text{ mol dm}^{-3}\).
- 1 Mark: pH answer = \(4.77\) (must be given to 2 decimal places).
PastPaper.question 5 · Structured
10.4 PastPaper.marks
The initial rate of reaction between compound A and compound B was measured at various initial concentrations. The reaction is:
\(\text{A} + 2\text{B} \rightarrow \text{C} + \text{D}\)

The following experimental data were obtained:

| Experiment | Initial \([\text{A}] / \text{mol dm}^{-3}\) | Initial \([\text{B}] / \text{mol dm}^{-3}\) | Initial Rate / \(\text{mol dm}^{-3}\text{ s}^{-1}\) |
| :--- | :--- | :--- | :--- |
| 1 | 0.10 | 0.10 | \(2.40 \times 10^{-4}\) |
| 2 | 0.20 | 0.10 | \(4.80 \times 10^{-4}\) |
| 3 | 0.10 | 0.30 | \(2.16 \times 10^{-3}\) |

(a) Deduce the order of reaction with respect to:
(i) A, showing your reasoning. [2 marks]
(ii) B, showing your reasoning. [2 marks]

(b) Write the overall rate equation for the reaction. [1 mark]

(c) Calculate the rate constant, \(k\), using the data from Experiment 1, including its units. [3.4 marks]

(d) Predict the initial rate of reaction when the concentration of A is \(0.15\text{ mol dm}^{-3}\) and the concentration of B is \(0.20\text{ mol dm}^{-3}\). [2 marks]
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) Order with respect to A:
Compare Experiment 1 and Experiment 2:
- Concentration of B remains constant (\(0.10\text{ mol dm}^{-3}\)).
- Concentration of A is doubled from \(0.10\) to \(0.20\text{ mol dm}^{-3}\).
- The rate doubles from \(2.40 \times 10^{-4}\) to \(4.80 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\).
- Since doubling concentration doubles the rate, the order is first-order.

(a)(ii) Order with respect to B:
Compare Experiment 1 and Experiment 3:
- Concentration of A remains constant (\(0.10\text{ mol dm}^{-3}\)).
- Concentration of B is tripled from \(0.10\) to \(0.30\text{ mol dm}^{-3}\).
- The rate increases by a factor of 9 (\(\frac{2.16 \times 10^{-3}}{2.40 \times 10^{-4}} = 9\)).
- Since tripling concentration increases rate by \(3^2 = 9\), the order is second-order.

(b) Rate equation:
\(\text{Rate} = k[\text{A}][\text{B}]^2\)

(c) Calculating rate constant \(k\) using Exp 1:
\(k = \frac{\text{Rate}}{[\text{A}][\text{B}]^2}\)
\(k = \frac{2.40 \times 10^{-4}}{(0.10)(0.10)^2} = \frac{2.40 \times 10^{-4}}{1.00 \times 10^{-3}} = 0.24\)

Units of \(k\):
\(\text{Units of } k = \frac{\text{mol dm}^{-3}\text{ s}^{-1}}{(\text{mol dm}^{-3}) (\text{mol dm}^{-3})^2} = \text{mol}^{-2}\text{ dm}^6\text{ s}^{-1}\) (or \(\text{dm}^6\text{ mol}^{-2}\text{ s}^{-1}\))

(d) Predict rate:
\(\text{Rate} = 0.24 \times (0.15) \times (0.20)^2 = 0.24 \times 0.15 \times 0.04 = 1.44 \times 10^{-3}\text{ mol dm}^{-3}\text{ s}^{-1}\)

PastPaper.markingScheme

(a) [Total: 4 marks]
- 1 Mark: Correctly deduces first-order for A.
- 1 Mark: Explains reasoning by comparing Experiment 1 and 2.
- 1 Mark: Correctly deduces second-order for B.
- 1 Mark: Explains reasoning by comparing Experiment 1 and 3.

(b) [Total: 1 mark]
- 1 Mark: Correct rate equation matching part (a) (\(\text{Rate} = k[\text{A}][\text{B}]^2\)).

(c) [Total: 3.4 marks]
- 1 Mark: Correct rearrangement of rate equation to solve for \(k\).
- 1.4 Marks: Correct calculated value of \(0.24\).
- 1 Mark: Correct units of \(\text{dm}^6\text{ mol}^{-2}\text{ s}^{-1}\).

(d) [Total: 2 marks]
- 1 Mark: Correct substitution of new concentrations.
- 1 Mark: Correct final value of \(1.44 \times 10^{-3}\text{ mol dm}^{-3}\text{ s}^{-1}\) (accept standard form or decimal).

Unit 4: Section C

Answer all questions on rates of organic reaction systems.
1 PastPaper.question · 18 PastPaper.marks
PastPaper.question 1 · Organic Spectroscopy & Reaction Kinetics
18 PastPaper.marks
Answer all parts of the question. (a) The rate of hydrolysis of a chiral halogenoalkane A, \(\text{C}_4\text{H}_9\text{Br}\), by aqueous sodium hydroxide, \(\text{NaOH(aq)}\), was investigated at a constant temperature. The following experimental data were obtained: - Experiment 1: \([\text{C}_4\text{H}_9\text{Br}] = 0.050\text{ mol dm}^{-3}\); \([\text{OH}^-] = 0.10\text{ mol dm}^{-3}\); Initial rate = \(3.50 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\) - Experiment 2: \([\text{C}_4\text{H}_9\text{Br}] = 0.100\text{ mol dm}^{-3}\); \([\text{OH}^-] = 0.10\text{ mol dm}^{-3}\); Initial rate = \(7.00 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\) - Experiment 3: \([\text{C}_4\text{H}_9\text{Br}] = 0.100\text{ mol dm}^{-3}\); \([\text{OH}^-] = 0.20\text{ mol dm}^{-3}\); Initial rate = \(7.00 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\) (i) Deduce the order of reaction with respect to \(\text{C}_4\text{H}_9\text{Br}\) and with respect to \(\text{OH}^-\), explaining your reasoning. (ii) Write the rate equation for this reaction. (iii) Calculate the value of the rate constant, \(k\), stating its units. (b) A single enantiomer of the chiral halogenoalkane A (2-bromobutane) is hydrolysed under these conditions to form alcohol B (\(\text{C}_4\text{H}_{10}\text{O}\)). State the mechanism (\(\text{S}_\text{N}1\) or \(\text{S}_\text{N}2\)) of this reaction, and explain the effect of this mechanism on the optical activity of the product alcohol B. (c) Alcohol B is oxidized by heating under reflux with acidified potassium dichromate(VI) to form compound C. Describe how Infrared (IR) spectroscopy can be used to monitor the progress of this reaction and confirm when the oxidation is complete. (d) The \(^1\text{H}\) NMR spectrum of the purified organic product C contains three peaks: - A triplet at \(\delta = 1.0\text{ ppm}\) (integration 3H) - A singlet at \(\delta = 2.1\text{ ppm}\) (integration 3H) - A quartet at \(\delta = 2.4\text{ ppm}\) (integration 2H) Explain how this \(^1\text{H}\) NMR spectrum confirms that product C is butanone.
PastPaper.showAnswers

PastPaper.workedSolution

(a)(i) Order wrt \(\text{C}_4\text{H}_9\text{Br}\) is 1 because comparing Experiments 1 and 2, when \([\text{C}_4\text{H}_9\text{Br}]\) doubles and \([\text{OH}^-]\) is held constant, the rate doubles. Order wrt \([\text{OH}^-]\) is 0 because comparing Experiments 2 and 3, when \([\text{OH}^-]\) doubles and \([\text{C}_4\text{H}_9\text{Br}]\) is held constant, the rate remains unchanged. (ii) \(\text{Rate} = k[\text{C}_4\text{H}_9\text{Br}]\). (iii) Using Exp 2: \(k = \frac{\text{Rate}}{[\text{C}_4\text{H}_9\text{Br}]} = \frac{7.00 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}}{0.100\text{ mol dm}^{-3}} = 7.00 \times 10^{-4}\text{ s}^{-1}\). (b) The reaction proceeds via an \(\text{S}_\text{N}1\) mechanism. In the slow step, the \(\text{C-Br}\) bond breaks heterolytically to form a planar carbocation intermediate. The nucleophile (\(\text{OH}^-\)) can attack this planar intermediate with equal probability from either side, resulting in an equimolar (racemic) mixture of both enantiomers of alcohol B. Therefore, the product B is optically inactive due to the cancellation of the optical rotations. (c) The reaction is monitored by the disappearance of the broad \(\text{O-H}\) stretching absorption of the alcohol (B) at \(3200-3600\text{ cm}^{-1}\) and the appearance of the sharp \(\text{C=O}\) carbonyl stretching absorption of the ketone (C) at \(1675-1750\text{ cm}^{-1}\). The reaction is complete when the \(\text{O-H}\) absorption is entirely absent from the spectrum. (d) The structure of butanone is \(\text{CH}_3\text{COCH}_2\text{CH}_3\). The triplet at \(\delta = 1.0\text{ ppm}\) corresponds to the \(\text{-CH}_3\) protons split by the 2 adjacent protons of the \(\text{-CH}_2-\). The quartet at \(\delta = 2.4\text{ ppm}\) corresponds to the \(\text{-CH}_2-\) protons split by the 3 adjacent protons of the \(\text{-CH}_3\). The singlet at \(\delta = 2.1\text{ ppm}\) corresponds to the isolated \(\text{-CH}_3\) protons directly attached to the carbonyl group (no neighboring protons). The 3:3:2 integration ratio matches the proton environments.

