An original Thinka practice paper modelled on the structure and difficulty of the Jun 2023 Cambridge International A Level Chemistry (YCH11) paper. Not affiliated with or reproduced from Cambridge.
WCH11/01 Unit 1 Section A
Answer all multiple choice questions by placing a cross in the box.
20 Question · 20 marks
Question 1 · multiple-choice
1 marks
What is the total number of ions in \(25.0\text{ cm}^3\) of a \(0.040\text{ mol dm}^{-3}\) solution of aluminium sulfate, \(\text{Al}_2(\text{SO}_4)_3\)?
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Worked solution
1. Calculate the number of moles of aluminium sulfate: \(\text{moles of Al}_2(\text{SO}_4)_3 = 25.0 \times 10^{-3}\text{ dm}^3 \times 0.040\text{ mol dm}^{-3} = 0.0010\text{ mol}\)
2. Determine the number of moles of ions per mole of formula unit: Each formula unit of \(\text{Al}_2(\text{SO}_4)_3\) dissociates into \(2\text{Al}^{3+}\) and \(3\text{SO}_4^{2-}\) ions, which is a total of \(5\) ions.
3. Calculate the total moles of ions: \(\text{moles of ions} = 0.0010\text{ mol} \times 5 = 0.0050\text{ mol}\)
4. Calculate the total number of ions: \(\text{number of ions} = 0.0050\text{ mol} \times 6.02 \times 10^{23}\text{ mol}^{-1} = 3.01 \times 10^{21}\)
Marking scheme
• D is the correct answer (1 mark) • A represents the number of ions if there were only 1 ion per formula unit (0 marks) • B represents the number of aluminium ions only (0 marks) • C represents the number of sulfate ions only (0 marks)
Question 2 · multiple-choice
1 marks
The first five successive ionisation energies of an element, \(X\), are \(578\), \(1817\), \(2745\), \(11578\), and \(14831\text{ kJ mol}^{-1}\).
What is the formula of the oxide of \(X\)?
A.\(X_2\text{O}\)
B.\(X\text{O}\)
C.\(X_2\text{O}_3\)
D.\(X\text{O}_2\)
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Worked solution
1. Look for the largest ratio jump between successive ionisation energies. - Ratio 2nd/1st = \(1817 / 578 \approx 3.1\) - Ratio 3rd/2nd = \(2745 / 1817 \approx 1.5\) - Ratio 4th/3rd = \(11578 / 2745 \approx 4.2\) - Ratio 5th/4th = \(14831 / 11578 \approx 1.3\)
The largest jump occurs between the third and fourth ionisation energies. This indicates that the fourth electron is being removed from an inner quantum shell. Therefore, \(X\) has three valence electrons in its outer shell and forms a \(X^{3+}\) ion.
2. The oxide ion is \(\text{O}^{2-}\). To form a neutral compound, two \(X^{3+}\) ions combine with three \(\text{O}^{2-}\) ions, giving the empirical formula \(X_2\text{O}_3\).
Marking scheme
• C is the correct answer (1 mark) • A is incorrect as it represents a Group 1 element (0 marks) • B is incorrect as it represents a Group 2 element (0 marks) • D is incorrect as it represents a Group 4 element (0 marks)
Question 3 · multiple-choice
1 marks
Which of the following molecules has a trigonal planar shape?
A.\(\text{NH}_3\)
B.\(\text{BF}_3\)
C.\(\text{ClF}_3\)
D.\(\text{PF}_3\)
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Worked solution
The shape of a molecule is determined by the electron pairs surrounding the central atom: - \(\text{NH}_3\): Nitrogen has 5 valence electrons, forms 3 bonding pairs and has 1 lone pair. This gives a trigonal pyramidal shape. - \(\text{BF}_3\): Boron has 3 valence electrons, forms 3 bonding pairs and has 0 lone pairs. This gives a trigonal planar shape. - \(\text{ClF}_3\): Chlorine has 7 valence electrons, forms 3 bonding pairs and has 2 lone pairs. This gives a T-shaped geometry. - \(\text{PF}_3\): Phosphorus has 5 valence electrons, forms 3 bonding pairs and has 1 lone pair. This gives a trigonal pyramidal shape.
Marking scheme
• B is the correct answer (1 mark) • A, C and D are incorrect as they describe molecules with other geometries due to the presence of lone pairs (0 marks)
Question 4 · multiple-choice
1 marks
During the free radical chlorination of methane, which of the following reactions represents a propagation step?
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Worked solution
- Propagation steps always involve a reaction between a stable molecule and a radical to generate a new stable molecule and a new radical. - Reaction A (\(\text{Cl}_2 \rightarrow 2\text{Cl}^\bullet\)) is an initiation step because it produces radicals from a neutral molecule. - Reactions B (\(\text{CH}_3^\bullet + \text{Cl}^\bullet \rightarrow \text{CH}_3\text{Cl}\)) and D (\(\text{CH}_3^\bullet + \text{CH}_3^\bullet \rightarrow \text{C}_2\text{H}_6\)) are termination steps because they combine two radicals to form a stable product. - Reaction C (\(\text{CH}_4 + \text{Cl}^\bullet \rightarrow \text{CH}_3^\bullet + \text{HCl}\)) is a propagation step because a chlorine radical reacts with methane to produce a methyl radical and hydrogen chloride.
Marking scheme
• C is the correct answer (1 mark) • A is incorrect as it is an initiation step (0 marks) • B and D are incorrect as they are termination steps (0 marks)
Question 5 · multiple-choice
1 marks
Which of the following alkenes exhibits geometric (\(E\)/\(Z\)) isomerism?
A.\(\text{2-methylbut-2-ene}\)
B.\(\text{but-1-ene}\)
C.\(\text{1,2-dichloroethene}\)
D.\(\text{2-methylpropene}\)
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Worked solution
For an alkene to exhibit geometric (\(E\)/\(Z\)) isomerism, each carbon atom of the double bond must be attached to two different groups. - In \(\text{2-methylbut-2-ene}\), \((\text{CH}_3)_2\text{C}=\text{CHCH}_3\), one of the carbon atoms in the double bond is bonded to two identical methyl groups, so it cannot show isomerism. - In \(\text{but-1-ene}\), \(\text{CH}_2=\text{CHCH}_2\text{CH}_3\), the terminal carbon is bonded to two identical hydrogen atoms. - In \(\text{1,2-dichloroethene}\), \(\text{CHCl}=\text{CHCl}\), each carbon of the double bond is bonded to a hydrogen atom and a chlorine atom (two different groups), allowing both cis/trans and E/Z stereoisomers. - In \(\text{2-methylpropene}\), \((\text{CH}_3)_2\text{C}=\text{CH}_2\), both double-bonded carbons are bonded to identical groups.
Marking scheme
• C is the correct answer (1 mark) • A, B and D are incorrect because they have at least one double-bonded carbon attached to two identical groups (0 marks)
Question 6 · multiple-choice
1 marks
When \(4.60\text{ g}\) of ethanol (\(\text{C}_2\text{H}_5\text{OH}\), \(\text{M}_r = 46.0\)) is completely oxidised, \(3.30\text{ g}\) of ethanoic acid (\(\text{CH}_3\text{COOH}\), \(\text{M}_r = 60.0\)) is obtained.
What is the percentage yield of ethanoic acid?
A.\(55.0\%\)
B.\(71.7\%\)
C.\(75.0\%\)
D.\(82.5\%\)
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Worked solution
1. Calculate the moles of ethanol reactant: \(\text{moles of ethanol} = \frac{4.60\text{ g}}{46.0\text{ g mol}^{-1}} = 0.100\text{ mol}\)
2. The oxidation equation shows a 1:1 stoichiometry between ethanol and ethanoic acid, so the theoretical yield of ethanoic acid is \(0.100\text{ mol}\).
3. Calculate the theoretical mass of ethanoic acid: \(\text{theoretical mass} = 0.100\text{ mol} \times 60.0\text{ g mol}^{-1} = 6.00\text{ g}\)
• A is the correct answer (1 mark) • B is the percentage if one mistakenly uses actual mass / ethanol reactant mass (0 marks) • C and D are incorrect calculations (0 marks)
Question 7 · multiple-choice
1 marks
Which of the following transition metal ions has the electronic configuration \([\text{Ar}] 3\text{d}^5\)?
A.\(\text{Fe}^{2+}\)
B.\(\text{Fe}^{3+}\)
C.\(\text{Cr}^{3+}\)
D.\(\text{Co}^{3+}\)
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Worked solution
1. The electronic configuration of a neutral iron atom (\(\text{Fe}\), \(Z = 26\)) is \([\text{Ar}] 3\text{d}^6 4\text{s}^2\). 2. When transition metals form cations, they lose electrons from the \(4\text{s}\) subshell first, then the \(3\text{d}\) subshell. 3. For \(\text{Fe}^{3+}\), three electrons are removed: two from \(4\text{s}\) and one from \(3\text{d}\), resulting in \([\text{Ar}] 3\text{d}^5\). - \(\text{Fe}^{2+}\) is \([\text{Ar}] 3\text{d}^6\). - \(\text{Cr}^{3+}\) (from \(\text{Cr} = [\text{Ar}] 3\text{d}^5 4\text{s}^1\)) is \([\text{Ar}] 3\text{d}^3\). - \(\text{Co}^{3+}\) (from \(\text{Co} = [\text{Ar}] 3\text{d}^7 4\text{s}^2\)) is \([\text{Ar}] 3\text{d}^6\).
Marking scheme
• B is the correct answer (1 mark) • A, C and D are incorrect configurations of the given ions (0 marks)
Question 8 · multiple-choice
1 marks
Which of the following compounds has the greatest degree of covalent character?
A.\(\text{LiI}\)
B.\(\text{BeI}_2\)
C.\(\text{BeCl}_2\)
D.\(\text{MgI}_2\)
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Worked solution
The degree of covalent character in an ionic compound is governed by Fajans' rules: 1. Polarization of the anion increases with increasing charge density of the cation (smaller ionic radius, higher charge). 2. Polarization increases with increasing size of the anion, as a larger anion has outer electrons less tightly held by its nucleus (more polarizable).
Comparing the ions: - Cations: \(\text{Be}^{2+}\) has a smaller ionic radius and higher charge than \(\text{Li}^+\) and \(\text{Mg}^{2+}\), giving it the highest charge density and greatest polarizing power. - Anions: \(\text{I}^-\) has a much larger ionic radius than \(\text{Cl}^-\), making it more easily polarized.
Therefore, beryllium iodide, \(\text{BeI}_2\), experiences the greatest polarization of the anion, leading to the greatest degree of covalent character.
