Cambridge IAL · Thinka-original Practice Paper

2025 Cambridge IAL Chemistry (9701) Practice Paper with Answers

Thinka Nov 2025 (V4) Cambridge International A Level-Style Mock — Chemistry (9701)

270 marks465 mins2025
An original Thinka practice paper modelled on the structure and difficulty of the Nov 2025 (V4) Cambridge International A Level Chemistry (9701) paper. Not affiliated with or reproduced from Cambridge.

Paper 14 (Multiple Choice)

Answer all 40 multiple-choice questions on the separate answer sheet. Calculators are permitted.
40 Question · 40 marks
Question 1 · multiple-choice
1 marks
A mixture of 10 cm\(^3\) of a gaseous alkane \(C_n H_{2n+2}\) and 70 cm\(^3\) of oxygen (an excess) is exploded in a sealed vessel. After cooling to room temperature, the volume of gas remaining is 50 cm\(^3\). When this remaining gas is shaken with excess aqueous sodium hydroxide, the volume decreases to 20 cm\(^3\). What is the molecular formula of the alkane? (All gas volumes are measured at the same temperature and pressure.)
  1. A.\(CH_4\)
  2. B.\(C_2H_6\)
  3. C.\(C_3H_8\)
  4. D.\(C_4H_{10\)
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Worked solution

Shaking the gas mixture with NaOH absorbs \(CO_2\). Therefore, the volume decrease of 30 cm\(^3\) (from 50 cm\(^3\) to 20 cm\(^3\)) is the volume of \(CO_2\) produced. Since 10 cm\(^3\) of alkane produced 30 cm\(^3\) of \(CO_2\), the mole ratio of alkane to \(CO_2\) is 1 : 3. This means each molecule of alkane contains 3 carbon atoms (\(n = 3\)), giving the formula \(C_3H_8\). The remaining 20 cm\(^3\) of gas is the unreacted excess \(O_2\). The volume of \(O_2\) reacted is 70 - 20 = 50 cm\(^3\). This fits the stoichiometry of the equation: \(C_3H_8 + 5O_2 \rightarrow 3CO_2 + 4H_2O\) (ratio 10 : 50 : 30).

Marking scheme

1 mark: Identify that 30 cm\(^3\) of CO\(_2\) is produced from 10 cm\(^3\) of alkane, yielding n = 3, which corresponds to C\(_3\)H\(_8\).
Question 2 · multiple-choice
1 marks
A solid sample of potassium halide, \(KX\), is reacted with concentrated sulfuric acid. A mixture of gases is produced, including a gaseous element, an acidic gas that fumes in moist air, and a gas that turns acidified potassium dichromate(VI) paper from orange to green. What is the identity of the halide ion, \(X^-\), in the solid?
  1. A.fluoride
  2. B.chloride
  3. C.bromide
  4. D.iodide
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Worked solution

Bromide ions are strong enough reducing agents to reduce concentrated sulfuric acid to sulfur dioxide, \(SO_2\) (which turns acidified potassium dichromate(VI) paper from orange to green). The oxidation of bromide ions yields bromine, \(Br_2\) (a gaseous orange-brown element at the reaction temperature). The reaction also produces some hydrogen bromide, \(HBr\) (an acidic gas that fumes in moist air). Chloride and fluoride cannot reduce sulfuric acid, whereas iodide reduces it more aggressively to sulfur (solid) and hydrogen sulfide (bad egg smell gas).

Marking scheme

1 mark: Correctly identify the halide as bromide based on the characteristic reduction product (SO\(_2\)) and elemental halogen (Br\(_2\)).
Question 3 · multiple-choice
1 marks
An aqueous solution of a transition metal complex is light blue. When excess concentrated hydrochloric acid is added, the solution turns yellow-green. When aqueous ammonia is added to the original light blue solution, a deep blue solution is formed. Which transition metal species is present in the original light blue solution?
  1. A.\([Co(H_2O)_6]^{2+}\)
  2. B.\([Fe(H_2O)_6]^{3+}\)
  3. C.\([Cu(H_2O)_6]^{2+}\)
  4. D.\([Cr(H_2O)_6]^{3+}\)
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Worked solution

The original light blue solution contains the hexaaquacopper(II) ion, \([Cu(H_2O)_6]^{2+}\). When excess conc. \(HCl\) is added, ligand exchange occurs to form the tetrahedral tetrachlorocuprate(II) ion, \([CuCl_4]^{2-}\), which is yellow-green. When aqueous ammonia is added, ligand exchange forms the deep blue tetraamminedihydratocopper(II) ion, \([Cu(NH_3)_4(H_2O)_2]^{2+}\).

Marking scheme

1 mark: Identify Cu\(^{2+}\)(aq) / [Cu(H\(_2\)O)\(_6\)]\(^{2+}\) as the unique species showing these characteristic color transitions.
Question 4 · multiple-choice
1 marks
2-methylbut-2-ene is reacted with cold, dilute, acidified potassium manganate(VII) to form organic product \(P\). When 2-methylbut-2-ene is instead reacted with hot, concentrated, acidified potassium manganate(VII), the organic products are \(Q\) and \(R\). Which statement correctly describes the products \(P\), \(Q\), and \(R\)?
  1. A.\(P\) is a diol containing one secondary and one tertiary alcohol group; \(Q\) and \(R\) are a ketone and a carboxylic acid.
  2. B.\(P\) is a diol containing two secondary alcohol groups; \(Q\) and \(R\) are an aldehyde and a ketone.
  3. C.\(P\) is a diol containing one secondary and one tertiary alcohol group; \(Q\) and \(R\) are an aldehyde and a carboxylic acid.
  4. D.\(P\) is a diol containing one primary and one tertiary alcohol group; \(Q\) and \(R\) are a ketone and carbon dioxide.
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Worked solution

Reaction of 2-methylbut-2-ene, \((CH_3)_2C=CHCH_3\), with cold, dilute \(KMnO_4\) results in mild oxidation to form the diol 2-methylbutane-2,3-diol, \((CH_3)_2C(OH)-CH(OH)CH_3\). Carbon-2 is a tertiary carbon bonded to an \(-OH\) group (tertiary alcohol), while Carbon-3 is a secondary carbon bonded to an \(-OH\) group (secondary alcohol). Reaction with hot, concentrated \(KMnO_4\) cleaves the \(C=C\) double bond to yield propanone (a ketone) from the \((CH_3)_2C=\) part, and ethanoic acid (a carboxylic acid) from the \(=CHCH_3\) part.

Marking scheme

1 mark: Identify P as a diol with secondary and tertiary alcohol groups, and Q/R as a ketone and a carboxylic acid.
Question 5 · multiple-choice
1 marks
In which of the following compounds does the transition metal have an oxidation state of \(+5\)?
  1. A.\([Cr(H_2O)_6]Cl_3\)
  2. B.\(K_2MnO_4\)
  3. C.\(NH_4VO_3\)
  4. D.\(Na_2Fe_2O_4\)
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Worked solution

Let us calculate the oxidation state of the transition metals in each option: In \([Cr(H_2O)_6]Cl_3\), the complex ion has a charge of \(+3\), so \(Cr\) is in the \(+3\) oxidation state. In \(K_2MnO_4\), the two potassium ions have a combined charge of \(+2\) and the four oxides have a charge of \(-8\), so \(Mn\) is in the \(+6\) state. In \(NH_4VO_3\), the ammonium ion is \(NH_4^+\) (charge of \(+1\)) and the metavanadate ion is \(VO_3^-\) (charge of \(-1\)). In \(VO_3^-\), the three oxygen atoms have a total oxidation state of \(-6\), meaning \(V\) must be \(+5\). In \(Na_2Fe_2O_4\), sodium is \(+1\) and oxygen is \(-2\), giving \(Fe\) an oxidation state of \(+3\).

Marking scheme

1 mark: Correctly calculate oxidation numbers to determine that V in NH\(_4\)VO\(_3\) is +5.
Question 6 · multiple-choice
1 marks
The reaction between reactant \(A\) and reactant \(B\) is investigated and found to follow the rate equation:

\(\text{rate} = k[A][B]^2\)

By what factor will the initial rate of reaction change if the concentration of \(A\) is doubled and the concentration of \(B\) is halved?
  1. A.It will increase by a factor of 4.
  2. B.It will increase by a factor of 2.
  3. C.It will remain unchanged.
  4. D.It will decrease by a factor of 0.5.
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Worked solution

Let the initial rate be \(R_1 = k[A][B]^2\). If the concentration of \(A\) is doubled, the concentration becomes \(2[A]\). If the concentration of \(B\) is halved, the concentration becomes \(0.5[B]\). The new rate, \(R_2\), is given by:
\(R_2 = k(2[A])(0.5[B])^2 = k \times 2[A] \times 0.25[B]^2 = 0.5 k[A][B]^2 = 0.5 R_1\).
Thus, the initial rate of reaction halves (decreases by a factor of 0.5).

Marking scheme

1 mark: Correctly scale the rate equation by 2\(^1\) for A and (0.5)\(^2\) for B, giving an overall factor of 0.5.
Question 7 · multiple-choice
1 marks
Use the standard enthalpy changes of combustion given below to calculate the standard enthalpy change of formation of liquid propan-1-ol, \(C_3H_7OH(l)\).

\(\Delta H_c^\ominus [C(s)] = -394\text{ kJ mol}^{-1}\)
\(\Delta H_c^\ominus [H_2(g)] = -286\text{ kJ mol}^{-1}\)
\(\Delta H_c^\ominus [C_3H_7OH(l)] = -2021\text{ kJ mol}^{-1}\)
  1. A.\(-305\text{ kJ mol}^{-1}\)
  2. B.\(+305\text{ kJ mol}^{-1}\)
  3. C.\(-2326\text{ kJ mol}^{-1}\)
  4. D.\(-4347\text{ kJ mol}^{-1}\)
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Worked solution

The equation for the standard enthalpy change of formation of propan-1-ol is:
\(3C(s) + 4H_2(g) + \frac{1}{2}O_2(g) \rightarrow C_3H_7OH(l)\).
According to Hess's Law, using combustion data:
\(\Delta H_f^\ominus [C_3H_7OH(l)] = \sum \Delta H_c^\ominus[\text{reactants}] - \sum \Delta H_c^\ominus[\text{products}]\)
\(\Delta H_f^\ominus = 3 \times \Delta H_c^\ominus[C(s)] + 4 \times \Delta H_c^\ominus[H_2(g)] - \Delta H_c^\ominus[C_3H_7OH(l)]\)
\(\Delta H_f^\ominus = 3(-394) + 4(-286) - (-2021) = -1182 - 1144 + 2021 = -305\text{ kJ mol}^{-1}\).

Marking scheme

1 mark: Formulate the correct Hess's Law expression using the stoichiometric coefficients (3 for C and 4 for H\(_2\)) and calculate -305 kJ mol\(^{-1}\).
Question 8 · multiple-choice
1 marks
Equal masses of anhydrous calcium carbonate, \(CaCO_3\), and anhydrous barium carbonate, \(BaCO_3\), are heated strongly in separate open crucibles until there is no further change in mass. Assume complete thermal decomposition occurs under these conditions. Which statement correctly compares the thermal stability and the percentage mass loss of the two carbonates?
  1. A.Calcium carbonate is more thermally stable and undergoes a larger percentage mass loss than barium carbonate.
  2. B.Barium carbonate is more thermally stable and undergoes a smaller percentage mass loss than calcium carbonate.
  3. C.Calcium carbonate is less thermally stable and undergoes a smaller percentage mass loss than barium carbonate.
  4. D.Barium carbonate is less thermally stable and undergoes a larger percentage mass loss than calcium carbonate.
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Worked solution

Thermal stability of Group 2 carbonates increases down the group because the cationic radius increases and charge density decreases. Thus, the larger \(Ba^{2+}\) ion polarises the carbonate ion's electron cloud less strongly than the smaller \(Ca^{2+}\) ion, making \(BaCO_3\) more thermally stable than \(CaCO_3\).

The decomposition reaction is \(MCO_3(s) \rightarrow MO(s) + CO_2(g)\). The percentage mass loss is due to the loss of carbon dioxide gas: \(\%\text{ mass loss} = \frac{M_r(CO_2)}{M_r(MCO_3)} \times 100\%\).
For \(CaCO_3\) (\(M_r \approx 100.1\)): \(\%\text{ mass loss} = \frac{44.0}{100.1} \times 100\% = 44.0\%\).
For \(BaCO_3\) (\(M_r \approx 197.3\)): \(\%\text{ mass loss} = \frac{44.0}{197.3} \times 100\% = 22.3\%\).
Therefore, \(BaCO_3\) undergoes a smaller percentage mass loss than \(CaCO_3\).

Marking scheme

1 mark: Identify that barium carbonate is more stable (due to lower polarising power of Ba\(^{2+}\)) and undergoes a lower percentage mass loss due to its higher molar mass.
Question 9 · Multiple Choice
1 marks
An excess of dilute hydrochloric acid is added to 1.50 g of a mixture of anhydrous sodium carbonate (\(\text{Na}_2\text{CO}_3\), \(M_r = 106.0\)) and sodium chloride (\(\text{NaCl}\)). The volume of carbon dioxide gas collected at room temperature and pressure (r.t.p.) is 240 \(\text{cm}^3\). What is the percentage by mass of sodium carbonate in the mixture? (Assume 1 mol of gas occupies 24.0 \(\text{dm}^3\) at r.t.p.)
  1. A.35.3%
  2. B.47.0%
  3. C.70.7%
  4. D.82.4%
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Worked solution

First, calculate the number of moles of \(\text{CO}_2\) gas produced: \(n(\text{CO}_2) = \frac{240 \text{ cm}^3}{24000 \text{ cm}^3 \text{ mol}^{-1}} = 0.0100 \text{ mol}\). Next, write the balanced equation: \(\text{Na}_2\text{CO}_3 + 2\text{HCl} \rightarrow 2\text{NaCl} + \text{H}_2\text{O} + \text{CO}_2\). The stoichiometric ratio of \(\text{Na}_2\text{CO}_3\) to \(\text{CO}_2\) is 1:1, so \(n(\text{Na}_2\text{CO}_3) = 0.0100 \text{ mol}\). Calculate the mass of \(\text{Na}_2\text{CO}_3\): \(\text{mass} = 0.0100 \text{ mol} \times 106.0 \text{ g mol}^{-1} = 1.06 \text{ g}\). Finally, find the percentage by mass: \(\% \text{ by mass} = \frac{1.06 \text{ g}}{1.50 \text{ g}} \times 100\% = 70.7\%\).

Marking scheme

1 mark for the correct calculation of percentage by mass. Allow 1 mark for correct intermediate steps (moles of CO2 and mass of sodium carbonate) leading to the correct option C.
Question 10 · Multiple Choice
1 marks
Which statement correctly explains the trend in volatility of the halogens chlorine, bromine, and iodine down the group?
  1. A.Volatility increases because the electronegativity of the atoms decreases, reducing the permanent dipole-dipole attractions.
  2. B.Volatility decreases because the number of electrons per molecule increases, resulting in stronger instantaneous dipole-induced dipole forces.
  3. C.Volatility increases because the covalent bond energy of the diatomic molecules decreases down the group.
  4. D.Volatility decreases because the ionic character of the bonds between the halogen atoms increases.
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Worked solution

Down Group 17, the halogens exist as diatomic covalent molecules. Volatility decreases (boiling points increase) down the group because the total number of electrons in the molecules increases, which increases the polarisability of the electron cloud. This leads to stronger instantaneous dipole-induced dipole (London dispersion) intermolecular forces, requiring more thermal energy to overcome.

Marking scheme

1 mark for identifying that volatility decreases down the group and explaining this trend in terms of increasing strength of instantaneous dipole-induced dipole forces due to an increased number of electrons.
Question 11 · Multiple Choice
1 marks
What is the correct outer electronic configuration of the transition metal ion present in the complex \([\text{Co}(\text{NH}_3)_6]\text{Cl}_3\)?
  1. A.\([\text{Ar}] 3\text{d}^6\)
  2. B.\([\text{Ar}] 3\text{d}^5 4\text{s}^1\)
  3. C.\([\text{Ar}] 3\text{d}^7\)
  4. D.\([\text{Ar}] 3\text{d}^4 4\text{s}^2\)
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Worked solution

In the complex \([\text{Co}(\text{NH}_3)_6]\text{Cl}_3\), ammonia (\(\text{NH}_3\)) is a neutral ligand and there are three chloride counter-ions (\(3\text{Cl}^-\)), meaning the cobalt ion is in the +3 oxidation state (\(\text{Co}^{3+}\)). The atomic number of Cobalt is 27, so a neutral cobalt atom has the electronic configuration \([\text{Ar}] 3\text{d}^7 4\text{s}^2\). To form the \(\text{Co}^{3+}\) ion, three electrons are removed, starting with the outer 4s electrons first and then one 3d electron, resulting in \([\text{Ar}] 3\text{d}^6\).

Marking scheme

1 mark for identifying the correct oxidation state of Co in the complex and deducing its corresponding d6 electronic configuration.
Question 12 · Multiple Choice
1 marks
An organic compound \(X\) with the molecular formula \(\text{C}_6\text{H}_{10}\) is reacted with hot, concentrated, acidified potassium manganate(VII). Only one organic product, a dicarboxylic acid, is formed. What is the identity of compound \(X\)?
  1. A.cyclohexene
  2. B.1-methylcyclopentene
  3. C.hexa-1,4-diene
  4. D.2,3-dimethylbut-2-ene
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Worked solution

Hot, concentrated, acidified potassium manganate(VII) cleaves the carbon-carbon double bond in alkenes. Cyclohexene is a cyclic alkene with formula \(\text{C}_6\text{H}_{10}\). Cleavage of its single double bond opens the ring, converting both alkene carbons into carboxylic acid groups and forming hexanedioic acid (a dicarboxylic acid) as the sole organic product. 1-methylcyclopentene yields a keto-acid. Hexa-1,4-diene yields multiple organic fragments. 2,3-dimethylbut-2-ene yields a ketone.

Marking scheme

1 mark for identifying cyclohexene as the only cyclic alkene of molecular formula C6H10 that produces a single dicarboxylic acid upon oxidative cleavage.
Question 13 · Multiple Choice
1 marks
What volume of \(0.0100 \text{ mol dm}^{-3}\) acidified potassium dichromate(VI), \(\text{K}_2\text{Cr}_2\text{O}_7\), is required to completely oxidize 30.0 \(\text{cm}^3\) of \(0.0500 \text{ mol dm}^{-3}\) tin(II) sulfate, \(\text{SnSO}_4\)?
  1. A.10.0 \(\text{cm}^3\)
  2. B.50.0 \(\text{cm}^3\)
  3. C.90.0 \(\text{cm}^3\)
  4. D.150 \(\text{cm}^3\)
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Worked solution

First, write the half-equations: \(\text{Cr}_2\text{O}_7^{2-} + 14\text{H}^+ + 6\text{e}^- \rightarrow 2\text{Cr}^{3+} + 7\text{H}_2\text{O}\) and \(\text{Sn}^{2+} \rightarrow \text{Sn}^{4+} + 2\text{e}^-\). Combining these shows that 1 mole of dichromate reacts with 3 moles of tin(II). Calculate the moles of \(\text{Sn}^{2+}\): \(n(\text{Sn}^{2+}) = 0.0300 \text{ dm}^3 \times 0.0500 \text{ mol dm}^{-3} = 1.50 \times 10^{-3} \text{ mol}\). Calculate the moles of \(\text{Cr}_2\text{O}_7^{2-}\) required: \(1.50 \times 10^{-3} / 3 = 5.00 \times 10^{-4} \text{ mol}\). Finally, calculate the volume of dichromate: \(\text{Volume} = 5.00 \times 10^{-4} \text{ mol} / 0.0100 \text{ mol dm}^{-3} = 0.0500 \text{ dm}^3 = 50.0 \text{ cm}^3\).

