HKDSE · Answers & Marking Scheme

2023 HKDSE Chemistry Answers & Marking Scheme

Thinka 2023 DSE-Style Mock — Chemistry

160 marks210 mins2023
An original Thinka practice paper modelled on the structure and difficulty of that year's HKDSE paper. Not affiliated with or reproduced from the HKEAA.

Paper 1A (Multiple Choice)

Answer all 36 multiple choice questions. All questions carry equal marks.
36 Question · 36 marks
Question 1 · Multiple Choice
1 marks
Which of the following species has a molecular shape that is NOT planar?
  1. A.\( \text{BF}_3 \)
  2. B.\( \text{H}_3\text{O}^+ \)
  3. C.\( \text{C}_2\text{H}_4 \)
  4. D.\( \text{CO}_3^{2-} \)

Answer

B

Worked solution

\( \text{BF}_3 \), \( \text{C}_2\text{H}_4 \), and \( \text{CO}_3^{2-} \) are all planar species. \( \text{H}_3\text{O}^+ \) has 3 bonding pairs and 1 lone pair on the oxygen atom, giving it a trigonal pyramidal shape which is non-planar.

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 2 · Multiple Choice
1 marks
Consider two monobasic acids at \(25^\circ\text{C}\): Acid X has a pH of 2.0 and Acid Y has a pH of 4.0. Which of the following statements MUST be correct?
(1) Acid X is a stronger acid than Acid Y.
(2) The concentration of \( \text{H}^+(\text{aq}) \) in Acid X is 100 times that in Acid Y.
(3) To completely neutralize the same volume of both acids, a larger volume of \(0.1 \text{ mol dm}^{-3} \text{ NaOH(aq)}\) is required for Acid X than Acid Y.
  1. A.(1) only
  2. B.(2) only
  3. C.(1) and (3) only
  4. D.(2) and (3) only

Answer

B

Worked solution

(1) is incorrect because pH depends on both acid strength and concentration. A dilute strong acid can have the same pH as a concentrated weak acid. (2) is correct because \([\text{H}^+] = 10^{-\text{pH}}\). For X, \([\text{H}^+] = 10^{-2} \text{ mol dm}^{-3}\); for Y, \([\text{H}^+] = 10^{-4} \text{ mol dm}^{-3}\). Ratio = 100. (3) is incorrect because a concentrated weak acid of pH 4.0 might have a higher total concentration of ionizable hydrogen ions than a dilute strong acid of pH 2.0, thus requiring more base for complete neutralization.

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 3 · Multiple Choice
1 marks
In which of the following compounds does chlorine have the highest oxidation number?
  1. A.\( \text{NaClO} \)
  2. B.\( \text{ClO}_2 \)
  3. C.\( \text{KClO}_3 \)
  4. D.\( \text{Cl}_2\text{O}_7 \)

Answer

D

Worked solution

The oxidation numbers of Cl are: in \( \text{NaClO} \), +1; in \( \text{ClO}_2 \), +4; in \( \text{KClO}_3 \), +5; in \( \text{Cl}_2\text{O}_7 \), +7. Therefore, \( \text{Cl}_2\text{O}_7 \) has the highest oxidation number of +7.

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 4 · Multiple Choice
1 marks
What is the IUPAC name of the compound \( \text{CH}_3\text{CH(Cl)CH}_2\text{CH(CH}_3\text{)}_2 \)?
  1. A.2-chloro-4-methylpentane
  2. B.4-chloro-2-methylpentane
  3. C.2-chloro-2-isopropylpropane
  4. D.1,1-dimethyl-3-chlorobutane

Answer

A

Worked solution

Find the longest carbon chain, which has 5 carbons (pentane). Numbering from either end gives substituents at positions 2 and 4. According to IUPAC rules, when locants are identical from both ends, alphabetical priority decides the lower locant. Since 'chloro' comes before 'methyl' alphabetically, the chloro group is assigned position 2 and the methyl group is assigned position 4. Thus, the name is 2-chloro-4-methylpentane.

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 5 · Multiple Choice
1 marks
Some information about three metals, X, Y and Z, is given below:
- Metal X does not react with dilute hydrochloric acid.
- Metal Y can displace Metal X from its nitrate solution.
- The oxide of metal Z cannot be reduced by heating with carbon, but the oxide of metal Y can.
Which of the following represents the increasing order of reactivity of the three metals?
  1. A.X < Y < Z
  2. B.Y < X < Z
  3. C.Z < Y < X
  4. D.X < Z < Y

Answer

A

Worked solution

Metal X is the least reactive as it does not react with dilute HCl (below hydrogen in the reactivity series). Metal Y can displace X, so Y is more reactive than X (Y > X). The oxide of Z cannot be reduced by heating with carbon (meaning Z is highly reactive, above Al), whereas the oxide of Y can be reduced by carbon (meaning Y is less reactive, below Al). Thus, Z is more reactive than Y (Z > Y). The ascending order of reactivity is X < Y < Z.

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 6 · Multiple Choice
1 marks
At a certain temperature, the equilibrium constant \( K_c \) for the reaction \( 2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g}) \) is \( 4.0 \times 10^2 \text{ mol}^{-1}\text{dm}^3 \). What is the equilibrium constant \( K_c \) for the following reaction at the same temperature?
\( \text{SO}_3(\text{g}) \rightleftharpoons \text{SO}_2(\text{g}) + \frac{1}{2}\text{O}_2(\text{g}) \)
  1. A.\( 2.5 \times 10^{-3} \text{ mol}^{1/2}\text{dm}^{-3/2} \)
  2. B.\( 5.0 \times 10^{-2} \text{ mol}^{1/2}\text{dm}^{-3/2} \)
  3. C.\( 2.0 \times 10^{-2} \text{ mol}^{1/2}\text{dm}^{-3/2} \)
  4. D.\( 2.0 \times 10^1 \text{ mol}^{1/2}\text{dm}^{-3/2} \)

Answer

B

Worked solution

The target reaction is the reverse of the given reaction, multiplied by \( \frac{1}{2} \). Therefore, the new equilibrium constant \( K_c' = \left( \frac{1}{K_c} \right)^{1/2} = \frac{1}{\sqrt{4.0 \times 10^2}} = \frac{1}{20} = 0.05 = 5.0 \times 10^{-2} \text{ mol}^{1/2}\text{dm}^{-3/2} \).

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 7 · Multiple Choice
1 marks
Which of the following statements about catalysts is/are correct?
(1) A catalyst increases the rate of reaction by increasing the average kinetic energy of the reactant molecules.
(2) A catalyst does not alter the enthalpy change (\( \Delta H \)) of the reaction.
(3) A catalyst increases the yield of the products in a reversible reaction.
  1. A.(1) only
  2. B.(2) only
  3. C.(1) and (3) only
  4. D.(2) and (3) only

Answer

B

Worked solution

(1) is incorrect because only temperature can increase the average kinetic energy of reactant molecules. (2) is correct because a catalyst decreases the activation energy of both the forward and backward reactions by the same amount, leaving the overall enthalpy change (\( \Delta H \)) unaltered. (3) is incorrect because a catalyst accelerates both forward and backward reactions equally; it helps reach equilibrium faster but does not affect the position of equilibrium or change the equilibrium yield.

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 8 · Multiple Choice
1 marks
Consider the following thermochemical equations:
\( \text{C(graphite)} + \text{O}_2(\text{g}) \rightarrow \text{CO}_2(\text{g}) \quad \Delta H = -393.5 \text{ kJ mol}^{-1} \)
\( \text{CO}(\text{g}) + \frac{1}{2}\text{O}_2(\text{g}) \rightarrow \text{CO}_2(\text{g}) \quad \Delta H = -283.0 \text{ kJ mol}^{-1} \)
What is the standard enthalpy change of formation of \( \text{CO(g)} \)?
  1. A.\( -676.5 \text{ kJ mol}^{-1} \)
  2. B.\( -110.5 \text{ kJ mol}^{-1} \)
  3. C.\( +110.5 \text{ kJ mol}^{-1} \)
  4. D.\( +676.5 \text{ kJ mol}^{-1} \)

Answer

B

Worked solution

The standard enthalpy change of formation of \( \text{CO(g)} \) refers to the reaction: \( \text{C(graphite)} + \frac{1}{2}\text{O}_2(\text{g}) \rightarrow \text{CO}(\text{g}) \). According to Hess's Law, this is obtained by subtracting the second reaction from the first reaction: \( \Delta H_f = -393.5 \text{ kJ mol}^{-1} - (-283.0 \text{ kJ mol}^{-1}) = -110.5 \text{ kJ mol}^{-1} \).

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 9 · Multiple Choice
1 marks
Which of the following statements concerning the elements in the second period of the Periodic Table (from Li to Ne) is correct?
  1. A.The atomic radius increases across the period.
  2. B.The electronegativity of the elements decreases across the period.
  3. C.The first ionization energy generally increases across the period.
  4. D.All elements in the second period can form stable oxides.

Answer

C

Worked solution

A is incorrect because atomic radius decreases across a period due to increased effective nuclear charge. B is incorrect because electronegativity increases across the period from Li to F. C is correct because the first ionization energy generally increases due to increasing nuclear charge and decreasing atomic radius. D is incorrect because Neon (Ne) is an inert gas and does not form stable compounds like oxides under normal conditions.

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 10 · Multiple Choice
1 marks
How many structural isomers (excluding stereoisomers) are there for the compound with molecular formula \( \text{C}_4\text{H}_9\text{Br} \)?
  1. A.2
  2. B.3
  3. C.4
  4. D.5

Answer

C

Worked solution

The structural isomers of butyl bromide (\( \text{C}_4\text{H}_9\text{Br} \)) can be derived from two carbon skeletons: butane and methylpropane. From butane, we have 1-bromobutane and 2-bromobutane. From methylpropane, we have 1-bromo-2-methylpropane and 2-bromo-2-methylpropane. Thus, there are 4 structural isomers in total.

Marking scheme

Award 1 mark for the correct option. No marks for incorrect options or multiple answers.
Question 11 · Multiple Choice
1 marks
Which of the following species has/have a trigonal pyramidal shape?

(1) \(\text{H}_3\text{O}^+\)
(2) \(\text{BF}_3\)
(3) \(\text{NH}_3\)
  1. A.(1) only
  2. B.(2) only
  3. C.(1) and (3) only
  4. D.(2) and (3) only

Answer

C

Worked solution

(1) \(\text{H}_3\text{O}^+\) has 3 bonding pairs and 1 lone pair on the central oxygen atom, giving it a trigonal pyramidal shape. (2) \(\text{BF}_3\) has 3 bonding pairs and 0 lone pairs on the central boron atom, giving it a trigonal planar shape. (3) \(\text{NH}_3\) has 3 bonding pairs and 1 lone pair on the central nitrogen atom, giving it a trigonal pyramidal shape. Therefore, both (1) and (3) are trigonal pyramidal.