PastPaper.markingScheme

(a)(i) 1 mark for correct order wrt C4H9Br with reasoning. 1 mark for correct order wrt OH^- with reasoning. 1 mark for overall clear logical deduction. (ii) 1 mark for Rate = k[C4H9Br]. (iii) 1 mark for value 7.00 x 10^-4. 1 mark for unit s^-1. (b) 1 mark for stating SN1. 1 mark for explaining that the slow step forms a carbocation. 1 mark for describing the carbocation intermediate as planar. 1 mark for stating the nucleophile attacks with equal probability from either side. 1 mark for stating that this forms a racemic mixture which is optically inactive. (c) 1 mark for loss of broad O-H absorption band in range 3200-3600 cm^-1. 1 mark for gain of sharp C=O absorption band in range 1675-1750 cm^-1. 1 mark for stating the reaction is complete when the O-H band is completely absent. (d) 1 mark for matching the triplet at 1.0 ppm to CH3 adjacent to CH2. 1 mark for matching the quartet at 2.4 ppm to CH2 adjacent to CH3. 1 mark for matching the singlet at 2.1 ppm to CH3 adjacent to C=O. 1 mark for linking the integration values to the total protons/environments in butanone.

Unit 5: Section A

Answer all transition metal and nitrogen-containing organic compound questions.
12 PastPaper.question · 12 PastPaper.marks
PastPaper.question 1 · multiple_choice
1 PastPaper.marks
Which of the following electronic configurations represents the ground state of a \(\text{Cr}^{3+}\) ion?
  1. A.\([\text{Ar}] 4\text{s}^2 3\text{d}^1\)
  2. B.\([\text{Ar}] 3\text{d}^3\)
  3. C.\([\text{Ar}] 4\text{s}^1 3\text{d}^2\)
  4. D.\([\text{Ar}] 3\text{d}^4\)
PastPaper.showAnswers

PastPaper.workedSolution

The electronic configuration of a neutral chromium atom, \(\text{Cr}\) (atomic number 24), is \([\text{Ar}] 4\text{s}^1 3\text{d}^5\). When forming the \(\text{Cr}^{3+}\) ion, three electrons are removed. The single electron in the \(4\text{s}\) orbital is lost first, followed by two electrons from the \(3\text{d}\) subshell. This leaves three electrons in the \(3\text{d}\) subshell, resulting in the ground state configuration of \([\text{Ar}] 3\text{d}^3\).

PastPaper.markingScheme

B is correct (1 mark).
PastPaper.question 2 · multiple_choice
1 PastPaper.marks
Which of the following is the correct order of increasing basicity (weakest base to strongest base) in aqueous solution for the compounds: phenylamine (I), ammonia (II), ethylamine (III), and diethylamine (IV)?
  1. A.I < II < III < IV
  2. B.I < II < IV < III
  3. C.II < I < III < IV
  4. D.IV < III < II < I
PastPaper.showAnswers

PastPaper.workedSolution

Phenylamine (I) is the weakest base because the lone pair of electrons on the nitrogen atom is partially delocalised into the benzene ring, making it less available to accept a proton. Ammonia (II) is stronger than phenylamine as there is no delocalisation. Ethylamine (III) is stronger than ammonia due to the positive inductive effect of the ethyl group. Diethylamine (IV) is the strongest because it has two electron-releasing ethyl groups, further increasing the electron density on the nitrogen atom. Thus, the correct order is I < II < III < IV.

PastPaper.markingScheme

A is correct (1 mark).
PastPaper.question 3 · multiple_choice
1 PastPaper.marks
When \([\text{Co}(\text{H}_2\text{O})_6]^{2+}\) reacts with \(\text{1,2-diaminoethane}\) (en), a ligand substitution reaction occurs: \([\text{Co}(\text{H}_2\text{O})_6]^{2+}(\text{aq}) + 3\text{en}(\text{aq}) \rightarrow [\text{Co}(\text{en})_3]^{2+}(\text{aq}) + 6\text{H}_2\text{O}(\text{l})\). What are the signs of the enthalpy change, \(\Delta H\), and the entropy change of the system, \(\Delta S_{\text{system}}\), for this reaction?
  1. A.\(\Delta H \gg 0\) (highly endothermic) and \(\Delta S_{\text{system}} > 0\)
  2. B.\(\Delta H \ll 0\) (highly exothermic) and \(\Delta S_{\text{system}} < 0\)
  3. C.\(\Delta H \approx 0\) and \(\Delta S_{\text{system}} > 0\)
  4. D.\(\Delta H \approx 0\) and \(\Delta S_{\text{system}} < 0\)
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PastPaper.workedSolution

Because six \(\text{Co-N}\) coordinate bonds are formed while six \(\text{Co-O}\) coordinate bonds are broken, and these bonds have very similar strengths, the enthalpy change \(\Delta H\) is close to zero. The reaction converts 4 reactant particles into 7 product particles in solution, which significantly increases the disorder and results in a positive entropy change of the system, \(\Delta S_{\text{system}} > 0\).

PastPaper.markingScheme

C is correct (1 mark).
PastPaper.question 4 · multiple_choice
1 PastPaper.marks
Which of the following represents the major organic species present in a solution of alanine, \(\text{CH}_3\text{CH}(\text{NH}_2)\text{COOH}\), at \(\text{pH } 1\)?
  1. A.\(\text{CH}_3\text{CH}(\text{NH}_2)\text{COO}^-\)
  2. B.\(\text{CH}_3\text{CH}(\text{NH}_3^+)\text{COO}^-\)
  3. C.\(\text{CH}_3\text{CH}(\text{NH}_2)\text{COOH}\)
  4. D.\(\text{CH}_3\text{CH}(\text{NH}_3^+)\text{COOH}\)
PastPaper.showAnswers

PastPaper.workedSolution

At a highly acidic pH of 1, the high concentration of hydrogen ions causes both basic sites of the amino acid to be protonated. The carboxylate group is protonated to form a carboxylic acid group (\(\text{-COOH}\)), and the amine group is protonated to form an ammonium group (\(\text{-NH}_3^+\)). Therefore, the major species is \(\text{CH}_3\text{CH}(\text{NH}_3^+)\text{COOH}\).

PastPaper.markingScheme

D is correct (1 mark).
PastPaper.question 5 · multiple_choice
1 PastPaper.marks
A solution containing \(\text{VO}_2^+\) ions is reduced using zinc and hydrochloric acid. Which of the following shows the correct sequence of colours observed as vanadium is reduced from its \(+5\) to its \(+2\) oxidation state?
  1. A.Yellow \(\rightarrow\) Blue \(\rightarrow\) Green \(\rightarrow\) Violet
  2. B.Yellow \(\rightarrow\) Violet \(\rightarrow\) Blue \(\rightarrow\) Green
  3. C.Blue \(\rightarrow\) Yellow \(\rightarrow\) Green \(\rightarrow\) Violet
  4. D.Violet \(\rightarrow\) Green \(\rightarrow\) Blue \(\rightarrow\) Yellow
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PastPaper.workedSolution

The reduction steps of vanadium are: \(\text{VO}_2^+\) (\(+5\), yellow) is reduced to \(\text{VO}^{2+}\) (\(+4\), blue), then to \(\text{V}^{3+}\) (\(+3\), green), and finally to \(\text{V}^{2+}\) (\(+2\), violet). The sequence is Yellow to Blue to Green to Violet.

PastPaper.markingScheme

A is correct (1 mark).
PastPaper.question 6 · multiple_choice
1 PastPaper.marks
Which of the following reaction processes produces an amide as the primary organic product?
  1. A.Propanenitrile reacting with \(\text{LiAlH}_4\) in dry ether
  2. B.Propanoic acid reacting with ammonia followed by heating
  3. C.Bromopropane reacting with excess ammonia in ethanol under pressure
  4. D.Nitrobenzene reacting with tin and concentrated hydrochloric acid
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PastPaper.workedSolution

Reacting a carboxylic acid (propanoic acid) with ammonia initially forms an ammonium salt (ammonium propanoate). Heating this salt dry causes it to undergo thermal dehydration, producing an amide (propanamide). The other processes produce primary amines (propylamine in A and C, phenylamine in D).

PastPaper.markingScheme

B is correct (1 mark).
PastPaper.question 7 · multiple_choice
1 PastPaper.marks
Which of the following statements correctly explains the origin of colour in aqueous transition metal complex ions?
  1. A.d-orbitals split in energy; electrons emit specific frequencies of visible light as they transition to a lower energy d-orbital, and this emitted light is seen.
  2. B.Electrons transition from s-orbitals to d-orbitals, absorbing UV light, which causes the solution to fluoresce in the visible region.
  3. C.d-orbitals split in energy; electrons absorb specific frequencies of visible light to transition to a higher energy d-orbital, and the complementary colour is transmitted.
  4. D.Ligands absorb specific wavelengths of light, causing ligand-to-metal charge transfer that results in the emission of the complementary colour.
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PastPaper.workedSolution

When ligands coordinate to a transition metal ion, the d-orbitals split into different energy levels. When visible light shines on the complex, an electron absorbs a specific wavelength of visible light to transition to a higher energy d-orbital. The remaining unabsorbed wavelengths are transmitted, and we see the complementary colour.