Marking scheme

1 mark for the correct stoichiometric calculation leading to the volume of 50.0 cm3.
Question 14 · Multiple Choice
1 marks
For a multi-step reaction, the rate equation is determined to be: \(\text{rate} = k [\text{A}]^2 [\text{B}]^{-1}\). What are the units of the rate constant \(k\)?
  1. A.\(\text{dm}^3 \text{mol}^{-1} \text{s}^{-1}\)
  2. B.\(\text{s}^{-1}\)
  3. C.\(\text{mol dm}^{-3} \text{s}^{-1}\)
  4. D.\(\text{dm}^6 \text{mol}^{-2} \text{s}^{-1}\)
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Worked solution

Rearrange the rate equation to express the rate constant: \(k = \frac{\text{rate}}{[\text{A}]^2 [\text{B}]^{-1}}\). Substitute the units: \("[k] = \frac{\text{mol dm}^{-3} \text{s}^{-1}}{(\text{mol dm}^{-3})^2 \times (\text{mol dm}^{-3})^{-1}} = \frac{\text{mol dm}^{-3} \text{s}^{-1}}{\text{mol dm}^{-3}} = \text{s}^{-1}"\).

Marking scheme

1 mark for performing the correct dimensional analysis to determine the units as s^-1.
Question 15 · Multiple Choice
1 marks
Given the following standard enthalpy changes: 1. \(\Delta H^\theta_c [\text{C(graphite)}] = -393.5 \text{ kJ mol}^{-1}\), 2. \(\Delta H^\theta_c [\text{H}_2\text{(g)}] = -285.8 \text{ kJ mol}^{-1}\), 3. \(\Delta H^\theta_f [\text{C}_3\text{H}_8\text{(g)}] = -103.8 \text{ kJ mol}^{-1}\). What is the standard enthalpy change of combustion of propane, \(\text{C}_3\text{H}_8\text{(g)}\)?
  1. A.\(-575.5 \text{ kJ mol}^{-1}\)
  2. B.\(-2220 \text{ kJ mol}^{-1}\)
  3. C.\(-2428 \text{ kJ mol}^{-1}\)
  4. D.\(-2654 \text{ kJ mol}^{-1}\)
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Worked solution

The equation for the combustion of propane is: \(\text{C}_3\text{H}_8\text{(g)} + 5\text{O}_2\text{(g)} \rightarrow 3\text{CO}_2\text{(g)} + 4\text{H}_2\text{O(l)}\). The enthalpy of combustion of C(graphite) is equal to the enthalpy of formation of \(\text{CO}_2\text{(g)}\), and the enthalpy of combustion of \(\text{H}_2\text{(g)}\) is equal to the enthalpy of formation of \(\text{H}_2\text{O(l)}\). Using Hess's Law: \(\Delta H^\theta_c = [3 \times \Delta H^\theta_f(\text{CO}_2) + 4 \times \Delta H^\theta_f(\text{H}_2\text{O})] - [\Delta H^\theta_f(\text{C}_3\text{H}_8)] = [3 \times (-393.5) + 4 \times (-285.8)] - [-103.8] = -2323.7 + 103.8 = -2219.9 \text{ kJ mol}^{-1}\), which is approximately \(-2220 \text{ kJ mol}^{-1}\).

Marking scheme

1 mark for setting up the correct Hess's law equation and calculating the correct value of -2220 kJ mol-1.
Question 16 · Multiple Choice
1 marks
Which of the following statements correctly describes and explains the trend in the thermal stability of Group 2 nitrates down the group?
  1. A.Thermal stability increases down the group because the ionic radius of the \(M^{2+}\) cation increases, which decreases its polarising power and distorts the nitrate anion less.
  2. B.Thermal stability decreases down the group because the lattice energy of the metal oxide formed increases.
  3. C.Thermal stability increases down the group because the outer shell electrons of the metal are further from the nucleus, requiring more energy to be removed.
  4. D.Thermal stability decreases down the group because the nitrate anion becomes larger and more easily polarised by the cation.
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Worked solution

Down Group 2, the size (ionic radius) of the \(M^{2+}\) cation increases. Because the ionic charge remains \(+2\), the charge density of the cation decreases. This causes the cation to have less polarising power, meaning it distorts the electron cloud of the nitrate anion less. This leaves the covalent bonds within the nitrate anion more intact, requiring higher temperatures (more thermal energy) to decompose the nitrate. Thus, thermal stability increases down the group.

Marking scheme

1 mark for identifying that thermal stability increases down the group and explaining it via the decreasing polarising power of the larger cation.
Question 17 · multiple-choice
1 marks
A 10 cm\(^3\) sample of a gaseous hydrocarbon is completely combusted in 100 cm\(^3\) of oxygen (an excess). After cooling to room temperature, the total volume of gas remaining is 80 cm\(^3\). After passing this gas mixture through aqueous sodium hydroxide, the remaining gas volume is 50 cm\(^3\). What is the molecular formula of the hydrocarbon?
  1. A.CH\(_4\)
  2. B.C\(_2\)H\(_6\)
  3. C.C\(_3\)H\(_6\)
  4. D.C\(_3\)H\(_8\)
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Worked solution

Let the hydrocarbon be C\(_x\)H\(_y\). First, aqueous NaOH absorbs carbon dioxide, CO\(_2\). The decrease in volume upon passing through NaOH is 80 - 50 = 30 cm\(^3\). Thus, 30 cm\(^3\) of CO\(_2\) is produced. Since 10 cm\(^3\) of the hydrocarbon was used, x = 30 / 10 = 3. Next, the remaining 50 cm\(^3\) of gas is unreacted oxygen. The volume of oxygen reacted is 100 - 50 = 50 cm\(^3\). The equation for combustion is C\(_x\)H\(_y\) + (x + y/4)O\(_2\) \(\to\) xCO\(_2\) + (y/2)H\(_2\)O. The ratio of O\(_2\) reacted to hydrocarbon is 50 / 10 = 5. Therefore, x + y/4 = 5. Since x = 3, we have 3 + y/4 = 5, which gives y/4 = 2, so y = 8. The molecular formula is C\(_3\)H\(_8\).

Marking scheme

1 mark: Correctly identifies the volume of CO\(_2\) as 30 cm\(^3\) to find x = 3, and the volume of O\(_2\) reacted as 50 cm\(^3\) to find y = 8, leading to option D.
Question 18 · multiple-choice
1 marks
Concentrated sulfuric acid is added to solid sodium halides. Which observation is correctly matched with the halide and the role of the sulfuric acid?
  1. A.With NaCl, misty fumes of HCl are produced, and sulfuric acid acts as an oxidizing agent.
  2. B.With NaBr, a brown vapour is produced, and sulfuric acid acts only as an acid.
  3. C.With NaI, a purple vapour and a yellow solid are produced, and sulfuric acid acts as an oxidizing agent.
  4. D.With NaF, a colorless gas is produced that does not etch glass, and sulfuric acid acts as a reducing agent.
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Worked solution

Concentrated sulfuric acid acts as an acid with NaCl and NaF, producing misty fumes of HCl and HF, respectively, without redox occurring. With NaBr and NaI, the halide ions are oxidized because they are strong reducing agents. Iodide is strong enough to reduce sulfuric acid to sulfur (a yellow solid) and hydrogen sulfide, while iodide is oxidized to iodine (purple vapour). Thus, sulfuric acid acts as an oxidizing agent, making C the correct statement.

Marking scheme

1 mark: Correctly identifies that concentrated sulfuric acid acts as an oxidizing agent in the reaction with sodium iodide, producing iodine and sulfur.
Question 19 · multiple-choice
1 marks
Which statement correctly explains why transition metal complexes are coloured?
  1. A.d-orbitals are split into two energy levels by ligands, and light is emitted when electrons drop to the lower level.
  2. B.d-orbitals are split into two energy levels by ligands, and light is absorbed when an electron is promoted to the higher level.
  3. C.s-orbitals and d-orbitals mix, allowing transitions that release light in the visible region.
  4. D.Ligands transfer electrons to the metal ion, which directly releases photons of visible light.
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Worked solution

In the presence of ligands, the d-orbitals of a transition metal ion are split into two groups of different energy. When visible light falls on the complex, an electron absorbs a photon of energy corresponding to the difference in energy between the split d-orbitals (\(\Delta E = hf\)) and is promoted from the lower level to the higher level. The light that is not absorbed is transmitted or reflected, which we perceive as the complementary colour.

Marking scheme

1 mark: Correctly identifies d-orbital splitting by ligands and the absorption of light during the promotion of an electron as the cause of colour.
Question 20 · multiple-choice
1 marks
An alkene X has the molecular formula C\(_5\)H\(_{10}\). X reacts with cold, dilute, alkaline KMnO\(_4\) to form a diol which contains two chiral carbon atoms. What is the identity of X?
  1. A.2-methylbut-1-ene
  2. B.2-methylbut-2-ene
  3. C.pent-1-ene
  4. D.pent-2-ene
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Worked solution

Cold, dilute, alkaline KMnO\(_4\) oxidizes alkenes to diols by adding a hydroxyl group (-OH) to each carbon of the double bond. Pent-2-ene is CH\(_3\)CH=CHCH\(_2\)CH\(_3\). Reaction with cold KMnO\(_4\) produces pentane-2,3-diol, CH\(_3\)CH(OH)CH(OH)CH\(_2\)CH\(_3\). In this molecule, C2 is bonded to four different groups (-H, -OH, -CH\(_3\), -CH(OH)CH\(_2\)CH\(_3\)), and C3 is also bonded to four different groups (-H, -OH, -CH\(_2\)CH\(_3\), -CH(OH)CH\(_3\)). Both C2 and C3 are chiral, meaning the diol has two chiral carbon atoms. None of the other isomers form a diol with two chiral carbons.

Marking scheme

1 mark: Deduces that pent-2-ene undergoes dihydroxylation to form pentane-2,3-diol, which has two chiral centres.
Question 21 · multiple-choice
1 marks
In which of the following processes does the transition element undergo the greatest change in oxidation state?
  1. A.Reduction of VO\(_2^+\) to V\(^{2+}\)
  2. B.Oxidation of Cr\(^{3+}\) to Cr\(_2\)O\(_7^{2-}\)
  3. C.Reduction of MnO\(_4^-\) to Mn\(^{2+}\)
  4. D.Oxidation of Fe\(^{2+}\) to Fe\(^{3+}\)
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Worked solution

Let us calculate the change in oxidation state for each process: In VO\(_2^+\), V is +5; it is reduced to V\(^{2+}\) (+2), a change of 3. In Cr\(^{3+}\), Cr is +3; it is oxidized to Cr\(_2\)O\(_7^{2-}\) (+6), a change of 3. In MnO\(_4^-\), Mn is +7; it is reduced to Mn\(^{2+}\) (+2), a change of 5. In Fe\(^{2+}\), Fe is +2; it is oxidized to Fe\(^{3+}\) (+3), a change of 1. The greatest change in oxidation state occurs in process C (change of 5).

Marking scheme

1 mark: Correctly calculates all oxidation state changes and identifies C as the largest change.
Question 22 · multiple-choice
1 marks
For the reaction 2A + B \(\to\) C + D, the rate equation is rate = k[A][B]\(^2\). Under certain conditions, the initial rate of reaction is r. If the concentration of A is doubled and the concentration of B is halved, what is the new initial rate of reaction?
  1. A.0.25r
  2. B.0.5r
  3. C.r
  4. D.2r
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Worked solution

The original rate is given by r = k[A][B]\(^2\). When the concentration of A is doubled, [A]\(_{\text{new}}\) = 2[A]. When the concentration of B is halved, [B]\(_{\text{new}}\) = 0.5[B]. Substituting these into the rate equation gives: rate\(_{\text{new}}\) = k(2[A])(0.5[B])\(^2\) = k \(\times\) 2[A] \(\times\) 0.25[B]\(^2\) = 0.5 \(\times\) k[A][B]\(^2\) = 0.5r. Therefore, the rate is halved.

Marking scheme

1 mark: Uses the rate equation to deduce that doubling [A] and halving [B] results in a rate that is 0.5 times the original.
Question 23 · multiple-choice
1 marks
Which statement about the physical properties of Period 3 elements (Na to Ar) is correct?
  1. A.Silicon has the highest melting point because it has a giant covalent structure.
  2. B.Argon has a higher boiling point than chlorine because it has a larger molecular mass.
  3. C.Sodium has a higher electrical conductivity than aluminium because sodium ions have a smaller charge density.
  4. D.First ionisation energy decreases continuously from sodium to argon.
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Worked solution

Silicon has a giant molecular (covalent) structure with strong covalent bonds extending in three dimensions, which require a massive amount of energy to break, giving it the highest melting point of Period 3. Chlorine (Cl\(_2\)) is a diatomic molecule with more electrons than monatomic Argon (Ar), so chlorine has stronger London dispersion forces and a higher boiling point than argon. Aluminium has more delocalised electrons per atom than sodium, hence higher conductivity. First ionisation energy generally increases across the period with some drops, so it is not continuous.

Marking scheme

1 mark: Recognises that silicon has the highest melting point due to its giant covalent lattice structure.
Question 24 · multiple-choice
1 marks
The standard enthalpy changes of combustion of carbon (graphite), hydrogen gas, and liquid methanol are -394 kJ mol\(^{-1}\), -286 kJ mol\(^{-1}\), and -726 kJ mol\(^{-1}\) respectively. What is the standard enthalpy change of formation of liquid methanol, C(s) + 2H\(_2\)(g) + 1/2 O\(_2\)(g) \(\to\) CH\(_3\)OH(l)?
  1. A.-240 kJ mol\(^{-1}\)
  2. B.+240 kJ mol\(^{-1}\)
  3. C.-952 kJ mol\(^{-1}\)
  4. D.-1406 kJ mol\(^{-1}\)
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Worked solution

By Hess's law, the enthalpy change of formation of a compound can be calculated using enthalpies of combustion of the reactants and products: \(\Delta H_f^\ominus\)[CH\(_3\)OH(l)] = \(\Delta H_c^\ominus\)[C(s)] + 2 \(\times\) \(\Delta H_c^\ominus\)[H\(_2\)(g)] - \(\Delta H_c^\ominus\)[CH\(_3\)OH(l)]. Substituting the values: \(\Delta H_f^\ominus\) = -394 + 2(-286) - (-726) = -394 - 572 + 726 = -240 kJ mol\(^{-1}\).

Marking scheme

1 mark: Correctly applies Hess's law using the combustion data and computes the result as -240 kJ mol\(^{-1}\).
Question 25 · Multiple Choice
1 marks
A \(0.738\text{ g}\) sample of a Group 2 metal carbonate, \(M\text{CO}_3\), was heated strongly until decomposition was complete. Under these conditions, \(120\text{ cm}^3\) of carbon dioxide gas was collected, measured at room temperature and pressure (r.t.p.). Sg (relative atomic masses): \(C = 12.0\), \(O = 16.0\). What is the identity of the metal \(M\)? (Take the molar volume of gas at r.t.p. as \(24.0\text{ dm}^3\text{ mol}^{-1}\))
  1. A.Magnesium
  2. B.Calcium
  3. C.Strontium
  4. D.Barium
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Worked solution

1. Calculate the moles of \(\text{CO}_2\) produced: Moles = Volume / Molar volume = \(0.120\text{ dm}^3 / 24.0\text{ dm}^3\text{ mol}^{-1} = 0.00500\text{ mol}\). 2. The decomposition equation is: \(M\text{CO}_3(\text{s}) \rightarrow M\text{O}(\text{s}) + \text{CO}_2(\text{g})\). Therefore, the moles of \(M\text{CO}_3\) decomposed is also \(0.00500\text{ mol}\). 3. Calculate the molar mass of \(M\text{CO}_3\): \(M_r = \text{mass} / \text{moles} = 0.738\text{ g} / 0.00500\text{ mol} = 147.6\text{ g mol}^{-1}\). 4. Calculate the relative atomic mass of \(M\): \(A_r(M) = M_r(M\text{CO}_3) - M_r(\text{CO}_3^{2-}) = 147.6 - [12.0 + (3 \times 16.0)] = 147.6 - 60.0 = 87.6\). This relative atomic mass corresponds to Strontium (Sr).

Marking scheme

Award 1 mark for the correct option C. Deduce moles of gas, calculate molecular mass of the metal carbonate, and identify the Group 2 metal by its atomic mass.
Question 26 · Multiple Choice
1 marks
The following energy values are given for magnesium chloride, \(\text{MgCl}_2\): Enthalpy of atomisation of magnesium = \(+148\text{ kJ mol}^{-1}\); First ionisation energy of magnesium = \(+738\text{ kJ mol}^{-1}\); Second ionisation energy of magnesium = \(+1450\text{ kJ mol}^{-1}\); Enthalpy of atomisation of chlorine = \(+121\text{ kJ mol}^{-1}\); First electron affinity of chlorine = \(-349\text{ kJ mol}^{-1}\); Lattice energy of \(\text{MgCl}_2(\text{s})\) = \(-2526\text{ kJ mol}^{-1}\). What is the standard enthalpy change of formation of magnesium chloride, \(\Delta H_f^\ominus[\text{MgCl}_2(\text{s})]\)?
  1. A.\(-767\text{ kJ mol}^{-1}\)
  2. B.\(-646\text{ kJ mol}^{-1}\)
  3. C.\(-418\text{ kJ mol}^{-1}\)
  4. D.\(-297\text{ kJ mol}^{-1}\)
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Worked solution

Using the Born-Haber cycle for \(\text{MgCl}_2(\text{s})\): \(\Delta H_f^\ominus = \Delta H_{at}^\ominus[\text{Mg}(\text{s})] + IE_1[\text{Mg}] + IE_2[\text{Mg}] + 2 \times \Delta H_{at}^\ominus[\text{Cl}_2(\text{g})] + 2 \times EA_1[\text{Cl}] + \Delta H_{latt}^\ominus[\text{MgCl}_2(\text{s})]\). Substituting the given values: \(\Delta H_f^\ominus = 148 + 738 + 1450 + 2(121) + 2(-349) + (-2526) = 148 + 738 + 1450 + 242 - 698 - 2526 = -646\text{ kJ mol}^{-1}\).