Marking scheme

Award 1 mark for the correct option C. Incorrect options are based on failing to recognize that \(\text{H}_3\text{O}^+\) is trigonal pyramidal due to the lone pair on the oxygen atom, or confusing \(\text{BF}_3\) (trigonal planar) with trigonal pyramidal.
Question 12 · Multiple Choice
1 marks
Metal \(X\) can be extracted from its oxide by heating with carbon. Metal \(Y\) reacts with cold water to give a colorless gas. Metal \(Z\) does not react with dilute hydrochloric acid but reacts with heating in oxygen. Which of the following shows the descending order of reactivity of the three metals?
  1. A.\(Y > X > Z\)
  2. B.\(Y > Z > X\)
  3. C.\(X > Y > Z\)
  4. D.\(Z > X > Y\)

Answer

A

Worked solution

Metal \(Y\) is highly reactive as it reacts with cold water (e.g., sodium or calcium). Metal \(X\) is moderately reactive because it can be extracted by carbon reduction (e.g., zinc or iron). Metal \(Z\) is unreactive with dilute acid but reacts with heating in oxygen, showing it is less reactive than hydrogen but still oxidizable (e.g., copper). Thus, the descending order of reactivity is \(Y > X > Z\).

Marking scheme

Award 1 mark for Option A. Incorrect options reverse or scramble the positions of the metals based on their chemical properties.
Question 13 · Multiple Choice
1 marks
Consider the following enthalpy changes of formation at \(298\text{ K}\):

\(\Delta H_f^\theta[\text{CO}_2(g)] = -393.5\text{ kJ mol}^{-1}\)
\(\Delta H_f^\theta[\text{H}_2\text{O}(l)] = -285.8\text{ kJ mol}^{-1}\)
\(\Delta H_c^\theta[\text{C}_3\text{H}_8(g)] = -2220.0\text{ kJ mol}^{-1}\)

What is the standard enthalpy change of formation of propane, \(\text{C}_3\text{H}_8(g)\), at \(298\text{ K}\)?
  1. A.\(-1540.7\text{ kJ mol}^{-1}\)
  2. B.\(-103.7\text{ kJ mol}^{-1}\)
  3. C.\(+103.7\text{ kJ mol}^{-1}\)
  4. D.\(+1540.7\text{ kJ mol}^{-1}\)

Answer

B

Worked solution

The combustion of propane is represented by: \(\text{C}_3\text{H}_8(g) + 5\text{O}_2(g) \rightarrow 3\text{CO}_2(g) + 4\text{H}_2\text{O}(l)\). By definition, \(\Delta H_c^\theta = 3 \Delta H_f^\theta[\text{CO}_2(g)] + 4 \Delta H_f^\theta[\text{H}_2\text{O}(l)] - \Delta H_f^\theta[\text{C}_3\text{H}_8(g)]\). Substituting the values: \(-2220.0 = 3(-393.5) + 4(-285.8) - \Delta H_f^\theta[\text{C}_3\text{H}_8(g)]\) which gives \(-2220.0 = -1180.5 - 1143.2 - \Delta H_f^\theta[\text{C}_3\text{H}_8(g)]\) and thus \(\Delta H_f^\theta[\text{C}_3\text{H}_8(g)] = -103.7\text{ kJ mol}^{-1}\).

Marking scheme

Award 1 mark for Option B. Option C has the incorrect sign. Options A and D represent common errors where stoichiometric coefficients are misapplied or products and reactants are confused.
Question 14 · Multiple Choice
1 marks
In which of the following reactions does nitrogen undergo both oxidation and reduction (disproportionation)?
  1. A.\(\text{NH}_4\text{NO}_3(s) \rightarrow \text{N}_2\text{O}(g) + 2\text{H}_2\text{O}(l)\)
  2. B.\(3\text{NO}_2(g) + \text{H}_2\text{O}(l) \rightarrow 2\text{HNO}_3(aq) + \text{NO}(g)\)
  3. C.\(2\text{NO}(g) + \text{O}_2(g) \rightarrow 2\text{NO}_2(g)\)
  4. D.\(\text{N}_2(g) + 3\text{H}_2(g) \rightarrow 2\text{NH}_3(g)\)

Answer

B

Worked solution

Disproportionation is a redox reaction in which the same element is simultaneously oxidized and reduced. In B, nitrogen in \(\text{NO}_2\) has an oxidation state of \(+4\). In the products, nitrogen in \(\text{HNO}_3\) has an oxidation state of \(+5\) (oxidized) and nitrogen in \(\text{NO}\) has an oxidation state of \(+2\) (reduced). Hence, nitrogen undergoes disproportionation.

Marking scheme

Award 1 mark for Option B. In option A, nitrogen undergoes comproportionation (from \(-3\) and \(+5\) to \(+1\)). In C, nitrogen is only oxidized. In D, nitrogen is only reduced.
Question 15 · Multiple Choice
1 marks
Consider the following equilibrium system in a closed container at constant temperature:

\(\text{PCl}_5(g) \rightleftharpoons \text{PCl}_3(g) + \text{Cl}_2(g) \quad \Delta H > 0\)

Which of the following changes would increase the value of the equilibrium constant \(K_c\) for this reaction?
  1. A.Increasing the pressure of the system by reducing the volume.
  2. B.Adding a catalyst to the mixture.
  3. C.Increasing the temperature of the system.
  4. D.Adding more \(\text{PCl}_5(g)\) at constant volume.

Answer

C

Worked solution

The equilibrium constant \(K_c\) is affected ONLY by temperature. Since the forward reaction is endothermic (\(\Delta H > 0\)), increasing the temperature will shift the equilibrium position to the right, thereby increasing the concentration of products and decreasing the concentration of reactants. This results in an increased value of \(K_c\). Changes in pressure, concentration, or addition of a catalyst do not alter the value of \(K_c\).

Marking scheme

Award 1 mark for Option C. Options A, B, and D do not change the equilibrium constant \(K_c\) because it is a temperature-dependent constant.
Question 16 · Multiple Choice
1 marks
An organic compound \(X\) has the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\). It reacts with sodium hydrogencarbonate solution to produce a colorless gas which turns limewater milky. Which of the following is the IUPAC name of \(X\)?
  1. A.Ethyl ethanoate
  2. B.Butanoic acid
  3. C.Methyl propanoate
  4. D.Ethyl methanoate

Answer

B

Worked solution

Compound \(X\) has the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\) and reacts with \(\text{NaHCO}_3\) to release \(\text{CO}_2\) gas (which turns limewater milky). This indicates that \(X\) contains a carboxylic acid functional group (\(-\text{COOH}\)). Therefore, \(X\) must be butanoic acid. Ethyl ethanoate, methyl propanoate, and ethyl methanoate are structural isomers of butanoic acid but they are esters, which do not show acidic properties to react with hydrogencarbonates.

Marking scheme

Award 1 mark for Option B. Options A, C, and D are esters with the same molecular formula but do not react with sodium hydrogencarbonate.
Question 17 · Multiple Choice
1 marks
\(25.0\text{ cm}^3\) of \(0.100\text{ mol dm}^{-3}\) of a weak diprotic acid \(H_2A\) requires \(20.0\text{ cm}^3\) of a sodium hydroxide solution for complete neutralization. What is the concentration of the sodium hydroxide solution?
  1. A.\(0.0625\text{ mol dm}^{-3}\)
  2. B.\(0.125\text{ mol dm}^{-3}\)
  3. C.\(0.250\text{ mol dm}^{-3}\)
  4. D.\(0.500\text{ mol dm}^{-3}\)

Answer

C

Worked solution

The chemical equation for complete neutralization is: \(\text{H}_2\text{A}(aq) + 2\text{NaOH}(aq) \rightarrow \text{Na}_2\text{A}(aq) + 2\text{H}_2\text{O}(l)\). The number of moles of \(\text{H}_2\text{A} = 0.0250\text{ dm}^3 \times 0.100\text{ mol dm}^{-3} = 0.00250\text{ mol}\). According to the stoichiometric ratio, the number of moles of \(\text{NaOH}\) required \(= 2 \times 0.00250\text{ mol} = 0.00500\text{ mol}\). Thus, the concentration of the \(\text{NaOH}\) solution \(= \frac{0.00500\text{ mol}}{0.0200\text{ dm}^3} = 0.250\text{ mol dm}^{-3}\).

Marking scheme

Award 1 mark for Option C. Option B is a common distractor if the 1:2 mole ratio of acid to alkali is incorrectly taken as 1:1. Option A is obtained if the ratio is reversed.
Question 18 · Multiple Choice
1 marks
At \(298\text{ K}\), which of the following aqueous solutions has the lowest pH value?
  1. A.\(0.1\text{ mol dm}^{-3}\ \text{HNO}_3(aq)\)
  2. B.\(0.1\text{ mol dm}^{-3}\ \text{H}_2\text{SO}_4(aq)\)
  3. C.\(0.1\text{ mol dm}^{-3}\ \text{CH}_3\text{COOH}(aq)\)
  4. D.\(0.1\text{ mol dm}^{-3}\ \text{HCl}(aq)\)

Answer

B

Worked solution

\(\text{HNO}_3\) and \(\text{HCl}\) are strong monoprotic acids. At \(0.1\text{ mol dm}^{-3}\), they fully dissociate to give \([\text{H}^+] = 0.1\text{ mol dm}^{-3}\) (pH = 1). \(\text{CH}_3\text{COOH}\) is a weak acid and only partially dissociates, giving \([\text{H}^+] < 0.1\text{ mol dm}^{-3}\) (pH > 1). \(\text{H}_2\text{SO}_4\) is a strong diprotic acid. Its first dissociation is complete, giving \(0.1\text{ mol dm}^{-3}\) of \(\text{H}^+\), and its second dissociation further contributes to the concentration of \(\text{H}^+\), making \([\text{H}^+] > 0.1\text{ mol dm}^{-3}\). Therefore, \(0.1\text{ mol dm}^{-3}\ \text{H}_2\text{SO}_4(aq)\) has the highest concentration of hydrogen ions and the lowest pH value.

Marking scheme

Award 1 mark for Option B. Strong diprotic acids release more hydrogen ions than monoprotic acids of the same molarity, thus giving a lower pH.
Question 19 · Multiple Choice
1 marks
Which of the following statements concerning transition metals is/are correct?

(1) They have high melting points and high densities compared to Group I metals.
(2) They can form colored compounds.
(3) They can exhibit variable oxidation states in their compounds.
  1. A.(1) and (2) only
  2. B.(1) and (3) only
  3. C.(2) and (3) only
  4. D.(1), (2) and (3)

Answer

D

Worked solution

(1) Transition metals typically have giant metallic structures with strong metallic bonding because they have more delocalized electrons, resulting in high melting points and densities. (2) They have partially filled d-orbitals which allow d-d electronic transitions that absorb specific wavelengths of visible light, leading to colored ions and compounds. (3) They have d-electrons in their inner shell that can participate in bonding, enabling them to exhibit variable oxidation states. All three statements are correct.