PastPaper.markingScheme

C is correct (1 mark).
PastPaper.question 8 · multiple_choice
1 PastPaper.marks
Which pair of monomers can undergo condensation polymerisation to form a polyamide?
  1. A.\(\text{Benzene-1,4-diol}\) and \(\text{benzene-1,4-dicarboxylic acid}\)
  2. B.\(\text{Ethane-1,2-diol}\) and \(\text{hexane-1,6-dioic acid}\)
  3. C.\(\text{Phenylethene}\) and \(\text{buta-1,3-diene}\)
  4. D.\(\text{Benzene-1,4-dicarboxylic acid}\) and \(\text{benzene-1,4-diamine}\)
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PastPaper.workedSolution

Polyamides are formed by the reaction of diamines with dicarboxylic acids (or diacyl chlorides) with the elimination of water (or HCl). Benzene-1,4-dicarboxylic acid and benzene-1,4-diamine react to form Kevlar, which is a polyamide. The other choices form polyesters (A, B) or addition polymers (C).

PastPaper.markingScheme

D is correct (1 mark).
PastPaper.question 9 · Multiple Choice
1 PastPaper.marks
The complex ion \([\text{Cr}(\text{C}_2\text{O}_4)_2(\text{H}_2\text{O})_2]^-\), where \(\text{C}_2\text{O}_4^{2-}\) is the bidentate ethanedioate ligand, exhibits stereoisomerism. What is the total number of stereoisomers (including any enantiomers) that exist for this complex ion?
  1. A.2
  2. B.3
  3. C.4
  4. D.6
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PastPaper.workedSolution

The complex ion \([\text{Cr}(\text{C}_2\text{O}_4)_2(\text{H}_2\text{O})_2]^-\) has an octahedral geometry with two bidentate ligands and two monodentate ligands. It exhibits both geometrical and optical isomerism:

1. The *trans* isomer has the two \(\text{H}_2\text{O}\) ligands located opposite to each other (\(180^\circ\) apart). This isomer has a plane of symmetry, making it achiral and optically inactive. (1 stereoisomer)

2. The *cis* isomer has the two \(\text{H}_2\text{O}\) ligands located adjacent to each other (\(90^\circ\) apart). This isomer lacks a plane of symmetry and is chiral. It therefore exists as a pair of non-superimposable mirror images (enantiomers). (2 stereoisomers)

Adding these together gives a total of 1 (*trans*) + 2 (*cis* enantiomers) = 3 stereoisomers.

PastPaper.markingScheme

1 mark for the correct answer.
- B is correct.
- Reject A: Only counts the two geometric forms (*cis* and *trans*) without recognizing the chirality of the *cis* form.
- Reject C: Overcounts or incorrectly assumes the *trans* form is also chiral.
- Reject D: Incorrectly calculates based on octahedral positions or coordination numbers.
PastPaper.question 10 · Multiple Choice
1 PastPaper.marks
Four nitrogen-containing compounds are listed below:

\(\text{I}\): Ethylamine
\(\text{II}\): Ammonia
\(\text{III}\): Phenylamine
\(\text{IV}\): Ethanamide

Which of the following ranks these compounds in order of decreasing basicity (strongest base first)?
  1. A.\(\text{I} > \text{II} > \text{III} > \text{IV}\)
  2. B.\(\text{I} > \text{III} > \text{II} > \text{IV}\)
  3. C.\(\text{IV} > \text{III} > \text{II} > \text{I}\)
  4. D.\(\text{II} > \text{I} > \text{III} > \text{IV}\)
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PastPaper.workedSolution

To determine the order of basicity, we look at the availability of the lone pair of electrons on the nitrogen atom to accept a proton:

- **Ethylamine (I)** is the strongest base. The ethyl group is an alkyl group, which is electron-releasing due to the positive inductive effect (\(+I\)). This increases the electron density on the nitrogen atom, making its lone pair more available.
- **Ammonia (II)** is a moderate base, stronger than phenylamine but weaker than aliphatic amines.
- **Phenylamine (III)** is a weaker base. The lone pair of electrons on the nitrogen atom is delocalised into the benzene ring's \(\pi\)-system, making it significantly less available.
- **Ethanamide (IV)** is the weakest base (virtually neutral). The lone pair of electrons on the nitrogen is strongly delocalised onto the highly electronegative oxygen atom of the carbonyl group (\(\text{C}=\text{O}\)), making it extremely unavailable for protonation.

Thus, the order of decreasing basicity is \(\text{I} > \text{II} > \text{III} > \text{IV}\).

PastPaper.markingScheme

1 mark for the correct answer.
- A is correct.
- Reject B: Incorrectly places phenylamine as a stronger base than ammonia.
- Reject C: Reverses the entire order (increasing basicity instead of decreasing).
- Reject D: Places ammonia as a stronger base than ethylamine.
PastPaper.question 11 · Multiple Choice
1 PastPaper.marks
The reaction between peroxodisulfate ions, \(\text{S}_2\text{O}_8^{2-}(\text{aq})\), and iodide ions, \(\text{I}^-(\text{aq})\), is homogeneous and is catalysed by iron(\(\text{II}\)) ions, \(\text{Fe}^{2+}(\text{aq})\).

Which statement about this catalysed reaction is correct?
  1. A.The reaction is an example of heterogeneous catalysis because the reactants are anions and the catalyst is a cation.
  2. B.Iron(\(\text{III}\)) ions, \(\text{Fe}^{3+}(\text{aq})\), are ineffective as a catalyst for this reaction because they cannot be easily oxidised.
  3. C.The catalyst works by providing an alternative pathway with a lower activation energy, involving temporary changes in the oxidation state of the iron ions.
  4. D.The activation energy of the uncatalysed reaction is high because it requires the collision of oppositely charged ions.
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PastPaper.workedSolution

Homogeneous catalysis involves a catalyst in the same phase as the reactants (all are aqueous here). Transition metals are highly effective homogeneous catalysts due to their ability to readily change oxidation states.

- **C is correct**: The catalyst works by providing an alternative pathway with a lower activation energy, involving temporary changes in the oxidation state of the iron ions (cycling between \(\text{Fe}^{2+}\) and \(\text{Fe}^{3+}\)).
- **A is incorrect**: It is homogeneous catalysis because all reactants and the catalyst are in the same phase (aqueous), not because of charge differences.
- **B is incorrect**: \(\text{Fe}^{3+}(\text{aq})\) ions are also highly effective catalysts because they can first react with \(\text{I}^-(\text{aq})\) to produce \(\text{Fe}^{2+}(\text{aq})\) and \(\text{I}_2\).
- **D is incorrect**: The uncatalysed reaction is slow because both reactants are negatively charged (\(\text{S}_2\text{O}_8^{2-}\) and \(\text{I}^-\)), causing repulsion between ions of the *same* charge.

PastPaper.markingScheme

1 mark for the correct answer.
- C is correct.
- Reject A: Incorrect definition of homogeneous/heterogeneous catalysis.
- Reject B: \(\text{Fe}^{3+}\) is also an effective catalyst for this reaction.
- Reject D: The reactants both have negative charges, so they repel, not opposite charges.
PastPaper.question 12 · Multiple Choice
1 PastPaper.marks
What is the structure of the predominant species of aspartic acid, \(\text{HOOCCH}_2\text{CH}(\text{NH}_2)\text{COOH}\), in a strongly alkaline solution at \(\text{pH } 12\)?
  1. A.\({}^-\text{OOCCH}_2\text{CH}(\text{NH}_2)\text{COO}^-\)
  2. B.\({}^-\text{OOCCH}_2\text{CH}(\text{NH}_3^+)\text{COO}^-\)
  3. C.\(\text{HOOCCH}_2\text{CH}(\text{NH}_3^+)\text{COOH}\)
  4. D.\(\text{HOOCCH}_2\text{CH}(\text{NH}_2)\text{COO}^-\)
PastPaper.showAnswers

PastPaper.workedSolution

Aspartic acid is an acidic amino acid. At different pH values, its protonation state changes:

- In a strongly alkaline solution (\(\text{pH } 12\)), there is a high concentration of hydroxide ions.
- Both carboxylic acid groups (\(-\text{COOH}\)) lose their protons to form carboxylate anions (\(-\text{COO}^-\)).
- The amine group remains in its basic, unprotonated form (\(-\text{NH}_2\)).
- Therefore, the predominant species is the dianion \({}^-\text{OOCCH}_2\text{CH}(\text{NH}_2)\text{COO}^-\).

PastPaper.markingScheme

1 mark for the correct answer.
- A is correct.
- Reject B: Represents a zwitterionic form where the amine remains protonated, which is incorrect at high pH.
- Reject C: Represents the fully protonated cationic form dominant in highly acidic solutions.
- Reject D: Represents the species where only one of the carboxylic acid groups has been deprotonated.