Marking scheme

Award 1 mark for option B. Method: correctly apply stoichiometric coefficients (multiply chlorine atomisation and electron affinity by 2) and sum the terms according to Hess's law.
Question 27 · Multiple Choice
1 marks
The kinetics of the reaction \(\text{A} + 2\text{B} + \text{C} \rightarrow \text{Products}\) were studied at constant temperature. When the initial concentrations of \(\text{A}\), \(\text{B}\), and \(\text{C}\) are all \(0.10\text{ mol dm}^{-3}\), the initial rate of reaction is \(2.0 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\). Doubling the concentration of \(\text{A}\) doubles the rate. Doubling the concentration of \(\text{B}\) quadruples the rate. Doubling the concentration of \(\text{C}\) has no effect on the rate. What is the value and units of the rate constant, \(k\), for this reaction?
  1. A.\(k = 0.20\text{ dm}^3\text{ mol}^{-1}\text{ s}^{-1}\)
  2. B.\(k = 0.20\text{ dm}^6\text{ mol}^{-2}\text{ s}^{-1}\)
  3. C.\(k = 2.0 \times 10^{-2}\text{ dm}^6\text{ mol}^{-2}\text{ s}^{-1}\)
  4. D.\(k = 2.0 \times 10^{-2}\text{ dm}^3\text{ mol}^{-1}\text{ s}^{-1}\)
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Worked solution

1. Determine the order of reaction: [A] is first order (doubling [A] doubles rate); [B] is second order (doubling [B] quadruples rate); [C] is zero order (doubling [C] has no effect). 2. Write the rate equation: Rate = \(k[\text{A}][\text{B}]^2\). 3. Calculate \(k\) using initial data: \(2.0 \times 10^{-4} = k(0.10)(0.10)^2 \Rightarrow 2.0 \times 10^{-4} = k(1.0 \times 10^{-3}) \Rightarrow k = 0.20\). 4. Units of \(k\) = \(\text{mol dm}^{-3}\text{ s}^{-1} / ((\text{mol dm}^{-3}) \times (\text{mol dm}^{-3})^2) = \text{dm}^6\text{ mol}^{-2}\text{ s}^{-1}\).

Marking scheme

Award 1 mark for option B. Deduce the order with respect to each reactant, set up the rate equation, calculate the numerical value of k, and determine the units of k.
Question 28 · Multiple Choice
1 marks
An organic compound \(X\) has the molecular formula \(\text{C}_5\text{H}_{12}\text{O}\). When \(X\) is heated with acidified potassium dichromate(VI), there is no color change. When \(X\) is heated with concentrated sulfuric acid, a mixture of only two isomeric alkenes (excluding stereoisomers) is formed. What is the identity of compound \(X\)?
  1. A.2-methylbutan-2-ol
  2. B.3-methylbutan-2-ol
  3. C.2-methylbutan-1-ol
  4. D.2,2-dimethylpropan-1-ol
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Worked solution

1. Saturated compound \(X\) resisting oxidation with acidified potassium dichromate(VI) must be a tertiary alcohol. 2. Among the options, only 2-methylbutan-2-ol is a tertiary alcohol (3-methylbutan-2-ol is secondary; 2-methylbutan-1-ol and 2,2-dimethylpropan-1-ol are primary). 3. Dehydration of 2-methylbutan-2-ol yields exactly two structural isomers: 2-methylbut-1-ene and 2-methylbut-2-ene.

Marking scheme

Award 1 mark for option A. Identify that resistance to oxidation confirms the tertiary alcohol structure, and verify the structural isomers formed upon dehydration.
Question 29 · Multiple Choice
1 marks
When a solid sodium halide, \(\text{Na}X\), is reacted with concentrated sulfuric acid, a gas is evolved that turns damp blue litmus paper red but does not bleach it. In addition, purple fumes and a dark grey solid are observed in the reaction vessel. What is the identity of the sodium halide, and what is the role of the sulfuric acid in the formation of the purple fumes?
  1. A.sodium iodide; sulfuric acid acts as an oxidising agent
  2. B.sodium iodide; sulfuric acid acts as a reducing agent
  3. C.sodium bromide; sulfuric acid acts as an oxidising agent
  4. D.sodium bromide; sulfuric acid acts as a reducing agent
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Worked solution

1. The observation of purple fumes and a dark grey solid indicates the production of iodine, \(\text{I}_2\). Thus, the sodium halide must be sodium iodide, \(\text{NaI}\). 2. Concentrated sulfuric acid oxidizes the iodide ions (from hydrogen iodide) to iodine, which means the sulfuric acid acts as an oxidising agent.

Marking scheme

Award 1 mark for option A. Identify the presence of iodine from the physical observations and deduce the redox role of sulfuric acid.
Question 30 · Multiple Choice
1 marks
Which gaseous transition metal ion in its ground state has the same number of unpaired electrons in its \(3d\) subshell as a gaseous \(\text{Co}^{2+}\) ion?
  1. A.\(\text{V}^{3+}\)
  2. B.\(\text{Cr}^{3+}\)
  3. C.\(\text{Fe}^{3+}\)
  4. D.\(\text{Ni}^{2+}\)
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Worked solution

1. Establish the configuration of \(\text{Co}^{2+}\): \(\text{Co}\) is \([\text{Ar}] 3d^7 4s^2\), so \(\text{Co}^{2+}\) is \([\text{Ar}] 3d^7\). Following Hund's rule, a \(3d^7\) subshell contains 3 unpaired electrons. 2. Evaluate the options: \(\text{V}^{3+}\) is \([\text{Ar}] 3d^2\) (2 unpaired); \(\text{Cr}^{3+}\) is \([\text{Ar}] 3d^3\) (3 unpaired); \(\text{Fe}^{3+}\) is \([\text{Ar}] 3d^5\) (5 unpaired); \(\text{Ni}^{2+}\) is \([\text{Ar}] 3d^8\) (2 unpaired). Thus, \(\text{Cr}^{3+}\) also has exactly 3 unpaired d-electrons.

Marking scheme

Award 1 mark for option B. Work out the d-electron configuration and apply Hund's rule to find the number of unpaired electrons in both species.
Question 31 · Multiple Choice
1 marks
Two anhydrous Group 2 nitrates, \(A(\text{NO}_3)_2\) and \(B(\text{NO}_3)_2\), are heated strongly. \(A(\text{NO}_3)_2\) decomposes at a lower temperature than \(B(\text{NO}_3)_2\). A saturated solution of the hydroxide of \(A\) has a lower pH than a saturated solution of the hydroxide of \(B\). Which pair of metals could represent \(A\) and \(B\)?
  1. A.Metal A is Calcium; Metal B is Magnesium
  2. B.Metal A is Barium; Metal B is Calcium
  3. C.Metal A is Magnesium; Metal B is Barium
  4. D.Metal A is Strontium; Metal B is Calcium
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Worked solution

1. Thermal stability of Group 2 nitrates increases down the group because larger cations have lower charge densities and polarise the nitrate ion less. Since \(A\) decomposes at a lower temperature, metal \(A\) must be higher in the group than metal \(B\). 2. Solubility of Group 2 hydroxides increases down the group, so the pH of their saturated solutions increases down the group. Since the hydroxide of \(A\) has a lower pH, it is less soluble, confirming that \(A\) is higher in the group than \(B\). 3. Only option C (where \(A\) is Magnesium and \(B\) is Barium) satisfies this requirement.

Marking scheme

Award 1 mark for option C. Connect thermal stability and hydroxide solubility trends to the vertical positions of the metals in Group 2.
Question 32 · Multiple Choice
1 marks
Methylbenzene reacts with a mixture of concentrated nitric acid and concentrated sulfuric acid at 30 °C to produce mainly 2- and 4-nitrotoluene. In contrast, benzoic acid requires a temperature of 60 °C with the same acids to produce a single major monosubstituted product, Y. What are the directing effects of the methyl and carboxyl groups, and what is the identity of Y?
  1. A.-CH3 is 2,4-directing; -COOH is 3-directing; Y is 3-nitrobenzoic acid
  2. B.-CH3 is 2,4-directing; -COOH is 2,4-directing; Y is 4-nitrobenzoic acid
  3. C.-CH3 is 3-directing; -COOH is 3-directing; Y is 3-nitrobenzoic acid
  4. D.-CH3 is 3-directing; -COOH is 2,4-directing; Y is 2-nitrobenzoic acid
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Worked solution

1. The methyl group on methylbenzene is an electron-donating group, which activates the ring and directs incoming electrophiles to the 2- and 4-positions (2,4-directing). 2. The carboxyl group (-COOH) on benzoic acid is electron-withdrawing, deactivating the ring (requiring a higher reaction temperature of 60 °C) and directing substitution to the 3-position (3-directing). 3. Therefore, the major monosubstituted product Y is 3-nitrobenzoic acid.

Marking scheme

Award 1 mark for option A. State correct directing effects for both activating (-CH3) and deactivating (-COOH) functional groups and identify the correct nitration product.
Question 33 · Multiple Choice
1 marks
When 1.88 g of a metal(II) nitrate, \(M(\text{NO}_3)_2\), is heated strongly, it decomposes completely to give the metal oxide, nitrogen dioxide, and oxygen. The total volume of gas collected at r.t.p. is \(600\text{ cm}^3\). Identify metal \(M\).
  1. A.Magnesium
  2. B.Calcium
  3. C.Copper
  4. D.Zinc
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Worked solution

The decomposition equation for a metal(II) nitrate is:
\(2M(\text{NO}_3)_2(\text{s}) \rightarrow 2MO(\text{s}) + 4\text{NO}_2(\text{g}) + \text{O}_2(\text{g})\)

From the stoichiometry, 2 moles of \(M(\text{NO}_3)_2\) produce 5 moles of gas (4 moles of \(\text{NO}_2\) and 1 mole of \(\text{O}_2\)).

Moles of gas collected = \(\frac{600\text{ cm}^3}{24000\text{ cm}^3\text{ mol}^{-1}} = 0.025\text{ mol}\).

Moles of \(M(\text{NO}_3)_2\) decomposed = \(0.025\text{ mol} \times \frac{2}{5} = 0.010\text{ mol}\).

Molar mass of \(M(\text{NO}_3)_2 = \frac{1.88\text{ g}}{0.010\text{ mol}} = 188\text{ g mol}^{-1}\).

To find the relative atomic mass of metal \(M\):
\(A_r(M) + 2 \times [14.0 + (3 \times 16.0)] = 188\)
\(A_r(M) + 124.0 = 188\)
\(A_r(M) = 64.0\)

This is closest to the relative atomic mass of copper (63.5).

Marking scheme

Award 1 mark for the correct answer (C).
- Method: Calculate moles of gas (0.025 mol), relate to moles of reactant using correct stoichiometry (1:2.5 ratio to find 0.010 mol of nitrate), determine molar mass of nitrate (188 g/mol) and relative atomic mass of M (~64), identifying it as Copper.
Question 34 · Multiple Choice
1 marks
A solid sodium halide \(NaX\) reacts with concentrated sulfuric acid. A gas is evolved that fumes in moist air. When this gas is bubbled into water, it forms an acidic solution which reacts with aqueous silver nitrate to form a precipitate. This precipitate is insoluble in dilute aqueous ammonia but dissolves in concentrated aqueous ammonia. What is the identity of the halide ion \(X^-\)?
  1. A.Fluoride
  2. B.Chloride
  3. C.Bromide
  4. D.Iodide
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Worked solution

When solid sodium bromide, \(\text{NaBr}\), reacts with concentrated sulfuric acid, hydrogen bromide gas (\(\text{HBr}\)) is produced. This gas fumes in moist air.

When \(\text{HBr}\) dissolves in water, it forms hydrobromic acid. Reaction of this acidic solution with aqueous silver nitrate produces a cream precipitate of silver bromide, \(\text{AgBr}\).

Silver bromide (\(\text{AgBr}\)) is insoluble in dilute aqueous ammonia, but dissolves in concentrated aqueous ammonia.

Marking scheme

Award 1 mark for identifying the correct halide ion based on physical characteristics and reactions of halide salts and silver halide precipitates.
Question 35 · Multiple Choice
1 marks
Which statement correctly explains the origin of colour in transition metal complexes?
  1. A.Electrons emit light of a specific wavelength when they drop from a higher d-orbital to a lower d-orbital.
  2. B.Ligands split the d-orbitals into two sets of different energies, and d-d electronic transitions absorb specific wavelengths of visible light.
  3. C.The absorption of visible light causes electrons to be promoted from s-orbitals to d-orbitals.
  4. D.Light is emitted when the coordinate bonds between the metal ion and ligands are formed.
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Worked solution

When ligands coordinate to a transition metal ion, the electric field of the ligands splits the d-orbitals into two sets of non-degenerate energy levels. Electrons can transition between these lower and higher energy d-orbitals (d-d transitions) by absorbing specific wavelengths of light from the visible region. The colour observed is the complementary colour of the absorbed light.

Marking scheme

Award 1 mark for identifying that ligand-induced d-orbital splitting and subsequent d-d electron absorption of visible light explains the color of complexes.
Question 36 · Multiple Choice
1 marks
An alkene \(Y\) with molecular formula \(\text{C}_6\text{H}_{12}\) reacts with hot, concentrated, acidified \(\text{KMnO}_4\) to yield a single organic product, propanone. What is the IUPAC name of \(Y\)?
  1. A.hex-3-ene
  2. B.2,3-dimethylbut-2-ene
  3. C.2-methylpent-2-ene
  4. D.3-methylpent-2-ene
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Worked solution

Hot, concentrated, acidified potassium manganate(VII) cleaves the double bond of an alkene.

Since propanone is a ketone, the carbon atoms on both sides of the double bond must be bonded to two other alkyl groups (i.e., they are disubstituted at each alkenyl carbon).

If the only organic product is propanone, the alkene must be symmetrical and yield two molecules of propanone upon cleavage.

Therefore, the original alkene must be 2,3-dimethylbut-2-ene:
\((\text{CH}_3)_2\text{C}=\text{C}(\text{CH}_3)_2 \rightarrow 2\text{ CH}_3\text{COCH}_3\).

Marking scheme

Award 1 mark for analyzing the oxidative cleavage products to deduce the identity of the symmetrical alkene as 2,3-dimethylbut-2-ene.
Question 37 · Multiple Choice
1 marks
Vanadium species exist in several oxidation states. Which process represents a redox reaction in which the oxidation state of vanadium decreases by exactly 2?
  1. A.\(\text{VO}_2^+ \rightarrow \text{VO}^{2+}\)
  2. B.\(\text{VO}^{2+} \rightarrow \text{V}^{3+}\)
  3. C.\(\text{VO}^{2+} \rightarrow \text{V}^{2+}\)
  4. D.\(\text{VO}_2^+ \rightarrow \text{V}^{2+}\)
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Worked solution

Let's determine the oxidation states of vanadium in the species:
- In \(\text{VO}_2^+\): \(x + 2(-2) = +1 \Rightarrow x = +5\)
- In \(\text{VO}^{2+}\): \(x + (-2) = +2 \Rightarrow x = +4\)
- In \(\text{V}^{3+}\): oxidation state is \(+3\)
- In \(\text{V}^{2+}\): oxidation state is \(+2\)

Now look at the choices:
A) \(\text{VO}_2^+ \rightarrow \text{VO}^{2+}\): +5 to +4 (decrease of 1)
B) \(\text{VO}^{2+} \rightarrow \text{V}^{3+}\): +4 to +3 (decrease of 1)
C) \(\text{VO}^{2+} \rightarrow \text{V}^{2+}\): +4 to +2 (decrease of 2) - Correct!
D) \(\text{VO}_2^+ \rightarrow \text{V}^{2+}\): +5 to +2 (decrease of 3)

Marking scheme

Award 1 mark for calculating the correct oxidation states for vanadium in each species and finding the transition corresponding to a decrease of exactly 2.
Question 38 · Multiple Choice
1 marks
The reaction \(2A + B + 2C \rightarrow \text{Products}\) has the following initial rate data:

- Experiment 1: \([A] = 0.10\text{ mol dm}^{-3}\), \([B] = 0.10\text{ mol dm}^{-3}\), \([C] = 0.10\text{ mol dm}^{-3}\), Rate = \(2.0 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\)
- Experiment 2: \([A] = 0.20\text{ mol dm}^{-3}\), \([B] = 0.10\text{ mol dm}^{-3}\), \([C] = 0.10\text{ mol dm}^{-3}\), Rate = \(8.0 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\)
- Experiment 3: \([A] = 0.10\text{ mol dm}^{-3}\), \([B] = 0.20\text{ mol dm}^{-3}\), \([C] = 0.10\text{ mol dm}^{-3}\), Rate = \(2.0 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\)
- Experiment 4: \([A] = 0.10\text{ mol dm}^{-3}\), \([B] = 0.10\text{ mol dm}^{-3}\), \([C] = 0.20\text{ mol dm}^{-3}\), Rate = \(4.0 \times 10^{-4}\text{ mol dm}^{-3}\text{ s}^{-1}\)

What is the correct rate equation and units for the rate constant, \(k\)?
  1. A.\(\text{Rate} = k[A][B][C]\); units: \(\text{dm}^6\text{mol}^{-2}\text{ s}^{-1}\)
  2. B.\(\text{Rate} = k[A]^2[C]\); units: \(\text{dm}^6\text{mol}^{-2}\text{ s}^{-1}\)
  3. C.\(\text{Rate} = k[A]^2[C]\); units: \(\text{dm}^3\text{mol}^{-1}\text{ s}^{-1}\)
  4. D.\(\text{Rate} = k[A]^2[B][C]\); units: \(\text{dm}^9\text{mol}^{-3}\text{ s}^{-1}\)
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Worked solution

1. Determine the order with respect to each reactant:
- Comparing Expt 1 and Expt 2: \([A]\) is doubled while \([B]\) and \([C]\) remain constant. The rate increases by a factor of 4 (\(\frac{8.0 \times 10^{-4}}{2.0 \times 10^{-4}} = 4\)). Thus, the order with respect to \(A\) is 2.
- Comparing Expt 1 and Expt 3: \([B]\) is doubled while \([A]\) and \([C]\) remain constant. The rate does not change. Thus, the order with respect to \(B\) is 0.
- Comparing Expt 1 and Expt 4: \([C]\) is doubled while \([A]\) and \([B]\) remain constant. The rate doubles (\(\frac{4.0 \times 10^{-4}}{2.0 \times 10^{-4}} = 2\)). Thus, the order with respect to \(C\) is 1.

2. The rate equation is: \(\text{Rate} = k[A]^2[C]\).

3. Determine the units of the rate constant \(k\):
\(k = \frac{\text{Rate}}{[A]^2[C]} = \frac{\text{mol dm}^{-3}\text{ s}^{-1}}{(\text{mol dm}^{-3})^3} = \text{dm}^6\text{mol}^{-2}\text{ s}^{-1}\).