Marking scheme

Award 1 mark for Option D. All listed characteristics are fundamental properties of transition metals in the DSE syllabus.
Question 20 · Multiple Choice
1 marks
Which of the following compounds can exhibit enantiomerism (optical isomerism)?
  1. A.2-Chlorobutane
  2. B.1-Chlorobutane
  3. C.2-Chloropropane
  4. D.2-Methylpropane

Answer

A

Worked solution

Enantiomerism requires the presence of a chiral carbon atom (a carbon bonded to four different atoms or groups of atoms). In 2-chlorobutane, the second carbon (C-2) is bonded to: (1) a hydrogen atom (\(-\text{H}\)), (2) a chlorine atom (\(-\text{Cl}\)), (3) a methyl group (\(-\text{CH}_3\)), and (4) an ethyl group (\(-\text{CH}_2\text{CH}_3\)). Since all four attached groups are different, C-2 is chiral, making 2-chlorobutane optically active. The other compounds listed do not possess a chiral carbon.

Marking scheme

Award 1 mark for Option A. Other options are achiral because they contain carbon atoms bonded to at least two identical groups.
Question 21 · Multiple Choice
1 marks
Which of the following molecules has/have a net dipole moment of zero?

(1) \( \text{SF}_4 \)
(2) \( \text{BF}_3 \)
(3) \( \text{trans-1,2-dichloroethene} \)
  1. A.(1) only
  2. B.(2) only
  3. C.(1) and (3) only
  4. D.(2) and (3) only

Answer

D

Worked solution

(1) \( \text{SF}_4 \) has a see-saw molecular shape (derived from a trigonal bipyramidal electron-pair geometry with one lone pair), which is asymmetrical. Thus, the polar S-F bonds do not cancel out, resulting in a net dipole moment.
(2) \( \text{BF}_3 \) has a symmetrical trigonal planar molecular shape. The polar B-F bonds cancel each other out completely, resulting in a net dipole moment of zero.
(3) \( \text{trans-1,2-dichloroethene} \) has a highly symmetrical planar shape. The dipoles of the two polar C-Cl bonds point in opposite directions and cancel out, as do the C-H bonds, resulting in a net dipole moment of zero.

Marking scheme

Award 1 mark for the correct answer D. No partial marks.
Question 22 · Multiple Choice
1 marks
Consider the following experimental results of four metals, W, X, Y and Z:

(1) X can displace Y from \( \text{Y(NO}_3\text{)}_2(\text{aq}) \).
(2) Heating the oxide of X with carbon powder produces no change, whereas heating the oxide of W with carbon powder produces metal W.
(3) Both W and Y react with dilute \( \text{HCl}(\text{aq}) \) to produce hydrogen gas, but W reacts more vigorously.
(4) Metal Z is obtained by heating its oxide alone.

Which of the following shows the descending order of reactivity of the four metals?
  1. A.X > W > Y > Z
  2. B.X > Y > W > Z
  3. C.W > X > Y > Z
  4. D.Y > X > W > Z

Answer

A

Worked solution

- From (1), X is more reactive than Y (X > Y).
- From (2), X oxide cannot be reduced by carbon, but W oxide can, which indicates that X is more reactive than W (X > W).
- From (3), both react with dilute HCl, but W reacts more vigorously than Y, which indicates W is more reactive than Y (W > Y).
- From (4), Z is very unreactive since its oxide can be decomposed by heat alone (Z is lowest in reactivity).
Combining these results, the descending order of reactivity is: X > W > Y > Z.

Marking scheme

Award 1 mark for the correct answer A. No partial marks.
Question 23 · Multiple Choice
1 marks
When chlorine gas is bubbled into a hot concentrated sodium hydroxide solution, chlorine undergoes disproportionation. What are the oxidation numbers of chlorine in the products formed?
  1. A.-1 and +1
  2. B.-1 and +3
  3. C.-1 and +5
  4. D.-3 and +5

Answer

C

Worked solution

When chlorine gas reacts with hot concentrated sodium hydroxide solution, the chemical equation is:
\( 3\text{Cl}_2(\text{g}) + 6\text{NaOH}(\text{aq}) \rightarrow 5\text{NaCl}(\text{aq}) + \text{NaClO}_3(\text{aq}) + 3\text{H}_2\text{O}(\text{l}) \)
Chlorine in \( \text{NaCl} \) has an oxidation number of -1.
Chlorine in \( \text{NaClO}_3 \) has an oxidation number of +5.
Therefore, the oxidation numbers of chlorine in the products are -1 and +5.

Marking scheme

Award 1 mark for the correct answer C. No partial marks.
Question 24 · Multiple Choice
1 marks
Consider \( 100\text{ cm}^3 \) of \( 0.10\text{ mol dm}^{-3}\ \text{HCl(aq)} \) and \( 100\text{ cm}^3 \) of \( 0.10\text{ mol dm}^{-3}\ \text{CH}_3\text{COOH(aq)} \) at room temperature. Which of the following statements are correct?

(1) Both solutions require the same volume of \( 0.10\text{ mol dm}^{-3}\ \text{NaOH(aq)} \) for complete neutralisation.
(2) Both solutions have the same electrical conductivity.
(3) Both solutions produce the same volume of hydrogen gas when reacted with excess zinc granules.
  1. A.(1) and (2) only
  2. B.(1) and (3) only
  3. C.(2) and (3) only
  4. D.(1), (2) and (3)

Answer

B

Worked solution

(1) Correct. Both are monoprotic acids and contain \( 0.010\text{ mol} \) of ionisable hydrogen atoms. Thus, both require the same number of moles (and hence the same volume) of NaOH for complete neutralisation.
(2) Incorrect. \( \text{HCl} \) is a strong acid which completely ionises, while \( \text{CH}_3\text{COOH} \) is a weak acid which only partially ionises. Thus, \( \text{HCl(aq)} \) has a much higher concentration of ions and higher electrical conductivity.
(3) Correct. Since zinc is in excess, the total yield of hydrogen gas depends only on the total number of moles of ionisable hydrogen atoms in the acids, which is identical for both solutions.

Marking scheme

Award 1 mark for the correct answer B. No partial marks.
Question 25 · Multiple Choice
1 marks
A \( 1.25\text{ g} \) sample of eggshell was reacted with \( 50.0\text{ cm}^3 \) of \( 0.500\text{ mol dm}^{-3}\ \text{HCl(aq)} \). The excess acid required \( 28.50\text{ cm}^3 \) of \( 0.100\text{ mol dm}^{-3}\ \text{NaOH(aq)} \) for complete neutralisation. What is the percentage by mass of calcium carbonate in the eggshell?

(Molar mass of \( \text{CaCO}_3 = 100.1\text{ g mol}^{-1} \))
  1. A.44.3%
  2. B.55.4%
  3. C.88.7%
  4. D.95.2%

Answer

C

Worked solution

1. Initial moles of HCl = \( 0.0500\text{ dm}^3 \times 0.500\text{ mol dm}^{-3} = 0.0250\text{ mol} \)
2. Moles of NaOH used = \( 0.0285\text{ dm}^3 \times 0.100\text{ mol dm}^{-3} = 0.00285\text{ mol} \)
3. Excess moles of HCl = \( 0.00285\text{ mol} \)
4. Moles of HCl reacted with \( \text{CaCO}_3 \) = \( 0.0250 - 0.00285 = 0.02215\text{ mol} \)
5. Since \( \text{CaCO}_3 + 2\text{HCl} \rightarrow \text{CaCl}_2 + \text{CO}_2 + \text{H}_2\text{O} \),
moles of \( \text{CaCO}_3 \) = \( \frac{0.02215}{2} = 0.011075\text{ mol} \)
6. Mass of \( \text{CaCO}_3 \) = \( 0.011075\text{ mol} \times 100.1\text{ g mol}^{-1} = 1.1086\text{ g} \)
7. Percentage by mass = \( \frac{1.1086\text{ g}}{1.25\text{ g}} \times 100\% = 88.69\% \approx 88.7\% \)

Marking scheme

Award 1 mark for the correct answer C. No partial marks.
Question 26 · Multiple Choice
1 marks
Consider the following synthetic route:

\( \text{Propene} \xrightarrow{\text{Step 1}} \text{2-bromopropane} \xrightarrow{\text{Step 2}} \text{Propan-2-ol} \xrightarrow{\text{Step 3}} \text{Propanone} \)

Which of the following combinations of reagents is most suitable?
  1. A.Step 1: \( \text{Br}_2(\text{aq}) \); Step 2: \( \text{NaOH(aq)} \); Step 3: \( \text{NaBH}_4 \)
  2. B.Step 1: \( \text{HBr(g)} \); Step 2: \( \text{NaOH(aq)} \); Step 3: acidified \( \text{K}_2\text{Cr}_2\text{O}_7(\text{aq}) \)
  3. C.Step 1: \( \text{HBr(g)} \); Step 2: \( \text{NaOH(ethanol)} \); Step 3: acidified \( \text{K}_2\text{Cr}_2\text{O}_7(\text{aq}) \)
  4. D.Step 1: \( \text{Br}_2\text{/CH}_2\text{Cl}_2 \); Step 2: \( \text{H}_2\text{O(l)} \); Step 3: \( \text{LiAlH}_4 \)

Answer

B

Worked solution

- Step 1: Addition of hydrogen bromide (e.g., \( \text{HBr(g)} \) or concentrated \( \text{HBr(aq)} \)) to propene yields 2-bromopropane as the major product.
- Step 2: Nucleophilic substitution using aqueous sodium hydroxide (\( \text{NaOH(aq)} \)) under heat converts 2-bromopropane to propan-2-ol.
- Step 3: Oxidation of the secondary alcohol propan-2-ol to the ketone propanone requires acidified potassium dichromate solution (\( \text{K}_2\text{Cr}_2\text{O}_7\text{/H}^+(\text{aq}) \)) under heat.

Marking scheme

Award 1 mark for the correct answer B. No partial marks.
Question 27 · Multiple Choice
1 marks
How many structural isomers (including cyclic compounds) have the molecular formula \( \text{C}_4\text{H}_8 \)?
  1. A.3
  2. B.4
  3. C.5
  4. D.6

Answer

C

Worked solution

The molecular formula \( \text{C}_4\text{H}_8 \) represents compounds with one double bond or one ring.
Acyclic alkenes (3 structural isomers):
1. But-1-ene: \( \text{CH}_2=\text{CH-CH}_2\text{-CH}_3 \)
2. But-2-ene: \( \text{CH}_3\text{-CH}=\text{CH-CH}_3 \) (Note: cis- and trans-but-2-ene are stereoisomers, but they are the same structural isomer)
3. 2-methylpropene: \( \text{CH}_2=\text{C(CH}_3)_2 \)

Cyclic alkanes (2 structural isomers):
4. Cyclobutane
5. Methylcyclopropane

Total = 3 + 2 = 5 structural isomers.