Unit 5: Section B

Answer all transition metal complexes and arenes questions.
5 PastPaper.question · 50 PastPaper.marks
PastPaper.question 1 · free-response
10 PastPaper.marks
Chromium(III) ions exist as octahedral [Cr(H2O)6]3+(aq) in aqueous solution. (a) Describe the observations and write ionic equations for the reactions that occur when: (i) Aqueous sodium hydroxide is added dropwise until in excess. (4 marks) (ii) Aqueous ammonia is added dropwise until in excess. (3 marks) (b) State the reagents, the conditions, and the color change observed when aqueous chromium(III) ions are oxidized to chromate(VI) ions. Write a balanced ionic equation for this oxidation reaction. (3 marks)
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PastPaper.workedSolution

(a)(i) Adding dropwise NaOH results in deprotonation of the hexaaquachromium(III) ion: \([Cr(H_2O)_6]^{3+} + 3OH^- \rightarrow Cr(OH)_3(H_2O)_3(s) + 3H_2O\). The precipitate is amphoteric, so adding excess NaOH further deprotonates it to form the soluble chromate(III) ion (hexahydroxochromate(III)): \(Cr(OH)_3(H_2O)_3(s) + 3OH^- \rightarrow [Cr(OH)_6]^{3-} + 3H_2O\), which is a dark green solution. (ii) Ammonia acts as a weak base initially, deprotonating the complex: \([Cr(H_2O)_6]^{3+} + 3NH_3 \rightarrow Cr(OH)_3(H_2O)_3(s) + 3NH_4^+\). With excess ammonia, ligand substitution occurs because ammonia is a stronger ligand than water: \(Cr(OH)_3(H_2O)_3(s) + 6NH_3 \rightarrow [Cr(NH_3)_6]^{3+} + 3OH^- + 3H_2O\), forming a purple/violet solution of hexaamminechromium(III). (b) Oxidation of chromium(III) to chromate(VI) is achieved using hydrogen peroxide in alkaline conditions (e.g., aqueous NaOH). The color changes from green (due to \([Cr(OH)_6]^{3-}\) or \(Cr^{3+}\)) to yellow (due to \(CrO_4^{2-}\)). The balanced redox equation is: \(2Cr^{3+} + 3H_2O_2 + 10OH^- \rightarrow 2CrO_4^{2-} + 8H_2O\).

PastPaper.markingScheme

(a)(i) M1: Green precipitate with dropwise NaOH [1]. M2: Dissolves to give a dark green solution in excess NaOH [1]. M3: Correct equation for precipitation [1]. M4: Correct equation for dissolution [1]. (ii) M5: Green precipitate with dropwise NH3 [1]. M6: Dissolves to give a purple/violet solution in excess NH3 [1]. M7: Correct equation for dissolution to [Cr(NH3)6]3+ [1]. (b) M8: Reagents: H2O2 and NaOH/alkaline conditions [1]. M9: Color change from green to yellow [1]. M10: Correct balanced equation: 2Cr3+ + 3H2O2 + 10OH- -> 2CrO42- + 8H2O [1] (accept equations starting from Cr(OH)3 or [Cr(OH)6]3- if balanced correctly).
PastPaper.question 2 · free-response
10 PastPaper.marks
Methylbenzene reacts significantly faster than benzene in electrophilic substitution reactions. (a) (i) Explain, in terms of the structure of methylbenzene, why it is more reactive towards electrophiles than benzene. (2 marks) (ii) Draw the complete mechanism for the mono-nitration of methylbenzene at the 4-position (para-position). Your mechanism should show the generation of the active electrophile, the formation and structure of the intermediate, and the regeneration of the catalyst. (5 marks) (b) Compare the reaction conditions required for the nitration of benzene with those required for the nitration of methylbenzene to ensure only mono-substitution occurs, and explain the difference. (3 marks)
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PastPaper.workedSolution

(a)(i) The methyl group is an alkyl group which is electron-donating via induction (+I effect). This increases the electron density in the aromatic ring compared to benzene, making the ring more nucleophilic and therefore more susceptible to attack by the electrophilic \(NO_2^+\) ion. (ii) Active electrophile generation: \(HNO_3 + 2H_2SO_4 \rightarrow NO_2^+ + H_3O^+ + 2HSO_4^-\). Electrophilic substitution: A pair of electrons from the benzene ring is donated to the \(NO_2^+\) electrophile at carbon-4. This forms a dative bond, producing a carbocation intermediate (Wheland intermediate) containing a partially broken ring structure with a positive charge. The positive charge is delocalized over the remaining 5 carbon atoms (the arc of the broken ring should span from C-2 to C-6, open towards C-4). A hydrogen sulfate ion, \(HSO_4^-\), then removes the proton from the C-4 carbon, regenerating the catalyst \(H_2SO_4\) and restoring the stable aromatic pi-electron system. (b) For benzene, nitration is typically run at \(50^\circ\text{C}\) to achieve an acceptable rate while avoiding dinitration. For methylbenzene, because the methyl group activates the ring, the reaction is much faster. To limit substitution to mono-nitration and prevent the formation of 2,4-dinitromethylbenzene or 2,4,6-trinitromethylbenzene (TNT), a lower temperature of around \(30^\circ\text{C}\) must be used.

PastPaper.markingScheme

(a)(i) M1: Identifies methyl group as electron-donating / has a +I inductive effect [1]. M2: Explains this increases pi-electron density of the ring, making it more attractive to electrophiles [1]. (a)(ii) M3: Equation for electrophile generation [1]. M4: Curly arrow from the benzene ring pi-cloud to the nitrogen of the NO2+ ion [1]. M5: Correct structure of the carbocation intermediate, showing the broken circle open towards the sp3 carbon and a positive charge inside [1]. M6: Curly arrow from the C-H bond back into the ring, and regeneration of H2SO4 with HSO4- [1]. (b) M7: Benzene nitration requires 50-55 °C, while methylbenzene nitration requires a lower temperature / ~30 °C [1]. M8: Explains that methylbenzene is more reactive due to activation by the methyl group [1]. M9: Explains that lower temperatures are necessary for methylbenzene to prevent multi-substitution / further nitration [1].
PastPaper.question 3 · free-response
10 PastPaper.marks
Copper(II) ions form different complexes depending on the ligands present in solution. (a) When concentrated hydrochloric acid is added to an aqueous solution containing blue [Cu(H2O)6]2+ ions, a yellow-green solution containing [CuCl4]2- is formed. (i) Write a balanced ionic equation for this reaction. (1 mark) (ii) State the coordination number and geometry of both the reactant and product copper complexes. (2 marks) (iii) Explain why the coordination number changes during this ligand substitution reaction. (2 marks) (b) When 1,2-diaminoethane (NH2CH2CH2NH2, abbreviated as 'en') is added to [Cu(H2O)6]2+(aq), a stable complex [Cu(en)3]2+ is formed. (i) Define the term bidentate ligand, and state how 1,2-diaminoethane acts as one. (2 marks) (ii) Write an equation for this reaction and explain, in terms of entropy changes, why the equilibrium constant for this reaction is extremely large. (3 marks)
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PastPaper.workedSolution

(a)(i) The ligand substitution reaction with chloride ions is represented by the equilibrium: \([Cu(H_2O)_6]^{2+}(aq) + 4Cl^-(aq) \rightleftharpoons [CuCl_4]^{2-}(aq) + 6H_2O(l)\). (ii) \([Cu(H_2O)_6]^{2+}\) has a coordination number of 6 and an octahedral geometry. \([CuCl_4]^{2-}\) has a coordination number of 4 and a tetrahedral geometry. (iii) The chloride ion, \(Cl^-\), is significantly larger than the neutral water molecule, \(H_2O\). Furthermore, there is electrostatic repulsion between the negatively charged chloride ligands. Consequently, only four chloride ligands can fit around the central \(Cu^{2+}\) ion compared to six water molecules. (b)(i) A bidentate ligand is a species that donates two lone pairs of electrons to a central metal ion to form two dative covalent (coordination) bonds. 1,2-diaminoethane has two nitrogen atoms, each possessing a lone pair of electrons available for donation. (ii) The substitution equation is: \([Cu(H_2O)_6]^{2+}(aq) + 3\text{en}(aq) \rightarrow [Cu(\text{en})_3]^{2+}(aq) + 6H_2O(l)\). In this reaction, 4 reactant particles react to produce 7 product particles. This increase in the number of particles in solution results in a significant increase in disorder, meaning the entropy change of the system, \(\Delta S_{\text{system}}\), is highly positive. Since \(\Delta G = \Delta H - T\Delta S\), and \(\Delta H\) is close to zero (as similar copper-nitrogen and copper-oxygen bonds are broken and formed), \(\Delta G\) becomes very negative, driving the equilibrium far to the right.