Marking scheme
• B is the correct answer (1 mark) • A is incorrect because the lithium ion has less polarizing power than beryllium (0 marks) • C is incorrect because the chloride ion is less polarizable than the iodide ion (0 marks) • D is incorrect because the magnesium ion is larger and less polarizing than the beryllium ion (0 marks)
Question 9 · MCQ
1 marks
A sample of an ideal gas has a volume of \(250\text{ cm}^3\) at a pressure of \(100\text{ kPa}\) and a temperature of \(27^\circ\text{C}\). What is the amount, in moles, of gas present in this sample? (\(R = 8.31\text{ J mol}^{-1}\text{ K}^{-1}\))
A.\(1.00 \times 10^{-2}\text{ mol}\)
B.\(1.11 \times 10^{-1}\text{ mol}\)
C.\(1.00 \times 10^{-5}\text{ mol}\)
D.\(1.00 \times 10^{1}\text{ mol}\)
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Worked solution
To find the number of moles (\(n\)), use the ideal gas equation: \(PV = nRT\). First, convert all values to SI units: Pressure, \(P = 100\text{ kPa} = 1.00 \times 10^5\text{ Pa}\); Volume, \(V = 250\text{ cm}^3 = 2.50 \times 10^{-4}\text{ m}^3\); Temperature, \(T = 27 + 273 = 300\text{ K}\). Rearranging the equation for \(n\): \(n = \frac{PV}{RT} = \frac{1.00 \times 10^5 \times 2.50 \times 10^{-4}}{8.31 \times 300} = \frac{25.0}{2493} \approx 1.00 \times 10^{-2}\text{ mol}\).
Marking scheme
Correct option is A (1 mark). Option B is obtained by failing to convert temperature to Kelvin. Option C is obtained by failing to convert volume to \(\text{m}^3\) correctly. Option D is obtained by failing to convert both volume and pressure correctly.
Question 10 · MCQ
1 marks
Which of the following species has the electronic configuration \(1s^2 2s^2 2p^6 3s^2 3p^6\)?
A.\(\text{S}^-\)
B.\(\text{K}^+\)
C.\(\text{Ar}^+\)
D.\(\text{Sc}^{2+}\)
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Worked solution
An electronic configuration of \(1s^2 2s^2 2p^6 3s^2 3p^6\) represents a species with a total of 18 electrons. \(\text{S}^-\)\ has 17 electrons. \(\text{K}^+\)\ has 18 electrons, which gives it this noble gas configuration. \(\text{Ar}^+\)\ has 17 electrons. \(\text{Sc}^{2+}\)\ has 19 electrons with configuration \(1s^2 2s^2 2p^6 3s^2 3p^6 3d^1\).
Marking scheme
Correct option is B (1 mark). Other options represent species with different numbers of electrons.
Question 11 · MCQ
1 marks
Which of the following bonds is the most polar?
A.\(\text{C}-\text{F}\)
B.\(\text{N}-\text{F}\)
C.\(\text{O}-\text{F}\)
D.\(\text{F}-\text{F}\)
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Worked solution
Bond polarity is determined by the difference in electronegativity between the two bonded atoms. Electronegativity increases across Period 2 from carbon to fluorine (\(\text{C} < \text{N} < \text{O} < \text{F}\)). Therefore, the electronegativity difference is greatest for the \(\text{C}-\text{F}\) bond, making it the most polar.
Marking scheme
Correct option is A (1 mark). Other options have smaller electronegativity differences as the elements are closer to fluorine in the periodic table.
Question 12 · MCQ
1 marks
A sample of neon consists of three isotopes with the following abundances: \({}^{20}\text{Ne}\) (\(90.48\%\)), \({}^{21}\text{Ne}\) (\(0.27\%\)), and \({}^{22}\text{Ne}\) (\(9.25\%\)). What is the relative atomic mass of this sample of neon to two decimal places?
A.\(20.18\)
B.\(20.19\)
C.\(20.20\)
D.\(21.00\)
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Worked solution
The relative atomic mass (\(A_r\)) is the weighted average of the isotopic masses: \(A_r = \frac{(20 \times 90.48) + (21 \times 0.27) + (22 \times 9.25)}{100} = \frac{1809.60 + 5.67 + 203.50}{100} = 20.1877\). Rounding to two decimal places gives 20.19.
Marking scheme
Correct option is B (1 mark). Option A is incorrect rounding; Option D is a simple average of the mass numbers.
Question 13 · MCQ
1 marks
In the free-radical chlorination of methane, which of the following equations represents a propagation step?
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Worked solution
A propagation step must involve a free radical reacting with a stable molecule to produce a new free radical and a new stable molecule. \(\text{CH}_4 + \text{Cl}^\bullet \rightarrow \text{CH}_3^\bullet + \text{HCl}\) fits this definition. Option A is initiation, while options C and D are termination steps where two radicals combine to form a stable molecule.
Marking scheme
Correct option is B (1 mark). A is initiation; C and D are termination.
Question 14 · MCQ
1 marks
When propene reacts with hydrogen bromide, \(\text{HBr}\), the major organic product is 2-bromopropane. Which of the following statements explains this observation?
A.The secondary carbocation intermediate is more stable than the primary carbocation intermediate.
B.The primary carbocation intermediate is more stable than the secondary carbocation intermediate.
C.Bromine atoms preferentially attack the carbon atom with fewer hydrogen atoms.
D.Propene has a symmetric double bond which favors 2-bromopropane.
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Worked solution
The reaction of propene with \(\text{HBr}\) proceeds via electrophilic addition. The addition of a proton (\(\text{H}^+\)) can form either a primary carbocation or a secondary carbocation. The secondary carbocation is more stable because the two electron-releasing alkyl groups reduce the charge density on the positive carbon atom (inductive effect). Thus, the reaction proceeds predominantly through the secondary carbocation to form 2-bromopropane as the major product.
Marking scheme
Correct option is A (1 mark). B is incorrect as secondary is more stable than primary; C is incorrect terminology and mechanism; D is incorrect because propene is unsymmetrical.
Question 15 · MCQ
1 marks
What is the percentage atom economy by mass for the production of ethanol in the following fermentation reaction? \(\text{C}_6\text{H}_{12}\text{O}_6 \rightarrow 2\text{C}_2\text{H}_5\text{OH} + 2\text{CO}_2\) [Molar masses: \(\text{C}_6\text{H}_{12}\text{O}_6 = 180.0\text{ g mol}^{-1}\); \(\text{C}_2\text{H}_5\text{OH} = 46.0\text{ g mol}^{-1}\); \(\text{CO}_2 = 44.0\text{ g mol}^{-1}\)]
A.\(25.6\%\)
B.\(48.9\%\)
C.\(51.1\%\)
D.\(67.6\%\)
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Worked solution
Atom economy is calculated using the formula: Atom Economy = (Mass of desired product / Total mass of all reactants) x 100%. The desired product is ethanol. From the equation, 1 mol of glucose (180.0 g) produces 2 mol of ethanol (2 x 46.0 g = 92.0 g). Atom Economy = (92.0 / 180.0) x 100% = 51.11%.
Marking scheme
Correct option is C (1 mark). Option A is obtained if the stoichiometry of 2 for ethanol is omitted. Option B is the atom economy for CO2. Option D is obtained by omitting the stoichiometry of CO2 in the products.
Question 16 · MCQ
1 marks
Which of the following pairs of elements shows a decrease in first ionization energy from the first element to the second?
A.\(\text{Na}\) and \(\text{Mg}\)
B.\(\text{Mg}\) and \(\text{Al}\)
C.\(\text{Si}\) and \(\text{P}\)
D.\(\text{S}\) and \(\text{Cl}\)
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Worked solution
Generally, first ionization energy increases across Period 3. However, there is a dip from magnesium (Mg) to aluminium (Al). The outer electron of Al is in the 3p subshell, which is higher in energy and better shielded than the 3s subshell of Mg, making it easier to remove.
Marking scheme
Correct option is B (1 mark). All other pairs show an increase in first ionization energy.
Question 17 · multiple-choice
1 marks
An excess of magnesium carbonate, \(\text{MgCO}_3\), is added to \(25.0\text{ cm}^3\) of \(0.400\text{ mol dm}^{-3}\) hydrochloric acid, \(\text{HCl}\). What volume of carbon dioxide gas, in \(\text{cm}^3\), is produced at room temperature and pressure (RTP)? (1 mol of gas at RTP occupies \(24.0\text{ dm}^3\))
A.60
B.120
C.240
D.480 rollers/distributors and moles calculated incorrectly are distractors based on stoichiometry errors, e.g., not dividing moles of HCl by 2 (240) or dividing by 4 (60).
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Worked solution
First, write the balanced equation for the reaction: \(\text{MgCO}_3(\text{s}) + 2\text{HCl}(\text{aq}) \rightarrow \text{MgCl}_2(\text{aq}) + \text{CO}_2(\text{g}) + \text{H}_2\text{O}(\text{l})\). Moles of \(\text{HCl} = 0.0250 \times 0.400 = 0.0100\text{ mol}\). Since \(\text{MgCO}_3\) is in excess, \(\text{HCl}\) is the limiting reactant. From the stoichiometry of the equation, 2 moles of \(\text{HCl}\) produce 1 mole of \(\text{CO}_2\). Therefore, moles of \(\text{CO}_2\) produced = \(0.0100 / 2 = 0.00500\text{ mol}\). Volume of \(\text{CO}_2\) produced = \(0.00500\text{ mol} \times 24000\text{ cm}^3\text{ mol}^{-1} = 120\text{ cm}^3\).
Marking scheme
Award 1 mark for the correct option B. [AO1, AO2]
Question 18 · multiple-choice
1 marks
The first four successive ionisation energies of an element, \(\text{Y}\), are 578, 1817, 2745, and 11578 \(\text{kJ mol}^{-1}\) respectively. In which group of the Periodic Table is element \(\text{Y}\)?
A.Group 1
B.Group 2
C.Group 3
D.Group 4
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Worked solution
There is a massive increase in energy between the 3rd and 4th ionisation energies (from 2745 to 11578 \(\text{kJ mol}^{-1}\)). This indicates that the fourth electron is removed from an inner shell which is closer to the nucleus and experiences much stronger electrostatic attraction. Therefore, element \(\text{Y}\) has three electrons in its outer shell and is in Group 3.
Marking scheme
Award 1 mark for the correct option C. [AO1, AO2]
Question 19 · multiple-choice
1 marks
Which of the following equations represents a propagation step in the free radical substitution reaction between ethane and chlorine in the presence of ultraviolet radiation?
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Worked solution
Option A is the initiation step, which involves the homolytic fission of chlorine. Option B is a propagation step where a chlorine radical reacts with an ethane molecule to produce an ethyl radical and hydrogen chloride gas. Options C and D are termination steps where two free radicals combine to form a stable molecule.
Marking scheme
Award 1 mark for the correct option B. [AO1, AO2]
Question 20 · multiple-choice
1 marks
Which of the following alkenes is capable of exhibiting stereoisomerism (geometric/trans-cis isomerism)?