Marking scheme

Award 1 mark for the correct answer C. No partial marks.
Question 28 · Multiple Choice
1 marks
Given the following standard enthalpy changes of combustion:

\( \Delta H_c^\theta[\text{C(graphite)}] = -393.5\text{ kJ mol}^{-1} \)
\( \Delta H_c^\theta[\text{H}_2(\text{g})] = -285.8\text{ kJ mol}^{-1} \)
\( \Delta H_c^\theta[\text{C}_2\text{H}_2(\text{g})] = -1299.6\text{ kJ mol}^{-1} \)

What is the standard enthalpy change of formation of ethyne (\( \text{C}_2\text{H}_2(\text{g}) \))?
  1. A.\( -226.8\text{ kJ mol}^{-1} \)
  2. B.\( +226.8\text{ kJ mol}^{-1} \)
  3. C.\( -620.3\text{ kJ mol}^{-1} \)
  4. D.\( +620.3\text{ kJ mol}^{-1} \)

Answer

B

Worked solution

The formation reaction of ethyne is:
\( 2\text{C(graphite)} + \text{H}_2(\text{g}) \rightarrow \text{C}_2\text{H}_2(\text{g}) \)

According to Hess's Law, the enthalpy change of formation is:
\( \Delta H_f^\theta = 2 \times \Delta H_c^\theta[\text{C(graphite)}] + \Delta H_c^\theta[\text{H}_2(\text{g})] - \Delta H_c^\theta[\text{C}_2\text{H}_2(\text{g})] \)
\( \Delta H_f^\theta = 2(-393.5) + (-285.8) - (-1299.6) \)
\( \Delta H_f^\theta = -787.0 - 285.8 + 1299.6 = +226.8\text{ kJ mol}^{-1} \)

Marking scheme

Award 1 mark for the correct answer B. No partial marks.
Question 29 · Multiple Choice
1 marks
In a closed container of volume \( 2.0\text{ dm}^3 \), \( 1.0\text{ mol} \) of \( \text{PCl}_5(\text{g}) \) is heated to a constant temperature. When the system reaches equilibrium, \( 0.60\text{ mol} \) of \( \text{PCl}_3(\text{g}) \) is found in the container.

\( \text{PCl}_5(\text{g}) \rightleftharpoons \text{PCl}_3(\text{g}) + \text{Cl}_2(\text{g}) \)

What is the value of the equilibrium constant \( K_c \) at this temperature?
  1. A.\( 0.45\text{ mol dm}^{-3} \)
  2. B.\( 0.90\text{ mol dm}^{-3} \)
  3. C.\( 1.80\text{ mol dm}^{-3} \)
  4. D.\( 0.225\text{ mol dm}^{-3} \)

Answer

A

Worked solution

Let's set up the equilibrium mole table:
Reaction: \( \text{PCl}_5(\text{g}) \rightleftharpoons \text{PCl}_3(\text{g}) + \text{Cl}_2(\text{g}) \)
Initial moles: \( \text{PCl}_5 = 1.0 \), \( \text{PCl}_3 = 0 \), \( \text{Cl}_2 = 0 \)
Change in moles: \( \text{PCl}_5 = -0.60 \), \( \text{PCl}_3 = +0.60 \), \( \text{Cl}_2 = +0.60 \)
Equilibrium moles: \( \text{PCl}_5 = 0.40 \), \( \text{PCl}_3 = 0.60 \), \( \text{Cl}_2 = 0.60 \)

At equilibrium, the concentration of each gas (volume \( V = 2.0\text{ dm}^3 \)):
\( [\text{PCl}_5] = \frac{0.40\text{ mol}}{2.0\text{ dm}^3} = 0.20\text{ mol dm}^{-3} \)
\( [\text{PCl}_3] = \frac{0.60\text{ mol}}{2.0\text{ dm}^3} = 0.30\text{ mol dm}^{-3} \)
\( [\text{Cl}_2] = \frac{0.60\text{ mol}}{2.0\text{ dm}^3} = 0.30\text{ mol dm}^{-3} \)

\( K_c = \frac{[\text{PCl}_3][\text{Cl}_2]}{[\text{PCl}_5]} = \frac{0.30 \times 0.30}{0.20} = 0.45\text{ mol dm}^{-3} \)

Marking scheme

Award 1 mark for the correct answer A. No partial marks.
Question 30 · Multiple Choice
1 marks
Which of the following methods is/are suitable for monitoring the rate of the alkaline hydrolysis of ethyl ethanoate?

\( \text{CH}_3\text{COOCH}_2\text{CH}_3(\text{l}) + \text{NaOH}(\text{aq}) \rightarrow \text{CH}_3\text{COONa}(\text{aq}) + \text{CH}_3\text{CH}_2\text{OH}(\text{aq}) \)

(1) Measuring the change in electrical conductivity of the mixture.
(2) Measuring the change in pH of the mixture.
(3) Measuring the change in volume of the mixture.
  1. A.(1) only
  2. B.(2) only
  3. C.(1) and (2) only
  4. D.(2) and (3) only

Answer

C

Worked solution

(1) Suitable. Hydroxide ions (\( \text{OH}^- \)), which have high ionic mobility, are replaced by ethanoate ions (\( \text{CH}_3\text{COO}^- \)), which have much lower ionic mobility. Thus, there is a measurable decrease in the electrical conductivity of the mixture over time.
(2) Suitable. As \( \text{OH}^- \) ions are consumed in the reaction, the pH of the mixture decreases significantly, which can be monitored using a pH meter.
(3) Not suitable. The reaction occurs entirely in the liquid phase and no gas is produced or consumed. The change in volume of the liquid mixture is negligible and cannot be used to monitor the rate.

Marking scheme

Award 1 mark for the correct answer C. No partial marks.
Question 31 · Multiple Choice
1 marks
Consider the following chemical processes:

I. \(\underline{\text{Cr}}_2\text{O}_7^{2-} \rightarrow \text{Cr}^{3+}\)
II. \(\text{H}_2\underline{\text{O}}_2 \rightarrow \text{O}_2\)
III. \(\underline{\text{N}}\text{O}_2 \rightarrow \text{N}_2\text{O}_4\)

Which of the processes involves reduction of the underlined element?
  1. A.I only
  2. B.II only
  3. C.I and III only
  4. D.II and III only

Answer

A

Worked solution

I. In \(\text{Cr}_2\text{O}_7^{2-}\), the oxidation state of \(\text{Cr}\) is +6. In \(\text{Cr}^{3+}\), it is +3. This is a reduction (decrease in oxidation number).
II. In \(\text{H}_2\text{O}_2\), the oxidation state of \(\text{O}\) is -1. In \(\text{O}_2\), it is 0. This is an oxidation (increase in oxidation number).
III. In both \(\text{NO}_2\) and \(\text{N}_2\text{O}_4\), the oxidation state of \(\text{N}\) is +4. There is no change in oxidation state.

Marking scheme

Award 1 mark for the correct option (A). No partial marks.
Question 32 · Multiple Choice
1 marks
Which of the following species has a trigonal pyramidal shape?
  1. A.\(\text{BF}_3\)
  2. B.\(\text{H}_3\text{O}^+\)
  3. C.\(\text{NH}_4^+\)
  4. D.\(\text{CO}_3^{2-}\)

Answer

B

Worked solution

In \(\text{H}_3\text{O}^+\), the central oxygen atom has 5 valence electrons (6 - 1 from positive charge). It forms three single covalent bonds with hydrogen atoms and has one lone pair of electrons. According to VSEPR theory, a species with 3 bond pairs and 1 lone pair has a trigonal pyramidal shape. \(\text{BF}_3\) and \(\text{CO}_3^{2-}\) are trigonal planar, while \(\text{NH}_4^+\) is tetrahedral.

Marking scheme

Award 1 mark for selecting B. No partial marks.
Question 33 · Multiple Choice
1 marks
Consider the following reversible reaction at equilibrium in a closed container:

\(2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g})\) \(\Delta H < 0\)

Which of the following changes would increase the value of the equilibrium constant (\(K_c\))?
  1. A.Increasing the temperature of the container
  2. B.Decreasing the temperature of the container
  3. C.Adding a catalyst to the mixture
  4. D.Decreasing the volume of the container

Answer

B

Worked solution

The value of the equilibrium constant \(K_c\) depends solely on the temperature. Since the forward reaction is exothermic (\(\Delta H < 0\)), lowering the temperature of the container shifts the equilibrium position to the right, which increases the concentrations of products and decreases those of reactants. Consequently, the value of \(K_c\) increases. Changes in pressure, volume, concentration, or addition of a catalyst do not alter the value of \(K_c\).

Marking scheme

Award 1 mark for selecting B. No partial marks.
Question 34 · Multiple Choice
1 marks
An organic compound \(X\) has the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\). It reacts with hot sodium hydroxide solution under reflux to give sodium ethanoate and ethanol. What is the structure of \(X\)?
  1. A.\(\text{CH}_3\text{CH}_2\text{COOCH}_3\)
  2. B.\(\text{CH}_3\text{COOCH}_2\text{CH}_3\)
  3. C.\(\text{HCOOCH}_2\text{CH}_2\text{CH}_3\)
  4. D.\(\text{CH}_3\text{CH}_2\text{CH}_2\text{COOH}\)

Answer

B

Worked solution

Since \(X\) undergoes alkaline hydrolysis (reaction with NaOH) to form sodium ethanoate and ethanol, \(X\) must be an ester formed from ethanoic acid (giving sodium ethanoate) and ethanol (giving ethanol). Thus, \(X\) is ethyl ethanoate, with the chemical formula \(\text{CH}_3\text{COOCH}_2\text{CH}_3\).

Marking scheme

Award 1 mark for the correct answer B. No partial marks.
Question 35 · Multiple Choice
1 marks
Consider the following thermochemical equations:

\(2\text{C(s)} + 2\text{H}_2\text{(g)} + \text{O}_2\text{(g)} \rightarrow \text{CH}_3\text{COOH(l)}\) \(\Delta H_1\)
\(\text{C(s)} + \text{O}_2\text{(g)} \rightarrow \text{CO}_2\text{(g)}\) \(\Delta H_2\)
\(\text{H}_2\text{(g)} + \frac{1}{2}\text{O}_2\text{(g)} \rightarrow \text{H}_2\text{O(l)}\) \(\Delta H_3\)

What is the enthalpy change of combustion of ethanoic acid (\(\text{CH}_3\text{COOH(l)}\))?
  1. A.\(\Delta H_2 + \Delta H_3 - \Delta H_1\)
  2. B.\(2\Delta H_2 + 2\Delta H_3 - \Delta H_1\)
  3. C.\(\Delta H_1 - 2\Delta H_2 - 2\Delta H_3\)
  4. D.\(2\Delta H_2 + 2\Delta H_3 + \Delta H_1\)

Answer

B

Worked solution

The equation for the combustion of ethanoic acid is:
\(\text{CH}_3\text{COOH(l)} + 2\text{O}_2\text{(g)} \rightarrow 2\text{CO}_2\text{(g)} + 2\text{H}_2\text{O(l)}\)
Using Hess's law, we construct this targeted equation from the given steps:
- Reverse Eq (1): \(\text{CH}_3\text{COOH(l)} \rightarrow 2\text{C(s)} + 2\text{H}_2\text{(g)} + \text{O}_2\text{(g)}\) (\(-\Delta H_1\))
- Multiply Eq (2) by 2: \(2\text{C(s)} + 2\text{O}_2\text{(g)} \rightarrow 2\text{CO}_2\text{(g)}\) (\(2\Delta H_2\))
- Multiply Eq (3) by 2: \(2\text{H}_2\text{(g)} + \text{O}_2\text{(g)} \rightarrow 2\text{H}_2\text{O(l)}\) (\(2\Delta H_3\))
Adding these equations together gives the overall combustion equation. Thus, the total enthalpy change is \(2\Delta H_2 + 2\Delta H_3 - \t\Delta H_1\).