PastPaper.markingScheme

(a)(i) M1: Balanced equation: [Cu(H2O)6]2+ + 4Cl- -> [CuCl4]2- + 6H2O [1]. (a)(ii) M2: Both coordination numbers correct (6 and 4) and both geometries correct (octahedral and tetrahedral) [1]. (a)(iii) M3: Chloride ligands are larger than water molecules [1]. M4: Steric hindrance / electrostatic repulsion prevents 6 chlorides from coordinate bonding [1]. (b)(i) M5: Defines bidentate ligand: forms two dative covalent bonds / donates two lone pairs [1]. M6: Identifies the two lone pairs on the nitrogen atoms in 1,2-diaminoethane [1]. (b)(ii) M7: Correct balanced equation [1]. M8: Identifies the increase in the number of species/particles (from 4 to 7) [1]. M9: Explains that this leads to a positive entropy change (system), making delta G highly negative / chelate effect [1].
PastPaper.question 4 · free-response
10 PastPaper.marks
Phenylethanone, C6H5COCH3, can be prepared by the Friedel-Crafts acylation of benzene using ethanoyl chloride, CH3COCl, in the presence of anhydrous aluminum chloride, AlCl3, as a catalyst. (a) Write an equation for the reaction that generates the active electrophile. (1 mark) (b) Draw the mechanism for this acylation reaction, including curly arrows showing the movement of electron pairs, the structure of the intermediate organic ion, and the regeneration of the catalyst. (4 marks) (c) Explain why the AlCl3 catalyst must be kept strictly anhydrous. (2 marks) (d) Phenylethanone can be reduced to 1-phenylethanol. (i) Identify a suitable reducing agent for this reaction and state the conditions. (1 mark) (ii) State the classification (primary, secondary, or tertiary) of the alcohol produced, and the type of mechanism involved in this reduction. (2 marks)
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PastPaper.workedSolution

(a) The electrophile is the acylium ion, \(CH_3CO^+\), generated by the reaction: \(CH_3COCl + AlCl_3 \rightarrow CH_3CO^+ + AlCl_4^-\). (b) Mechanism: 1. A curly arrow is drawn from the delocalized pi-system of the benzene ring to the carbon atom of the \(CH_3CO^+\) electrophile. 2. This forms a carbocation intermediate (Wheland intermediate) where the ring is broken at the carbon where substitution occurs, carrying a positive charge. The broken arc must face the carbon containing both the \(-H\) and \(-COCH_3\) groups. 3. A curly arrow from the C-H bond of this carbon is directed back into the ring to restore the aromatic system. 4. The proton is removed by \(AlCl_4^-\), reforming \(AlCl_3\) and producing \(HCl\): \(AlCl_4^- + H^+ \rightarrow AlCl_3 + HCl\). (c) Aluminum chloride is a strong Lewis acid and reacts vigorously/violently with water in a hydrolysis reaction to form aluminum hydroxide and hydrochloric acid: \(AlCl_3 + 3H_2O \rightarrow Al(OH)_3 + 3HCl\). This prevents it from coordinating with the acyl chloride to generate the electrophile, rendering the catalyst inactive. (d)(i) A suitable reducing agent is sodium tetrahydridoborate(III) (\(NaBH_4\)) in aqueous/ethanolic solution, or lithium tetrahydridoaluminate(III) (\(LiAlH_4\)) dissolved in dry ether. (ii) The product is 1-phenylethanol, \(C_6H_5CH(OH)CH_3\), which is a secondary alcohol (the carbon bonded to the -OH group is bonded to two other carbons). The mechanism of the reduction of a ketone using hydride-donating reagents is nucleophilic addition.

PastPaper.markingScheme

(a) M1: Correct equation showing generation of CH3CO+ and AlCl4- [1]. (b) M2: Curly arrow from benzene ring to carbon of CH3CO+ [1]. M3: Correct intermediate showing broken ring with positive charge [1]. M4: Curly arrow from C-H bond back to ring, and AlCl4- reacting to regenerate AlCl3 and form HCl [1]. (c) M5: AlCl3 reacts violently with water / hydrolyzes [1]. M6: Hydrolysis destroys the catalyst / prevents it from acting as a Lewis acid [1]. (d)(i) M7: NaBH4 in aqueous/alcoholic solution OR LiAlH4 in dry ether [1]. (d)(ii) M8: Secondary alcohol [1]. M9: Nucleophilic addition [1].
PastPaper.question 5 · free-response
10 PastPaper.marks
Transition metals are highly effective as both homogeneous and heterogeneous catalysts. (a) The reaction between peroxodisulfate ions and iodide ions is extremely slow but can be catalyzed by aqueous iron(II) or iron(III) ions: S2O82-(aq) + 2I-(aq) -> 2SO42-(aq) + I2(aq). (i) Explain why this reaction is slow in the absence of a catalyst. (2 marks) (ii) Write two ionic equations to show how Fe2+(aq) ions act as a catalyst for this reaction. (2 marks) (b) The titration of ethanedioate ions, C2O42-, with acidified potassium manganate(VII), MnO4-, is an example of an autocatalytic reaction. (i) Define the term autocatalytic. (1 mark) (ii) Identify the specific species that acts as the catalyst in this reaction. (1 mark) (iii) Sketch a graph showing how the concentration of MnO4- ions changes with time from the start of the titration. Explain the shape of your graph in terms of the rate of reaction. (4 marks)
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(a)(i) Peroxodisulfate ions (\(S_2O_8^{2-}\)) and iodide ions (\(I^-\)) are both negatively charged. The electrostatic repulsion between these ions is strong, meaning they rarely collide with sufficient energy to overcome the high activation energy barrier of the uncatalyzed pathway. (ii) The \(Fe^{2+}\) catalyst provides an alternative pathway with lower activation energy by reacting sequentially with the negative ions. Step 1 (oxidation of iron(II)): \(S_2O_8^{2-}(aq) + 2Fe^{2+}(aq) \rightarrow 2SO_4^{2-}(aq) + 2Fe^{3+}(aq)\). Step 2 (reduction of iron(III) back to iron(II)): \(2Fe^{3+}(aq) + 2I^-(aq) \rightarrow 2Fe^{2+}(aq) + I_2(aq)\). (b)(i) An autocatalytic reaction is a chemical reaction in which one of the reaction products acts as a catalyst for the process. (ii) The catalyst is the manganese(II) ion, \(Mn^{2+}\). (iii) The graph of \([MnO_4^-]\) against time shows three distinct regions: 1. An initially slow decrease (flat curve) because the concentration of \(Mn^{2+}\) catalyst is zero or extremely low, and the reaction between the negatively charged \(MnO_4^-\) and \(C_2O_4^{2-}\) ions has high activation energy. 2. A rapid decrease (steep curve) as \(Mn^{2+}\) is produced and acts as a catalyst, speeding up the reaction. 3. A final flattening of the curve as the reactants are depleted, causing the rate to slow down.

PastPaper.markingScheme

(a)(i) M1: Both reactant ions are negatively charged [1]. M2: Electrostatic repulsion leads to high activation energy [1]. (a)(ii) M3: Equation showing oxidation of Fe2+ to Fe3+ by S2O82- [1]. M4: Equation showing reduction of Fe3+ back to Fe2+ by I- [1]. (b)(i) M5: Defines autocatalytic: a product acts as the catalyst [1]. (b)(ii) M6: Identifies Mn2+ as the catalyst [1]. (b)(iii) M7: Graph sketch with correctly labeled axes showing correct sigmoidal shape (initially slow, then steep, then plateaus near the x-axis) [1]. M8: Explains initial slow rate is due to lack of Mn2+ catalyst [1]. M9: Explains subsequent rapid rate is due to accumulation of Mn2+ catalyst [1]. M10: Explains final slow rate is due to reactant depletion [1].

Unit 5: Section C

Answer all organic synthesis pathway and catalytic cycle questions.
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PastPaper.question 1 · Organic Synthesis & Coordination Chemistry
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This question is about the synthesis of a bidentate organic ligand, its coordination chemistry with copper(II) ions, and the catalytic behavior of transition metal ions.

Part (a) Synthesis of 2-aminophenol

A research chemist designs a pathway to synthesize the bidentate ligand, 2-aminophenol, starting from phenol.

(i) Phenol is reacted with dilute nitric acid at room temperature to form a mixture of 2-nitrophenol and 4-nitrophenol. Write the equation for the formation of 2-nitrophenol from phenol, using structural or molecular formulae for the organic compounds, and state the type of reaction mechanism. (3 marks)

(ii) Explain why 2-nitrophenol and 4-nitrophenol can be separated by steam distillation, making reference to the types of intermolecular forces present in each isomer. (3 marks)

(iii) State the reagents and conditions required to reduce 2-nitrophenol to 2-aminophenol. (2 marks)

Part (b) Coordination Chemistry of 2-aminophenol

Under basic conditions, the phenolic \(\text{-OH}\) group of 2-aminophenol is deprotonated to form the 2-aminophenoxide ion, which acts as a bidentate ligand. This ligand reacts with aqueous copper(II) ions to form a neutral, square-planar coordination complex with the molecular formula \([\text{Cu}(\text{C}_6\text{H}_6\text{NO})_2]\).

(i) Draw the structure of the deprotonated 2-aminophenoxide ligand, clearly showing the lone pairs on the donor atoms that form coordinate bonds to the metal center. (2 marks)

(ii) Draw the structure of one of the geometric isomers of the neutral square-planar complex \([\text{Cu}(\text{C}_6\text{H}_6\text{NO})_2]\), clearly showing the coordinate bonds. (2 marks)

(iii) Explain why transition metal complexes, such as \([\text{Cu}(\text{C}_6\text{H}_6\text{NO})_2]\), are colored. (2 marks)

Part (c) Transition Metals as Catalysts

Transition metals and their compounds are widely used as catalysts. A classic example is the catalysis of the reaction between peroxodisulfate ions, \(\text{S}_2\text{O}_8^{2-}\), and iodide ions, \(\text{I}^-\), by aqueous iron(II) ions, \(\text{Fe}^{2+}\).

(i) Write two ionic equations to show how \(\text{Fe}^{2+}\) acts as a catalyst in this reaction, and explain why the uncatalyzed reaction has a high activation energy. (4 marks)

(ii) State the type of catalysis shown by \(\text{Fe}^{2+}\) in this reaction, and explain how a catalyst increases the rate of reaction. (2 marks)

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PastPaper.workedSolution

Part (a)

(i) Equation:
\(\text{C}_6\text{H}_5\text{OH} + \text{HNO}_3 \rightarrow \text{C}_6\text{H}_4(\text{OH})\text{NO}_2 + \text{H}_2\text{O}\)
Mechanism: Electrophilic substitution.