A.propene
B.but-1-ene
C.2-methylbut-2-ene
D.pent-2-ene
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Worked solution
For an alkene to show stereoisomerism, both of the carbon atoms in the double bond must be attached to two different groups. In pent-2-ene, carbon-2 is attached to \(-\text{H}\) and \(-\text{CH}_3\), and carbon-3 is attached to \(-\text{H}\) and \(-\text{CH}_2\text{CH}_3\). Thus, it has stereoisomers (E/Z or cis/trans). In all other options, at least one of the double-bonded carbon atoms has two identical groups (H atoms in propene and but-1-ene, and methyl groups in 2-methylbut-2-ene).
Marking scheme
Award 1 mark for the correct option D. [AO1, AO2]
WCH11/01 Unit 1 Section B
Answer all questions in the spaces provided.
4 Question · 60 marks
Question 1 · Structured
15 marks
This question is about the analysis of a group 1 metal carbonate, \(\text{M}_2\text{CO}_3\), and its hydrated form, \(\text{M}_2\text{CO}_3 \cdot x\text{H}_2\text{O}\).
(a) A student dissolved \(2.10\text{ g}\) of a pure sample of anhydrous group 1 metal carbonate, \(\text{M}_2\text{CO}_3\), in distilled water and made the solution up to \(250\text{ cm}^3\) in a volumetric flask. A \(25.0\text{ cm}^3\) sample of this solution was titrated against \(0.100\text{ mol dm}^{-3}\) hydrochloric acid, \(\text{HCl}\). The mean titre obtained was \(30.40\text{ cm}^3\).
(i) Write a chemical equation for the reaction of \(\text{M}_2\text{CO}_3\) with \(\text{HCl}\). Include state symbols. [2] (ii) Calculate the number of moles of \(\text{HCl}\) used in the titration. [1] (iii) Determine the number of moles of \(\text{M}_2\text{CO}_3\) present in the original \(250\text{ cm}^3\) volumetric flask. [2] (iv) Calculate the molar mass of \(\text{M}_2\text{CO}_3\) and hence identify the metal M. Show your working. [4]
(b) In a separate experiment, a student heated a \(3.484\text{ g}\) sample of the hydrated metal carbonate, \(\text{M}_2\text{CO}_3 \cdot x\text{H}_2\text{O}\), in a crucible to constant mass. The final mass of the anhydrous residue obtained was \(2.764\text{ g}\). (i) Calculate the value of \(x\) in the formula of the hydrated carbonate. Show your working. [4] (ii) Explain why the crucible and its contents must be heated to 'constant mass' in this experiment. [2]
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Worked solution
Part (a) (i) \(\text{M}_2\text{CO}_3(\text{aq}) + 2\text{HCl}(\text{aq}) \rightarrow 2\text{MCl}(\text{aq}) + \text{CO}_2(\text{g}) + \text{H}_2\text{O}(\text{l})\) (ii) \(\text{Moles of HCl} = 0.03040\text{ dm}^3 \times 0.100\text{ mol dm}^{-3} = 3.04 \times 10^{-3}\text{ mol}\) (iii) Moles of \(\text{M}_2\text{CO}_3\) in \(25.0\text{ cm}^3 = 3.04 \times 10^{-3} / 2 = 1.52 \times 10^{-3}\text{ mol}\). Moles of \(\text{M}_2\text{CO}_3\) in \(250\text{ cm}^3 = 1.52 \times 10^{-3} \times 10 = 0.0152\text{ mol}\). (iv) Molar mass of \(\text{M}_2\text{CO}_3 = \text{mass} / \text{moles} = 2.10\text{ g} / 0.0152\text{ mol} = 138.16\text{ g mol}^{-1}\). \(2 \times A_r(\text{M}) + 12.0 + 48.0 = 138.2 \implies 2 \times A_r(\text{M}) = 78.2 \implies A_r(\text{M}) = 39.1\text{ g mol}^{-1}\). From the Periodic Table, the group 1 metal is Potassium (\(\text{K}\)).
Part (b) (i) Mass of water lost = \(3.484\text{ g} - 2.764\text{ g} = 0.720\text{ g}\). Moles of water = \(0.720\text{ g} / 18.0\text{ g mol}^{-1} = 0.0400\text{ mol}\). Moles of anhydrous carbonate \(\text{K}_2\text{CO}_3 = 2.764\text{ g} / 138.2\text{ g mol}^{-1} = 0.0200\text{ mol}\). Ratio of \(\text{H}_2\text{O} : \text{K}_2\text{CO}_3 = 0.0400 / 0.0200 = 2\). Thus, \(x = 2\). (ii) Heating to constant mass ensures that all the water of crystallization has been completely driven off and the reaction is finished. This is confirmed by heating, cooling, weighing, and repeating until two consecutive weights are identical.
Marking scheme
Part (a) (i) [2 marks]: 1 mark for balanced equation with correct formulas, 1 mark for all correct state symbols. (ii) [1 mark]: \(3.04 \times 10^{-3}\text{ mol}\). (iii) [2 marks]: 1 mark for moles in \(25.0\text{ cm}^3 = 1.52 \times 10^{-3}\text{ mol}\), 1 mark for scaling up by 10 to get \(0.0152\text{ mol}\) in \(250\text{ cm}^3\). (iv) [4 marks]: 1 mark for dividing 2.10 by their calculated moles, 1 mark for molar mass of \(138.2\text{ g mol}^{-1}\), 1 mark for calculating \(A_r = 39.1\), 1 mark for identifying Potassium (\(\text{K}\)).
Part (b) (i) [4 marks]: 1 mark for mass of water = \(0.720\text{ g}\), 1 mark for moles of water = \(0.0400\text{ mol}\), 1 mark for moles of anhydrous salt = \(0.0200\text{ mol}\), 1 mark for the ratio and deducing \(x = 2\). (ii) [2 marks]: 1 mark for ensuring all water of crystallization has been removed, 1 mark for explaining that it involves repeating the heating/weighing process until successive masses remain the same.
Question 2 · Structured
15 marks
This question is about atomic structure, isotopes, and ionization energies.
(a) A sample of magnesium was analysed using a mass spectrometer and found to contain three isotopes: \(^{24}\text{Mg}\) (abundance \(78.99\%\)), \(^{25}\text{Mg}\) (abundance \(10.00\%\)), and \(^{26}\text{Mg}\) (abundance \(11.01\%\)). (i) Define the term 'relative isotopic mass'. [2] (ii) Calculate the relative atomic mass of this magnesium sample. Give your answer to two decimal places. [2]
(b) Successive ionization energies provide key experimental evidence for electronic structure. (i) Write an equation, including state symbols, to represent the third ionization energy of magnesium. [2] (ii) Describe the trend in the successive ionization energies of magnesium as more electrons are removed, and explain how this trend provides evidence for the electronic configuration of magnesium. [5]
(c) Write the full electronic configuration of the magnesium ion, \(\text{Mg}^{2+}\), using s, p, d notation. Identify the noble gas that is isoelectronic with \(\text{Mg}^{2+}\). [2]
(d) Explain why the first ionization energy of sulfur is lower than that of phosphorus, despite sulfur having a greater nuclear charge. [2]
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Worked solution
Part (a) (i) Relative isotopic mass is the mass of an individual atom of an isotope relative to \(1/12\)th of the mass of a carbon-12 atom. (ii) \(\text{Relative atomic mass} = \frac{(24 \times 78.99) + (25 \times 10.00) + (26 \times 11.01)}{100} = \frac{1895.76 + 250.00 + 286.26}{100} = 24.32\).
Part (b) (i) \(\text{Mg}^{2+}(\text{g}) \rightarrow \text{Mg}^{3+}(\text{g}) + \text{e}^{-}\) (ii) Successive ionization energies show a general increase because as each electron is removed, the remaining electrons experience a stronger pull from the nucleus. There is a small jump from the first to the second ionization energy, and then a very large jump from the second to the third ionization energy. This large jump indicates that the third electron is being removed from an inner quantum shell (closer to the nucleus, with significantly less shielding), providing evidence that there are 2 valence electrons and the configuration is 2, 8, 2.
Part (c) - Electronic configuration of \(\text{Mg}^{2+}\): \(1\text{s}^2 2\text{s}^2 2\text{p}^6\). - Isoelectronic noble gas: Neon (\(\text{Ne}\)).
Part (d) Phosphorus has the outer configuration \(3\text{s}^2 3\text{p}^3\) with three singly-occupied orbitals. Sulfur has the configuration \(3\text{s}^2 3\text{p}^4\) with one paired set of electrons in a 3p orbital. The repulsion between these paired electrons (spin-pair repulsion) in sulfur makes it easier to remove its outer electron than the single electron in phosphorus, overriding the increase in nuclear charge.
Marking scheme
Part (a) (i) [2 marks]: 1 mark for mass of an atom of an isotope, 1 mark for relative to \(1/12\)th of the mass of carbon-12. (ii) [2 marks]: 1 mark for correct mathematical setup, 1 mark for final calculated value of 24.32 (to 2 decimal places).
Part (b) (i) [2 marks]: 1 mark for correct species and balancing (\(\text{Mg}^{2+} \rightarrow \text{Mg}^{3+} + \text{e}^{-}\)), 1 mark for correct gas state symbols \((\text{g})\) on both magnesium species. (ii) [5 marks]: 1 mark for stating that ionization energy increases generally as more electrons are removed, 1 mark for identifying the large jump between the 2nd and 3rd ionization energies, 1 mark for explaining that the third electron is removed from a shell closer to the nucleus, 1 mark for mentioning the effect of decreased shielding, 1 mark for concluding this confirms 2 electrons in the outermost shell.
Part (c) [2 marks]: 1 mark for \(1\text{s}^2 2\text{s}^2 2\text{p}^6\), 1 mark for identifying Neon.
Part (d) [2 marks]: 1 mark for noting that sulfur has paired electrons in a 3p orbital, 1 mark for explaining that the repulsion between these paired electrons (spin-pair repulsion) makes the electron easier to remove.
Question 3 · Structured
15 marks
This question is about molecular shapes, bonding, and structures.
(a) Diamond and graphite are both macromolecular (giant covalent) allotropes of carbon. Graphene is a more recently isolated allotrope of carbon. (i) Explain why graphite is a good electrical conductor, whereas diamond is an electrical insulator. Your answer should refer to the bonding and structure of both allotropes. [3] (ii) State one similarity and one difference between the structures of graphite and graphene. [2]
(b) Phosgene, \(\text{COCl}_2\), is a toxic gas. (i) Draw a dot-and-cross diagram to show the bonding in a molecule of \(\text{COCl}_2\). Show outer-shell electrons only. [2] (ii) Predict the shape and the bond angle around the carbon atom in phosgene. Explain your answer using Electron Pair Repulsion Theory. [4]
(c) Carbon forms many tetrahalides. Tetrachloromethane, \(\text{CCl}_4\), and dichloromethane, \(\text{CH}_2\text{Cl}_2\), contain polar bonds. Explain why dichloromethane is a polar molecule but tetrachloromethane is a non-polar molecule. [4]
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Worked solution
Part (a) (i) In graphite, each carbon atom is covalently bonded to three others, leaving one delocalized electron per carbon atom. These delocalized electrons are free to move throughout the layers and conduct electricity. In diamond, each carbon is bonded to four others in a giant tetrahedral structure. All electrons are localized in covalent bonds, so diamond cannot conduct electricity. (ii) Similarity: Both have carbon atoms covalently bonded to three other carbons in hexagonal rings. Difference: Graphite is made of multiple stacked layers held together by weak intermolecular forces, while graphene is a single, one-atom-thick layer.