Marking scheme

Award 1 mark for option B. No partial marks.
Question 36 · Multiple Choice
1 marks
A solution is prepared by dissolving \(1.38\text{ g}\) of a metal carbonate (\(\text{M}_2\text{CO}_3\)) in water and making it up to \(250.0\text{ cm}^3\). \(25.0\text{ cm}^3\) of this solution requires \(20.0\text{ cm}^3\) of \(0.100\text{ mol dm}^{-3}\) hydrochloric acid (\(\text{HCl}\)) for complete neutralisation. What is the metal \(\text{M}\)?

(Relative atomic masses: \(\text{Li} = 6.9\), \(\text{Na} = 23.0\), \(\text{K} = 39.1\), \(\text{Rb} = 85.5\), \(\text{C} = 12.0\), \(\text{O} = 16.0\))
  1. A.Lithium
  2. B.Sodium
  3. C.Potassium
  4. D.Rubidium

Answer

C

Worked solution

The neutralisation equation is:
\(\text{M}_2\text{CO}_3(\text{aq}) + 2\text{HCl}(\text{aq}) \rightarrow 2\text{MCl}(\text{aq}) + \text{CO}_2(\text{g}) + \text{H}_2\text{O}(\text{l})\)
Number of moles of \(\text{HCl}\) used in the titration = \(0.100 \times 0.0200 = 0.00200\text{ mol}\).
Since 1 mole of \(\text{M}_2\text{CO}_3\) reacts with 2 moles of \(\text{HCl}\):
Number of moles of \(\text{M}_2\text{CO}_3\) in \(25.0\text{ cm}^3\) = \(0.00200 / 2 = 0.00100\text{ mol}\).
Number of moles of \(\text{M}_2\text{CO}_3\) in the total \(250.0\text{ cm}^3\) solution = \(0.00100 \times (250.0 / 25.0) = 0.0100\text{ mol}\).
Molar mass of \(\text{M}_2\text{CO}_3 = 1.38\text{ g} / 0.0100\text{ mol} = 138.0\text{ g mol}^{-1}\).
Let \(x\) be the relative atomic mass of \(\text{M}\):
\(2x + 12.0 + 3(16.0) = 138.0\)
\(2x + 60.0 = 138.0\)
\(2x = 78.0 \Rightarrow x = 39.0\).
Therefore, \(\text{M}\) is Potassium (\(\text{K}\), relative atomic mass \(39.1\)).

Marking scheme

Award 1 mark for selecting C. No partial marks.

Paper 1B (Structured Questions)

Answer all questions in the spaces provided. Section B consists of Part I (core) and Part II (extension).
14 Question · 84 marks
Question 1 · Structured Question
4 marks
Carbonyl chloride (\(\text{COCl}_2\)) is a highly toxic gas. (a) Draw a 3-dimensional representation of a \(\text{COCl}_2\) molecule and state its shape. (b) Explain whether \(\text{COCl}_2\) is a polar molecule with reference to its shape and electronegativity.

Answer

Trigonal planar; polar.

Worked solution

(a) Drawing shows central carbon atom double-bonded to oxygen and single-bonded to two chlorine atoms in a flat, trigonal arrangement with wedge/dash or flat lines. The shape name is trigonal planar. (b) Oxygen and chlorine are more electronegative than carbon, resulting in polar C=O and C-Cl bonds. Because the trigonal planar shape is asymmetrical, the dipoles do not cancel each other out, resulting in a net dipole moment.

Marking scheme

(a) 1 mark for correct 3D representation showing trigonal planar geometry with a double bond to O and two single bonds to Cl. 1 mark for stating 'trigonal planar'. (b) 1 mark for explaining that O and Cl are more electronegative than C, leading to polar bonds. 1 mark for explaining that the asymmetrical shape prevents the bond dipoles from canceling, making it polar.
Question 2 · Structured Question
4 marks
A student performs experiments with three metals: Mg, Zn, and Cu. (a) State the expected observations when magnesium ribbon is added to aqueous copper(II) sulfate. (b) Write an ionic equation for the reaction that occurs when zinc is added to copper(II) sulfate solution, and explain why this is a redox reaction in terms of electron transfer.

Answer

Blue solution fades, red-brown solid deposits; Zn(s) + Cu2+(aq) -> Zn2+(aq) + Cu(s); Zn loses electrons while Cu2+ gains electrons.

Worked solution

(a) The blue solution gradually fades (or becomes colorless), and a reddish-brown solid is deposited on the surface of the magnesium. (b) Ionic equation: \(\text{Zn}(s) + \text{Cu}^{2+}(aq) \rightarrow \text{Zn}^{2+}(aq) + \text{Cu}(s)\). It is a redox reaction because zinc atoms lose electrons (oxidation) to form zinc ions, while copper(II) ions gain electrons (reduction) to form copper atoms.

Marking scheme

(a) 1 mark for 'blue solution fades/colorless'. 1 mark for 'red-brown solid'. (b) 1 mark for correct ionic equation with state symbols. 1 mark for explaining that Zn loses electrons (oxidation) and Cu2+ gains electrons (reduction).
Question 3 · Structured Question
4 marks
A 25.00 mL sample of a commercial vinegar brand was diluted to 250.0 mL with deionized water in a volumetric flask. A 25.00 mL aliquot of this diluted solution was titrated against \(0.120\text{ mol dm}^{-3}\) \(\text{NaOH}(aq)\), requiring exactly 18.50 mL of the alkali for complete neutralization. (a) Suggest a suitable indicator for this titration and state the color change at the end point. (b) Calculate the concentration of ethanoic acid in the original commercial vinegar in \(\text{mol dm}^{-3}\).

Answer

Phenolphthalein, colorless to pale pink; 0.888 mol dm-3.

Worked solution

(a) Phenolphthalein is suitable because it is a weak acid-strong base titration. The color changes from colorless to pale pink. (b) Moles of NaOH = \(0.120 \times 0.01850 = 0.00222\text{ mol}\). Since ethanoic acid and NaOH react in a 1:1 ratio, moles of CH3COOH in 25.00 mL diluted solution = 0.00222 mol. Concentration of diluted acid = \(0.00222 / 0.02500 = 0.0888\text{ mol dm}^{-3}\). Since the dilution factor is 10 (from 25.00 mL to 250.0 mL), the original concentration = \(0.0888 \times 10 = 0.888\text{ mol dm}^{-3}\).

Marking scheme

(a) 1 mark for phenolphthalein. 1 mark for 'colorless to pale/light pink' (reject deep pink/purple). (b) 1 mark for calculating diluted concentration (0.0888 mol dm-3) or showing dilution calculation. 1 mark for correct final answer of 0.888 mol dm-3 with unit.
Question 4 · Structured Question
4 marks
Consider the carboxylic acid and ester isomers with the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\). (a) Draw the structures of the TWO possible carboxylic acid isomers of this formula and give their systematic names. (b) Draw the structure of an ester isomer with this formula that, upon alkaline hydrolysis followed by acidification, yields methanol as one of the products. State its systematic name.

Answer

Butanoic acid and 2-methylpropanoic acid; Methyl propanoate.

Worked solution

(a) The two carboxylic acids are butanoic acid, \(\text{CH}_3\text{CH}_2\text{CH}_2\text{COOH}\), and 2-methylpropanoic acid, \((\text{CH}_3)_2\text{CHCOOH}\). (b) The ester must be a methyl ester to yield methanol. With 4 carbons in total, the ester is methyl propanoate, \(\text{CH}_3\text{CH}_2\text{COOCH}_3\).

Marking scheme

(a) 1 mark for drawing both structures correctly. 1 mark for both systematic names ('butanoic acid' and '2-methylpropanoic acid'). (b) 1 mark for drawing the structure of methyl propanoate correctly. 1 mark for 'methyl propanoate'.
Question 5 · Structured Question
4 marks
The following equilibrium exists in an aqueous solution of chromate and dichromate ions: \(2\text{CrO}_4^{2-}(aq) [\text{yellow}] + 2\text{H}^+(aq) \rightleftharpoons \text{Cr}_2\text{O}_7^{2-}(aq) [\text{orange}] + \text{H}_2\text{O}(l)\). (a) Describe and explain the color change of the solution when a few drops of concentrated \(\text{NaOH}(aq)\) are added. (b) State and explain how the equilibrium position shifts when concentrated \(\text{HCl}(aq)\) is added to the mixture.

Answer

Orange to yellow; shifts to the right.

Worked solution

(a) The solution turns from orange to yellow. Adding NaOH introduces hydroxide ions, which neutralize the hydrogen ions to form water, decreasing [H+]. By Le Chatelier's principle, the equilibrium shifts to the left to produce more hydrogen ions, leading to an increase in yellow chromate ions. (b) The equilibrium position shifts to the right (product side). Adding HCl increases [H+]. By Le Chatelier's principle, the system shifts to the right to consume the added H+ ions.

Marking scheme

(a) 1 mark for stating color change 'orange to yellow'. 1 mark for explaining that OH- reacts with H+, decreasing [H+], shifting equilibrium to the left. (b) 1 mark for stating 'shifts to the right'. 1 mark for explaining that adding H+ shifts equilibrium to the right to consume H+.
Question 6 · Structured Question
4 marks
Given the following standard enthalpy changes of combustion (\(\Delta H_c^\ominus\)): \(\Delta H_c^\ominus[\text{C}(graphite)] = -393.5\text{ kJ mol}^{-1}\), \(\Delta H_c^\ominus[\text{H}_2(g)] = -285.8\text{ kJ mol}^{-1}\), and \(\Delta H_c^\ominus[\text{C}_3\text{H}_7\text{OH}(l)] = -2021.0\text{ kJ mol}^{-1}\). (a) Write the chemical equation representing the standard enthalpy change of formation of propan-1-ol (\(\text{C}_3\text{H}_7\text{OH}(l)\)). (b) Calculate the standard enthalpy change of formation of propan-1-ol.

Answer

3 C(graphite) + 4 H2(g) + 0.5 O2(g) -> C3H7OH(l); -302.7 kJ mol-1.

Worked solution

(a) Equation: \(3\text{C}(graphite) + 4\text{H}_2(g) + \frac{1}{2}\text{O}_2(g) \rightarrow \text{C}_3\text{H}_7\text{OH}(l)\). (b) Using Hess's law: \(\Delta H_f^\ominus[\text{C}_3\text{H}_7\text{OH}(l)] = 3 \times \Delta H_c^\ominus[\text{C}] + 4 \times \Delta H_c^\ominus[\text{H}_2] - \Delta H_c^\ominus[\text{C}_3\text{H}_7\text{OH}]\). Calculation: \(\Delta H_f^\ominus = 3(-393.5) + 4(-285.8) - (-2021.0) = -1180.5 - 1143.2 + 2021.0 = -302.7\text{ kJ mol}^{-1}\).