(ii) 2-nitrophenol exhibits intramolecular hydrogen bonding (between the \(\text{-OH}\) group and the adjacent \(\text{-NO}_2\) group on the same molecule). In contrast, 4-nitrophenol exhibits intermolecular hydrogen bonding (between the \(\text{-OH}\) of one molecule and the \(\text{-NO}_2\) of another). Consequently, 2-nitrophenol is more volatile (has a lower boiling point) and is easily vaporized during steam distillation, whereas 4-nitrophenol has stronger intermolecular forces and remains behind.

(iii) Reagents: Tin (\(\text{Sn}\)) and concentrated hydrochloric acid (\(\text{HCl}\)) heated under reflux. Followed by addition of an alkali, such as sodium hydroxide (\(\text{NaOH}\)), to liberate the free amine (2-aminophenol).

Part (b)

(i) The deprotonated 2-aminophenoxide ligand has a benzene ring with an \(\text{-O}^-\)[oxygen atom with a negative charge and lone pairs] and an \(\text{-NH}_2\)[nitrogen atom with a lone pair] on the adjacent carbon atom. The donor atoms are the phenoxide oxygen (\(\text{O}^-\)) and the amine nitrogen (\(\text{N}\)), both showing a lone pair.

(ii) The complex \([\text{Cu}(\text{C}_6\text{H}_6\text{NO})_2]\) is square planar. Copper(II) is the central metal ion. Two bidentate ligands coordinate via their \(\text{O}\) and \(\text{N}\) atoms. In the cis-isomer, the two \(\text{O}\) atoms are adjacent to each other and the two \(\text{N}\) atoms are adjacent. In the trans-isomer, the two \(\text{O}\) atoms are opposite each other, as are the two \(\text{N}\) atoms. Coordinate bonds are shown with arrows pointing from \(\text{O}\) and \(\text{N}\) to \(\text{Cu}\).

(iii) The presence of ligands causes the d-orbitals of the copper(II) ion to split into two energy levels with a small energy gap (\(\Delta E\)). An electron is excited from a lower d-orbital to a higher d-orbital (a d-d transition) by absorbing a photon of visible light (where \(\Delta E = h\nu\)). The complementary color of the light that is not absorbed is seen.

Part (c)

(i) Step 1: \(\text{S}_2\text{O}_8^{2-} + 2\text{Fe}^{2+} \rightarrow 2\text{SO}_4^{2-} + 2\text{Fe}^{3+}\)
Step 2: \(2\text{Fe}^{3+} + 2\text{I}^- \rightarrow 2\text{Fe}^{2+} + \text{I}_2\)
The uncatalyzed reaction is between two negatively charged ions (\(\text{S}_2\text{O}_8^{2-}\) and \(\text{I}^-\)). Since like charges repel each other, the collision has a very high activation energy. The catalyzed route involves collisions of opposite charges (negative and positive), which have a much lower activation energy.

(ii) Homogeneous catalysis. A catalyst increases the rate of reaction by providing an alternative reaction pathway with a lower activation energy, so a larger fraction of colliding particles have energy greater than or equal to the activation energy.

PastPaper.markingScheme

Part (a) [Total: 8 marks]

(i) [3 marks]
• M1: Correct reactants and products (\(\text{C}_6\text{H}_5\text{OH}\) and \(\text{HNO}_3\) to \(\text{C}_6\text{H}_4(\text{OH})\text{NO}_2\) and \(\text{H}_2\text{O}\)) [1 mark]
• M2: Correctly balanced equation [1 mark]
• M3: Electrophilic substitution [1 mark]

(ii) [3 marks]
• M1: Identifies intramolecular hydrogen bonding in 2-nitrophenol [1 mark]
• M2: Identifies intermolecular hydrogen bonding in 4-nitrophenol [1 mark]
• M3: Connects this to volatility / boiling point differences (2-nitrophenol is more volatile / has weaker intermolecular forces, so distillable) [1 mark]

(iii) [2 marks]
• M1: Tin (\(\text{Sn}\)) and concentrated hydrochloric acid (\(\text{HCl}\)) (and heat/reflux) [1 mark]
• M2: Sodium hydroxide (\(\text{NaOH}\)) / alkali to liberate the amine [1 mark] (Reject: LiAlH4 or NaBH4 as these do not typically reduce nitroarenes in the Pearson Edexcel specification; Sn/HCl is the standard expected reagent)

Part (b) [Total: 6 marks]

(i) [2 marks]
• M1: Correct structural drawing of 2-aminophenoxide (benzene ring with adjacent \(\text{-O}^-\)/\(\text{-O}\) and \(\text{-NH}_2\)) [1 mark]
• M2: Showing lone pair on the oxygen and nitrogen donor atoms [1 mark]

(ii) [2 marks]
• M1: Square planar representation around \(\text{Cu}\) with four coordination sites [1 mark]
• M2: Correct coordinate arrows from oxygen and nitrogen of two ligands to \(\text{Cu}\), forming a neutral complex [1 mark]

(iii) [2 marks]
• M1: Ligands cause d-orbitals to split into different energy levels [1 mark]
• M2: d-d transition / promotion of electrons from lower to higher d-orbitals absorbs light in the visible range, transmitting/reflecting the complementary color [1 mark]

Part (c) [Total: 6 marks]

(i) [4 marks]
• M1: \(\text{S}_2\text{O}_8^{2-} + 2\text{Fe}^{2+} \rightarrow 2\text{SO}_4^{2-} + 2\text{Fe}^{3+}\) [1 mark]
• M2: \(2\text{Fe}^{3+} + 2\text{I}^- \rightarrow 2\text{Fe}^{2+} + \text{I}_2\) [1 mark]
• M3: Uncatalyzed reaction involves repulsion between negatively charged ions (\(\text{S}_2\text{O}_8^{2-}\) and \(\text{I}^-\)) [1 mark]
• M4: Catalyzed steps involve oppositely charged ions colliding, lowering the activation energy [1 mark]

(ii) [2 marks]
• M1: Homogeneous catalysis [1 mark]
• M2: Provides an alternative reaction pathway with a lower activation energy [1 mark]

PastPaper.section Unit 6

Answer all questions testing experimental design, purification, and organic preparation.
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PastPaper.question 1 · Recrystallisation, Purifications & d-Block Reactions
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A student was tasked with purifying a 2.50 g sample of impure benzoic acid that was synthesised in the laboratory. The student chose recrystallisation as the method of purification.

(a) (i) Explain the necessary solubility characteristics that a solvent must possess to be suitable for the recrystallisation of benzoic acid. (2 marks)

(ii) Describe the experimental procedure for the recrystallisation of benzoic acid, starting with the crude solid and ending with dry crystals on a piece of filter paper. Explain the purpose of each step in the procedure. (6 marks)

(iii) After drying, the student obtained 1.85 g of pure benzoic acid. Assuming the original sample contained 90.0% benzoic acid by mass, calculate the percentage yield of the recrystallisation process. (2.5 marks)

(b) Describe how the student could use melting temperature determination to verify the purity and identity of the recrystallised benzoic acid. Explain how the melting temperature of the impure benzoic acid would compare to that of the purified product. (2 marks)
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(a) (i) The solvent must dissolve benzoic acid very well at high temperatures (near its boiling point) but poorly or sparingly at low temperatures (room temperature or in an ice bath).

(ii) Detailed procedure and purposes:
1. Dissolve the crude benzoic acid in the minimum volume of boiling solvent. Purpose: to ensure a saturated solution is formed so that maximum recrystallisation occurs upon cooling.
2. Filter the hot solution through fluted filter paper (using a preheated funnel). Purpose: to remove insoluble impurities while preventing premature crystallisation on the filter paper.
3. Allow the filtrate to cool slowly to room temperature, then place it in an ice bath. Purpose: slow cooling encourages the formation of large, pure crystals, leaving soluble impurities dissolved in the cold solvent.
4. Filter the crystals under reduced pressure using a Büchner funnel and flask. Purpose: to separate the pure crystals from the soluble impurities quickly and efficiently.
5. Wash the crystals with a small volume of ice-cold solvent. Purpose: to wash away any remaining soluble impurities on the crystal surface without dissolving the product.
6. Dry the crystals in a desiccator, warm oven, or between sheets of filter paper. Purpose: to remove all solvent residue to obtain an accurate mass.

(iii) Mass of pure benzoic acid originally present = \( 2.50 \times 0.900 = 2.25 \text{ g} \)
Percentage yield = \( \frac{1.85}{2.25} \times 100\% = 82.2\% \) (rounded to 3 significant figures).

(b) The student can place a small sample of the dried crystals in a capillary tube and heat it slowly in a melting point apparatus. A pure sample will melt sharply at a temperature close to the literature value of \( 122 \ ^\circ\text{C} \). An impure sample will melt over a wide range and at a significantly lower temperature than the pure sample.