Marking scheme

Award 1 mark for finding the orders of reaction for A, B, and C, formulating the correct rate equation, and correctly deducing the units of k.
Question 39 · Multiple Choice
1 marks
Four elements in Period 3 are listed. Which element has the highest melting point and why?
  1. A.Aluminium, because of its high metallic bonding strength due to three delocalised electrons per atom.
  2. B.Silicon, because of its giant covalent structure with many strong covalent bonds that need to be broken.
  3. C.Phosphorus, because it forms a giant molecular structure with strong covalent bonds.
  4. D.Sulfur, because it exists as \(S_8\) molecules with very strong covalent bonds.
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Worked solution

Melting point depends on structure and bonding:
- Aluminium (metallic) has a high melting point, but it is lower than that of silicon.
- Silicon has a giant covalent macromolecular structure. To melt silicon, many strong, localized covalent bonds must be broken, which requires a huge amount of thermal energy.
- Phosphorus (\(P_4\)) and sulfur (\(S_8\)) are simple molecular elements with low melting points, as only weak London dispersion forces between molecules need to be overcome.

Marking scheme

Award 1 mark for correctly identifying Silicon as having the highest melting point in Period 3 due to its giant covalent structure requiring high energy to break covalent bonds.
Question 40 · Multiple Choice
1 marks
The equation for the combustion of ethanol is:

\(\text{CH}_3\text{CH}_2\text{OH(g)} + 3\text{O}_2\text{(g)} \rightarrow 2\text{CO}_2\text{(g)} + 3\text{H}_2\text{O(g)}\)

Given the following average bond enthalpies (in \(\text{kJ mol}^{-1}\)):
- \(C-H = 413\)
- \(C-C = 347\)
- \(C-O = 358\)
- \(O-H = 464\)
- \(O=O = 498\)
- \(C=O = 805\)

What is the enthalpy change of combustion of gaseous ethanol?
  1. A.\(-1276\text{ kJ mol}^{-1}\)
  2. B.\(-1022\text{ kJ mol}^{-1}\)
  3. C.\(+1276\text{ kJ mol}^{-1}\)
  4. D.\(-2128\text{ kJ mol}^{-1}\)
Show answer & marking scheme

Worked solution

Calculate the energy required to break all reactant bonds:
- In 1 mole of \(\text{CH}_3\text{CH}_2\text{OH(g)}\):
- 5 \(\times C-H\) bonds = \(5 \times 413 = 2065\text{ kJ}\)
- 1 \(\times C-C\) bond = \(1 \times 347 = 347\text{ kJ}\)
- 1 \(\times C-O\) bond = \(1 \times 358 = 358\text{ kJ}\)
- 1 \(\times O-H\) bond = \(1 \times 464 = 464\text{ kJ}\)
- In 3 moles of \(\text{O}_2\):
- 3 \(\times O=O\) bonds = \(3 \times 498 = 1494\text{ kJ}\)
Total energy input (bonds broken) = \(2065 + 347 + 358 + 464 + 1494 = 4728\text{ kJ}\).

Calculate the energy released in forming product bonds:
- In 2 moles of \(\text{CO}_2\):
- 4 \(\times C=O\) bonds = \(4 \times 805 = 3220\text{ kJ}\)
- In 3 moles of \(\text{H}_2\text{O}\):
- 6 \(\times O-H\) bonds = \(6 \times 464 = 2784\text{ kJ}\)
Total energy output (bonds formed) = \(3220 + 2784 = 6004\text{ kJ}\).

Enthalpy change of combustion:
\(\Delta H = \text{Energy input} - \text{Energy output} = 4728 - 6004 = -1276\text{ kJ mol}^{-1}\).

Marking scheme

Award 1 mark for the correct enthalpy change calculation (\(-1276\text{ kJ mol}^{-1}\)).
- Check bonds broken (4728) and bonds formed (6004).
- Correctly use the formula: Bonds Broken - Bonds Formed.

Paper 24 (AS Level Structured)

Answer all structured questions in the spaces provided. Show all mathematical working and write chemical equations where applicable.
4 Question · 60 marks
Question 1 · Structured Short Answer
15 marks
Answer all structured questions in the spaces provided. Show all mathematical working and write chemical equations where applicable.

A sample of basic copper carbonate, \(\text{Cu}_2\text{CO}_3(\text{OH})_2\) (molar mass = 221.0 g mol\(^{-1}\)), is analyzed.

(a) Write a balanced chemical equation for the thermal decomposition of basic copper carbonate, \(\text{Cu}_2\text{CO}_3(\text{OH})_2\), to form copper(II) oxide, carbon dioxide, and water vapor. [2]

(b) A 4.42 g sample of \(\text{Cu}_2\text{CO}_3(\text{OH})_2\) is heated until it decomposes completely.
(i) Calculate the mass of copper(II) oxide, \(\text{CuO}\), formed. [2]
(ii) Calculate the total volume of gas (carbon dioxide and water vapor), in \(\text{dm}^3\), produced, measured at room temperature and pressure (r.t.p.). [Assume 1 mole of gas occupies 24.0 \(\text{dm}^3\) at r.t.p.] [3]

(c) In another analysis, a 0.5525 g sample of \(\text{Cu}_2\text{CO}_3(\text{OH})_2\) is reacted with excess dilute hydrochloric acid.
(i) Write the ionic equation, including state symbols, for the reaction of carbonate ions with aqueous hydrogen ions. [2]
(ii) The resulting solution containing \(\text{Cu}^{2+}\)(aq) is treated with excess potassium iodide, \(\text{KI}\)(aq). This produces a precipitate of copper(I) iodide, \(\text{CuI}\), and iodine, \(\text{I}_2\), according to the equation:
\(2\text{Cu}^{2+}(\text{aq}) + 4\text{I}^-(\text{aq}) \rightarrow 2\text{CuI}(\text{s}) + \text{I}_2(\text{aq})\)
State the role of the \(\text{I}^-\right.\) ions in this reaction with reference to oxidation numbers. [2]
(iii) The iodine produced is titrated against a \(0.100\text{ mol dm}^{-3}\) solution of sodium thiosulfate, \(\text{Na}_2\text{S}_2\text{O}_3\):
\(\text{I}_2(\text{aq}) + 2\text{S}_2\text{O}_3^{2-}(\text{aq}) \rightarrow 2\text{I}^-(\text{aq}) + \text{S}_4\text{O}_6^{2-}(\text{aq})\)
Calculate the volume, in \(\text{cm}^3\), of \(0.100\text{ mol dm}^{-3}\) \(\text{Na}_2\text{S}_2\text{O}_3\) required to react completely with the iodine formed from the 0.5525 g sample. [4]
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Worked solution

Detailed working:
(a) Balancing the atoms gives: \(\text{Cu}_2\text{CO}_3(\text{OH})_2(\text{s}) \rightarrow 2\text{CuO}(\text{s}) + \text{O}_2(\text{g}) + \text{H}_2\text{O}(\text{g})\).
(b)(i) \(n(\text{reactant}) = 4.42 / 221.0 = 0.0200\text{ mol}\). From stoichiometry, \(n(\text{CuO}) = 2 \times 0.0200 = 0.0400\text{ mol}\). \(m(\text{CuO}) = 0.0400 \times 79.5 = 3.18\text{ g}\).
(b)(ii) Total moles of gas = \(n(\text{CO}_2) + n(\text{H}_2\text{O}) = 0.0200 + 0.0200 = 0.0400\text{ mol}\). Volume = \(0.0400 \times 24.0 = 0.960\text{ dm}^3\).
(c)(i) \(\text{CO}_3^{2-}(\text{aq}) + 2\text{H}^+(\text{aq}) \rightarrow \text{CO}_2(\text{g}) + \text{H}_2\text{O}(\text{l})\).
(c)(ii) \(\text{I}^-\right.\) acts as a reducing agent because its oxidation number increases from -1 in \(\text{I}^-\right.\) to 0 in \(\text{I}_2\) (it reduces \(\text{Cu}^{2+}\) to \(\text{Cu}^{+}\)).
(c)(iii) \(n(\text{reactant}) = 0.5525 / 221.0 = 0.00250\text{ mol}\). Thus, \(n(\text{Cu}^{2+}) = 2 \times 0.00250 = 0.00500\text{ mol}\). From the equations, \(2\text{Cu}^{2+} \equiv \text{I}_2 \equiv 2\text{S}_2\text{O}_3^{2-}\), so mole ratio \(\text{Cu}^{2+} : \text{S}_2\text{O}_3^{2-} = 1 : 1\). Therefore, \(n(\text{S}_2\text{O}_3^{2-}) = 0.00500\text{ mol}\). \(V = n / C = 0.00500 / 0.100 = 0.0500\text{ dm}^3 = 50.0\text{ cm}^3\).

Marking scheme

(a) 1 mark for correct formulas of products, 1 mark for correct balancing.
(b)(i) 1 mark for calculating 0.0200 mol of reactant and 0.0400 mol of CuO, 1 mark for mass 3.18 g (accept 3.2 g).
(b)(ii) 1 mark for identifying that 1 mol of reactant yields 2 mol of gas. 1 mark for total gas moles of 0.0400 mol. 1 mark for 0.960 dm3 (or 960 cm3).
(c)(i) 1 mark for correct species and balancing. 1 mark for correct state symbols.
(c)(ii) 1 mark for stating it is a reducing agent. 1 mark for explanation referring to oxidation states change from -1 to 0 (or copper being reduced from +2 to +1).
(c)(iii) 1 mark for calculating moles of copper reactant as 0.00250 mol and Cu2+ as 0.00500 mol. 1 mark for establishing the 1:1 mole ratio between Cu2+ and S2O32-. 1 mark for 0.00500 mol of S2O32-. 1 mark for volume 50.0 cm3.
Question 2 · Structured Short Answer
15 marks
(a) Chlorine, bromine, and iodine display clear trends in their physical and chemical properties.
(i) Describe the trend in the volatility of the group 17 elements down the group, and explain this trend in terms of structure and bonding. [3]
(ii) Chlorine gas reacts with hot, concentrated aqueous sodium hydroxide to undergo a disproportionation reaction.
Write a balanced chemical equation for this reaction and state the oxidation numbers of chlorine in the products to show that this is a disproportionation reaction. [3]

(b) Hydrogen halides, \(\text{HX}\), can be prepared by reacting sodium halides with concentrated acids.
(i) Concentrated phosphoric(V) acid, \(\text{H}_3\text{PO}_4\), is used to prepare hydrogen bromide, \(\text{HBr}\), from sodium bromide, \(\text{NaBr}\). State why concentrated sulfuric acid, \(\text{H}_2\text{SO}_4\), is not suitable for this preparation. Support your answer with a balanced chemical equation showing the reaction between \(\text{H}_2\text{SO}_4\) and \(\text{HBr}\). [3]
(ii) Explain the trend in the thermal stability of the hydrogen halides down Group 17. [3]

(c) When silver nitrate solution, followed by dilute aqueous ammonia, is added to separate aqueous solutions of chloride and bromide ions, distinct observations are recorded.
Complete the description below by stating the color of each precipitate formed and its solubility behavior upon adding dilute aqueous ammonia. [3]
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Worked solution

Detailed working:
(a)(i) Volatility decreases down the group. This is because molecular size increases, meaning there are more electrons per molecule. Consequently, the temporary dipole-induced dipole (London dispersion) forces between the simple molecules become stronger, requiring more energy to overcome.
(a)(ii) \(3\text{Cl}_2 + 6\text{NaOH} \rightarrow 5\text{NaCl} + \text{NaClO}_3 + 3\text{H}_2\text{O}\). Chlorine is reduced to -1 in \(\text{NaCl}\) and oxidized to +5 in \(\text{NaClO}_3\).
(b)(i) \(\text{H}_2\text{SO}_4\) is a strong oxidizing agent that oxidizes \(\text{HBr}\) to \(\text{Br}_2\). Equation: \(2\text{HBr} + \text{H}_2\text{SO}_4 \rightarrow \text{Br}_2 + \text{SO}_2 + 2\text{H}_2\text{O}\).
(b)(ii) The atomic radius of the halogen increases down the group, causing the \(\text{H-X}\) bond length to increase. Longer bonds are weaker and have lower bond energies, so they require less thermal energy to break, decreasing thermal stability.
(c) Chloride ions form a white precipitate of \(\text{AgCl}\), which is soluble in dilute aqueous ammonia. Bromide ions form a cream precipitate of \(\text{AgBr}\), which is insoluble in dilute aqueous ammonia but soluble in concentrated ammonia.

Marking scheme

(a)(i) 1 mark for stating volatility decreases. 1 mark for identifying instantaneous dipole-induced dipole forces between molecules. 1 mark for stating that forces increase with increasing number of electrons down the group.
(a)(ii) 1 mark for the correct balanced equation. 1 mark for identifying -1 oxidation state in NaCl. 1 mark for identifying +5 oxidation state in NaClO3.
(b)(i) 1 mark for stating H2SO4 is an oxidizing agent (or HBr is oxidized). 1 mark for correct species in equation: 2HBr + H2SO4 -> Br2 + SO2 + 2H2O. 1 mark for correct balancing.
(b)(ii) 1 mark for stating thermal stability decreases. 1 mark for stating that halogen atomic size increases down the group. 1 mark for explaining that the H-X bond length increases and therefore bond strength/energy decreases.
(c) 1 mark for chloride forms white ppt that dissolves in dilute NH3. 1 mark for bromide forms cream ppt. 1 mark for bromide ppt remains insoluble in dilute NH3.
Question 3 · Structured Short Answer
15 marks
Compound **A** is a branched alkene with the molecular formula \(\text{C}_5\text{H}_{10}\). When **A** is reacted with hot, concentrated, acidified potassium manganate(VII), \(\text{KMnO}_4\), the carbon-carbon double bond is cleaved to form propanone, \((\text{CH}_3)_2\text{CO}\), and ethanoic acid, \(\text{CH}_3\text{COOH}\).

(a) (i) Deduce the systematic IUPAC name and draw the skeletal structure of Compound **A**. [2]
(ii) State and explain whether Compound **A** exhibits geometrical (cis-trans) isomerism. [2]

(b) When Compound **A** is reacted with cold, dilute, acidified \(\text{KMnO}_4\), Compound **B** is formed.
(i) State the color change observed in the reaction vessel. [1]
(ii) Draw the structural formula of Compound **B** and state the name of its functional group class. [2]

(c) Compound **A** reacts with hydrogen bromide, \(\text{HBr}\), at room temperature to form a mixture of two halogenoalkane isomers, **C** (major product) and **D** (minor product).
(i) Draw the skeletal structures of both **C** and **D**. [2]
(ii) Outline the mechanism for the reaction of Compound **A** with \(\text{HBr}\) to form the major product, **C**. Your mechanism should include relevant dipole charges on \(\text{HBr}\), curly arrows showing the movement of electron pairs, and the structure of the intermediate carbocation. [4]
(iii) Explain, by referring to the stability of the intermediate carbocations, why **C** is the major product of this reaction. [2]
Show answer & marking scheme

Worked solution

Detailed working:
(a)(i) Hot, concentrated oxidation products propanone and ethanoic acid indicate the alkene double bond is between C2 and C3 of a 5-carbon skeleton, and that C2 has two methyl groups. Thus, Compound **A** is 2-methylbut-2-ene.
(a)(ii) It does not show geometrical isomerism because C2 is bonded to two identical groups (two methyl groups).
(b)(i) The purple color of the manganate(VII) solution is decolorized (becomes colorless).
(b)(ii) Cold dilute KMnO4 oxidizes the alkene to a diol. Compound **B** is 2-methylbutane-2,3-diol, structural formula: \((\text{CH}_3)_2\text{C}(\text{OH})\text{CH}(\text{OH})\text{CH}_3\).
(c)(i) Electrophilic addition of HBr yields the major product **C**, 2-bromo-2-methylbutane (from the more stable tertiary carbocation), and minor product **D**, 2-bromo-3-methylbutane (from the secondary carbocation).
(c)(ii) The mechanism proceeds via: 1) Attack of the pi electrons of the C=C double bond on the H delta+ of H-Br, with simultaneous cleavage of the H-Br bond, forming a tertiary carbocation intermediate \((\text{CH}_3)_2\text{C}^+-\text{CH}_2\text{CH}_3\) and a bromide ion. 2) Attack of the bromide ion's lone pair on the carbocation to form the product.
(c)(iii) The tertiary carbocation intermediate is more stable than the alternative secondary carbocation because the three electron-donating alkyl groups reduce the charge density on the positive carbon atom more effectively than two alkyl groups.