Part (b) (i) The central carbon forms a double bond with oxygen (four shared electrons: two from C, two from O) and two single bonds with each chlorine (each chlorine shares two electrons: one from C, one from Cl). Carbon has zero lone pairs, oxygen has two lone pairs, and each chlorine has three lone pairs. (ii) Shape: Trigonal planar. Bond angle: approximately \(120^\circ\) (accept values in the range \(111^\circ\) to \(120^\circ\)). Explanation: The central carbon atom has three regions of electron density (one double bond, two single bonds) and no lone pairs. To minimize repulsion, these three regions push as far apart as possible, leading to a trigonal planar arrangement.
Part (c) Chlorine is more electronegative than carbon, creating polar bonds with dipoles pointing towards chlorine. \(\text{CCl}_4\) is symmetrical (tetrahedral), so the individual bond dipoles point in opposite directions and cancel out, giving no net molecular dipole. \(\text{CH}_2\text{Cl}_2\) is asymmetrical, meaning the individual bond dipoles do not cancel, resulting in a net molecular dipole.
Marking scheme
Part (a) (i) [3 marks]: 1 mark for stating graphite has delocalized electrons that are free to move, 1 mark for diamond having 4 covalent bonds per carbon, 1 mark for explaining diamond has no free/delocalized electrons. (ii) [2 marks]: 1 mark for similarity (hexagonal rings / three bonds per carbon), 1 mark for difference (graphene is a single layer, graphite has multiple layers).
Part (b) (i) [2 marks]: 1 mark for correct double bond to O and single bonds to Cl, 1 mark for showing all correct non-bonding pairs on O (4 electrons) and Cl (6 electrons on each). (ii) [4 marks]: 1 mark for Trigonal planar, 1 mark for bond angle of \(120^\circ\) (or range \(111^\circ\) to \(120^\circ\)), 1 mark for stating carbon has 3 regions of electron density and no lone pairs, 1 mark for explaining that regions of electron density repel to achieve minimum repulsion.
Part (c) [4 marks]: 1 mark for noting chlorine is more electronegative than carbon, 1 mark for stating \(\text{CCl}_4\) is symmetrical, 1 mark for stating that the dipoles in \(\text{CCl}_4\) cancel, 1 mark for explaining that \(\text{CH}_2\text{Cl}_2\) is asymmetrical so its dipoles do not cancel.
Question 4 · Structured
15 marks
This question is about organic chemistry reactions, specifically involving alkenes and alkanes.
(a) Alkenes are unsaturated hydrocarbons that undergo addition reactions. (i) But-2-ene, \(\text{CH}_3\text{CH}=\text{CHCH}_3\), exhibits stereoisomerism. Draw the skeletal structures of both (E)-but-2-ene and (Z)-but-2-ene, clearly labelling each. Explain why stereoisomerism occurs in this molecule. [4] (ii) But-2-ene reacts with hydrogen bromide, \(\text{HBr}\). Draw the mechanism for this reaction. Use curly arrows to show the movement of electron pairs, and show any relevant dipoles, partial charges, and lone pairs. [4]
(b) Alkanes react with halogens via free-radical substitution. (i) State the role of ultraviolet (UV) radiation in initiating the reaction between methane, \(\text{CH}_4\), and chlorine, \(\text{Cl}_2\). [1] (ii) Write equations for the initiation, propagation (two steps), and one termination step for the monosubstitution reaction of methane with chlorine. [4] (iii) Suggest why a small quantity of ethane, \(\text{C}_2\text{H}_6\), is always formed as an impurity in this reaction. Support your answer with an equation. [2]
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Worked solution
Part (a) (i) (E)-but-2-ene is drawn as a linear zig-zag skeletal structure with methyl groups opposite. (Z)-but-2-ene is drawn as a U-shaped skeletal structure with methyl groups on the same side of the double bond. This stereoisomerism occurs because of the restricted rotation about the \(\text{C}=\text{C}\) double bond (due to the \(\pi\) bond) and because each carbon atom of the double bond is attached to two different groups (a methyl group and a hydrogen atom). (ii) In the first step, a curly arrow goes from the double bond of but-2-ene to the \(\text{H}\) of \(\text{H}-\text{Br}\). The \(\text{H}-\text{Br}\) bond has a dipole with \(\delta+\) on \(\text{H}\) and \(\delta-\) on \(\text{Br}\). Another curly arrow goes from the \(\text{H}-\text{Br}\) bond to the \(\text{Br}\) atom. This forms a secondary carbocation intermediate (\(\text{CH}_3\text{CH}^+\text{CH}_2\text{CH}_3\)) and a bromide ion (\(\text{Br}^-\)). In the second step, a curly arrow goes from a lone pair on \(\text{Br}^-\) to the carbocation carbon to form the product 2-bromobutane.
Part (b) (i) UV radiation provides the energy required for the homolytic fission of the chlorine-chlorine bond to form chlorine free radicals. (ii) - Initiation: \(\text{Cl}_2 \rightarrow 2\text{Cl}^\bullet\) - Propagation 1: \(\text{CH}_4 + \text{Cl}^\bullet \rightarrow {}^\bullet\text{CH}_3 + \text{HCl}\) - Propagation 2: \({}^\bullet\text{CH}_3 + \text{Cl}_2 \rightarrow \text{CH}_3\text{Cl} + \text{Cl}^\bullet\) - Termination: \(2\text{Cl}^\bullet \rightarrow \text{Cl}_2\) or \({}^\bullet\text{CH}_3 + \text{Cl}^\bullet \rightarrow \text{CH}_3\text{Cl}\) or \(2{}^\bullet\text{CH}_3 \rightarrow \text{C}_2\text{H}_6\). (iii) Ethane is formed during a termination step where two methyl radicals (\({}^\bullet\text{CH}_3\)) collide and combine: \(2{}^\bullet\text{CH}_3 \rightarrow \text{C}_2\text{H}_6\).
Marking scheme
Part (a) (i) [4 marks]: 1 mark for correct skeletal drawing of (E)-but-2-ene, 1 mark for correct skeletal drawing of (Z)-but-2-ene, 1 mark for explaining restricted rotation about the carbon-carbon double bond, 1 mark for stating that both carbons of the double bond have two different groups attached. (ii) [4 marks]: 1 mark for arrow from double bond to \(\text{H}\) and arrow from \(\text{H}-\text{Br}\) bond to \(\text{Br}\), 1 mark for showing \(\delta+\) on \(\text{H}\) and \(\delta-\) on \(\text{Br}\), 1 mark for drawing the carbocation intermediate and \(\text{Br}^-\), 1 mark for arrow from lone pair of \(\text{Br}^-\) to carbon containing the positive charge.
Part (b) (i) [1 mark]: Homolytic fission of the \(\text{Cl}-\text{Cl}\) bond / to create chlorine free radicals. (ii) [4 marks]: 1 mark for correct initiation step, 1 mark for first propagation step, 1 mark for second propagation step, 1 mark for any correct termination step. (Radical dots are required for marks). (iii) [2 marks]: 1 mark for explaining that methyl radicals combine, 1 mark for the equation: \(2{}^\bullet\text{CH}_3 \rightarrow \text{C}_2\text{H}_6\).
WCH12/01 Unit 2 Section A
Answer all multiple choice questions by placing a cross in the box.
20 Question · 20 marks
Question 1 · Multiple Choice
1 marks
Which of the following shows the correct order of increasing boiling temperatures of the hydrogen halides and the correct explanation?
A.\( \text{HF} < \text{HCl} < \text{HBr} < \text{HI} \) because the number of electrons increases down the group.
B.\( \text{HCl} < \text{HBr} < \text{HI} < \text{HF} \) because HF has hydrogen bonding, while from HCl to HI the strength of London forces increases.
C.\( \text{HI} < \text{HBr} < \text{HCl} < \text{HF} \) because permanent dipole-dipole attractions increase as electronegativity difference increases.
D.\( \text{HCl} < \text{HF} < \text{HBr} < \text{HI} \) because hydrogen bonding in HF is weaker than the London forces in HI.
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Worked solution
HF has hydrogen bonding between its molecules, which is the strongest type of intermolecular force, giving it the highest boiling temperature. For HCl, HBr, and HI, the dominant intermolecular forces are London forces, which increase in strength as the number of electrons in the halogen atom increases from Cl to I. Therefore, the boiling temperature increases from HCl to HI, with HF having the highest overall boiling temperature. The correct order is \( \text{HCl} < \text{HBr} < \text{HI} < \text{HF} \).
Marking scheme
1 mark: Correctly identifies the order and the underlying chemical principles (hydrogen bonding in HF and increasing London forces from HCl to HI).
Question 2 · Multiple Choice
1 marks
Which of the following is the correct explanation for why calcium nitrate, \( \text{Ca(NO}_3)_2 \), decomposes at a higher temperature than magnesium nitrate, \( \text{Mg(NO}_3)_2 \)?
A.The calcium ion is smaller and has a higher charge density, so it polarises the nitrate ion more strongly.
B.The calcium ion has a lower charge density and polarises the nitrate ion less strongly, weakening the N–O bond less.
C.The calcium ion has a higher charge density and polarises the nitrate ion more strongly, making the nitrate ion more stable.
D.The calcium ion is larger, so it polarises the nitrate ion more strongly, making the nitrate ion more stable.
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Worked solution
Going down Group 2, ionic radius increases while ionic charge remains 2+. This means the charge density of the cation decreases from \( \text{Mg}^{2+} \) to \( \text{Ca}^{2+} \). Consequently, \( \text{Ca}^{2+} \) has a lower polarising power and polarises the electron cloud of the nitrate ion less strongly, causing less weakening of the covalent N–O bonds within the nitrate group. Thus, calcium nitrate is more thermally stable and requires a higher temperature to decompose.
Marking scheme
1 mark: Correctly identifies the relation between lower charge density, weaker polarization of the anion, and greater thermal stability.
Question 3 · Multiple Choice
1 marks
The standard enthalpy changes of combustion, \( \Delta_c H^\theta \), for carbon, hydrogen, and ethanol are given below: \( \text{C}(s) = -393.5\text{ kJ mol}^{-1} \); \( \text{H}_2(g) = -285.8\text{ kJ mol}^{-1} \); \( \text{C}_2\text{H}_5\text{OH}(l) = -1367.3\text{ kJ mol}^{-1} \). What is the standard enthalpy change of formation, \( \Delta_f H^\theta \), of ethanol, \( \text{C}_2\text{H}_5\text{OH}(l) \), in \( \text{kJ mol}^{-1} \)?