PastPaper.markingScheme

(a) (i)
- M1: Soluble in hot solvent / near solvent's boiling point. (1)
- M2: Insoluble / sparingly soluble in cold solvent / at room temperature / in ice. (1)

(a) (ii)
Award up to 6 marks for any combination of a step and its correct explanation (max 6 marks):
- M1 & M2: Dissolve in minimum volume of hot/boiling solvent (1) to ensure a saturated solution / high yield (1).
- M3 & M4: Filter hot / fluted filter paper (1) to remove insoluble impurities (1).
- M5 & M6: Cool slowly / ice bath (1) to crystallise benzoic acid / leave soluble impurities in solution (1).
- M7 & M8: Filter under reduced pressure / Büchner funnel (1) to separate crystals from filtrate/soluble impurities (1).
- M9 & M10: Wash with ice-cold solvent (1) to remove soluble impurities without dissolving the crystals (1).
- M11: Dry between filter papers / desiccator / warm oven (1).

(a) (iii)
- M1: Calculation of mass of benzoic acid in crude sample: \( 2.50 \times 0.900 = 2.25 \text{ g} \). (1)
- M2: Calculation of yield: \( \frac{1.85}{2.25} \times 100\% = 82.22\% \). (1)
- M3: Final answer rounded to 3 significant figures: \( 82.2\% \). (0.5)

(b)
- M1: Pure sample melts sharply / over a narrow range of 1-2 degrees near the literature value of \( 122 \ ^\circ\text{C} \). (1)
- M2: Impure sample melts over a wide temperature range AND at a lower temperature than the pure sample. (1)
PastPaper.question 2 · Recrystallisation, Purifications & d-Block Reactions
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A student prepared crystals of tetraamminecopper(II) sulfate-1-water, \( [\text{Cu}(\text{NH}_3)_4]\text{SO}_4\cdot\text{H}_2\text{O} \), starting from hydrated copper(II) sulfate, \( \text{CuSO}_4\cdot5\text{H}_2\text{O} \).

The student dissolved 6.24 g of \( \text{CuSO}_4\cdot5\text{H}_2\text{O} \) in a minimum volume of distilled water, then added concentrated ammonia solution dropwise until the precipitate that initially formed completely dissolved to give a deep-blue solution. Ethanol was then added to precipitate the product.

(a) State the formula and colour of the precipitate that initially forms when a small amount of ammonia is added, and write an ionic equation for its formation. (3 marks)

(b) Write an ionic equation for the reaction that occurs when excess ammonia is added to redissolve the precipitate, forming the deep-blue solution. (2 marks)

(c) State the role of the ethanol added to the reaction mixture, and explain why the crystals are washed with cold ethanol rather than water. (2 marks)

(d) Calculate the maximum mass of \( [\text{Cu}(\text{NH}_3)_4]\text{SO}_4\cdot\text{H}_2\text{O} \) that could be formed from 6.24 g of \( \text{CuSO}_4\cdot5\text{H}_2\text{O} \). (3.5 marks)

(e) The student obtained 4.88 g of dry, pure crystals. Calculate the percentage yield of the product. (2 marks)
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PastPaper.workedSolution

(a) When a small amount of ammonia is added, a pale-blue precipitate of copper(II) hydroxide, \( \text{Cu}(\text{OH})_2 \) (or \( \text{Cu}(\text{OH})_2(\text{H}_2\text{O})_4 \)), is formed.
Ionic equation:
\( [\text{Cu}(\text{H}_2\text{O})_6]^{2+}(aq) + 2\text{NH}_3(aq) \rightarrow \text{Cu}(\text{OH})_2(\text{H}_2\text{O})_4(s) + 2\text{NH}_4^+(aq) \)
(or simply \( \text{Cu}^{2+}(aq) + 2\text{OH}^-(aq) \rightarrow \text{Cu}(\text{OH})_2(s) \))

(b) With excess ammonia, ligand substitution occurs to form the tetraamminediaphoracopper(II) complex:
\( \text{Cu}(\text{OH})_2(\text{H}_2\text{O})_4(s) + 4\text{NH}_3(aq) \rightarrow [\text{Cu}(\text{NH}_3)_4(\text{H}_2\text{O})_2]^{2+}(aq) + 2\text{OH}^-(aq) + 2\text{H}_2\text{O}(l) \)
or from the hexaaqua ion:
\( [\text{Cu}(\text{H}_2\text{O})_6]^{2+}(aq) + 4\text{NH}_3(aq) \rightarrow [\text{Cu}(\text{NH}_3)_4(\text{H}_2\text{O})_2]^{2+}(aq) + 4\text{H}_2\text{O}(l) \)

(c) Ethanol is added because the copper complex is much less soluble in ethanol than in water, which forces the product to precipitate out of the solution. The crystals are washed with cold ethanol because the complex is insoluble in ethanol, so washing removes impurities without dissolving and losing the product. Water would dissolve the product readily.

(d) Molar mass of reactant \( \text{CuSO}_4\cdot5\text{H}_2\text{O} \):
\( M_r = 63.5 + 32.1 + (4 \times 16.0) + 5 \times (2.0 + 16.0) = 249.6 \text{ g mol}^{-1} \)
Moles of reactant used = \( \frac{6.24}{249.6} = 0.0250 \text{ mol} \)
Since 1 mole of reactant forms 1 mole of product, theoretical moles of product = \( 0.0250 \text{ mol} \).
Molar mass of product \( [\text{Cu}(\text{NH}_3)_4]\text{SO}_4\cdot\text{H}_2\text{O} \):
\( M_r = 63.5 + (4 \times 14.0) + (12 \times 1.0) + 32.1 + (4 \times 16.0) + 18.0 = 245.6 \text{ g mol}^{-1} \)
Maximum theoretical mass = \( 0.0250 \times 245.6 = 6.14 \text{ g} \).

(e) Percentage yield = \( \frac{4.88}{6.14} \times 100\% = 79.5\% \) (rounded to 3 significant figures).

PastPaper.markingScheme

(a)
- M1: Formula: \( \text{Cu}(\text{OH})_2 \) or \( \text{Cu}(\text{OH})_2(\text{H}_2\text{O})_4 \) AND colour: pale-blue precipitate. (1)
- M2: Equation reactants: \( [\text{Cu}(\text{H}_2\text{O})_6]^{2+} + 2\text{NH}_3 \) (or equivalent). (1)
- M3: Equation products: \( \text{Cu}(\text{OH})_2(\text{H}_2\text{O})_4 + 2\text{NH}_4^+ \) (or equivalent, must balance). (1)

(b)
- M1: Correct reactants: \( \text{Cu}(\text{OH})_2(\text{H}_2\text{O})_4 + 4\text{NH}_3 \) or \( [\text{Cu}(\text{H}_2\text{O})_6]^{2+} + 4\text{NH}_3 \). (1)
- M2: Correct products and balanced: \( [\text{Cu}(\text{NH}_3)_4(\text{H}_2\text{O})_2]^{2+} \) plus remaining water/hydroxide. (1)

(c)
- M1: Role of ethanol: To decrease solubility of the complex / force precipitate formation. (1)
- M2: Washing with cold ethanol: Complex is insoluble in cold ethanol, so it washes away impurities without dissolving the product. (1)

(d)
- M1: Calculation of \( M_r \) of reactant as \( 249.6 \) and product as \( 245.6 \) (allow small variations due to periodic table rounding). (1)
- M2: Calculation of moles of reactant = \( 0.0250 \text{ mol} \). (1)
- M3: Relates 1:1 stoichiometry to theoretical product moles. (0.5)
- M4: Calculation of theoretical mass = \( 6.14 \text{ g} \). (1)

(e)
- M1: Yield equation: \( \frac{4.88}{\text{theoretical mass}} \times 100 \). (1)
- M2: Final answer: \( 79.5\% \) (accept \( 79.4\% \) to \( 79.6\% \) depending on atomic mass values used; must be 3 sig figs). (1)
PastPaper.question 3 · Recrystallisation, Purifications & d-Block Reactions
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Cyclohexene (boiling temperature \( 83 \ ^\circ\text{C} \)) can be prepared by the dehydration of cyclohexanol (boiling temperature \( 161 \ ^\circ\text{C} \)) using concentrated phosphoric acid as a catalyst.

A student added 10.0 g of cyclohexanol and 4.0 cm\(^3\) of concentrated phosphoric acid to a round-bottomed flask. The mixture was heated gently, and the crude distillate was collected.

(a) Draw a fully labelled diagram of the distillation apparatus used to collect the crude product. (4 marks)

(b) Explain why concentrated phosphoric acid is preferred as a catalyst for this dehydration over concentrated sulfuric acid. (1 mark)

(c) The crude distillate in the receiving flask is a mixture containing cyclohexene, water, cyclohexanol, and some phosphoric acid.

Describe the experimental procedure to obtain a pure, dry sample of cyclohexene from this crude distillate. State the name and purpose of any chemical reagents used at each step. (5.5 marks)

(d) State a chemical test, including the reagent and expected observation, that the student could perform on the final product to confirm the presence of the carbon-carbon double bond. (2 marks)
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PastPaper.workedSolution

(a) A fully labelled diagram of a simple distillation setup must show:
- Round-bottomed or pear-shaped flask containing the reaction mixture with a heat source.
- Still-head/T-piece with a thermometer properly positioned so that the bulb is adjacent to the side-arm opening.
- Liebeg condenser sloped downwards, showing water entering at the lower end (water in) and leaving at the upper end (water out).
- Receiver adapter directing distillate into a receiving flask (which must be open to the atmosphere/not sealed).
- Labels for: flask, thermometer, condenser, water inlet/outlet, and distillate/receiver flask.