Marking scheme

(a)(i) 1 mark for IUPAC name 2-methylbut-2-ene. 1 mark for correct skeletal structure.
(a)(ii) 1 mark for stating it does not exhibit geometrical isomerism. 1 mark for explanation (one of the C=C carbons is bonded to two identical methyl groups).
(b)(i) 1 mark for purple to colorless.
(b)(ii) 1 mark for correct structural formula of 2-methylbutane-2,3-diol. 1 mark for functional group class: diol (accept glycol or alcohol).
(c)(i) 1 mark for skeletal structure of 2-bromo-2-methylbutane (C). 1 mark for skeletal structure of 2-bromo-3-methylbutane (D).
(c)(ii) 1 mark for curly arrow from double bond to H and dipole charges on H-Br. 1 mark for curly arrow breaking H-Br bond. 1 mark for drawing the correct tertiary carbocation intermediate. 1 mark for curly arrow from lone pair on Br- to the C+ of the carbocation.
(c)(iii) 1 mark for stating C is formed via a tertiary carbocation and D via a secondary carbocation. 1 mark for explaining that tertiary carbocations are more stable due to the positive inductive effect of three alkyl groups dispersing the positive charge.
Question 4 · Structured Short Answer
15 marks
(a) Define the term standard enthalpy change of combustion, \(\Delta H_c^\ominus\). [2]

(b) An experiment was carried out to determine the enthalpy change of combustion of ethanol, \(\text{C}_2\text{H}_5\text{OH}\).
A student burned 0.920 g of ethanol in a spirit burner to heat 150.0 g of water in a copper calorimeter. The temperature of the water rose from \(21.5\ ^\circ\text{C}\) to \(54.5\ ^\circ\text{C}\).
The specific heat capacity of water is \(4.18\text{ J g}^{-1}\ \text{K}^{-1}\).
(i) Calculate the heat energy, in \(\text{kJ}\), absorbed by the water. [2]
(ii) Calculate the amount, in moles, of ethanol burned. [1]
(iii) Calculate the experimental enthalpy change of combustion of ethanol, in \(\text{kJ mol}^{-1}\). Include a sign with your answer. [2]
(iv) Suggest one reason, other than heat loss to the surroundings, why the experimental value is less exothermic than the data book value of \(-1367\text{ kJ mol}^{-1}\). [1]

(c) Enthalpy changes that cannot be measured directly by calorimetry can be calculated using Hess's Law cycles.
The standard enthalpy changes of formation, \(\Delta H_f^\ominus\), for some substances are given in the table below.

| Substance | \(\Delta H_f^\ominus\ /\ \text{kJ mol}^{-1}\) |
| --- | --- |
| \(\text{CO}_2\text{(g)}\) | -393.5 |
| \(\text{H}_2\text{O(l)}\) | -285.8 |
| \(\text{C}_3\text{H}_8\text{(g)}\) | -103.8 |

(i) Write a chemical equation for the reaction that represents the standard enthalpy change of formation of propane, \(\text{C}_3\text{H}_8\text{(g)}\). Include state symbols. [2]
(ii) Define Hess's Law. [2]
(iii) Use the data in the table to calculate the standard enthalpy change of combustion of propane, \(\Delta H_c^\ominus[\text{C}_3\text{H}_8\text{(g)}]\). Include a Hess's Law cycle or show clear working. [3]
Show answer & marking scheme

Worked solution

Detailed working:
(a) The standard enthalpy change of combustion, \(\Delta H_c^\ominus\), is the enthalpy change when one mole of a substance is completely burned in excess oxygen under standard conditions of 100 kPa and 298 K.
(b)(i) \(q = m c \Delta T = 150.0 \times 4.18 \times (54.5 - 21.5) = 150.0 \times 4.18 \times 33.0 = 20691\text{ J} = 20.7\text{ kJ}\) (or 20.69 kJ).
(b)(ii) \(M_r(\text{C}_2\text{H}_5\text{OH}) = 46.0\text{ g mol}^{-1}\). \(n = 0.920 / 46.0 = 0.0200\text{ mol}\).
(b)(iii) \(\Delta H_c = -q / n = -20.691 / 0.0200 = -1034.55\text{ kJ mol}^{-1}\), which rounds to \(-1030\text{ kJ mol}^{-1}\) (3 sig fig) or \(-1035\text{ kJ mol}^{-1}\).
(b)(iv) Incomplete combustion of ethanol (forming soot or carbon monoxide), or evaporation of ethanol from the wick of the burner.
(c)(i) \(3\text{C}(\text{s, graphite}) + 4\text{H}_2(\text{g}) \rightarrow \text{C}_3\text{H}_8(\text{g})\) (accept \(\text{s}\) instead of \(\text{s, graphite}\)).
(c)(ii) Hess's Law states that the enthalpy change of a reaction is independent of the pathway or route taken, provided the initial and final states are the same.
(c)(iii) Combustion equation: \(\text{C}_3\text{H}_8(\text{g}) + 5\text{O}_2(\text{g}) \rightarrow 3\text{CO}_2(\text{g}) + 4\text{H}_2\text{O}(\text{l})\).
\(\Delta H_c^\ominus = \sum \Delta H_f^\ominus[\text{products}] - \sum \Delta H_f^\ominus[\text{reactants}] = [3(-393.5) + 4(-285.8)] - [-103.8] = [-1180.5 - 1143.2] + 103.8 = -2323.7 + 103.8 = -2219.9\text{ kJ mol}^{-1}\) (rounds to \(-2220\text{ kJ mol}^{-1}\)).

Marking scheme

(a) 1 mark for 'one mole of substance is completely burned in oxygen'. 1 mark for 'under standard conditions' (or 298 K and 100 kPa).
(b)(i) 1 mark for correct temperature difference of 33.0 K. 1 mark for correct calculation of 20.7 kJ (or 20.69 kJ).
(b)(ii) 1 mark for 0.0200 mol.
(b)(iii) 1 mark for value around 1030 to 1035 kJ mol-1. 1 mark for negative sign.
(b)(iv) 1 mark for incomplete combustion or evaporation of ethanol.
(c)(i) 1 mark for balanced equation. 1 mark for state symbols (s/s,graphite, g, g).
(c)(ii) 1 mark for 'enthalpy change is independent of the route'. 1 mark for 'provided the initial and final states are the same'.
(c)(iii) 1 mark for balanced combustion equation (can be implicit). 1 mark for Hess's Law expression: 3(-393.5) + 4(-285.8) - (-103.8). 1 mark for correct final answer: -2219.9 or -2220 kJ mol-1.

Paper 34 (Practical Skills)

Perform the quantitative volumetric and thermochemical procedures. Complete all calculations and qualitative analysis tests.
3 Question · 39.99 marks
Question 1 · Practical Task
13.33 marks
In this practical task, you will determine the percentage purity by mass of calcium carbonate in a sample of crushed seashell using a back-titration method.

**Procedure**
1. Weigh exactly \(1.50\text{ g}\) of the crushed seashell sample into a clean beaker.
2. Add \(50.0\text{ cm}^3\) of \(1.00\text{ mol dm}^{-3}\) hydrochloric acid, \(\text{HCl}\) (an excess), using a volumetric pipette.
3. Stir the mixture thoroughly until the effervescence completely ceases.
4. Quantitatively transfer the mixture into a \(250.0\text{ cm}^3\) volumetric flask, rinsing the beaker with distilled water, and make up to the calibration mark.
5. Pipette a \(25.0\text{ cm}^3\) portion of this diluted solution into a conical flask and titrate the remaining unreacted \(\text{HCl}\) with \(0.100\text{ mol dm}^{-3}\) sodium hydroxide, \(\text{NaOH}\), using methyl orange as the indicator.

**Results**
- Mass of seashell sample = \(1.50\text{ g}\)
- Volume of standard \(1.00\text{ mol dm}^{-3}\) \(\text{HCl}\) added = \(50.0\text{ cm}^3\)
- Dilution volume = \(250.0\text{ cm}^3\)
- Volume of diluted solution titrated = \(25.0\text{ cm}^3\)
- Average titration volume of \(0.100\text{ mol dm}^{-3}\) \(\text{NaOH}\) required = \(26.00\text{ cm}^3\)

**Calculations**
(a) Calculate the number of moles of \(\text{NaOH}\) used in the titration.
(b) Determine the number of moles of \(\text{HCl}\) present in the \(25.0\text{ cm}^3\) portion of solution titrated.
(c) Calculate the total number of moles of excess \(\text{HCl}\) present in the \(250.0\text{ cm}^3\) volumetric flask.
(d) Calculate the initial number of moles of \(\text{HCl}\) added to the seashell sample.
(e) Calculate the number of moles of \(\text{HCl}\) that reacted with the \(\text{CaCO}_3\) in the seashell sample.
(f) Using the equation:
$$\text{CaCO}_3(\text{s}) + 2\text{HCl}(\text{aq}) \rightarrow \text{CaCl}_2(\text{aq}) + \text{CO}_2(\text{g}) + \text{H}_2\text{O}(\text{l})$$
calculate the mass of \(\text{CaCO}_3\) in the seashell sample. (\(M_r(\text{CaCO}_3) = 100.1\))
(g) Calculate the percentage by mass of \(\text{CaCO}_3\) in the seashell sample.
(h) State the effect (if any) on the calculated percentage purity of \(\text{CaCO}_3\) if the seashell sample was damp when weighed. Explain your answer.
Show answer & marking scheme

Worked solution

(a) Moles of \(\text{NaOH} = c \times V = 0.100\text{ mol dm}^{-3} \times \frac{26.00}{1000}\text{ dm}^3 = 2.60 \times 10^{-3}\text{ mol}\).

(b) Since \(\text{HCl}\) and \(\text{NaOH}\) react in a \(1:1\) ratio:
Moles of \(\text{HCl}\) in \(25.0\text{ cm}^3\) portion = \(2.60 \times 10^{-3}\text{ mol}\).

(c) Moles of excess \(\text{HCl}\) in \(250.0\text{ cm}^3 = 2.60 \times 10^{-3}\text{ mol} \times \frac{250.0}{25.0} = 0.0260\text{ mol}\).

(d) Initial moles of \(\text{HCl}\) added = \(1.00\text{ mol dm}^{-3} \times \frac{50.0}{1000}\text{ dm}^3 = 0.0500\text{ mol}\).

(e) Moles of \(\text{HCl}\) reacted = \(0.0500\text{ mol} - 0.0260\text{ mol} = 0.0240\text{ mol}\).

(f) From the stoichiometry, 1 mole of \(\text{CaCO}_3\) reacts with 2 moles of \(\text{HCl}\):
Moles of \(\text{CaCO}_3 = \frac{0.0240}{2} = 0.0120\text{ mol}\).
Mass of \(\text{CaCO}_3 = n \times M_r = 0.0120\text{ mol} \times 100.1\text{ g mol}^{-1} = 1.2012\text{ g}\).

(g) Percentage by mass of \(\text{CaCO}_3 = \frac{1.2012\text{ g}}{1.50\text{ g}} \times 100\% = 80.08\% \approx 80.1\%\) (to 3 significant figures).

(h) If the sample was damp, the recorded mass of the sample (\(1.50\text{ g}\)) would include water, meaning there is less actual seashell solid weighed. This reduces the actual moles of \(\text{CaCO}_3\) present, which decreases the moles of acid reacted, resulting in a higher excess titre and a lower calculated mass of \(\text{CaCO}_3\). Thus, the calculated percentage purity would decrease.

Marking scheme

1. Correct calculation of moles of \(\text{NaOH}\) [1 Mark]
2. Correct deduction of moles of excess acid in \(25.0\text{ cm}^3\) and scaling to \(250.0\text{ cm}^3\) [2 Marks]
3. Correct calculation of initial moles of acid [1 Mark]
4. Correct determination of moles of acid reacted with seashell [1 Mark]
5. Correct application of stoichiometry (dividing by 2) to find moles of \(\text{CaCO}_3\) [1 Mark]
6. Correct calculation of mass of \(\text{CaCO}_3\) and final percentage purity to 3 significant figures [2 Marks]
7. Correct explanation of the effect of dampness (water adds inactive mass, leading to a smaller mass of carbonate, less acid consumed, larger titre, and lower calculated percentage purity) [2 Marks]
Question 2 · Practical Task
13.33 marks
In this practical task, you will determine the enthalpy change of reaction, \(\Delta H\), when anhydrous sodium carbonate, \(\text{Na}_2\text{CO}_3\), reacts with excess hydrochloric acid.

**Procedure**
1. Measure \(50.0\text{ cm}^3\) of \(2.00\text{ mol dm}^{-3}\) hydrochloric acid using a measuring cylinder and pour it into a polystyrene cup supported in a glass beaker.
2. Measure and record the temperature of the acid in the cup every minute for 3 minutes.
3. At the 4th minute, add exactly \(3.18\text{ g}\) of anhydrous sodium carbonate to the cup and stir continuously.
4. Continue recording the temperature every minute from 5 minutes to 10 minutes.

**Results**
- Temperature at 1 min = \(21.5\ ^\circ\text{C}\)
- Temperature at 2 min = \(21.5\ ^\circ\text{C}\)
- Temperature at 3 min = \(21.5\ ^\circ\text{C}\)
- Temperature at 4 min = [Addition of solid]
- Temperature at 5 min = \(29.5\ ^\circ\text{C}\)
- Temperature at 6 min = \(29.2\ ^\circ\text{C}\)
- Temperature at 7 min = \(28.9\ ^\circ\text{C}\)
- Temperature at 8 min = \(28.6\ ^\circ\text{C}\)
- Temperature at 9 min = \(28.3\ ^\circ\text{C}\)
- Temperature at 10 min = \(28.0\ ^\circ\text{C}\)

**Calculations and Analysis**
(a) State the initial temperature of the hydrochloric acid, the maximum temperature reached, and the temperature change, \(\Delta T\).
(b) Calculate the heat energy change, \(q\), in joules. Assume the specific heat capacity of the solution is \(4.18\text{ J g}^{-1}\ ^\circ\text{C}^{-1}\), the density of the solution is \(1.00\text{ g cm}^{-3}\), and the mass of the solution is equal to the mass of the acid (ignore the mass of the solid).
(c) Calculate the number of moles of \(\text{Na}_2\text{CO}_3\) used. (\(M_r(\text{Na}_2\text{CO}_3) = 106.0\))
(d) Calculate the enthalpy change of reaction, \(\Delta H\), in \(\text{kJ mol}^{-1}\), for the reaction of 1.00 mole of sodium carbonate. Include the appropriate sign.
(e) Calculate the percentage uncertainty in \(\Delta T\). The thermometer has an uncertainty of \(\pm0.1\ ^\circ\text{C}\) for each reading.
(f) Suggest one improvement to the apparatus to reduce heat loss to the surroundings, and state how this improvement would affect the calculated value of \(\Delta H\).
Show answer & marking scheme

Worked solution

(a) Initial temperature = \(21.5\ ^\circ\text{C}\).
Maximum temperature reached = \(29.5\ ^\circ\text{C}\).
Temperature change, \(\Delta T = 29.5 - 21.5 = +8.0\ ^\circ\text{C}\).

(b) \(q = m \cdot c \cdot \Delta T\)
\(m = 50.0\text{ g}\) (since \(50.0\text{ cm}^3\) has density \(1.00\text{ g cm}^{-3}\))
\(q = 50.0\text{ g} \times 4.18\text{ J g}^{-1}\ ^\circ\text{C}^{-1} \times 8.0\ ^\circ\text{C} = 1672\text{ J} = 1.672\text{ kJ}\).

(c) Moles of \(\text{Na}_2\text{CO}_3 = \frac{3.18\text{ g}}{106.0\text{ g mol}^{-1}} = 0.0300\text{ mol}\).

(d) \(\Delta H = -\frac{q}{\text{moles}} = -\frac{1.672\text{ kJ}}{0.0300\text{ mol}} = -55.73\text{ kJ mol}^{-1} \approx -55.7\text{ kJ mol}^{-1}\).

(e) Because two readings are used to find \(\Delta T\) (initial and final), the absolute uncertainty in \(\Delta T\) is \(2 \times 0.1 = \pm0.2\ ^\circ\text{C}\).
Percentage uncertainty = \(\frac{0.2}{8.0} \times 100\% = 2.5\%\).

(f) Improvement: Place a lid on the polystyrene cup or wrap the cup in cotton wool / lagging.
Effect: This minimizes heat loss to the surroundings, resulting in a larger temperature rise (\(\Delta T\)) and making the calculated enthalpy change of reaction more exothermic (more negative).

Marking scheme

1. Correct values for initial temperature, maximum temperature, and \(\Delta T\) (+8.0 °C) [1 Mark]
2. Correct calculation of \(q\) (1670 J or 1.67 kJ) with correct units [2 Marks]
3. Correct calculation of moles of carbonate (0.0300 mol) [1 Mark]
4. Correct calculation of \(\Delta H\) with negative sign (\(-55.7\text{ kJ mol}^{-1}\)) [2 Marks]
5. Correct calculation of percentage uncertainty in temperature change (2.5%) accounting for two thermometer readings [2 Marks]
6. Identifies a suitable experimental modification to reduce heat loss (e.g. lid / lagging) [1 Mark]
7. Explains that reducing heat loss increases \(\Delta T\) and makes the calculated \(\Delta H\) more negative (more exothermic) [1 Mark]
Question 3 · Practical Task
13.33 marks
In this practical task, you will investigate how the concentration of sodium thiosulfate, \(\text{Na}_2\text{S}_2\text{O}_3\), affects the rate of its reaction with hydrochloric acid:
$$\text{Na}_2\text{S}_2\text{O}_3(\text{aq}) + 2\text{HCl}(\text{aq}) \rightarrow 2\text{NaCl}(\text{aq}) + \text{S}(\text{s}) + \text{SO}_2(\text{g}) + \text{H}_2\text{O}(\text{l})$$

The rate of reaction can be measured as \(\text{rate} \approx \frac{1}{t}\), where \(t\) is the time taken for a black cross marked on a piece of paper beneath the reaction flask to become obscured by the sulfur precipitate.

**Procedure**
A student prepares different mixtures of \(0.100\text{ mol dm}^{-3}\) sodium thiosulfate and distilled water to a constant volume of \(50.0\text{ cm}^3\), then adds \(10.0\text{ cm}^3\) of \(1.00\text{ mol dm}^{-3}\) hydrochloric acid to start the reaction.

**Results**
- **Experiment 1**: Volume of \(\text{Na}_2\text{S}_2\text{O}_3 = 40.0\text{ cm}^3\); Volume of water = \(10.0\text{ cm}^3\); Time \(t = 25.0\text{ s}\)
- **Experiment 2**: Volume of \(\text{Na}_2\text{S}_2\text{O}_3 = 30.0\text{ cm}^3\); Volume of water = \(20.0\text{ cm}^3\); Time \(t = 33.3\text{ s}\)
- **Experiment 3**: Volume of \(\text{Na}_2\text{S}_2\text{O}_3 = 20.0\text{ cm}^3\); Volume of water = \(30.0\text{ cm}^3\); Time \(t = 50.0\text{ s}\)
- **Experiment 4**: Volume of \(\text{Na}_2\text{S}_2\text{O}_3 = 10.0\text{ cm}^3\); Volume of water = \(40.0\text{ cm}^3\); Time \(t = 100.0\text{ s}\)

**Analysis**
(a) Calculate the concentration of \(\text{Na}_2\text{S}_2\text{O}_3\) in the final reaction mixture (total volume = \(60.0\text{ cm}^3\)) for each of the four experiments.
(b) Calculate the rate value as \(\frac{1}{t}\) (in \(\text{s}^{-1}\)) for each experiment to 3 significant figures.
(c) Sketch the shape of the graph you would expect if you plotted \(\frac{1}{t}\) (y-axis) against the final concentration of \(\text{Na}_2\text{S}_2\text{O}_3\) (x-axis).
(d) Deduce the order of reaction with respect to sodium thiosulfate from these results. Explain your reasoning.
(e) State why the total volume of the reaction mixture was kept constant at \(60.0\text{ cm}^3\).
(f) Explain why the percentage error in measuring the time for Experiment 4 is likely to be different compared to Experiment 1.
Show answer & marking scheme

Worked solution

(a) Concentrations of \(\text{Na}_2\text{S}_2\text{O}_3\):
- Exp 1: \(0.100\text{ mol dm}^{-3} \times \frac{40.0}{60.0} = 0.0667\text{ mol dm}^{-3}\)
- Exp 2: \(0.100\text{ mol dm}^{-3} \times \frac{30.0}{60.0} = 0.0500\text{ mol dm}^{-3}\)
- Exp 3: \(0.100\text{ mol dm}^{-3} \times \frac{20.0}{60.0} = 0.0333\text{ mol dm}^{-3}\)
- Exp 4: \(0.100\text{ mol dm}^{-3} \times \frac{10.0}{60.0} = 0.0167\text{ mol dm}^{-3}\)

(b) Rates (\(\frac{1}{t}\)):
- Exp 1: \(\frac{1}{25.0} = 0.0400\text{ s}^{-1}\)
- Exp 2: \(\frac{1}{33.3} = 0.0300\text{ s}^{-1}\)
- Exp 3: \(\frac{1}{50.0} = 0.0200\text{ s}^{-1}\)
- Exp 4: \(\frac{1}{100.0} = 0.0100\text{ s}^{-1}\)

(c) The graph would be a straight line passing through the origin, as \(\frac{1}{t}\) is directly proportional to concentration.