A.-277.1
B.-688.0
C.+277.1
D.+688.0
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Worked solution
The equation for the standard enthalpy of formation of ethanol is: \( 2\text{C}(s) + 3\text{H}_2(g) + \frac{1}{2}\text{O}_2(g) \rightarrow \text{C}_2\text{H}_5\text{OH}(l) \). Using a Hess cycle with enthalpies of combustion: \( \Delta_f H^\theta = \sum \Delta_c H^\theta (\text{reactants}) - \sum \Delta_c H^\theta (\text{products}) \). Thus, \( \Delta_f H^\theta = [2 \times (-393.5) + 3 \times (-285.8)] - [-1367.3] = [-787.0 - 857.4] + 1367.3 = -1644.4 + 1367.3 = -277.1\text{ kJ mol}^{-1} \).
Marking scheme
1 mark: Correct calculation of the enthalpy of formation with appropriate stoichiometry and sign.
Question 4 · Multiple Choice
1 marks
Which of the following halogenoalkanes reacts the fastest when heated with aqueous silver nitrate in ethanol, and what is the color of the precipitate formed?
A.1-chlorobutane, forming a white precipitate
B.1-bromobutane, forming a cream precipitate
C.1-iodobutane, forming a yellow precipitate
D.1-iodobutane, forming a cream precipitate
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Worked solution
The rate of hydrolysis of halogenoalkanes depends on the strength of the carbon-halogen bond. The C–I bond is the longest and has the lowest bond enthalpy compared to C–Br and C–Cl, meaning it is broken most easily. Therefore, 1-iodobutane reacts the fastest. The silver halide precipitate formed with iodide ions is silver iodide, \( \text{AgI} \), which is a yellow solid.
Marking scheme
1 mark: Correctly identifies the fastest reacting halogenoalkane and the correct color of its silver halide precipitate.
Question 5 · Multiple Choice
1 marks
When a catalyst is added to a reaction mixture at a constant temperature, how do the activation energy, \(E_a\), and the Maxwell-Boltzmann distribution curve of molecular energies change?
A.\(E_a\) decreases, and the peak of the distribution curve shifts to the right.
B.\(E_a\) decreases, and the distribution curve remains unchanged.
C.\(E_a\) remains unchanged, but the distribution curve shifts to the left.
D.\(E_a\) decreases, and the area under the distribution curve increases.
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Worked solution
A catalyst provides an alternative reaction pathway with a lower activation energy, which decreases the required activation energy (\(E_a\) decreases). However, since the temperature of the system is held constant, the distribution of kinetic energies of the gas molecules remains unchanged, meaning the Maxwell-Boltzmann distribution curve is unaffected.
Marking scheme
1 mark: Correctly identifies that activation energy decreases and the Maxwell-Boltzmann distribution curve is unchanged.
Question 6 · Multiple Choice
1 marks
When solid potassium iodide reacts with concentrated sulfuric acid, several products are formed. Which of the following lists only the reduction products of sulfuric acid from this reaction?
A.\( \text{I}_2, \text{S}, \text{H}_2\text{S} \)
B.\( \text{SO}_2, \text{S}, \text{H}_2\text{S} \)
C.\( \text{KHSO}_4, \text{SO}_2, \text{I}_2 \)
D.\( \text{HI}, \text{SO}_2, \text{S} \)
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Worked solution
Concentrated sulfuric acid acts as an oxidising agent. Iodide ions are strong reducing agents and reduce sulfuric acid (where sulfur is in the +6 state) to a mixture of sulfur dioxide, \( \text{SO}_2 \) (+4 state), sulfur, \( \text{S} \) (0 state), and hydrogen sulfide, \( \text{H}_2\text{S} \) (-2 state). Iodine, \( \text{I}_2 \), is an oxidation product of iodide, whereas \( \text{KHSO}_4 \) and \( \text{HI} \) are products of the non-redox acid-base reaction.
Marking scheme
1 mark: Correctly identifies the reduction products of sulfuric acid.
Question 7 · Multiple Choice
1 marks
An organic compound, Y, is heated under reflux with excess acidified potassium dichromate(VI) to form compound Z. The infrared spectrum of Z shows a strong, sharp absorption peak at \( 1715\text{ cm}^{-1} \) but no broad absorption peak in the range \( 2500 - 3300\text{ cm}^{-1} \). What is the identity of Y?
A.Propan-1-ol
B.Propan-2-ol
C.Methylpropan-2-ol
D.Propanal
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Worked solution
The sharp IR peak at \( 1715\text{ cm}^{-1} \) indicates a carbonyl group (\( \text{C}=\text{O} \)). The absence of a broad peak in the range \( 2500 - 3300\text{ cm}^{-1} \) shows that no carboxylic acid is present. Heating a secondary alcohol (propan-2-ol) under reflux with acidified potassium dichromate(VI) oxidises it to a ketone (propanone), which matches these spectral properties. A primary alcohol (propan-1-ol) would oxidise under reflux to a carboxylic acid (propanoic acid), which would show a broad O-H absorption. Tertiary alcohols (methylpropan-2-ol) are resistant to oxidation.
Marking scheme
1 mark: Correctly matches the spectral data of the oxidized product to the secondary alcohol starting material.
Question 8 · Multiple Choice
1 marks
Bromoethane is prepared in the laboratory by reacting ethanol with sodium bromide and concentrated sulfuric acid according to the equation: \( \text{C}_2\text{H}_5\text{OH} + \text{NaBr} + \text{H}_2\text{SO}_4 \rightarrow \text{C}_2\text{H}_5\text{Br} + \text{NaHSO}_4 + \text{H}_2\text{O} \). What is the percentage atom economy by mass for the production of bromoethane in this reaction? [Molar masses: \( \text{C}_2\text{H}_5\text{OH} = 46.0\text{ g mol}^{-1} \); \( \text{NaBr} = 102.9\text{ g mol}^{-1} \); \( \text{H}_2\text{SO}_4 = 98.1\text{ g mol}^{-1} \); \( \text{C}_2\text{H}_5\text{Br} = 108.9\text{ g mol}^{-1} \)]
A.44.1%
B.73.1%
C.75.6%
D.78.9%
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Worked solution
Percentage Atom Economy is given by \( \frac{\text{Molar mass of desired product}}{\text{Total molar mass of reactants}} \times 100\% \). Desired product is bromoethane, \( M = 108.9\text{ g mol}^{-1} \). Total mass of reactants = \( 46.0 + 102.9 + 98.1 = 247.0\text{ g mol}^{-1} \). Atom economy = \( \frac{108.9}{247.0} \times 100\% = 44.09\% \approx 44.1\% \).
Marking scheme
1 mark: Correctly calculates percentage atom economy by mass using reactant stoichiometry.
Question 9 · Multiple Choice
1 marks
Which of the following lists the hydrogen halides in order of increasing boiling temperature?
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Worked solution
Hydrogen fluoride (HF) has the highest boiling temperature due to strong intermolecular hydrogen bonding, which requires significant energy to overcome. For the remaining hydrogen halides (HCl, HBr, and HI), the dominant intermolecular forces are London forces. As the halogen atom increases in size down the group, the number of electrons increases, leading to stronger instantaneous dipole-induced dipole (London) forces. Thus, the boiling temperatures increase from HCl to HBr to HI.
Marking scheme
1 mark for correct answer A. Reject all other options.
Question 10 · Multiple Choice
1 marks
Which statement correctly describes the trend in thermal stability of the Group 2 nitrates down the group?
A.It decreases because the metal cation radius decreases, increasing its polarising power.
B.It increases because the metal cation radius increases, decreasing its polarising power.
C.It decreases because the metal cation radius increases, increasing its polarising power.
D.It increases because the metal cation radius decreases, decreasing its polarising power.
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Worked solution
As you descend Group 2, the ionic radius of the \( \text{M}^{2+} \) cation increases while its charge remains constant. This leads to a lower charge density and weaker polarising power. Consequently, the larger cation causes less distortion (polarisation) of the nitrate anion's electron cloud, which makes the covalent bonds within the nitrate group less weakened and therefore more thermally stable. This results in an increase in decomposition temperature down the group.
Marking scheme
1 mark for correct answer B. Reject all other options.
Question 11 · Multiple Choice
1 marks
A student compares the rate of hydrolysis of 1-chlorobutane, 1-bromobutane, and 1-iodobutane by reacting them with aqueous silver nitrate in ethanol. Which of the following is the correct order of the rate of precipitate formation, from slowest to fastest?
A.1-iodobutane < 1-bromobutane < 1-chlorobutane
B.1-chlorobutane < 1-bromobutane < 1-iodobutane
C.1-bromobutane < 1-chlorobutane < 1-iodobutane
D.1-chlorobutane < 1-iodobutane < 1-bromobutane
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Worked solution
The rate of hydrolysis of halogenoalkanes is determined by the strength of the carbon-halogen bond. Bond enthalpy decreases down Group 7 because the halogen atom gets larger, leading to a longer and weaker carbon-halogen bond. Since the C-Cl bond has the highest bond enthalpy, it is the hardest to break, making 1-chlorobutane the slowest to hydrolyse. Conversely, the C-I bond has the lowest bond enthalpy and is easiest to break, so 1-iodobutane hydrolyses fastest.
Marking scheme
1 mark for correct answer B. Reject all other options.
Question 12 · Multiple Choice
1 marks
The standard enthalpy changes of combustion for carbon, hydrogen, and propene are \( \Delta_c H^\theta [\text{C(s)}] = -394\text{ kJ mol}^{-1} \), \( \Delta_c H^\theta [\text{H}_2\text{(g)}] = -286\text{ kJ mol}^{-1} \), and \( \Delta_c H^\theta [\text{C}_3\text{H}_6\text{(g)}] = -2058\text{ kJ mol}^{-1} \). What is the standard enthalpy change of formation of propene, \( \text{C}_3\text{H}_6\text{(g)} \)?
A.\( -18\text{ kJ mol}^{-1} \)
B.\( +18\text{ kJ mol}^{-1} \)
C.\( -1378\text{ kJ mol}^{-1} \)
D.\( +1378\text{ kJ mol}^{-1} \)
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Worked solution
The equation for the standard enthalpy of formation of propene is: \( 3\text{C(s)} + 3\text{H}_2\text{(g)} \rightarrow \text{C}_3\text{H}_6\text{(g)} \). Using standard enthalpies of combustion: \( \Delta_f H^\theta = \sum \Delta_c H^\theta(\text{reactants}) - \sum \Delta_c H^\theta(\text{products}) \). Thus, \( \Delta_f H^\theta = [3 \times \Delta_c H^\theta(\text{C(s)}) + 3 \times \Delta_c H^\theta(\text{H}_2\text{(g)})] - \Delta_c H^\theta(\text{C}_3\text{H}_6\text{(g)}) = [3(-394) + 3(-286)] - (-2058) = [-1182 - 858] + 2058 = -2040 + 2058 = +18\text{ kJ mol}^{-1} \).
Marking scheme
1 mark for correct answer B. Reject all other options.
Question 13 · Multiple Choice
1 marks
Which of the following describes the change to the Maxwell-Boltzmann energy distribution curve for a gaseous reaction mixture when the temperature is increased?