Marking scheme

(a) 1 mark for correct balanced chemical equation with state symbols. (b) 1 mark for showing correct cycle setup or algebraic formula. 1 mark for calculating correct intermediate numbers. 1 mark for correct final answer of -302.7 kJ mol-1 with sign and units.
Question 7 · Structured Question
4 marks
An aqueous solution of concentrated sodium chloride (brine) is electrolyzed using inert carbon electrodes. (a) State the product formed at the anode and write the half-equation for its formation. (b) Explain why the solution around the cathode becomes alkaline as the electrolysis proceeds.

Answer

Chlorine gas, 2Cl-(aq) -> Cl2(g) + 2e-; discharge of H+ leads to excess of OH-.

Worked solution

(a) Chlorine gas is formed at the anode. Half-equation: \(2\text{Cl}^-(aq) \rightarrow \text{Cl}_2(g) + 2e^-\). (b) At the cathode, hydrogen ions (from the self-ionization of water) are preferentially discharged to form hydrogen gas: \(2\text{H}^+(aq) + 2e^- \rightarrow \text{H}_2(g)\). As hydrogen ions are continuously consumed, the concentration of hydroxide ions remaining in the solution increases, making the solution around the cathode alkaline.

Marking scheme

(a) 1 mark for chlorine gas (or Cl2). 1 mark for correct half-equation. (b) 1 mark for stating that hydrogen ions are preferentially discharged to form hydrogen gas. 1 mark for explaining that the loss of H+ leaves an excess of OH- ions, making the solution alkaline.
Question 8 · Structured Question
4 marks
A student investigates the reaction: \(\text{CaCO}_3(s) + 2\text{HCl}(aq) \rightarrow \text{CaCl}_2(aq) + \text{CO}_2(g) + \text{H}_2\text{O}(l)\). She compares the rate using 5.0 g of large calcium carbonate chips versus 5.0 g of finely powdered calcium carbonate under identical conditions. (a) Sketch a graph to show the volume of \(\text{CO}_2(g)\) collected over time for both reactions on the same axes. Label the curves clearly. (b) Explain the difference in the initial rate of reaction in terms of collision theory.

Answer

Symmetric curve leveling at same height, powder is steeper; powder has greater surface area, increasing collision frequency.

Worked solution

(a) The graph should show two curves starting from the origin (0,0) and leveling off at the exact same final volume of carbon dioxide. The curve for 'powder' must have a steeper initial gradient than 'large chips' and reach the plateau earlier. (b) Powdered calcium carbonate has a much larger total surface area exposed to the acid. This increases the contact area and results in a higher frequency of collisions between reactant particles (calcium carbonate and H+ ions), which leads to a higher frequency of effective collisions per unit time, resulting in a faster initial reaction rate.

Marking scheme

(a) 1 mark for both curves starting at the origin and leveling off at the same final volume. 1 mark for the 'powder' curve being steeper and leveling off earlier than the 'large chips' curve. (b) 1 mark for stating that powder has a larger surface area. 1 mark for explaining that this increases the frequency of collisions / effective collisions between reactant particles.
Question 9 · Structured Question
4 marks
Silicon and carbon are both Group IV elements in the Periodic Table. However, silicon dioxide (\(\text{SiO}_2\)) has a melting point of over \(1700^\circ\text{C}\) while carbon dioxide (\(\text{CO}_2\)) sublimes at \(-78^\circ\text{C}\). (a) Describe the structure and bonding of silicon dioxide and explain why it has such a high melting point. (b) Describe the structure and bonding of carbon dioxide and explain why it sublimes at a very low temperature.

Answer

Giant covalent network structure vs simple molecular structure.

Worked solution

(a) Silicon dioxide has a giant covalent network structure. Each silicon atom is strongly bonded covalently to four oxygen atoms, and each oxygen to two silicon atoms. To melt silicon dioxide, a vast amount of energy is required to break these strong covalent bonds throughout the giant network. (b) Carbon dioxide has a simple molecular structure. Individual CO2 molecules are held together by weak intermolecular forces (Van der Waals' forces), while the carbon and oxygen atoms within each molecule are held by strong covalent bonds. Only a very small amount of energy is needed to overcome these weak intermolecular forces, causing it to sublime at low temperature.

Marking scheme

(a) 1 mark for identifying 'giant covalent network structure'. 1 mark for stating that a large amount of energy is required to break strong covalent bonds. (b) 1 mark for identifying 'simple molecular structure'. 1 mark for stating that only a small amount of energy is needed to overcome weak intermolecular forces / Van der Waals' forces.
Question 10 · Structured Question
4 marks
Poly(phenylethene), commonly known as polystyrene, is produced by the addition polymerisation of phenylethene. (a) Draw the structure of the monomer, phenylethene. (b) Draw the repeating unit of poly(phenylethene). (c) Suggest ONE environmental problem associated with the disposal of polystyrene products, and propose a green solution to mitigate this problem.

Answer

Monomer: CH2=CH(C6H5); Repeating unit: -[CH2-CH(C6H5)]-; Non-biodegradable; Recycle/pyrolysis or use starch-based alternatives.

Worked solution

(a) Monomer structure shows a C=C double bond with one hydrogen atom on one carbon replaced by a phenyl ring (benzene ring), \(\text{CH}_2=\text{CH}(\text{C}_6\text{H}_5)\). (b) Repeating unit structure shows a single C-C bond with open bonds extending from both carbons, and the phenyl ring attached to one carbon, \(-[\text{CH}_2-\text{CH}(\text{C}_6\text{H}_5)]-\). (c) Environmental problem: Polystyrene is non-biodegradable, persisting in landfills for hundreds of years and causing severe terrestrial/marine plastic pollution. Green solution: Promote catalytic pyrolysis to depolymerize polystyrene back into monomers for recycling, or replace polystyrene packaging with biodegradable materials (such as starch-based foam).

Marking scheme

(a) 1 mark for correct structure of phenylethene showing C=C bond and phenyl ring. (b) 1 mark for correct structure of the repeating unit with open bonds and single bonds. (c) 1 mark for a valid environmental problem (e.g., non-biodegradability, landfill accumulation, toxic gases on combustion). 1 mark for a corresponding green solution (e.g., recycling/pyrolysis, replacing with biodegradable plastics/starch-based packaging).
Question 11 · Calculations & Descriptive Essays
11 marks
A student wanted to determine the percentage by mass of \(\text{CaCO}_3\) in a sample of eggshell. A sample of dried eggshell weighing \(1.50\text{ g}\) was crushed and treated with \(50.0\text{ cm}^3\) of \(1.00\text{ mol dm}^{-3}\) \(\text{HCl(aq)}\). The mixture was boiled and filtered. The filtrate and washings were transferred to a \(250.0\text{ cm}^3\) volumetric flask and made up to the mark with deionised water. \(25.0\text{ cm}^3\) of this diluted solution required \(22.40\text{ cm}^3\) of \(0.125\text{ mol dm}^{-3}\) \(\text{NaOH(aq)}\) for complete neutralisation using phenolphthalein as indicator.

(a) Write the chemical equation for the reaction between \(\text{CaCO}_3\) and \(\text{HCl}\). (1 mark)
(b) State the color change of the indicator at the end point of the titration. (1 mark)
(c) Explain why the mixture was boiled after adding \(\text{HCl(aq)}\) but before filtration and titration. (2 marks)
(d) Calculate the percentage by mass of \(\text{CaCO}_3\) in the eggshell sample. (5 marks)
(e) Suggest one potential source of error in this analysis (other than transfer losses) and how it would affect the calculated percentage by mass. (2 marks)

Answer

73.4%

Worked solution

(a) \(\text{CaCO}_3\text{(s)} + 2\text{HCl(aq)} \rightarrow \text{CaCl}_2\text{(aq)} + \text{CO}_2\text{(g)} + \text{H}_2\text{O(l)}\)
(b) From colorless to pale pink.
(c) Boiling removes dissolved carbon dioxide / carbonic acid from the mixture. If not removed, the dissolved carbon dioxide would react with \(\text{NaOH}\) during the titration, causing an overestimation of the remaining acid and thus underestimating the percentage of \(\text{CaCO}_3\).
(d)
Moles of \(\text{NaOH}\) used = \(0.125\text{ mol dm}^{-3} \times 0.02240\text{ dm}^3 = 0.00280\text{ mol}\)
Moles of excess \(\text{HCl}\) in \(25.0\text{ cm}^3\) aliquot = \(0.00280\text{ mol}\)
Moles of excess \(\text{HCl}\) in \(250.0\text{ cm}^3\) volumetric flask = \(0.00280 \times 10 = 0.0280\text{ mol}\)
Moles of initial \(\text{HCl}\) added = \(1.00\text{ mol dm}^{-3} \times 0.0500\text{ dm}^3 = 0.0500\text{ mol}\)
Moles of \(\text{HCl}\) reacted with \(\text{CaCO}_3\) = \(0.0500 - 0.0280 = 0.0220\text{ mol}\)
Moles of \(\text{CaCO}_3\) in eggshell = \(0.0220 / 2 = 0.0110\text{ mol}\)
Mass of \(\text{CaCO}_3\) = \(0.0110\text{ mol} \times 100.1\text{ g mol}^{-1} = 1.101\text{ g}\)
Percentage by mass of \(\text{CaCO}_3\) = \((1.101\text{ g} / 1.50\text{ g}) \times 100\% = 73.4\%\)
(e) Source of error: The eggshell may contain other acid-reactive impurities (such as \(\text{MgCO}_3\)), which would lead to a higher calculated percentage by mass of \(\text{CaCO}_3\); OR incomplete drying of the eggshell sample, which would lead to a lower calculated percentage by mass.

Marking scheme

(a) Correct balanced equation: \(\text{CaCO}_3 + 2\text{HCl} \rightarrow \text{CaCl}_2 + \text{CO}_2 + \text{H}_2\text{O}\) (1)
(b) Correct color change: colorless to pale pink / pink (1)
(c) State that boiling removes dissolved carbon dioxide (1); explain that carbon dioxide reacts with sodium hydroxide to cause titration error (1)
(d) Correct calculation of moles of \(\text{NaOH}\) / excess \(\text{HCl}\) in aliquot (1); correct calculation of excess \(\text{HCl}\) in volumetric flask (1); correct calculation of reacted \(\text{HCl}\) (1); correct stoichiometry ratio (1:2) and moles of \(\text{CaCO}_3\) (1); correct mass and final percentage with 3 significant figures (1)
(e) Identify a plausible source of error (e.g., acid-reacting impurities or incomplete drying) (1); correctly state its effect on the final percentage (1)
Question 12 · Calculations & Descriptive Essays
11 marks
An organic compound A is a liquid ester with molecular formula \(\text{C}_5\text{H}_{10}\text{O}_2\). Acid hydrolysis of A yields a carboxylic acid B and an alcohol C. Oxidation of C with acidified potassium dichromate solution yields a ketone D.