(d) The order of reaction is 1 (first-order). This is because doubling the concentration of sodium thiosulfate (e.g., from Exp 4 to Exp 3: \(0.0167\) to \(0.0333\text{ mol dm}^{-3}\)) doubles the rate of reaction (from \(0.0100\) to \(0.0200\text{ s}^{-1}\)).

(e) Keeping the total volume constant ensures that the concentration of the other reactant (\(\text{HCl}\)) is kept constant, so that any change in rate can be solely attributed to the change in sodium thiosulfate concentration.

(f) For Experiment 4, the reaction is much slower, so the end-point is less distinct because the sulfur precipitate forms very gradually. This increases human reaction-time uncertainty in determining exactly when the cross is completely obscured, leading to a higher human error. (Alternatively, the percentage error in stopwatch timing itself is lower because \(100\text{ s}\) is longer, but the visual judgment error is much larger.)

Marking scheme

1. Correct calculations of final concentration of sodium thiosulfate for all 4 experiments [2 Marks]
2. Correct calculations of \(\frac{1}{t}\) to 3 significant figures [2 Marks]
3. Describes or sketches a straight line through the origin [1 Mark]
4. Correctly deduces first-order kinetics with a logical explanation based on proportional changes [2 Marks]
5. Explains the necessity of keeping total volume constant (to control the concentration of hydrochloric acid) [2 Marks]
6. Explains that slower reactions have a less distinct end-point where the cross fades gradually, leading to greater human observation error [1 Mark]

Paper 44 (A Level Structured)

Complete all A-Level structured theory questions. Clear logical working must be presented for all numeric problems.
8 Question · 100 marks
Question 1 · Structured Short Answer
12.5 marks
The reaction between reactant \(X\) and reactant \(Y\) in acidic solution is investigated:
\[ 2X + 2Y + 2\text{H}^+ \rightarrow Z + 2\text{H}_2\text{O} \]
The initial rate of reaction was measured in a series of experiments at 298 K.

| Experiment | \([X]\) / \(\text{mol dm}^{-3}\) | \([Y]\) / \(\text{mol dm}^{-3}\) | \([\text{H}^+]\) / \(\text{mol dm}^{-3}\) | Initial rate / \(\text{mol dm}^{-3}\text{ s}^{-1}\) |
| :--- | :--- | :--- | :--- | :--- |
| 1 | 0.10 | 0.10 | 0.10 | \(1.20 \times 10^{-4}\) |
| 2 | 0.20 | 0.10 | 0.10 | \(2.40 \times 10^{-4}\) |
| 3 | 0.20 | 0.20 | 0.10 | \(9.60 \times 10^{-4}\) |
| 4 | 0.10 | 0.10 | 0.20 | \(1.20 \times 10^{-4}\) |

(a) Deduce the order of reaction with respect to \(X\), \(Y\), and \(\text{H}^+\). Explain your reasoning.

(b) Write the rate equation for this reaction.

(c) Calculate the rate constant, \(k\), using the data from Experiment 1, and state its units.

(d) Suggest a reaction mechanism that is consistent with the rate equation, clearly identifying the rate-determining step.

(e) Explain, using the concept of activation energy, how temperature affects the value of the rate constant, \(k\).
Show answer & marking scheme

Worked solution

(a)
- Comparing Experiment 1 and Experiment 2: \([Y]\) and \([\text{H}^+]\) are constant. When \([X]\) doubles from 0.10 to 0.20 \(\text{mol dm}^{-3}\), the initial rate doubles from \(1.20 \times 10^{-4}\) to \(2.40 \times 10^{-4}\) \(\text{mol dm}^{-3}\text{ s}^{-1}\). Therefore, the order with respect to \(X\) is 1.
- Comparing Experiment 2 and Experiment 3: \([X]\) and \([\text{H}^+]\) are constant. When \([Y]\) doubles from 0.10 to 0.20 \(\text{mol dm}^{-3}\), the initial rate quadruples from \(2.40 \times 10^{-4}\) to \(9.60 \times 10^{-4}\) \(\text{mol dm}^{-3}\text{ s}^{-1}\). Therefore, the order with respect to \(Y\) is 2.
- Comparing Experiment 1 and Experiment 4: \([X]\) and \([Y]\) are constant. When \([\text{H}^+]\) doubles from 0.10 to 0.20 \(\text{mol dm}^{-3}\), the initial rate remains unchanged. Therefore, the order with respect to \([\text{H}^+]\) is 0.

(b) Rate = \(k[X][Y]^2\)

(c) Using the data from Experiment 1:
\[ 1.20 \times 10^{-4} = k(0.10)(0.10)^2 \]
\[ k = \frac{1.20 \times 10^{-4}}{1.0 \times 10^{-3}} = 0.12 \]
Units of \(k\): \(\text{dm}^6 \text{mol}^{-2} \text{s}^{-1}\)

(d) A possible mechanism must involve 1 molecule of \(X\) and 2 molecules of \(Y\) in the rate-determining step:
- Step 1 (Slow / Rate-determining step):
\[ X + 2Y \rightarrow \text{Intermediate} \]
- Step 2 (Fast):
\[ \text{Intermediate} + 2\text{H}^+ \rightarrow Z + 2\text{H}_2\text{O} \]

(e) An increase in temperature increases the average kinetic energy of the particles. Consequently, a significantly larger fraction of reactant molecules possess kinetic energy greater than or equal to the activation energy, \(E_a\). This leads to a higher frequency of successful, effective collisions, resulting in an exponential increase in the rate constant, \(k\).

Marking scheme

(a) [3 marks]:
- 1 mark for order wrt X = 1 with a correct comparison explanation (Exp 1 and 2).
- 1 mark for order wrt Y = 2 with a correct comparison explanation (Exp 2 and 3).
- 1 mark for order wrt H+ = 0 with a correct comparison explanation (Exp 1 and 4).

(b) [1 mark]:
- 1 mark for correct rate equation: Rate = k[X][Y]^2 (allow error-carried-forward from part a).

(c) [3 marks]:
- 2 marks for calculation (1 mark for working, 1 mark for 0.12).
- 1 mark for correct units (dm6 mol-2 s-1).

(d) [2.5 marks]:
- 1.5 marks for proposing a plausible two-step mechanism where the slow step involves only 1 X and 2 Y.
- 1 mark for clearly labeling the slow step as the rate-determining step.

(e) [3 marks]:
- 1 mark for stating that increasing temperature increases the fraction of molecules with energy >= Ea.
- 1 mark for mentioning the frequency of successful collisions increases.
- 1 mark for stating that the rate constant, k, increases.
Question 2 · Structured Short Answer
12.5 marks
(a) Define standard electrode potential.

(b) Describe, with the aid of a fully labeled diagram, the experimental setup used to measure the standard electrode potential of the \(\text{Fe}^{3+}(\text{aq})/\text{Fe}^{2+}(\text{aq})\) half-cell relative to the standard hydrogen electrode (SHE). Include details of the concentrations and conditions required.

(c) The standard electrode potential for the \(\text{Cu}^{2+}/\text{Cu}\) half-cell is \(+0.34\text{ V}\).
Calculate the electrode potential, \(E\), of a copper half-cell at 298 K if the concentration of \(\text{Cu}^{2+}(\text{aq})\) is \(0.015\text{ mol dm}^{-3}\).
Use the Nernst equation: \(E = E^\ominus + \frac{0.059}{z}\log[\text{Cu}^{2+}]\).

(d) Predict whether \(\text{Fe}^{3+}(\text{aq})\) can oxidize \(\text{I}^-(\text{aq})\) to \(\text{I}_2(\text{aq})\) under standard conditions. Support your answer with a cell potential calculation using the standard electrode potentials:
\(E^\ominus(\text{Fe}^{3+}/\text{Fe}^{2+}) = +0.77\text{ V}\)
\(E^\ominus(\text{I}_2/\text{I}^-) = +0.54\text{ V}\)
Show answer & marking scheme

Worked solution

(a) Standard electrode potential, \(E^\ominus\), is the electromotive force (emf) of a half-cell coupled to a standard hydrogen electrode (SHE) measured under standard conditions of 298 K temperature, 1 atm gas pressure, and all aqueous solutions at \(1.0\text{ mol dm}^{-3}\).

(b) The experimental setup consists of two half-cells connected by a high-resistance voltmeter and a salt bridge:
- Standard Hydrogen Electrode (left): Platinum electrode in contact with \(1.0\text{ mol dm}^{-3}\ \text{H}^+(\text{aq})\) solution, with hydrogen gas bubbled over the electrode at 1 atm.
- \(\text{Fe}^{3+}/\text{Fe}^{2+}\) half-cell (right): Platinum electrode immersed in a solution containing both \(1.0\text{ mol dm}^{-3}\ \text{Fe}^{2+}(\text{aq})\) and \(1.0\text{ mol dm}^{-3}\ \text{Fe}^{3+}(\text{aq})\) ions.
- Connection: A high-resistance voltmeter connects the two platinum electrodes, and a salt bridge filled with saturated \(\text{KNO}_3\) solution links the two solutions.
- Conditions: The entire system is kept at a constant temperature of 298 K.

(c) For the reduction: \(\text{Cu}^{2+}(\text{aq}) + 2e^- \rightleftharpoons \text{Cu}(\text{s})\), the number of transferred electrons \(z = 2\).
Using the Nernst equation:
\[ E = +0.34 + \frac{0.059}{2}\log(0.015) \]
\[ E = +0.34 + 0.0295 \times (-1.8239) \]
\[ E = +0.34 - 0.0538 = +0.286\text{ V} \] (or \(+0.29\text{ V}\))

(d) The cell reaction is: \(2\text{Fe}^{3+}(\text{aq}) + 2\text{I}^-(\text{aq}) \rightarrow 2\text{Fe}^{2+}(\text{aq}) + \text{I}_2(\text{aq})\).
\[ E^\ominus_{\text{cell}} = E^\ominus_{\text{reduction}} - E^\ominus_{\text{oxidation}} \]
\[ E^\ominus_{\text{cell}} = E^\ominus(\text{Fe}^{3+}/\text{Fe}^{2+}) - E^\ominus(\text{I}_2/\text{I}^-) = +0.77\text{ V} - (+0.54\text{ V}) = +0.23\text{ V} \]
Since \(E^\ominus_{\text{cell}}\) is positive (\(E^\ominus_{\text{cell}} > 0\)), \(\text{Fe}^{3+}(\text{aq})\) can oxidize \(\text{I}^-(\text{aq})\) under standard conditions. The reaction is feasible.

Marking scheme

(a) [2 marks]:
- 1 mark for voltage/emf measured relative to a standard hydrogen electrode.
- 1 mark for specifying standard conditions (298 K, 1 atm, 1.0 mol dm-3).

(b) [4.5 marks]:
- 1 mark for a correct, labeled diagram of the SHE (Pt electrode, H2 inlet, H+ solution).
- 1 mark for a correct, labeled diagram of the Fe3+/Fe2+ half-cell (Pt electrode, solution of Fe3+ and Fe2+).
- 1 mark for high-resistance voltmeter and salt bridge shown correctly connecting the half-cells.
- 1.5 marks for specifying concentrations of 1.0 mol dm-3 for H+, Fe2+, Fe3+, H2 pressure at 1 atm, and temperature at 298 K.

(c) [3 marks]:
- 1 mark for identifying z = 2.
- 1 mark for substitution and calculating log(0.015) = -1.82.
- 1 mark for the final answer of +0.286 V (or +0.29 V).

(d) [3 marks]:
- 1 mark for stating the correct half-equations and identifying the oxidation/reduction couples.
- 1 mark for calculating E_cell = +0.23 V.
- 1 mark for concluding that the reaction is feasible because E_cell is positive.
Question 3 · Structured Short Answer
12.5 marks
(a) Explain why aqueous solutions of many transition metal complex ions are colored.

(b) The bidentate ligand ethylenediamine, \(\text{H}_2\text{NCH}_2\text{CH}_2\text{NH}_2\) (abbreviated as 'en'), reacts with cobalt(III) ions and chloride ions to form the octahedral complex ion \([\text{Co}(\text{en})_2\text{Cl}_2]^+\).
(i) Draw the 3D structures of the optical isomers of \([\text{Co}(\text{en})_2\text{Cl}_2]^+\). Use simplified loops to represent 'en'.
(ii) State which stereoisomer (cis or trans) of \([\text{Co}(\text{en})_2\text{Cl}_2]^+\), if any, does not exhibit optical isomerism. Explain your choice.

(c) The stability constant, \(K_{\text{stab}}\), for the formation of \([\text{Cu}(\text{NH}_3)_4(\text{H}_2\text{O})_2]^{2+}\) from \([\text{Cu}(\text{H}_2\text{O})_6]^{2+}\) is \(1.2 \times 10^{13}\text{ dm}^{12}\text{ mol}^{-4}\).
(i) Write the expression for \(K_{\text{stab}}\) for this ligand exchange reaction.
(ii) Use the value of \(K_{\text{stab}}\) to explain what happens when excess ammonia is added to an aqueous solution of copper(II) sulfate.
Show answer & marking scheme

Worked solution

(a)
- Transition metals have partially filled d-orbitals.
- Ligands bond to the central metal ion using dative covalent bonds, which splits the degenerate 3d orbitals into two sets of different energy levels (separated by energy gap \(\Delta E\)).
- Electrons absorb a photon of light in the visible spectrum to undergo d-d transition (promotion from lower 3d orbital to higher 3d orbital).
- The complementary color of the light absorbed is observed.

(b)(i) Only the cis isomer exhibits optical isomerism as it is chiral and lacks a plane of symmetry. The 3D structures of the optical isomers are non-superimposable mirror images:
- Left diagram: Cobalt is central. Two Cl- ligands are placed on adjacent octahedral vertices (cis positions). Two 'en' loops connect the remaining positions.
- Right diagram: This is the exact non-superimposable mirror image of the left diagram.

(b)(ii) The trans isomer does not show optical isomerism. In the trans isomer, the two Cl- ligands are located on opposite octahedral vertices (180 degrees apart), giving the molecule a plane of symmetry which makes it achiral.

(c)(i) The ligand exchange reaction is:
\[ [\text{Cu}(\text{H}_2\text{O})_6]^{2+} + 4\text{NH}_3 \rightleftharpoons [\text{Cu}(\text{NH}_3)_4(\text{H}_2\text{O})_2]^{2+} + 4\text{H}_2\text{O} \]
\[ K_{\text{stab}} = \frac{[[\text{Cu}(\text{NH}_3)_4(\text{H}_2\text{O})_2]^{2+}]}{[[\text{Cu}(\text{H}_2\text{O})_6]^{2+}][\text{NH}_3]^4} \]

(c)(ii) Adding excess ammonia causes a ligand exchange where ammonia molecules replace water ligands. Because the value of \(K_{\text{stab}}\) is extremely large (\(1.2 \times 10^{13}\)), the position of equilibrium lies heavily to the right, converting the light-blue aqueous hexaaquacopper(II) complex completely into the deep-blue tetraaminediaquacopper(II) complex.

Marking scheme

(a) [4 marks]:
- 1 mark for d-orbital splitting by ligands.
- 1 mark for d-d promotion / absorption of visible light.
- 1 mark for stating energy of photon absorbed matches the gap ΔE.
- 1 mark for mentioning the observed color is complementary to the absorbed color.

(b)(i) [3 marks]:
- 2 marks for drawing two 3D octahedral structures of the cis-isomer showing ethylenediamine as bidentate loops.
- 1 mark for showing them as non-superimposable mirror images.

(b)(ii) [1.5 marks]:
- 0.5 marks for identifying the trans-isomer.
- 1 mark for explaining that it contains a plane of symmetry / is achiral.

(c)(i) [2 marks]:
- 1 mark for correct numerator and denominator.
- 1 mark for omitting H2O concentration from the expression.

(c)(ii) [2 marks]:
- 1 mark for stating that ammonia replaces water because the copper-ammonia complex is much more stable (very high Kstab).
- 1 mark for describing the color change from light-blue solution to deep-blue solution.
Question 4 · Structured Short Answer
12.5 marks
Calcium sulfide, \(\text{CaS}\), is an ionic solid. A Born-Haber cycle can be constructed to study its energetics.
(a) Define the term lattice energy.

(b) Construct a fully labeled Born-Haber cycle for the formation of solid calcium sulfide, \(\text{CaS}(\text{s})\), from its elements in their standard states. State the names or symbols of all enthalpy changes involved.

(c) Use the following data to calculate the second electron affinity of sulfur, \(\Delta H^\ominus_{\text{ea2}}(\text{S})\):
- Enthalpy change of formation of \(\text{CaS}(\text{s}) = -482\text{ kJ mol}^{-1}\)
- Enthalpy change of atomisation of \(\text{Ca}(\text{s}) = +178\text{ kJ mol}^{-1}\)
- First ionisation energy of \(\text{Ca}(\text{g}) = +590\text{ kJ mol}^{-1}\)
- Second ionisation energy of \(\text{Ca}(\text{g}) = +1145\text{ kJ mol}^{-1}\)
- Enthalpy change of atomisation of \(\text{S}(\text{s}) = +279\text{ kJ mol}^{-1}\)
- First electron affinity of \(\text{S}(\text{g}) = -200\text{ kJ mol}^{-1}\)
- Lattice energy of \(\text{CaS}(\text{s}) = -3013\text{ kJ mol}^{-1}\)

(d) Explain why the lattice energy of calcium sulfide, \(\text{CaS}\) (\(-3013\text{ kJ mol}^{-1}\)), is much more exothermic than the lattice energy of potassium sulfide, \(\text{K}_2\text{S}\) (\(-2052\text{ kJ mol}^{-1}\)).
Show answer & marking scheme

Worked solution

(a) Lattice energy is the enthalpy change when one mole of an ionic crystalline solid is formed from its constituent gaseous ions under standard conditions.