A.The peak shifts to the right and becomes higher.
B.The peak shifts to the left and becomes lower.
C.The peak shifts to the right and becomes lower.
D.The peak shifts to the left and becomes higher.
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Worked solution
When temperature increases, the average kinetic energy of the gas molecules increases. This shifts the overall energy distribution to higher values, meaning the peak of the curve moves to the right. Since the total number of molecules (and thus the total area under the curve) remains constant, the peak must become lower to accommodate the broader distribution of higher-energy molecules.
Marking scheme
1 mark for correct answer C. Reject all other options.
Question 14 · Multiple Choice
1 marks
Chlorine reacts with cold, dilute aqueous sodium hydroxide to form a mixture of salts and water. What are the oxidation states of chlorine in the chlorine-containing products?
A.\( -1 \) and \( +1 \)
B.\( -1 \) and \( +5 \)
C.\( 0 \) and \( +1 \)
D.\( -1 \) and \( +3 \)
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Worked solution
The reaction of chlorine with cold, dilute aqueous sodium hydroxide is a disproportionation reaction: \( \text{Cl}_2 + 2\text{NaOH} \rightarrow \text{NaCl} + \text{NaClO} + \text{H}_2\text{O} \). The chlorine-containing products are sodium chloride (\( \text{NaCl} \)), where the oxidation state of chlorine is \( -1 \), and sodium chlorate(I) (\( \text{NaClO} \)), where the oxidation state of chlorine is \( +1 \).
Marking scheme
1 mark for correct answer A. Reject all other options.
Question 15 · Multiple Choice
1 marks
An organic compound has the molecular formula \( \text{C}_3\text{H}_6\text{O} \). Its infrared spectrum shows a sharp, strong absorption peak at \( 1715\text{ cm}^{-1} \) but no broad absorption peak in the region \( 3200\text{ to }3600\text{ cm}^{-1} \). Which compound is this?
A.Propan-1-ol
B.Propanoic acid
C.Propanone
D.Methyl ethanoate
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Worked solution
The molecular formula \( \text{C}_3\text{H}_6\text{O} \) corresponds to a degree of unsaturation (one double bond or ring). The strong peak at \( 1715\text{ cm}^{-1} \) indicates a carbonyl group (\( \text{C=O} \)). The absence of a broad band in the range \( 3200\text{--}3600\text{ cm}^{-1} \) shows that there is no hydroxyl group (\( \text{O-H} \)). Therefore, the compound is a ketone, propanone (\( \text{CH}_3\text{COCH}_3 \)). Propan-1-ol has the formula \( \text{C}_3\text{H}_8\text{O} \) and contains an \( \text{O-H} \) group. Propanoic acid and methyl ethanoate both have two oxygen atoms (\( \text{C}_3\text{H}_6\text{O}_2 \)).
Marking scheme
1 mark for correct answer C. Reject all other options.
Question 16 · Multiple Choice
1 marks
For the reversible exothermic reaction \( 2\text{SO}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{SO}_3\text{(g)} \), which row correctly shows the effect of increasing the temperature of the system on the yield of \( \text{SO}_3 \) and the value of the equilibrium constant, \( K_c \)?
A.Yield of \( \text{SO}_3 \) decreases; \( K_c \) decreases.
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Worked solution
According to Le Chatelier's Principle, increasing the temperature of a system in equilibrium shifts the position of equilibrium in the endothermic direction to absorb the added thermal energy. Since the forward reaction is exothermic, the backward reaction is endothermic. Thus, equilibrium shifts to the left, decreasing the yield of \( \text{SO}_3 \). Since \( K_c = \frac{[\text{SO}_3]^2}{[\text{SO}_2]^2 [\text{O}_2]} \), a shift to the left decreases the concentration of products and increases the concentration of reactants, thereby decreasing the value of \( K_c \).
Marking scheme
1 mark for correct answer A. Reject all other options.
Question 17 · Multiple Choice
1 marks
Which of the following halogenoalkanes has the highest boiling temperature?
A.1-chlorobutane
B.2-chloro-2-methylpropane
C.1-bromobutane
D.2-bromo-2-methylpropane
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Worked solution
1-bromobutane has the highest boiling temperature because of the relative strengths of its intermolecular forces. When comparing chlorine and bromine, bromine has a larger number of electrons, which leads to stronger London forces in 1-bromobutane than in 1-chlorobutane. Furthermore, when comparing straight-chain isomers to branched isomers, the straight-chain structure of 1-bromobutane allows for a larger surface area of contact between molecules, resulting in stronger London forces compared to the branched isomer 2-bromo-2-methylpropane.
Marking scheme
1 mark: Correct option chosen (C).
Question 18 · Multiple Choice
1 marks
Which of the following statements correctly describes the trend in thermal stability of Group 2 carbonates down the group and provides the correct explanation?
A.Thermal stability increases down the group because the cationic radius increases, decreasing its polarising power.
B.Thermal stability increases down the group because the cationic radius decreases, increasing its polarising power.
C.Thermal stability decreases down the group because the cationic radius increases, decreasing its polarising power.
D.Thermal stability decreases down the group because the cationic radius decreases, increasing its polarising power.
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Worked solution
Down Group 2, the thermal stability of the carbonates increases. This is because the ionic radius of the Group 2 cation increases down the group while carrying the same 2+ charge. As the cationic radius increases, its charge density and polarising power decrease. Consequently, the larger cation causes less distortion to the carbonate anion (specifically weakening the C-O bonds to a lesser extent), which makes the carbonate more thermally stable.
Marking scheme
1 mark: Correct option chosen (A).
Question 19 · Multiple Choice
1 marks
How do the most probable molecular energy (\(E_{mp}\)) and the fraction of molecules with energy greater than or equal to the activation energy (\(E \ge E_a\)) change when the temperature of a gas mixture is increased?
A.\(E_{mp}\) increases; fraction of molecules with \(E \ge E_a\) increases
B.\(E_{mp}\) increases; fraction of molecules with \(E \ge E_a\) remains constant
C.\(E_{mp}\) decreases; fraction of molecules with \(E \ge E_a\) increases
D.\(E_{mp}\) decreases; fraction of molecules with \(E \ge E_a\) decreases
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Worked solution
When the temperature of a gas mixture increases, the Maxwell-Boltzmann distribution curve flattens and shifts to the right. Because the peak of the curve shifts to the right, the most probable molecular energy (\(E_{mp}\)) increases. Additionally, because the entire distribution is shifted toward higher energies, a larger fraction of molecules have an energy greater than or equal to the activation energy (\(E_a\)), represented by an increased area under the curve to the right of \(E_a\).
Marking scheme
1 mark: Correct option chosen (A).
Question 20 · Multiple Choice
1 marks
Consider the following standard enthalpy changes of combustion: \(\Delta_c H^\ominus [\text{C}(\text{graphite})] = -394 \text{ kJ mol}^{-1}\), \(\Delta_c H^\ominus [\text{H}_2(\text{g})] = -286 \text{ kJ mol}^{-1}\), and \(\Delta_c H^\ominus [\text{C}_3\text{H}_8(\text{g})] = -2220 \text{ kJ mol}^{-1}\). What is the standard enthalpy change of formation of propane, \(\text{C}_3\text{H}_8(\text{g})\)?
A.\(-106 \text{ kJ mol}^{-1}\)
B.\(+106 \text{ kJ mol}^{-1}\)
C.\(-1540 \text{ kJ mol}^{-1}\)
D.\(+1540 \text{ kJ mol}^{-1}\)
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Worked solution
The equation for the formation of propane is: \(3\text{C(graphite)} + 4\text{H}_2\text{(g)} \rightarrow \text{C}_3\text{H}_8\text{(g)}\). Using Hess's Law with standard enthalpies of combustion: \(\Delta_f H^\ominus = \sum \Delta_c H^\ominus(\text{reactants}) - \sum \Delta_c H^\ominus(\text{products})\). Therefore, \(\Delta_f H^\ominus = [3 \times (-394) + 4 \times (-286)] - [-2220] = [-1182 - 1144] + 2220 = -2326 + 2220 = -106 \text{ kJ mol}^{-1}\).
Marking scheme
1 mark: Correct option chosen (A).
WCH12/01 Unit 2 Section B
Answer all questions in the spaces provided.
3 Question · 39 marks
Question 1 · Structured
13 marks
This question is about halogenoalkanes and their reactions. (a) State the reagent and conditions required to hydrolyse 1-bromobutane to butan-1-ol in high yield. (b) Give the mechanism for the alkaline hydrolysis of 1-bromobutane with aqueous hydroxide ions. Show relevant dipoles, lone pairs, and the movement of electron pairs using curly arrows. (c) Explain why 1-iodobutane hydrolyses much faster than 1-bromobutane under identical conditions. (d) An alcohol, X, is formed from the alkaline hydrolysis of a branched halogenoalkane. X has the molecular formula \(\text{C}_4\text{H}_{10}\text{O}\). (i) High-resolution mass spectrometry of X shows a molecular ion peak at m/z = 74.0732. State why high-resolution mass spectrometry is useful compared to low-resolution mass spectrometry in organic analysis. (ii) Draw the skeletal formula of X and state its IUPAC name, given that it is a tertiary alcohol. (iii) State the reagents and observations when X is warmed with acidified potassium dichromate(VI).
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(b) The mechanism is nucleophilic substitution (specifically \(\text{S}_\text{N}2\)): - Draw 1-bromobutane showing the dipole on the carbon-bromine bond: \(\text{C}^{\delta+}-\text{Br}^{\delta-}\). - Show a curly arrow starting from a lone pair on the oxygen of the hydroxide ion, \(\text{OH}^-\), pointing to the electron-deficient carbon atom (\(\text{C}^{\delta+}\)). - Show a curly arrow starting from the middle of the C-Br bond pointing to the bromine atom. - The products are butan-1-ol and a bromide ion, \(\text{Br}^-\).
(c) The C-I bond is weaker than the C-Br bond because iodine is a larger atom, resulting in a longer and weaker covalent bond (lower bond enthalpy). Therefore, the C-I bond breaks more easily / requires less energy to break during the hydrolysis reaction.
(d)(i) High-resolution mass spectrometry can measure the \(m/z\) ratio to several decimal places (e.g. 4 d.p.), which allows the exact molecular formula to be determined by distinguishing between compounds with the same integer mass but different atomic compositions.
(d)(ii) X is a tertiary alcohol with four carbons, so its structure must be 2-methylpropan-2-ol. Skeletal formula: a central carbon atom bonded to three methyl groups (represented as three lines forming a Y-shape) and one hydroxyl group (-\(\text{OH}\)). Name: 2-methylpropan-2-ol.
(d)(iii) Reagents: Potassium dichromate(VI) and dilute sulfuric acid (\(\text{K}_2\text{Cr}_2\text{O}_7\) / \(\text{H}_2\text{SO}_4\)). Observation: Solution remains orange / no color change (since tertiary alcohols cannot be oxidized).