(a) Deduce the structures of A, B, C, and D. Explain your reasoning. (5 marks)
(b) Describe a chemical test to distinguish between B and D. (2 marks)
(c) Compound B can react with alcohol C in the presence of concentrated sulfuric acid to regenerate ester A.
(i) Name this reaction type. (1 mark)
(ii) State two roles of concentrated sulfuric acid in this reaction. (2 marks)
(iii) Suggest why a boiling water bath is used to heat the reaction mixture instead of direct heating with a Bunsen burner. (1 mark)

Answer

A: CH3COOCH(CH3)2, B: CH3COOH, C: CH3CH(OH)CH3, D: CH3COCH3

Worked solution

(a)
1. Since A is an ester with molecular formula \(\text{C}_5\text{H}_{10}\text{O}_2\), its acid hydrolysis produces carboxylic acid B and alcohol C.
2. Oxidation of alcohol C yields ketone D, which implies that C must be a secondary alcohol.
3. The simplest secondary alcohol is propan-2-ol (3 carbons), so C is \(\text{CH}_3\text{CH(OH)CH}_3\) and D is propanone (\(\text{CH}_3\text{COCH}_3\)).
4. Since A has 5 carbons and C has 3 carbons, B must have 2 carbons. Thus, B is ethanoic acid (\(\text{CH}_3\text{COOH}\)).
5. Ester A, formed from B and C, is isopropyl ethanoate (or 1-methylethyl ethanoate, \(\text{CH}_3\text{COOCH(CH}_3)_2\)).

(b) Add sodium hydrogencarbonate solution to separate samples of B and D. B (ethanoic acid) will react to produce effervescence (colorless gas that turns limewater cloudy), whereas D (propanone) will show no observable change.

(c)
(i) Esterification (or condensation).
(ii) Concentrated sulfuric acid acts as a catalyst (to increase the reaction rate) and a dehydrating agent (to absorb water and shift the equilibrium position to the right to increase ester yield).
(iii) The reactants (propan-2-ol) and products (isopropyl ethanoate) are highly volatile and flammable. Direct heating with a Bunsen burner poses a severe fire hazard, whereas a water bath provides safe, even heating.

Marking scheme

(a) Deduce C is a secondary alcohol from the fact that its oxidation yields a ketone (1); Deduce that C has 3 carbons and B has 2 carbons (1); Correct structural formula/name for B (ethanoic acid) (1); Correct structural formula/name for C (propan-2-ol) (1); Correct structural formula/name for A (isopropyl ethanoate) and D (propanone) (1)
(b) State a suitable reagent (e.g. \(\text{NaHCO}_3\text{(aq)}\) or \(\text{Na}_2\text{CO}_3\text{(aq)}\) or Mg ribbon) (1); Describe correct observations for B and D (1)
(c) (i) Esterification / condensation (1)
(ii) Catalyst (1); Dehydrating agent (1)
(iii) To prevent the ignition of volatile and flammable reactants/products by open flames (1)
Question 13 · Calculations & Descriptive Essays
11 marks
Consider the following reversible gas-phase reaction:
\[2\text{SO}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{SO}_3\text{(g)} \quad \Delta H < 0\]
A mixture of \(0.60\text{ mol}\) of \(\text{SO}_2\text{(g)}\) and \(0.40\text{ mol}\) of \(\text{O}_2\text{(g)}\) was placed in a \(2.0\text{ dm}^3\) sealed vessel at a constant temperature \(T\). When the system reached equilibrium, \(0.16\text{ mol}\) of \(\text{O}_2\text{(g)}\) remained in the vessel.

(a) Write the expression for the equilibrium constant \(K_c\) for this reaction, and state its units. (2 marks)
(b) Calculate the value of \(K_c\) at temperature \(T\). (4 marks)
(c) Predict and explain the effect on the position of equilibrium and the value of \(K_c\) if:
(i) the volume of the vessel is decreased to \(1.0\text{ dm}^3\) at constant temperature \(T\). (3 marks)
(ii) the temperature of the system is increased at constant volume. (2 marks)

Answer

Kc = 200 dm^3 mol^-1

Worked solution

(a) \(K_c = \frac{[\text{SO}_3]^2}{[\text{SO}_2]^2 [\text{O}_2]}\)
Unit: \(\text{dm}^3\text{ mol}^{-1}\) (or \(\text{mol}^{-1}\text{ dm}^3\))

(b)
Let us calculate the equilibrium moles using an ICE table:
Reaction: \(2\text{SO}_2\text{(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{SO}_3\text{(g)}\)
Initial moles: \(\text{SO}_2 = 0.60\), \(\text{O}_2 = 0.40\), \(\text{SO}_3 = 0\)
Change in moles of \(\text{O}_2\) = \(0.16 - 0.40 = -0.24\text{ mol}\)
Change in moles of \(\text{SO}_2\) = \(2 \times (-0.24) = -0.48\text{ mol}\)
Change in moles of \(\text{SO}_3\) = \(2 \times (+0.24) = +0.48\text{ mol}\)

Equilibrium moles:
\(\text{SO}_2 = 0.60 - 0.48 = 0.12\text{ mol}\)
\(\text{O}_2 = 0.16\text{ mol}\)
\(\text{SO}_3 = 0.48\text{ mol}\)

Since the volume of the vessel is \(2.0\text{ dm}^3\), the equilibrium concentrations are:
\([\text{SO}_2] = 0.12\text{ mol} / 2.0\text{ dm}^3 = 0.060\text{ mol dm}^{-3}\)
\([\text{O}_2] = 0.16\text{ mol} / 2.0\text{ dm}^3 = 0.080\text{ mol dm}^{-3}\)
\([\text{SO}_3] = 0.48\text{ mol} / 2.0\text{ dm}^3 = 0.24\text{ mol dm}^{-3}\)

Substitute concentrations into the \(K_c\) expression:
\(K_c = \frac{(0.24)^2}{(0.060)^2 \times (0.080)} = \frac{0.0576}{0.0036 \times 0.080} = \frac{0.0576}{0.000288} = 200\)

(c)
(i) Position of equilibrium: Shifts to the right (product side).
Explanation: Decreasing volume increases the pressure of the system. According to Le Chatelier's Principle, the system shifts to decrease the pressure by moving towards the side with fewer number of gaseous moles (from 3 moles on the left to 2 moles on the right).
Effect on \(K_c\): No change, because temperature is kept constant.

(ii) Position of equilibrium: Shifts to the left (reactant side).
Explanation: The forward reaction is exothermic (\(\Delta H < 0\)). According to Le Chatelier's Principle, increasing temperature shifts the equilibrium in the endothermic direction (reverse reaction) to absorb heat.
Effect on \(K_c\): Decreases.

Marking scheme

(a) Correct \(K_c\) expression (1); Correct unit (1)
(b) Correct calculation of change in moles of \(\text{O}_2\) and equilibrium moles of \(\text{SO}_2\) and \(\text{SO}_3\) (1); Correct calculation of all three equilibrium concentrations (1); Correct substitution into \(K_c\) expression (1); Correct answer of 200 (1)
(c) (i) Correctly state equilibrium shifts right and explain in terms of pressure/gas moles (1); Correctly state \(K_c\) is unchanged (1); Explain that \(K_c\) is temperature-dependent only (1)
(ii) Correctly state equilibrium shifts left because forward reaction is exothermic (1); Correctly state \(K_c\) decreases (1)
Question 14 · Calculations & Descriptive Essays
11 marks
Direct methanol fuel cells (DMFCs) are promising power sources for portable electronic devices. A DMFC uses a proton exchange membrane (acidic) as the electrolyte. In this cell, methanol (\(\text{CH}_3\text{OH}\)) and water are supplied to the anode, where carbon dioxide is produced, and oxygen gas is supplied to the cathode, where water is produced.

(a) Write the chemical half-equation for the reaction occurring at the anode. (2 marks)
(b) Write the chemical half-equation for the reaction occurring at the cathode. (2 marks)
(c) Write the overall equation for the reaction occurring in the cell. (1 mark)
(d) State the direction of electron flow in the external circuit, and explain your answer in terms of redox processes. (2 marks)
(e) State one advantage and one disadvantage of a DMFC compared to a hydrogen-oxygen fuel cell. (2 marks)
(f) A portable electronic device requires a constant current of \(0.50\text{ A}\) for \(3.0\text{ hours}\). Calculate the minimum mass of methanol required to power the device for this duration. (Faraday constant \(F = 96500\text{ C mol}^{-1}\), molar mass of methanol = \(32.0\text{ g mol}^{-1}\)) (2 marks)

Answer

0.298 g

Worked solution

(a) Anode reaction (oxidation of methanol):
\(\text{CH}_3\text{OH(aq)} + \text{H}_2\text{O(l)} \rightarrow \text{CO}_2\text{(g)} + 6\text{H}^+\text{(aq)} + 6\text{e}^-\)
(b) Cathode reaction (reduction of oxygen):
\(\text{O}_2\text{(g)} + 4\text{H}^+\text{(aq)} + 4\text{e}^- \rightarrow 2\text{H}_2\text{O(l)}\)
(c) Overall cell reaction:
\(2\text{CH}_3\text{OH(aq)} + 3\text{O}_2\text{(g)} \rightarrow 2\text{CO}_2\text{(g)} + 4\text{H}_2\text{O(l)}\)
(d) Electrons flow from the anode (negative electrode) to the cathode (positive electrode) through the external circuit. At the anode, methanol undergoes oxidation and releases electrons; at the cathode, oxygen undergoes reduction and gains electrons.
(e)
Advantage: Methanol is a liquid at room temperature and pressure, which is much easier and safer to store, handle, and transport than gaseous hydrogen.
Disadvantage: DMFCs produce carbon dioxide (a greenhouse gas) during operation, whereas hydrogen fuel cells produce only water; OR DMFCs have lower efficiency due to fuel crossover through the proton exchange membrane.
(f)
Total charge transferred, \(Q = I \times t = 0.50\text{ A} \times (3.0 \times 3600\text{ s}) = 5400\text{ C}\)
Moles of electrons, \(n(\text{e}^-) = Q / F = 5400 / 96500 = 0.05596\text{ mol}\)
According to the anode half-equation, \(1\text{ mol}\) of \(\text{CH}_3\text{OH}\) releases \(6\text{ mol}\) of \(\text{e}^-\).
Moles of methanol required, \(n(\text{CH}_3\text{OH}) = 0.05596 / 6 = 0.009326\text{ mol}\)
Minimum mass of methanol = \(0.009326\text{ mol} \times 32.0\text{ g mol}^{-1} = 0.298\text{ g}\) (or \(0.30\text{ g}\))