(b) The Born-Haber cycle consists of the following steps:
- Starting elements: \(\text{Ca}(\text{s}) + \text{S}(\text{s})\)
- Direct path: Formation of \(\text{CaS}(\text{s})\) \((\Delta H^\ominus_f)\)
- Step 1: Atomisation of Ca: \(\text{Ca}(\text{s}) \rightarrow \text{Ca}(\text{g})\) \((\Delta H^\ominus_{at}[\text{Ca}])\)
- Step 2: 1st and 2nd Ionisation of Ca: \(\text{Ca}(\text{g}) \rightarrow \text{Ca}^{2+}(\text{g}) + 2e^-\rightleftharpoons\) \((\text{IE}_1 + \text{IE}_2)\)
- Step 3: Atomisation of S: \(\text{S}(\text{s}) \rightarrow \text{S}(\text{g})\) \((\Delta H^\ominus_{at}[\text{S}])\)
- Step 4: 1st Electron Affinity of S: \(\text{S}(\text{g}) + e^- \rightarrow \text{S}^-(\text{g})\) \((\text{EA}_1)\)
- Step 5: 2nd Electron Affinity of S: \(\text{S}^-(\text{g}) + e^- \rightarrow \text{S}^{2-}(\text{g})\) \((\text{EA}_2)\)
- Step 6: Lattice formation: \(\text{Ca}^{2+}(\text{g}) + \text{S}^{2-}(\text{g}) \rightarrow \text{CaS}(\text{s})\) \((\Delta H^\ominus_{\text{latt}})\)

(c) Using Hess's Law:
\[ \Delta H^\ominus_f = \Delta H^\ominus_{at}(\text{Ca}) + \text{IE}_1(\text{Ca}) + \text{IE}_2(\text{Ca}) + \Delta H^\ominus_{at}(\text{S}) + \text{EA}_1(\text{S}) + \text{EA}_2(\text{S}) + \Delta H^\ominus_{\text{latt}} \]
\[ -482 = 178 + 590 + 1145 + 279 + (-200) + \text{EA}_2(\text{S}) + (-3013) \]
\[ -482 = -1021 + \text{EA}_2(\text{S}) \]
\[ \text{EA}_2(\text{S}) = -482 + 1021 = +539\text{ kJ mol}^{-1} \]

(d) The calcium ion, \(\text{Ca}^{2+}\), has a higher ionic charge (\(+2\)) compared to the potassium ion, \(\text{K}^+\) (\(+1\)). Additionally, \(\text{Ca}^{2+}\) has a smaller ionic radius than \(\text{K}^+\). Consequently, the charge density of \(\text{Ca}^{2+}\) is much higher, which results in significantly stronger electrostatic attractions between \(\text{Ca}^{2+}\) and \(\text{S}^{2-}\) in the crystal lattice of \(\text{CaS}\), making the lattice energy much more exothermic.

Marking scheme

(a) [2 marks]:
- 1 mark for the enthalpy change when 1 mole of solid ionic crystal is formed.
- 1 mark for stating that the starting reactants are gaseous ions.

(b) [4.5 marks]:
- 1.5 marks for all chemical formulas and states correct at each energy level.
- 1.5 marks for correct directions of all arrows in the cycle.
- 1.5 marks for correct labels of all enthalpy steps.

(c) [4 marks]:
- 1 mark for the correct algebraic expression of Hess's Law.
- 2 marks for correct calculation working.
- 1 mark for the final value of +539 kJ mol-1 with the correct sign.

(d) [2 marks]:
- 1 mark for stating that Ca2+ has a higher charge and smaller radius (higher charge density) than K+.
- 1 mark for concluding that this results in stronger ionic attractions/bonding in CaS.
Question 5 · Structured Short Answer
12.5 marks
Methylbenzene, \(\text{C}_6\text{H}_5\text{CH}_3\), undergoes electrophilic aromatic substitution reactions.
(a) Write equations to show how the electrophile, \(\text{NO}_2^+\), is generated from a mixture of concentrated nitric acid and concentrated sulfuric acid.

(b) Outline the mechanism for the mononation of methylbenzene to form 4-nitromethylbenzene (para-nitrotoluene). Draw the structures of any intermediates and use curly arrows to show the movement of electron pairs.

(c) Explain why the methyl group is 2,4-directing in electrophilic substitution.

(d) Compare the relative ease of electrophilic substitution of benzene, methylbenzene, and phenol. Explain your answer in terms of the electronic structure of these molecules.
Show answer & marking scheme

Worked solution

(a) Nitric acid acts as a base and is protonated by sulfuric acid:
\[ \text{HNO}_3 + 2\text{H}_2\text{SO}_4 \rightarrow \text{NO}_2^+ + \text{H}_3\text{O}^+ + 2\text{HSO}_4^- \]
(Or simply: \(\text{HNO}_3 + \text{H}_2\text{SO}_4 \rightarrow \text{NO}_2^+ + \text{HSO}_4^- + \text{H}_2\text{O}\))

(b) Mechanism of mononation:
- Step 1: Curly arrow starting from the delocalised \(\pi\)-system of the methylbenzene ring to the nitrogen atom of the \(\text{NO}_2^+\) electrophile.
- Step 2: Draw the intermediate arenium carbocation, showing a partial ring with a positive charge in the center, open towards Carbon-4. Both hydrogen and the \(\text{NO}_2\) group must be shown bonded to Carbon-4.
- Step 3: A curly arrow from the C-H bond on Carbon-4 back into the ring, restoring the aromatic system, yielding 4-nitromethylbenzene and releasing \(\text{H}^+\).

(c) The methyl group is an electron-donating group through a positive inductive effect (\(+I\)). This electron donation increases the electron density on the benzene ring, specifically stabilizing the intermediate carbocations when the electrophile attacks positions 2 and 4.

(d)
- Reactivity order: Phenol > Methylbenzene > Benzene.
- Explanation:
- In phenol, the lone pair of electrons on the oxygen atom of the -OH group is delocalized into the \(\pi\)-system of the benzene ring. This significantly increases the electron density of the ring, making it much more reactive towards electrophiles.
- In methylbenzene, the methyl group is electron-donating via the positive inductive effect, which increases the ring's electron density relative to benzene, but to a lesser extent than the resonance donation of the oxygen lone pair in phenol.
- Benzene has no activating groups to increase its ring electron density, hence it is the least reactive.

Marking scheme

(a) [2 marks]:
- 2 marks for a balanced equation showing the production of NO2+ (1 mark if minor balancing error but species are correct).

(b) [4.5 marks]:
- 1.5 marks for the curly arrow from the benzene ring to NO2+.
- 1.5 marks for the correct intermediate structure showing positive charge and both H and NO2 on C4.
- 1.5 marks for the curly arrow from the C-H bond back into the ring, and showing the correct products.

(c) [2 marks]:
- 1 mark for identifying the positive inductive effect (+I) of the methyl group.
- 1 mark for explaining that it stabilizes the positive carbocation intermediate at the ortho/para positions.

(d) [4 marks]:
- 1 mark for the correct order: Phenol > Methylbenzene > Benzene.
- 1 mark for explaining the high reactivity of phenol via delocalization of the oxygen lone pair.
- 1 mark for explaining the intermediate reactivity of methylbenzene via the inductive effect of the methyl group.
- 1 mark for stating that benzene lacks any activating group.
Question 6 · Structured Short Answer
12.5 marks
The thermal decomposition of magnesium carbonate is described by the equation:
\[ \text{MgCO}_3(\text{s}) \rightarrow \text{MgO}(\text{s}) + \text{CO}_2(\text{g}) \]
Thermodynamic data for the reactants and products at 298 K are provided below:

| Substance | \(\Delta H^\ominus_f\) / \(\text{kJ mol}^{-1}\) | \(S^\ominus\) / \(\text{J K}^{-1}\text{ mol}^{-1}\) |
| :--- | :--- | :--- |
| \(\text{MgCO}_3(\text{s})\) | -1096 | \(+65.7\) |
| \(\text{MgO}(\text{s})\) | -602 | \(+26.9\) |
| \(\text{CO}_2(\text{g})\) | -394 | \(+213.7\) |

(a) Calculate the standard enthalpy change of reaction, \(\Delta H^\ominus\), at 298 K.

(b) Calculate the standard entropy change of reaction, \(\Delta S^\ominus\), at 298 K.

(c) Explain the sign of the standard entropy change, \(\Delta S^\ominus\), obtained in (b).

(d) Calculate the standard Gibbs free energy change of reaction, \(\Delta G^\ominus\), at 298 K. State whether the reaction is feasible at this temperature.

(e) Determine the temperature, in K, above which the decomposition of magnesium carbonate becomes thermodynamically feasible. Assume \(\Delta H^\ominus\) and \(\Delta S^\ominus\) remain constant with temperature.
Show answer & marking scheme

Worked solution

(a) \(\Delta H^\ominus = \sum \Delta H^\ominus_f(\text{products}) - \sum \Delta H^\ominus_f(\text{reactants})\)
\(\Delta H^\ominus = [(-602) + (-394)] - [-1096]\)
\(\Delta H^\ominus = -996 + 1096 = +100\text{ kJ mol}^{-1}\)

(b) \(\Delta S^\ominus = \sum S^\ominus(\text{products}) - \sum S^\ominus(\text{reactants})\)
\(\Delta S^\ominus = [26.9 + 213.7] - [65.7]\)
\(\Delta S^\ominus = 240.6 - 65.7 = +174.9\text{ J K}^{-1}\text{ mol}^{-1}\)

(c) The sign of \(\Delta S^\ominus\) is positive, indicating an increase in entropy (disorder). This is because a solid reactant is decomposing to produce a gas (\(\text{CO}_2\)) alongside a solid product. Gas molecules have much higher translational energy and disorder than molecules in the solid state.

(d) \(\Delta G^\ominus = \Delta H^\ominus - T\Delta S^\ominus\)
At 298 K:
\(\Delta S^\ominus = +174.9\text{ J K}^{-1}\text{ mol}^{-1} = +0.1749\text{ kJ K}^{-1}\text{ mol}^{-1}\)
\(\Delta G^\ominus = 100 - (298 \times 0.1749)\)
\(\Delta G^\ominus = 100 - 52.12 = +47.88\text{ kJ mol}^{-1}\) (or \(+47.9\text{ kJ mol}^{-1}\))
Since \(\Delta G^\ominus\) is positive (\(\Delta G^\ominus > 0\)), the reaction is not feasible at 298 K.

(e) For the reaction to become feasible, \(\Delta G^\ominus < 0\).
\[ \Delta H^\ominus - T\Delta S^\ominus < 0 \]
\[ T > \frac{\Delta H^\ominus}{\Delta S^\ominus} \]
\[ T > \frac{100}{0.1749} = 571.75\text{ K} \]
Thus, the reaction becomes feasible above approximately 572 K.

Marking scheme

(a) [2 marks]:
- 1 mark for correct working.
- 1 mark for correct value and units (+100 kJ mol-1).

(b) [2 marks]:
- 1 mark for correct working.
- 1 mark for correct value and units (+174.9 J K-1 mol-1).

(c) [1.5 marks]:
- 0.5 marks for identifying the state change from solid to gas.
- 1 mark for explaining that gas has much greater disorder/entropy.

(d) [4 marks]:
- 1 mark for correct formula.
- 1 mark for correct unit conversion of entropy change.
- 1 mark for correct calculation of +47.9 kJ mol-1.
- 1 mark for stating that the reaction is not feasible because ΔG is positive.

(e) [3 marks]:
- 1 mark for recognizing ΔG = 0 at the threshold.
- 1 mark for correct rearrangement and substitution.
- 1 mark for the correct temperature of 572 K.
Question 7 · Structured Short Answer
12.5 marks
Azo dyes are vital synthetic pigments prepared via diazotisation and coupling reactions.
(a) State the reagents and conditions needed to convert nitrobenzene to phenylamine.

(b) Phenylamine is converted to benzenediazonium chloride using nitrous acid.
(i) Explain how nitrous acid is prepared in situ for this reaction.
(ii) State the temperature range required for this diazotisation reaction and explain why this temperature range is critical.

(c) Write the equation for the coupling reaction of benzenediazonium chloride with alkaline naphthalen-2-ol, drawing the structure of the resulting azo dye clearly.

(d) Arrange ammonia, ethylamine, and phenylamine in order of increasing basicity. Explain this trend in terms of their molecular structures and the availability of the nitrogen lone pair.
Show answer & marking scheme

Worked solution

(a) Reagents and conditions:
- Tin (\(\text{Sn}\)) and concentrated hydrochloric acid (\(\text{HCl}\)), heated under reflux.
- Followed by the addition of aqueous sodium hydroxide (\(\text{NaOH}\)) to liberate phenylamine from the phenylammonium ion.

(b)(i) Nitrous acid is unstable and is prepared in situ by reacting sodium nitrite (\(\text{NaNO}_2\)) with dilute hydrochloric acid (\(\text{HCl}\)) at a low temperature.

(b)(ii) Temperature range: \(0^\circ\text{C}\) to \(10^\circ\text{C}\).
Reasoning: Below \(0^\circ\text{C}\), the reaction rate is too slow. Above \(10^\circ\text{C}\), the benzenediazonium chloride is unstable and decomposes to form phenol and nitrogen gas.

(c) The equation for the coupling reaction is:
\[ \text{C}_6\text{H}_5\text{N}_2^+\text{Cl}^- + \text{C}_{10}\text{H}_7\text{O}^- \rightarrow \text{C}_6\text{H}_5-\text{N}=\text{N}-\text{C}_{10}\text{H}_6\text{OH} + \text{Cl}^- \]
Structure of the azo dye: A benzene ring linked to position 1 of the naphthalen-2-ol group via a \(-\text{N}=\text{N}-\) azo group.

(d)
- Order of increasing basicity: phenylamine < ammonia < ethylamine.
- Explanation:
- Basicity depends on the availability of the lone pair of electrons on the nitrogen atom to accept a proton (\(\text{H}^+\)).
- In phenylamine, the nitrogen lone pair is delocalised into the \(\pi\)-system of the aromatic ring, making it significantly less available to accept a proton.
- In ethylamine, the ethyl group is electron-donating due to its positive inductive effect (\(+I\)), which increases the electron density on the nitrogen atom and makes the lone pair more available to accept a proton.
- Ammonia has no modifying groups, so its basicity lies in the middle.

Marking scheme

(a) [2 marks]:
- 1 mark for Tin and concentrated HCl under reflux.
- 1 mark for adding aqueous sodium hydroxide.

(b)(i) [1 mark]:
- 1 mark for stating the reaction of sodium nitrite with hydrochloric acid.

(b)(ii) [2 marks]:
- 1 mark for specifying the temperature range of 0 to 10 °C.
- 1 mark for explaining that the diazonium salt is unstable and decomposes above 10 °C.

(c) [2.5 marks]:
- 1 mark for the correct equation.
- 1.5 marks for the correct structure of the azo dye showing coupling at Carbon-1 of naphthalene.

(d) [5 marks]:
- 1 mark for the correct order: phenylamine < ammonia < ethylamine.
- 1 mark for relating basicity to the availability of the nitrogen lone pair.
- 1 mark for explaining the weak basicity of phenylamine (delocalisation into the benzene ring).
- 1 mark for explaining the strong basicity of ethylamine (positive inductive effect of ethyl group).
- 1 mark for contrasting with ammonia as the baseline.
Question 8 · Structured Short Answer
12.5 marks
Acyl chlorides are highly reactive carboxylic acid derivatives.
(a) (i) Write a balanced chemical equation for the synthesis of ethanoyl chloride from ethanoic acid using phosphorus(V) chloride, \(\text{PCl}_5\). State one observation during this reaction.
(ii) Name another reagent that can be used to convert ethanoic acid to ethanoyl chloride, and state why this alternative reagent is often preferred in a synthetic laboratory.

(b) Ethanoyl chloride reacts rapidly with various nucleophiles.
(i) Write the equation for the reaction of ethanoyl chloride with ethanol. Name the organic product formed.
(ii) Write the equation for the reaction of ethanoyl chloride with ethylamine. Name the organic product formed.

(c) Explain the relative ease of hydrolysis of ethanoyl chloride, chloroethane, and chlorobenzene. In your explanation, refer to:
- the electronegativity of atoms,
- the carbon-chlorine bond characteristics,
- steric and orbital factors.
Show answer & marking scheme

Worked solution

(a)(i) Equation:
\[ \text{CH}_3\text{COOH} + \text{PCl}_5 \rightarrow \text{CH}_3\text{COCl} + \text{POCl}_3 + \text{HCl} \]
Observation: Misty white fumes of \(\text{HCl}\) gas.

(a)(ii) Reagent: Thionyl chloride (or sulfur dichloride oxide), \(\text{SOCl}_2\).
Reason for preference: The by-products of the reaction (\(\text{SO}_2\) and \(\text{HCl}\)) are both gases, which escape the reaction mixture. This leaves the pure product, ethanoyl chloride, without the need for complex separation.

(b)(i) Equation:
\[ \text{CH}_3\text{COCl} + \text{CH}_3\text{CH}_2\text{OH} \rightarrow \text{CH}_3\text{COOCH}_2\text{CH}_3 + \text{HCl} \]
Product name: Ethyl ethanoate.

(b)(ii) Equation:
\[ \text{CH}_3\text{COCl} + \text{CH}_3\text{CH}_2\text{NH}_2 \rightarrow \text{CH}_3\text{CONHCH}_2\text{CH}_3 + \text{HCl} \]
(Note: \(\text{CH}_3\text{COCl} + 2\text{CH}_3\text{CH}_2\text{NH}_2 \rightarrow \text{CH}_3\text{CONHCH}_2\text{CH}_3 + \text{CH}_3\text{CH}_2\text{NH}_3^+\text{Cl}^-\) is also accepted).
Product name: N-ethylethanamide.

(c)
- Relative ease of hydrolysis: Ethanoyl chloride > chloroethane > chlorobenzene.
- Explanation:
- In ethanoyl chloride, the carbonyl carbon is bonded to two highly electronegative atoms (oxygen and chlorine), making it highly electron-deficient (\(\delta+\)). It is highly susceptible to nucleophilic attack by water.
- In chloroethane, the carbon bonded to the chlorine atom is only moderately electron-deficient (\(\delta+\)), making nucleophilic attack much slower, requiring heating.
- In chlorobenzene, the lone pair of electrons on the chlorine atom is delocalised into the aromatic \(\pi\)-system. This gives the C-Cl bond a partial double-bond character, making it significantly stronger and extremely resistant to nucleophilic attack.

Marking scheme

(a)(i) [2 marks]:
- 1 mark for the correct, balanced equation.
- 1 mark for stating the observation of misty/steamy white fumes.

(a)(ii) [2 marks]:
- 1 mark for naming SOCl2 (or thionyl chloride).
- 1 mark for explaining that gaseous by-products make purification easy.

(b)(i) [2.5 marks]:
- 1.5 marks for the correct equation.
- 1 mark for naming the product "ethyl ethanoate".

(b)(ii) [2.5 marks]:
- 1.5 marks for the correct equation.
- 1 mark for naming the product "N-ethylethanamide".

(c) [3.5 marks]:
- 1 mark for stating the correct order: Ethanoyl chloride > chloroethane > chlorobenzene.
- 1 mark for explaining the high reactivity of ethanoyl chloride due to the highly electrophilic carbon (bonded to O and Cl).
- 1 mark for explaining the inertness of chlorobenzene (delocalisation of Cl lone pair into the ring, strengthening the C-Cl bond).
- 0.5 marks for describing the normal single C-Cl polar bond reactivity of chloroethane.

Paper 54 (Planning, Analysis and Evaluation)

Design plans, plot experimental data, extract mathematical gradients, and evaluate systemic anomalies.
2 Question · 30 marks
Question 1 · Analytical Evaluation
15 marks
A student investigated the kinetics of the reaction between peroxodisulfate(VI) ions, \(\text{S}_2\text{O}_8^{2-}\), and iodide ions, \(\text{I}^-\), at various temperatures:
\[\text{S}_2\text{O}_8^{2-}(aq) + 2\text{I}^-(aq) \rightarrow 2\text{SO}_4^{2-}(aq) + \text{I}_2(aq)\]

The student used a clock reaction method. A constant, small concentration of sodium thiosulfate, \(\text{Na}_2\text{S}_2\text{O}_3\), and starch indicator were added to the reaction mixture. The time taken, \(t\), for the solution to turn dark blue was measured.