Marking scheme
(a) [2 marks] - Aqueous sodium hydroxide / aqueous potassium hydroxide [1] - Heat under reflux [1] (b) [4 marks] - Correct dipoles shown as \(\text{C}^{\delta+}-\text{Br}^{\delta-}\) on 1-bromobutane [1] - Curly arrow from a lone pair on the oxygen of \(\text{OH}^-\)[1] - Curly arrow from the C-Br bond to the Br atom [1] - Correct products: butan-1-ol and \(\text{Br}^-\)[1] (c) [2 marks] - C-I bond is weaker / has a lower bond enthalpy than the C-Br bond [1] - C-I bond breaks more easily / requires less energy to break [1] (d)(i) [1 mark] - Measures precise/accurate mass (to 4 decimal places) to determine the exact molecular formula [1] (d)(ii) [2 marks] - Correct skeletal formula of 2-methylpropan-2-ol [1] - Correct IUPAC name: 2-methylpropan-2-ol [1] (d)(iii) [2 marks] - Reagents: (acidified) potassium dichromate(VI) / \(\text{K}_2\text{Cr}_2\text{O}_7\) and sulfuric acid / \(\text{H}_2\text{SO}_4\) [1] - Observation: remains orange / no change [1]
Question 2 · Structured
13 marks
This question is about Group 2 compounds and thermochemistry. (a) State and explain the trend in the thermal stability of Group 2 carbonates down the group from \(\text{MgCO}_3\) to \(\text{BaCO}_3\). (b) A student attempts to determine the enthalpy change for the thermal decomposition of calcium carbonate: \(\text{CaCO}_3(s) \rightarrow \text{CaO}(s) + \text{CO}_2(g)\) (i) State why this enthalpy change cannot be measured directly using a simple calorimeter. (ii) The student determines the enthalpy changes for the reactions of \(\text{CaCO}_3(s)\) and \(\text{CaO}(s)\) with excess dilute hydrochloric acid respectively: Reaction 1: \(\text{CaCO}_3(s) + 2\text{HCl}(aq) \rightarrow \text{CaCl}_2(aq) + \text{H}_2\text{O}(l) + \text{CO}_2(g)\quad \Delta H_1\) Reaction 2: \(\text{CaO}(s) + 2\text{HCl}(aq) \rightarrow \text{CaCl}_2(aq) + \text{H}_2\text{O}(l)\quad \Delta H_2\) Draw a Hess's Law cycle connecting these three reactions and write an expression for the decomposition enthalpy change, \(\Delta H_{\text{r}}\), in terms of \(\Delta H_1\) and \(\Delta H_2\). (iii) In an experiment, the student adds \(1.50\text{ g}\) of calcium oxide, \(\text{CaO}(s)\), to \(50.0\text{ cm}^3\) of \(2.00\text{ mol dm}^{-3}\) hydrochloric acid (an excess). The temperature of the solution increases by \(12.5\,^{\circ}\text{C}\). Calculate the molar enthalpy change, \(\Delta H_2\), in \(\text{kJ mol}^{-1}\). [Assume the density of the solution is \(1.00\text{ g cm}^{-3}\) and its specific heat capacity is \(4.18\text{ J g}^{-1}\text{ }^{\circ}\text{C}^{-1}\). Molar mass of \(\text{CaO} = 56.1\text{ g mol}^{-1}\).] Give your answer to 3 significant figures and include a sign.
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Worked solution
(a) Trend: Thermal stability increases down the group. Explanation: Down the group, the cationic radius (size of the Group 2 cation, \(\text{M}^{2+}\)) increases while the charge remains \(2+\). This causes the charge density of the cation to decrease. Consequently, the larger cation has less polarizing power and causes less distortion of the electron cloud of the carbonate ion (\(\text{CO}_3^{2-}\)), making the C-O bond more difficult to break.
(b)(i) Strong direct heating is required to decompose calcium carbonate, making it impossible to measure the heat energy transferred directly to a calorimeter/water.
(b)(ii) The Hess's Law cycle is: \(\text{CaCO}_3(s) \xrightarrow{\Delta H_{\text{r}}} \text{CaO}(s) + \text{CO}_2(g)\) Both reactant and product mixtures react with acid (\(2\text{HCl}(aq)\)) to form the same final system: \(\text{CaCl}_2(aq) + \text{H}_2\text{O}(l) + \text{CO}_2(g)\). - Downward arrow from \(\text{CaCO}_3(s)\) to the final system represents \(\Delta H_1\). - Downward arrow from \(\text{CaO}(s) + \text{CO}_2(g)\) to the final system represents \(\Delta H_2\). Expression: \(\Delta H_{\text{r}} = \Delta H_1 - \Delta H_2\).
(b)(iii) Calculation: - Step 1: Calculate heat energy transferred (\(q\)). Using solution mass \(m = 50.0\text{ g}\): \(q = m c \Delta T = 50.0 \times 4.18 \times 12.5 = 2612.5\text{ J} = 2.6125\text{ kJ}\) (If using total mass \(m = 50.0 + 1.50 = 51.5\text{ g}\): \(q = 51.5 \times 4.18 \times 12.5 = 2690.875\text{ J} = 2.690875\text{ kJ}\)) - Step 2: Calculate moles of \(\text{CaO}\). \(n(\text{CaO}) = \frac{1.50\text{ g}}{56.1\text{ g mol}^{-1}} = 0.026738\text{ mol}\) - Step 3: Determine molar enthalpy change (\(\Delta H_2\)). Since the temperature rose, the reaction is exothermic, so \(\Delta H_2\) must be negative. Using \(m = 50.0\text{ g}\): \(\Delta H_2 = -\frac{2.6125}{0.026738} = -97.707\text{ kJ mol}^{-1} \approx -97.7\text{ kJ mol}^{-1}\) Using \(m = 51.5\text{ g}\): \(\Delta H_2 = -\frac{2.690875}{0.026738} = -100.64\text{ kJ mol}^{-1} \approx -101\text{ kJ mol}^{-1}\)
Marking scheme
(a) [4 marks] - Thermal stability increases down the group [1] - Cation / ionic radius increases [1] - Charge density of cation decreases [1] - Less polarization / distortion of the carbonate ion (electron cloud) [1] (b)(i) [1 mark] - Strong heating is required (heat is constantly supplied) / cannot measure the temperature change of the solid directly [1] (b)(ii) [3 marks] - Correct cycle showing three states in a triangular relationship with correct arrow directions [2] - \(\Delta H_{\text{r}} = \Delta H_1 - \Delta H_2\) [1] (b)(iii) [5 marks] - Calculation of heat transferred: \(q = 2612.5\text{ J}\) or \(2.6125\text{ kJ}\) (or \(2690.9\text{ J}\) / \(2.6909\text{ kJ}\)) [1] - Moles of \(\text{CaO} = 0.02674\text{ mol}\) [1] - Division of heat energy by moles [1] - Negative sign indicating an exothermic reaction [1] - Final value to 3 s.f.: \(-97.7\text{ kJ mol}^{-1}\) (or \(-101\text{ kJ mol}^{-1}\)) [1]
Question 3 · Structured
13 marks
This question is about physical properties and intermolecular forces. (a) Consider the boiling temperatures of the three organic compounds shown below: Butane (Molar Mass = 58.0 g/mol, b.p. = -0.5 °C); Propan-1-ol (Molar Mass = 60.0 g/mol, b.p. = 97.2 °C); Ethane-1,2-diol (Molar Mass = 62.0 g/mol, b.p. = 197.3 °C). (i) Describe the intermolecular forces present in liquid butane. (ii) Explain the difference in boiling temperatures between butane and propan-1-ol. (iii) Explain why ethane-1,2-diol has a much higher boiling temperature than propan-1-ol. (b) Propan-1-ol is completely miscible with water, whereas hexan-1-ol is only slightly soluble in water. (i) Explain why propan-1-ol is miscible with water. Include a fully labeled diagram showing the hydrogen bonding between one molecule of propan-1-ol and one molecule of water. Show all relevant dipoles and lone pairs. (ii) Explain why the solubility of alcohols in water decreases as the carbon chain length increases.
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Worked solution
(a)(i) London forces / instantaneous dipole-induced dipole forces only.
(a)(ii) Propan-1-ol has hydrogen bonding (as well as London forces and permanent dipole-dipole forces) because of its polar -OH group. Butane has only London forces between its non-polar molecules. Hydrogen bonds are significantly stronger than London forces and require much more thermal energy to overcome.
(a)(iii) Ethane-1,2-diol has two hydroxyl (-OH) groups per molecule, whereas propan-1-ol has only one. This allows ethane-1,2-diol to form more hydrogen bonds per molecule, creating a more extensive network of hydrogen bonds that requires significantly more energy to break.
(b)(i) Propan-1-ol can form hydrogen bonds with water molecules, allowing it to mix fully. Diagram requirements: - A propan-1-ol molecule, \(\text{CH}_3\text{CH}_2\text{CH}_2\text{OH}\), and a water molecule, \(\text{H}_2\text{O}\), are drawn showing the O-H bonds. - Dipoles are shown on the O-H bonds of both molecules (\(\text{O}^{\delta-}\) and \(\text{H}^{\delta+}\)). - Two lone pairs are shown on the oxygen atoms of both molecules. - A dashed line (or dotted line) represents the hydrogen bond, drawn directly from a lone pair on the oxygen of one molecule (e.g., water) to the hydrogen atom (\(\text{H}^{\delta+}\)) of the O-H group on the other molecule (e.g., propan-1-ol). - The angle of the \(\text{O}-\text{H}\cdots\text{O}\) system is linear (approx. \(180^{\circ}\)).
(b)(ii) As the carbon chain length increases, the size of the non-polar, hydrophobic hydrocarbon chain increases. This large non-polar region cannot form hydrogen bonds with water; it disrupts the existing hydrogen bonds between water molecules without contributing equivalent attractive forces, making dissolution energetically unfavorable.
Marking scheme
(a)(i) [1 mark] - London forces / instantaneous dipole-induced dipole forces [1] (a)(ii) [3 marks] - Propan-1-ol has hydrogen bonds [1] - Butane only has London forces [1] - Hydrogen bonds are stronger than London forces and require more energy to break [1] (a)(iii) [2 marks] - Ethane-1,2-diol has two -OH groups whereas propan-1-ol has one [1] - More hydrogen bonds can be formed per molecule / more extensive hydrogen-bonding network [1] (b)(i) [5 marks] - Explanation: Propan-1-ol forms hydrogen bonds with water molecules [1] - Diagram shows correct structures of propan-1-ol and water with correct dipoles (\(\text{O}^{\delta-}\) and \(\text{H}^{\delta+}\)) [1] - Diagram shows lone pairs on both oxygen atoms [1] - Diagram shows a dashed/dotted line representing a hydrogen bond from an oxygen lone pair to the hydrogen of the other molecule [1] - Diagram shows a linear \(\text{O}-\text{H}\cdots\text{O}\) alignment (angle of \(180^{\circ}\) around the hydrogen bond) [1] (b)(ii) [2 marks] - The non-polar / hydrophobic hydrocarbon chain increases in length/size [1] - The non-polar region disrupts hydrogen bonding between water molecules (and cannot form hydrogen bonds itself) [1]
WCH12/01 Unit 2 Section C
Answer all questions in the spaces provided.