(b) Concentrated phosphoric acid is a non-oxidising acid. Concentrated sulfuric acid is a strong oxidising agent and a severe dehydrating agent that causes charring and produces toxic by-products (such as sulfur dioxide) and polymerisation of the alkene.

(c) Purification steps:
1. Transfer the crude distillate to a separating funnel and add aqueous sodium hydrogencarbonate (or sodium carbonate) to neutralise any phosphoric acid that distilled over.
2. Invert and shake the funnel, releasing the pressure by opening the tap periodically. Allow the layers to separate, then run off and discard the lower aqueous layer.
3. Wash the organic layer with distilled water in the separating funnel, let the layers separate, and run off the aqueous layer.
4. Transfer the organic layer (cyclohexene) to a clean conical flask and add an anhydrous inorganic drying agent, such as anhydrous calcium chloride (or anhydrous sodium sulfate/magnesium sulfate). Swirl and leave until the liquid becomes completely clear.
5. Decant or filter the dried liquid into a clean round-bottomed flask.
6. Set up for a second distillation. Heat the liquid and collect the fraction that distils within a narrow temperature range around the boiling point of cyclohexene, specifically \( 81-83 \ ^\circ\text{C} \).

(d) Reagent: Bromine water (or bromine dissolved in an organic solvent like cyclohexane).
Observation: The orange/yellow/brown solution turns colourless (decolourises).

PastPaper.markingScheme

(a)
- M1: Flask with heat source, stillhead, and thermometer bulb correctly placed at the side-arm junction. (1)
- M2: Downward-sloping condenser with outer water jacket. (1)
- M3: Water flow direction in condenser correct (water in at bottom, out at top) and receiving vessel shown. (1)
- M4: System is not sealed (safety requirement) AND all key parts labelled. (1)

(b)
- M1: Phosphoric acid is non-oxidising / sulfuric acid is an oxidising agent (causes charring/side reactions). (1)

(c)
- M1: Use of separating funnel with aqueous sodium hydrogencarbonate / sodium carbonate (1) to neutralise acid / phosphoric acid (0.5).
- M2: Separate layers and discard aqueous layer (0.5).
- M3: Wash organic layer with water (0.5) and separate (0.5).
- M4: Add an anhydrous drying agent (such as anhydrous \( \text{CaCl}_2 \), \( \text{MgSO}_4 \), or \( \text{Na}_2\text{SO}_4 \)) (1) to remove water / dry the organic layer (0.5).
- M5: Redistil the decanted liquid, collecting the fraction at \( 81-83 \ ^\circ\text{C} \) (1).

(d)
- M1: Reagent: Bromine water / bromine. (1)
- M2: Observation: Decolourises / goes from orange-brown to colourless. (1)
(Alternative: Alkaline potassium manganate(VII) (1); purple to green or brown precipitate (1).)
PastPaper.question 4 · Recrystallisation, Purifications & d-Block Reactions
12.5 PastPaper.marks
Methyl 3-nitrobenzoate (a solid at room temperature) is prepared by the electrophilic substitution reaction of methyl benzoate.

A student prepared the compound by cooling 4.0 cm\(^3\) of methyl benzoate in a flask in an ice bath, then adding 8.0 cm\(^3\) of concentrated sulfuric acid. A cooled mixture of 3.0 cm\(^3\) of concentrated nitric acid and 3.0 cm\(^3\) of concentrated sulfuric acid was added slowly, maintaining the temperature below \( 15 \ ^\circ\text{C} \). Once addition was complete, the mixture was allowed to stand before being poured onto ice.

(a) Write an equation for the reaction that occurs between concentrated sulfuric acid and concentrated nitric acid to generate the electrophile, and state the formula of this electrophile. (2 marks)

(b) Explain why it is essential to keep the temperature of the reaction mixture below \( 15 \ ^\circ\text{C} \) during the addition of the nitrating mixture. (1.5 marks)

(c) State why the reaction mixture is poured onto crushed ice after standing. (1 mark)

(d) The crude product is purified by recrystallisation from ethanol.
(i) Suggest why ethanol is used as the solvent for recrystallisation rather than water. (1 mark)
(ii) State how the student should wash and dry the purified crystals after filtering them from the recrystallisation mixture. (2 marks)

(e) In the experiment, the student used 4.0 cm\(^3\) of methyl benzoate (density = \( 1.09 \text{ g cm}^{-3} \)) and obtained 3.65 g of dry, pure methyl 3-nitrobenzoate.
(i) Calculate the amount, in moles, of methyl benzoate used. (2 marks)
(ii) Calculate the percentage yield of methyl 3-nitrobenzoate. (3 marks)
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PastPaper.workedSolution

(a) Equation for generation of the electrophile:
\( \text{HNO}_3 + 2\text{H}_2\text{SO}_4 \rightarrow \text{NO}_2^+ + \text{H}_3\text{O}^+ + 2\text{HSO}_4^- \)
(Accept: \( \text{HNO}_3 + \text{H}_2\text{SO}_4 \rightarrow \text{NO}_2^+ + \text{H}_2\text{O} + \text{HSO}_4^- \))
Formula of the electrophile: \( \text{NO}_2^+ \) (the nitronium ion).

(b) Nitration is exothermic. Keeping the temperature below \( 15 \ ^\circ\text{C} \) prevents further nitration / dinitration (which would form methyl 3,5-dinitrobenzoate) and limits the production of other unwanted isomers or decomposition products.

(c) Crushed ice is used to rapidly cool the mixture, safely dilute the concentrated acids (absorbing the exothermic heat of dilution), and precipitate the insoluble methyl 3-nitrobenzoate out of solution as a solid.

(d) (i) Methyl 3-nitrobenzoate is very soluble in hot ethanol but insoluble in cold ethanol, which is the ideal characteristic for recrystallisation. It is virtually insoluble in water at all temperatures.
(ii) The student should wash the crystals on the filter paper with a small amount of ice-cold ethanol. They should dry the crystals in a desiccator, a low-temperature oven (well below the melting temperature of the product, \( 78 \ ^\circ\text{C} \)), or between pieces of filter paper.

(e) (i) Mass of methyl benzoate = \( \text{volume} \times \text{density} = 4.0 \text{ cm}^3 \times 1.09 \text{ g cm}^{-3} = 4.36 \text{ g} \)
Molar mass of methyl benzoate, \( \text{C}_6\text{H}_5\text{COOCH}_3 \) (\( \text{C}_8\text{H}_8\text{O}_2 \)):
\( M_r = (8 \times 12.0) + (8 \times 1.0) + (2 \times 16.0) = 136.0 \text{ g mol}^{-1} \)
Moles of methyl benzoate = \( \frac{4.36}{136.0} = 0.0321 \text{ mol} \) (or \( 0.03206 \text{ mol} \))

(ii) The theoretical yield stoichiometry is 1:1, so theoretical moles of methyl 3-nitrobenzoate = \( 0.03206 \text{ mol} \).
Molar mass of methyl 3-nitrobenzoate, \( \text{O}_2\text{NC}_6\text{H}_4\text{COOCH}_3 \) (\( \text{C}_8\text{H}_7\text{NO}_4 \)):
\( M_r = (8 \times 12.0) + (7 \times 1.0) + 14.0 + (4 \times 16.0) = 181.0 \text{ g mol}^{-1} \)
Theoretical mass of product = \( 0.03206 \text{ mol} \times 181.0 \text{ g mol}^{-1} = 5.803 \text{ g} \)
Percentage yield = \( \frac{3.65}{5.803} \times 100\% = 62.9\% \) (rounded to 3 significant figures).

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(a)
- M1: Equation: \( \text{HNO}_3 + 2\text{H}_2\text{SO}_4 \rightarrow \text{NO}_2^+ + \text{H}_3\text{O}^+ + 2\text{HSO}_4^- \) (or equivalent). (1)
- M2: Formula of electrophile: \( \text{NO}_2^+ \). (1)

(b)
- M1: To prevent further nitration / dinitration / multiple nitrations. (1)
- M2: Identify that methyl 3,5-dinitrobenzoate would be formed as an impurity. (0.5)

(c)
- M1: To precipitate the product AND safely dilute the concentrated acids. (1)

(d) (i)
- M1: Highly soluble in hot ethanol but insoluble in cold ethanol (whereas it is insoluble in water at all temperatures). (1)
(ii)
- M1: Wash with a small portion of ice-cold ethanol. (1)
- M2: Dry in a desiccator / warm oven (below melting point) / between filter papers. (1)

(e) (i)
- M1: Calculation of mass of methyl benzoate: \( 4.0 \times 1.09 = 4.36 \text{ g} \). (1)
- M2: Moles of methyl benzoate = \( \frac{4.36}{136.0} = 0.0321 \text{ mol} \) (accept \( 0.032 \text{ mol} \)). (1)

(e) (ii)
- M1: Calculation of \( M_r \) of methyl 3-nitrobenzoate as \( 181.0 \text{ g mol}^{-1} \). (1)
- M2: Theoretical mass of product = \( 0.03206 \times 181.0 = 5.80 \text{ g} \). (1)
- M3: Percentage yield = \( \frac{3.65}{5.80} \times 100 = 62.9\% \) (accept range \( 62.8\% - 63.0\% \), must be 3 sig figs). (1)

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