The rate of the reaction is assumed to be proportional to \(\frac{1}{t}\).
The Arrhenius equation can be written as:
\[\ln\left(\frac{1}{t}\right) = -\frac{E_a}{R}\left(\frac{1}{T}\right) + \text{constant}\]

The student obtained the following experimental results:
- **Experiment 1**: \(T = 20.0\ ^\circ\text{C}\), \(t = 120.0\text{ s}\)
- **Experiment 2**: \(T = 30.0\ ^\circ\text{C}\), \(t = 78.0\text{ s}\)
- **Experiment 3**: \(T = 40.0\ ^\circ\text{C}\), \(t = 31.0\text{ s}\)
- **Experiment 4**: \(T = 50.0\ ^\circ\text{C}\), \(t = 16.5\text{ s}\)
- **Experiment 5**: \(T = 60.0\ ^\circ\text{C}\), \(t = 9.3\text{ s}\)
- **Experiment 6**: \(T = 70.0\ ^\circ\text{C}\), \(t = 5.3\text{ s}\)

(a) Explain why the initial rate of the reaction can be assumed to be proportional to \(\frac{1}{t}\) in this clock reaction, and state why the concentrations of reactants must remain virtually constant during this period. [2]

(b) Convert the temperatures to Kelvin (\(T\)) and calculate the values of \(\frac{1}{T}\) (to 3 significant figures, in \(\text{K}^{-1}\)) and \(\ln\left(\frac{1}{t}\right)\) (to 3 significant figures) for all six experiments. Show your results clearly. [3]

(c) A plot of \(\ln\left(\frac{1}{t}\right)\) against \(\frac{1}{T}\) (excluding any anomalous results) gives a straight line with a gradient of \(-6250\text{ K}\).
Using this gradient, calculate the activation energy, \(E_a\), of the reaction. Include the correct sign and units in your answer. (\(R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}\)) [4]

(d) Identify which of the six experiments yields an anomalous result. Explain whether the reaction in this experiment was faster or slower than expected, and suggest a specific experimental error that could account for this anomaly. State how the student should handle this point when plotting the graph. [3]

(e) Suggest how the experimental design can be improved to minimize temperature fluctuations during the course of each run, and explain why direct heating using a Bunsen burner must be avoided. [3]
Show answer & marking scheme

Worked solution

(a) In a clock reaction, the concentration of iodine required to react with the fixed amount of thiosulfate and then trigger the blue starch-iodine endpoint is constant. Thus, the change in product concentration, \(\Delta [\text{I}_2]\), is a constant. Since \(\text{rate} = \frac{\Delta [\text{I}_2]}{\Delta t}\), the rate is directly proportional to \(\frac{1}{t}\). Reactant concentrations must remain virtually constant so that the measured rate accurately represents the *initial rate* before significant reactant consumption occurs.

(b) Calculations (using \(T(\text{K}) = T(^\circ\text{C}) + 273.15\) or \(T(^\circ\text{C}) + 273\)):
- **Exp 1**: \(T = 293\text{ K}\) (or \(293.2\text{ K}\)), \(\frac{1}{T} = 3.41 \times 10^{-3}\text{ K}^{-1}\), \(\ln(1/t) = -4.79\)
- **Exp 2**: \(T = 303\text{ K}\) (or \(303.2\text{ K}\)), \(\frac{1}{T} = 3.30 \times 10^{-3}\text{ K}^{-1}\), \(\ln(1/t) = -4.36\)
- **Exp 3**: \(T = 313\text{ K}\) (or \(313.2\text{ K}\)), \(\frac{1}{T} = 3.19 \times 10^{-3}\text{ K}^{-1}\), \(\ln(1/t) = -3.43\)
- **Exp 4**: \(T = 323\text{ K}\) (or \(323.2\text{ K}\)), \(\frac{1}{T} = 3.10 \times 10^{-3}\text{ K}^{-1}\), \(\ln(1/t) = -2.80\)
- **Exp 5**: \(T = 333\text{ K}\) (or \(333.2\text{ K}\)), \(\frac{1}{T} = 3.00 \times 10^{-3}\text{ K}^{-1}\), \(\ln(1/t) = -2.23\)
- **Exp 6**: \(T = 343\text{ K}\) (or \(343.2\text{ K}\)), \(\frac{1}{T} = 2.91 \times 10^{-3}\text{ K}^{-1}\) (or \(2.92 \times 10^{-3}\)), \(\ln(1/t) = -1.67\)

(c) From the Arrhenius equation: \(\text{Gradient} = -\frac{E_a}{R}\)
\[-6250 = -\frac{E_a}{8.31}\]
\[E_a = 6250 \times 8.31 = 51937.5\text{ J mol}^{-1} = +51.9\text{ kJ mol}^{-1}\text{ (or } +52.0\text{ kJ mol}^{-1}\text{)}\]

(d) Experiment 2 is anomalous. Based on the line of best fit of the other five points, the predicted value of \(\ln(1/t)\) at \(\frac{1}{T} = 3.30 \times 10^{-3}\text{ K}^{-1}\) should be approximately \(-4.10\). The measured value of \(\ln(1/t)\) is \(-4.36\). Since \(-4.36 < -4.10\), the rate (\(1/t\)) was lower than expected, which means the reaction was **slower** than expected (time taken was too long: 78.0 s instead of ~60 s). This could be caused by: the reaction mixture cooling down during the run because it was not insulated; incorrect reactant concentrations (e.g. dilution error); or an excess of sodium thiosulfate added. This point should be ignored when drawing the line of best fit.

(e) Improvement: Perform the reaction inside a thermostated water bath to maintain a constant temperature throughout each run. Direct heating using a Bunsen burner must be avoided because it causes uneven heating, resulting in temperature gradients within the flask, and cannot precisely maintain a constant target temperature.

Marking scheme

Part (a) [2 Marks]:
- 1 Mark: For explaining that \(\Delta [\text{I}_2]\) is constant, meaning rate is directly proportional to \(1/t\).
- 1 Mark: For explaining that reactant concentrations must remain virtually constant to represent initial rate conditions.

Part (b) [3 Marks]:
- 1 Mark: All temperatures correctly converted to Kelvin (293, 303, 313, 323, 333, 343 or using .2 / .15).
- 1 Mark: All values of \(1/T\) correctly calculated to 3 significant figures with units \(\text{K}^{-1}\).
- 1 Mark: All values of \(\ln(1/t)\) correctly calculated to 3 significant figures (must be negative numbers).

Part (c) [4 Marks]:
- 1 Mark: Recalls relation \(\text{Gradient} = -E_a / R\).
- 1 Mark: Rearranges to solve for \(E_a\) and substitutes values correctly: \(E_a = 6250 \times 8.31\).
- 1 Mark: Obtains numerical value of 51.9 (or 52.0) with correct positive sign.
- 1 Mark: Correct units stated: \(\text{kJ mol}^{-1}\) (or \(\text{J mol}^{-1}\) with corresponding correct scale, i.e., \(+51900\text{ J mol}^{-1}\)).

Part (d) [3 Marks]:
- 1 Mark: Correctly identifies Experiment 2 as the anomaly.
- 1 Mark: States the reaction was slower than expected (or time taken was too long) and provides a valid explanation based on graph position (lies below the line).
- 1 Mark: Suggests a plausible source of error (e.g., cooling during the reaction, dilution, or excess thiosulfate) AND states the point should be excluded/ignored when drawing the best-fit line.

Part (e) [3 Marks]:
- 1 Mark: Suggests using a thermostated water bath to maintain constant temperature.
- 1 Mark: Identifies that direct heating causes uneven temperature distribution/gradients.
- 1 Mark: Identifies that direct heating lacks precise temperature control.
Question 2 · Analytical Evaluation
15 marks
A student carried out two separate calorimetric experiments to determine the enthalpy of dissociation, \(\Delta H_{\text{diss}}\), of ethanoic acid, \(\text{CH}_3\text{COOH}\).

- **Experiment A**: Determining the enthalpy of neutralization, \(\Delta H_1\), of a strong acid with a strong base:
\[\text{H}^+(aq) + \text{OH}^-(aq) \rightarrow \text{H}_2\text{O}(l)\]
The student placed \(50.0\text{ cm}^3\) of \(2.00\text{ mol dm}^{-3}\) \(\text{HCl}\) into a polystyrene cup. They added \(50.0\text{ cm}^3\) of \(2.05\text{ mol dm}^{-3}\) \(\text{NaOH}\).

- **Experiment B**: Determining the enthalpy of neutralization, \(\Delta H_2\), of a weak acid with a strong base:
\[\text{CH}_3\text{COOH}(aq) + \text{OH}^-(aq) \rightarrow \text{CH}_3\text{COO}^-(aq) + \text{H}_2\text{O}(l)\]
The student placed \(50.0\text{ cm}^3\) of \(2.00\text{ mol dm}^{-3}\) \(\text{CH}_3\text{COOH}\) into a polystyrene cup. They added \(50.0\text{ cm}^3\) of \(2.05\text{ mol dm}^{-3}\) \(\text{NaOH}\).

In both experiments, the solutions were initially at the same temperature. The temperature was recorded every minute for 3 minutes. At 4.0 minutes, the solutions were mixed. The temperature was then recorded every minute from 5.0 to 10.0 minutes.

The temperature-time data for both experiments is shown below:

| Time / min | Experiment A (Temperature / \(^\circ\text{C}\)) | Experiment B (Temperature / \(^\circ\text{C}\)) |
| :---: | :---: | :---: |
| 0.0 | 21.5 | 21.5 |
| 1.0 | 21.5 | 21.5 |
| 2.0 | 21.5 | 21.5 |
| 3.0 | 21.5 | 21.5 |
| 4.0 | **Mixed** | **Mixed** |
| 5.0 | 34.8 | 34.35 |
| 6.0 | 34.4 | 34.0 |
| 7.0 | 34.0 | 33.65 |
| 8.0 | 33.6 | 33.3 |
| 9.0 | 33.2 | 32.95 |
| 10.0 | 32.8 | 32.6 |

(a) Draw a Hess's Law cycle that connects \(\Delta H_1\), \(\Delta H_2\), and the enthalpy of dissociation of ethanoic acid, \(\Delta H_{\text{diss}}\):
\[\text{CH}_3\text{COOH}(aq) \rightarrow \text{CH}_3\text{COO}^-(aq) + \text{H}^+(aq)\]
Use your cycle to write an algebraic expression for \(\Delta H_{\text{diss}}\) in terms of \(\Delta H_1\) and \(\Delta H_2\). [3]

(b) Explain how the cooling curve data can be used to determine the corrected temperature rises, \(\Delta T_1\) (for Experiment A) and \(\Delta T_2\) (for Experiment B). Calculate \(\Delta T_1\) and \(\Delta T_2\). Show your working. [4]

(c) Calculate \(\Delta H_1\) and \(\Delta H_2\) in \(\text{kJ mol}^{-1}\) to 3 significant figures.
Assume that:
- The density of the reaction mixtures is \(1.00\text{ g cm}^{-3}\).
- The specific heat capacity of the mixtures is \(4.18\text{ J g}^{-1}\text{ K}^{-1}\).
- Heat capacity of the polystyrene cup is negligible. [4]

(d) Calculate \(\Delta H_{\text{diss}}\) for ethanoic acid. Include the appropriate sign and units. [1]

(e) (i) The thermometer used has graduations of \(0.1\ ^\circ\text{C}\). Calculate the percentage error in measuring the temperature change \(\Delta T_1\) in Experiment A. Show your working. [2]
(ii) Suggest one modification to the apparatus and one modification to the procedure (other than using a more precise thermometer) that would reduce heat loss or improve accuracy. [2]
Show answer & marking scheme

Worked solution

(a) Hess's Law Cycle:
Direct route:
\(\text{CH}_3\text{COOH}(aq) + \text{OH}^-(aq) \xrightarrow{\Delta H_2} \text{CH}_3\text{COO}^-(aq) + \text{H}_2\text{O}(l)\)

Indirect route:
1) Dissociation: \(\text{CH}_3\text{COOH}(aq) \xrightarrow{\Delta H_{\text{diss}}} \text{CH}_3\text{COO}^-(aq) + \text{H}^+(aq)\)
2) Neutralization of the resulting \(\text{H}^+(aq)\) with \(\text{OH}^-(aq)\): \(\text{H}^+(aq) + \text{OH}^-(aq) \xrightarrow{\Delta H_1} \text{H}_2\text{O}(l)\)

According to Hess's law:
\(\Delta H_2 = \Delta H_{\text{diss}} + \Delta H_1\)
Therefore:
\(\Delta H_{\text{diss}} = \Delta H_2 - \Delta H_1\)

(b) Since heat loss occurs immediately upon mixing, the temperature starts cooling before maximum temperature can be recorded directly. To correct for this, the linear cooling portion of the temperature-time curve (from 5.0 to 10.0 min) is extrapolated back to the time of mixing (4.0 min).
- **For Experiment A**:
The cooling rate between 5.0 and 10.0 min is constant:
\(\text{Cooling rate} = \frac{34.8 - 32.8}{10.0 - 5.0} = 0.40\ ^\circ\text{C min}^{-1}\).
Extrapolating back to 4.0 min (1.0 minute prior to the 5.0 min reading):
\(T_{\text{max, corrected}} = 34.8 + 0.40 = 35.2\ ^\circ\text{C}\).
Initial temperature = \(21.5\ ^\circ\text{C}\).
Corrected temperature rise, \(\Delta T_1 = 35.2 - 21.5 = 13.7\ ^\circ\text{C}\) (or \(13.7\text{ K}\)).

- **For Experiment B**:
The cooling rate between 5.0 and 10.0 min is constant:
\(\text{Cooling rate} = \frac{34.35 - 32.6}{10.0 - 5.0} = 0.35\ ^\circ\text{C min}^{-1}\).
Extrapolating back to 4.0 min:
\(T_{\text{max, corrected}} = 34.35 + 0.35 = 34.7\ ^\circ\text{C}\).
Initial temperature = \(21.5\ ^\circ\text{C}\).
Corrected temperature rise, \(\Delta T_2 = 34.7 - 21.5 = 13.2\ ^\circ\text{C}\) (or \(13.2\text{ K}\)).

(c) Mass of mixture, \(m = 50.0\text{ cm}^3 + 50.0\text{ cm}^3 = 100.0\text{ g}\) (since density = \(1.00\text{ g cm}^{-3}\)).
In both experiments, the limiting reactant is the acid (\(n_{\text{acid}} = 0.0500\text{ dm}^3 \times 2.00\text{ mol dm}^{-3} = 0.100\text{ mol}\); \(\text{NaOH}\) is in excess as \(n_{\text{NaOH}} = 0.1025\text{ mol}\)).

- **For Experiment A**:
\(q_1 = m c \Delta T_1 = 100.0 \times 4.18 \times 13.7 = 5726.6\text{ J} = 5.727\text{ kJ}\).
\(\Delta H_1 = -\frac{5.727\text{ kJ}}{0.100\text{ mol}} = -57.3\text{ kJ mol}^{-1}\).

- **For Experiment B**:
\(q_2 = m c \Delta T_2 = 100.0 \times 4.18 \times 13.2 = 5517.6\text{ J} = 5.518\text{ kJ}\).
\(\Delta H_2 = -\frac{5.518\text{ kJ}}{0.100\text{ mol}} = -55.2\text{ kJ mol}^{-1}\).

(d) \(\Delta H_{\text{diss}} = \Delta H_2 - \Delta H_1 = -55.2 - (-57.3) = +2.1\text{ kJ mol}^{-1}\).

(e) (i) A thermometer with graduations of \(0.1\ ^\circ\text{C}\) has an uncertainty of \(\pm 0.05\ ^\circ\text{C}\) per reading. Measuring \(\Delta T\) involves two temperature readings (initial and final).
\(\text{Total uncertainty} = 2 \times 0.05 = \pm 0.1\ ^\circ\text{C}\).
\(\text{Percentage error} = \frac{0.1}{13.7} \times 100\% = 0.730\%\) (or \(0.73\%\)).

(ii)
- **Apparatus modification**: Place a tight-fitting insulated lid on the polystyrene cup, or place the cup inside a larger beaker filled with cotton wool insulation to reduce convective/radiative heat loss.
- **Procedural modification**: Stir the mixture continuously and vigorously during the initial period after mixing to ensure rapid heat distribution, or measure the separate initial temperatures of both solutions to get an accurate starting average.

Marking scheme

Part (a) [3 Marks]:
- 1 Mark: Correctly drawn Hess's Law cycle showing the reactant, product, and free ions species with clear arrows.
- 1 Mark: All three enthalpy changes labeled correctly in the cycle in accordance with the direction of the arrows.
- 1 Mark: Derives the correct equation: \(\Delta H_{\text{diss}} = \Delta H_2 - \Delta H_1\).

Part (b) [4 Marks]:
- 1 Mark: Explanation that the cooling curve after mixing (5.0 to 10.0 min) is extrapolated back to the time of mixing (4.0 min) to correct for heat loss.
- 1 Mark: Correct cooling rates calculated (\(0.40\ ^\circ\text{C min}^{-1}\) for A, \(0.35\ ^\circ\text{C min}^{-1}\) for B).
- 1 Mark: Extrapolated maximum temperatures are correct (\(35.2\ ^\circ\text{C}\) for A, \(34.7\ ^\circ\text{C}\) for B).
- 1 Mark: Obtains both temperature rises correctly: \(\Delta T_1 = 13.7\ ^\circ\text{C}\) (or K) and \(\Delta T_2 = 13.2\ ^\circ\text{C}\) (or K).

Part (c) [4 Marks]:
- 1 Mark: Correct mass of solution identified (100.0 g) and limiting reactant moles calculated (0.100 mol).
- 1 Mark: Calculated heat values correctly (\(q_1 = 5726.6\text{ J}\) and \(q_2 = 5517.6\text{ J}\), allow ECF from (b)).
- 1 Mark: Correct value and sign for \(\Delta H_1 = -57.3\text{ kJ mol}^{-1}\) (to 3 sig figs).
- 1 Mark: Correct value and sign for \(\Delta H_2 = -55.2\text{ kJ mol}^{-1}\) (to 3 sig figs).

Part (d) [1 Mark]:
- 1 Mark: Correctly calculates \(\Delta H_{\text{diss}} = +2.1\text{ kJ mol}^{-1}\) (must have "+" sign and correct units. Accept ECF from (c)).
- Reject: -2.1 or 2.1 without sign.

Part (e) [3 Marks]:
- 1 Mark: Shows total uncertainty is \(\pm 0.1\ ^\circ\text{C}\) and calculates percentage error as \(0.73\%\) (or \(0.730\%\)).
- 1 Mark: Suggests a valid apparatus modification (e.g., adding a lid to the cup or extra insulation/beaker wrapper).
- 1 Mark: Suggests a valid procedural modification (e.g., continuous stirring, or averaging initial separate temperatures of both solutions).

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