1 Question · 21 marks
Question 1 · open
21 marks
### Hydrofluoroolefins (HFOs) as Fourth-Generation Refrigerants
Chlorofluorocarbons (CFCs) were banned under the Montreal Protocol due to their ozone-depleting potential. They were replaced by hydrofluorocarbons (HFCs) like 1,1,1,2-tetrafluoroethane (HFC-134a, \(\text{CF}_3\text{CH}_2\text{F}\)). Although HFCs do not deplete ozone, they are potent greenhouse gases with high global warming potentials (GWP). Consequently, fourth-generation refrigerants, hydrofluoroolefins (HFOs) like 2,3,3,3-tetrafluoropropene (HFO-1234yf, \(\text{CF}_3\text{CF}=\text{CH}_2\)), are being introduced because they decompose quickly in the troposphere, giving them a very low GWP.
**(a)** Write the equation for the radical initiation step showing the formation of chlorine radicals from \(\text{CF}_2\text{Cl}_2\), and the two propagation steps for the catalytic destruction of ozone by these radicals. Explain why HFCs do not cause the same ozone depletion. (4 marks)
**(b) (i)** Explain how greenhouse gases like HFC-134a and HFO-1234yf absorb infrared (IR) radiation, and how this leads to warming of the atmosphere. (3 marks)
**(b) (ii)** HFO-1234yf (\(\text{CF}_3\text{CF}=\text{CH}_2\)) has a much shorter atmospheric lifetime (around 11 days) than HFC-134a (\(\text{CF}_3\text{CH}_2\text{F}\), around 14 years). Suggest why, referring to the chemical structures of both molecules. (2 marks)
**(c)** HFC-134a can be synthesised from trichloroethene in a multi-step process. In one step, 1-chloro-2,2,2-trifluoroethane (\(\text{CF}_3\text{CH}_2\text{Cl}\)) is reacted with hydrogen fluoride (\(\text{HF}\)) in the gas phase:
**(i)** Calculate the standard enthalpy change (\(\Delta H^\theta\)) for this reaction using the average bond enthalpies provided below: * \(C-F\): \(467 \text{ kJ mol}^{-1}\) * \(C-Cl\): \(346 \text{ kJ mol}^{-1}\) * \(H-F\): \(562 \text{ kJ mol}^{-1}\) * \(H-Cl\): \(431 \text{ kJ mol}^{-1}\) (3 marks)
**(ii)** State and explain the effect of increasing the temperature on the position of this equilibrium. (2 marks)
**(d) (i)** Describe a chemical test (including reagents, conditions and observations) that could be used to confirm the presence of the chlorine atom in a sample of \(\text{CF}_3\text{CH}_2\text{Cl}\) after it has undergone hydrolysis. (3 marks)
**(d) (ii)** Explain why \(\text{CF}_3\text{CH}_2\text{F}\) is extremely resistant to hydrolysis compared to \(\text{CF}_3\text{CH}_2\text{Cl}\), referring to bond enthalpy data. (2 marks)
**(e)** Mass spectrometry can be used to distinguish these two compounds. Predict the formula and the \(m/z\) value of a major halogen-containing fragment ion that would be present in the mass spectrum of \(\text{CF}_3\text{CH}_2\text{Cl}\) but absent from that of \(\text{CF}_3\text{CH}_2\text{F}\). Assume only the most common isotopes: \(^{12}\text{C}\), \(^{1}\text{H}\), \(^{19}\text{F}\), \(^{35}\text{Cl}\). (2 marks)
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Worked solution
### Worked Solution
**Part (a)** * **Initiation:** \(\text{CF}_2\text{Cl}_2 \xrightarrow{uv} \bullet\text{CF}_2\text{Cl} + \text{Cl}\bullet\) * **Propagation 1:** \(\text{Cl}\bullet + \text{O}_3 \rightarrow \text{ClO}\bullet + \text{O}_2\) * **Propagation 2:** \(\text{ClO}\bullet + \text{O} \rightarrow \text{Cl}\bullet + \text{O}_2\) (or \(\text{ClO}\bullet + \text{O}_3 \rightarrow \text{Cl}\bullet + 2\text{O}_2\)) * **Explanation:** HFCs contain only C, H, and F (no chlorine). The \(C-F\) bond is extremely strong and cannot be homolytically cleaved by stratospheric UV light, so no radicals capable of catalytic ozone destruction are released.
**Part (b) (i)** * Greenhouse gases contain polar bonds (such as \(C-F\) or \(C-H\)). * The absorption of infrared radiation causes these bonds to undergo stretching or bending vibrations, which change the molecular dipole moment. * The absorbed energy is subsequently re-emitted in all directions, including back toward the Earth's surface, trapping heat within the atmosphere.
**Part (b) (ii)** * HFO-1234yf contains a highly reactive \(C=C\) double bond (alkene functional group), whereas HFC-134a has only \(C-C\) single bonds (saturated alkane derivative). * The high electron density of the \(C=C\) double bond makes HFO-1234yf susceptible to rapid attack by naturally occurring hydroxyl (\(\bullet\text{OH}\)) radicals in the troposphere.
**Part (c) (ii)** * Increasing the temperature shifts the equilibrium position to the right (the forward direction). * Because the forward reaction is endothermic (\(\Delta H^\theta > 0\)), and according to Le Chatelier's principle, the system shifts to absorb the added heat.
**Part (d) (i)** * **Step 1:** Warm/heat the sample with aqueous sodium hydroxide (\(\text{NaOH(aq)}\)) or water in ethanol to hydrolyse the halogenoalkane and release chloride ions. * **Step 2:** Acidify the mixture with dilute nitric acid (\(\text{HNO}_3\)) and add aqueous silver nitrate (\(\text{AgNO}_3\)). * **Observation:** A white precipitate (of silver chloride, \(\text{AgCl}\)) forms, which is soluble in dilute aqueous ammonia.
**Part (d) (ii)** * The \(C-F\) bond is much stronger than the \(C-Cl\) bond, as indicated by its much higher bond enthalpy (\(467 \text{ kJ mol}^{-1}\) vs \(346 \text{ kJ mol}^{-1}\)). * Consequently, the activation energy required to break the \(C-F\) bond during nucleophilic attack is significantly higher, rendering it kinetically inert under typical hydrolysis conditions.
**Part (e)** * The fragment containing chlorine would be \([\text{CH}_2^{35}\text{Cl}]^+\) with \(m/z = 49\) (or \([\text{CF}_3\text{CH}_2^{35}\text{Cl}]^+\) at \(m/z = 118\) or \(^{35}\text{Cl}^+\) at \(m/z = 35\)). * It is absent in the mass spectrum of \(\text{CF}_3\text{CH}_2\text{F}\) because that compound has no chlorine atoms.
Marking scheme
**(a)** [Total: 4 marks] * **M1:** Correct initiation equation with UV radiation (\(uv\) or \(h\nu\)) above/on the arrow: \(\text{CF}_2\text{Cl}_2 \xrightarrow{uv} \bullet\text{CF}_2\text{Cl} + \text{Cl}\bullet\). (1 mark) * **M2:** Correct propagation steps: \(\text{Cl}\bullet + \text{O}_3 \rightarrow \text{ClO}\bullet + \text{O}_2\) AND \(\text{ClO}\bullet + \text{O} \rightarrow \text{Cl}\bullet + \text{O}_2\). (1 mark) * **M3:** States that HFCs contain no chlorine atoms / only contain carbon, hydrogen, and fluorine. (1 mark) * **M4:** States that the \(C-F\) bond is too strong to be broken by UV light in the stratosphere, preventing the formation of halogen radicals. (1 mark)
**(b) (i)** [Total: 3 marks] * **M1:** Polar bonds undergo stretching/bending vibrations when absorbing IR. (1 mark) * **M2:** This vibration results in a change in the dipole moment. (1 mark) * **M3:** The absorbed energy is re-emitted/re-radiated back to the Earth's surface (trapping heat). (1 mark)
**(b) (ii)** [Total: 2 marks] * **M1:** HFO-1234yf contains a reactive carbon-carbon double bond (\(C=C\)) / is an alkene (whereas HFC-134a has only single bonds). (1 mark) * **M2:** The double bond is highly susceptible to attack by atmospheric hydroxyl (\(\bullet\text{OH}\)) radicals, leading to fast breakdown. (1 mark)
**(c) (i)** [Total: 3 marks] * **M1:** Correctly identifies bonds broken (\(C-Cl\) and \(H-F\)) and formed (\(C-F\) and \(H-Cl\)), showing correct substitutions: bonds broken = \(346 + 562 = 908\); bonds formed = \(467 + 431 = 898\). (1 mark) * **M2:** Correct calculation structure: \(\Delta H^\theta = 908 - 898\). (1 mark) * **M3:** Final value of \(+10 \text{ kJ mol}^{-1}\) (must include positive sign and unit). (1 mark)
**(c) (ii)** [Total: 2 marks] * **M1:** Equilibrium shifts to the right / forward direction. (1 mark) * **M2:** Because the forward reaction is endothermic (or \(\Delta H > 0\)), so the system opposes the temperature increase by absorbing heat. (1 mark)
**(d) (i)** [Total: 3 marks] * **M1:** Reagents and conditions for hydrolysis: Heat/warm with aqueous sodium hydroxide (or water/ethanol mixture). (1 mark) * **M2:** Acidification and silver nitrate: Acidify with dilute nitric acid (\(\text{HNO}_3\)) and add aqueous silver nitrate (\(\text{AgNO}_3\)). Do NOT accept HCl. (1 mark) * **M3:** Correct observation: White precipitate forms (which dissolves in dilute ammonia). (1 mark)
**(d) (ii)** [Total: 2 marks] * **M1:** Identifies that the \(C-F\) bond is much stronger than the \(C-Cl\) bond / quotes the bond enthalpy values (467 vs 346 \(\text{kJ mol}^{-1}\)). (1 mark) * **M2:** Explains that the higher bond enthalpy results in a much larger activation energy for the hydrolysis pathway. (1 mark)
**(e)** [Total: 2 marks] * **M1:** Correct formula of a chlorine-containing fragment ion, including the positive charge (e.g., \([\text{CH}_2^{35}\text{Cl}]^+\), \([\text{CF}_3\text{CH}_2^{35}\text{Cl}]^+\), or \(^{35}\text{Cl}^+\)). (1 mark) * **M2:** Correct corresponding \(m/z\) value (49 for \([\text{CH}_2^{35}\text{Cl}]^+\), 118 for \([\text{CF}_3\text{CH}_2^{35}\text{Cl}]^+\), or 35 for \(^{35}\text{Cl}^+\)). (1 mark)
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