Marking scheme

(a) Correct species (1); Correctly balanced in acidic medium (1)
(b) Correct species (1); Correctly balanced in acidic medium (1)
(c) Correctly balanced overall reaction (1)
(d) Flow: anode to cathode in the external circuit (1); Reason: Oxidation releases electrons at the anode, reduction consumes electrons at the cathode (1)
(e) Any one valid advantage (e.g. liquid state, easier storage/transport) (1); Any one valid disadvantage (e.g. CO2 greenhouse gas, lower efficiency, membrane crossover) (1)
(f) Correct calculation of charge Q and moles of electrons (1); Correct calculation of mass of methanol using 1:6 ratio (1)

Paper 2 (Elective Sections)

Attempt all questions in any TWO of the three elective sections (Industrial, Materials, Analytical). Each section carries 20 marks.
2 Question · 40 marks
Question 1 · Elective Structured Questions
20 marks
**Section A: Industrial Chemistry**

1. (a) The kinetics of the gas-phase reaction \(2A(g) + B(g) \rightarrow C(g)\) was studied at 298 K. The initial rates of reaction under different initial concentrations of reactants were measured and shown below:

| Experiment | \([A]_0\) (mol dm\(^{-3}\)) | \([B]_0\) (mol dm\(^{-3}\)) | Initial Rate (mol dm\(^{-3}\) s\(^{-1}\)) |
|---|---|---|---|
| 1 | 0.10 | 0.10 | \(1.2 \times 10^{-3}\) |
| 2 | 0.20 | 0.10 | \(4.8 \times 10^{-3}\) |
| 3 | 0.20 | 0.20 | \(9.6 \times 10^{-3}\) |

(i) Determine the rate equation for the reaction. Show your working. (3 marks)
(ii) Calculate the rate constant \(k\) at 298 K with appropriate units. (2 marks)
(iii) The rate constant for this reaction at 318 K is \(11.8 \text{ dm}^6\text{ mol}^{-2}\text{ s}^{-1}\). Calculate the activation energy \(E_a\) of the reaction. (Gas constant \(R = 8.31 \text{ J K}^{-1}\text{ mol}^{-1}\)) (4 marks)

(b) Dimethyl carbonate (DMC, \(\text{C}_3\text{H}_6\text{O}_3\)) is an environmentally friendly solvent. It can be synthesized via two different routes:

Route 1: \(2\text{CH}_3\text{OH} + \text{COCl}_2 \rightarrow \text{C}_3\text{H}_6\text{O}_3 + 2\text{HCl}\)
Route 2: \(2\text{CH}_3\text{OH} + \text{CO}_2 \rightarrow \text{C}_3\text{H}_6\text{O}_3 + \text{H}_2\text{O}\)

(i) Calculate the atom economy for the production of DMC using Route 1 and Route 2 respectively. (Relative atomic masses: H = 1.0, C = 12.0, O = 16.0, Cl = 35.5) (4 marks)
(ii) Discuss TWO advantages of Route 2 over Route 1 from the perspective of safety and environmental friendliness, other than atom economy. (3 marks)
(iii) The reaction in Route 2 is highly reversible and endothermic. It is carried out in the presence of a solid \(\text{CeO}_2\) catalyst.
(1) State the term used to describe this type of catalyst and explain why it is preferred over homogeneous catalysts in industrial separation. (2 marks)
(2) Suggest how Le Chatelier's principle can be applied to shift the position of equilibrium of Route 2 to increase the yield of DMC. (2 marks)

Answer

k = 1.2 dm^6 mol^-2 s^-1 at 298 K; Ea = 90.0 kJ mol^-1; Route 1 AE = 55.2%, Route 2 AE = 83.3%

Worked solution

(a) (i) Comparing Exp 1 and Exp 2: [B] is constant. When [A] is doubled, the initial rate increases by a factor of 4. Since \(2^2 = 4\), the order with respect to A is 2. Comparing Exp 2 and Exp 3: [A] is constant. When [B] is doubled, the initial rate increases by a factor of 2. Since \(2^1 = 2\), the order with respect to B is 1. Therefore, Rate = \(k[A]^2[B]\).
(ii) Using Exp 1: \(1.2 \times 10^{-3} = k (0.10)^2 (0.10) \Rightarrow k = 1.2 \text{ dm}^6\text{ mol}^{-2}\text{ s}^{-1}\).
(iii) Using Arrhenius equation: \(\ln(k_2/k_1) = \frac{E_a}{R} (1/T_1 - 1/T_2)\) \(\Rightarrow \ln(11.8/1.2) = \frac{E_a}{8.31} (1/298 - 1/318)\) \(\Rightarrow 2.2858 = \frac{E_a}{8.31} (2.11 \times 10^{-4}) \Rightarrow E_a = 90022 \text{ J mol}^{-1} \approx 90.0 \text{ kJ mol}^{-1}\).

(b) (i) Molar mass of DMC = \(90.0 \text{ g mol}^{-1}\). Route 1: Total mass of reactants = \(2 \times 32.0 + 99.0 = 163.0 \text{ g}\). AE = \((90.0 / 163.0) \times 100\% = 55.2\%\). Route 2: Total mass of reactants = \(2 \times 32.0 + 44.0 = 108.0 \text{ g}\). AE = \((90.0 / 108.0) \times 100\% = 83.3\%\).
(ii) Route 2 uses non-toxic, abundant \(\text{CO}_2\) instead of highly toxic phosgene (\(\text{COCl}_2\)). It produces harmless water (\(\text{H}_2\text{O}\)) as by-product instead of toxic and corrosive hydrogen chloride (\(\text{HCl}\)). It also helps reduce greenhouse gases by utilizing carbon dioxide.
(iii) (1) Heterogeneous catalyst. It can be easily separated from liquid products/reactants by filtration. (2) Continually remove water from the reaction mixture, or increase the reaction pressure/temperature to shift equilibrium forward.

Marking scheme

(a)(i) Deduce order of reaction with respect to A is 2 (1) and with respect to B is 1 (1). Deduce rate equation: Rate = \(k[A]^2[B]\) (1).
(a)(ii) Calculate \(k = 1.2\) (1). Correct unit: \(\text{dm}^6\text{ mol}^{-2}\text{ s}^{-1}\) (1).
(a)(iii) Correct Arrhenius equation substitution (1). Correct calculation of ratio and temperature terms (1). Correct calculation of \(E_a\) value (90.0) (1). Correct unit \(\text{kJ mol}^{-1}\) (1).
(b)(i) Correct AE calculation for Route 1: 55.2% (2) (1 mark for total reactant mass 163.0). Correct AE calculation for Route 2: 83.3% (2) (1 mark for total reactant mass 108.0).
(b)(ii) Give 1.5 marks for each of the TWO safety/environmental advantages (Max 3 marks). Must compare Route 1 vs Route 2.
(b)(iii)(1) State 'heterogeneous catalyst' (1). State ease of separation by filtration over distillation (1).
(b)(iii)(2) Suggest one valid action (e.g. removing water, increasing pressure, or increasing temperature) (1) with explanation using Le Chatelier's principle (1).
Question 2 · Elective Structured Questions
20 marks
**Section C: Analytical Chemistry**

2. (a) A student determined the percentage by mass of iron in a dietary supplement tablet using redox titration.

5.00 g of the iron tablets were crushed and dissolved in excess dilute sulfuric acid to form a 250.0 cm\(^3\) solution. A 25.00 cm\(^3\) portion of this solution was titrated against \(0.0200 \text{ mol dm}^{-3}\) acidified potassium permanganate (\(\text{KMnO}_4\)) solution. The average titre of \(\text{KMnO}_4\) was 22.50 cm\(^3\).

(i) Write the ionic equation for the redox reaction during the titration. (2 marks)
(ii) State the color change at the end point of the titration. (1 mark)
(iii) Calculate the percentage by mass of iron (as \(\text{Fe}^{2+}\)) in the tablet. (Relative atomic mass: Fe = 55.8) (4 marks)
(iv) Explain why hydrochloric acid cannot be used instead of sulfuric acid to acidify the potassium permanganate. (2 marks)

(b) An organic compound \(X\) with molecular formula \(\text{C}_4\text{H}_8\text{O}_2\) was analyzed.

(i) When \(X\) was added to sodium hydrogencarbonate solution, no effervescence was observed. Deduce what functional group is absent in \(X\). (1 mark)
(ii) The infrared (IR) spectrum of \(X\) shows a strong absorption peak at around 1735 cm\(^{-1}\), but lacks any broad absorption peak in the region of 3230–3670 cm\(^{-1}\). Identify the functional group present in \(X\). (2 marks)
(iii) The mass spectrum of \(X\) shows prominent peaks at \(m/z = 43\) and \(m/z = 59\). Propose TWO possible structures for \(X\), and identify the species responsible for the peaks at \(m/z = 43\) and \(m/z = 59\) respectively. (4 marks)
(iv) A student suggested using \(^1\text{H}\) NMR spectroscopy to distinguish between the two proposed structures in (b)(iii). State the number of signals, integration ratio, and splitting pattern for each signal in the \(^1\text{H}\) NMR spectrum for BOTH compounds. Explain how this information can distinguish them. (4 marks)

Answer

Fe% = 25.1%; X is either ethyl ethanoate or methyl propanoate, distinguishable by chemical shift of quartet/singlet in 1H NMR.

Worked solution

(a) (i) \(\text{MnO}_4^-(aq) + 5\text{Fe}^{2+}(aq) + 8\text{H}^+(aq) \rightarrow \text{Mn}^{2+}(aq) + 5\text{Fe}^{3+}(aq) + 4\text{H}_2\text{O}(l)\).
(ii) From colorless to pale pink.
(iii) Moles of \(\text{MnO}_4^-\text{ used} = 0.0200 \times (22.50/1000) = 4.50 \times 10^{-4} \text{ mol}\).
From the equation, moles of \(\text{Fe}^{2+}\) in 25.00 cm\(^3\) = \(5 \times 4.50 \times 10^{-4} = 2.25 \times 10^{-3} \text{ mol}\).
Moles of \(\text{Fe}^{2+}\) in 250.0 cm\(^3\) = \(2.25 \times 10^{-3} \times (250.0 / 25.00) = 2.25 \times 10^{-2} \text{ mol}\).
Mass of Fe = \(2.25 \times 10^{-2} \times 55.8 = 1.256 \text{ g}\).
Percentage by mass of iron = \((1.256 / 5.00) \times 100\% = 25.1\%\).
(iv) Hydrochloric acid contains chloride (\(\text{Cl}^-\)) ions, which can be oxidized by \(\text{MnO}_4^-\). This would consume extra \(\text{MnO}_4^-\), leading to an overestimation of the iron content.

(b) (i) Carboxylic acid group (\(-\text{COOH}\)) is absent.
(ii) The strong absorption at 1735 cm\(^{-1}\) indicates a carbonyl group (\(\text{C}=\text{O}\)). Lacking 3230-3670 cm\(^{-1}\) indicates the absence of an \(-\text{O}-\text{H}\) group. Therefore, the functional group is an ester group (\(-\text{COO}-\)).
(iii) Two possible structures: Ethyl ethanoate (\(\text{CH}_3\text{COOCH}_2\text{CH}_3\)) and Methyl propanoate (\(\text{CH}_3\text{CH}_2\text{COOCH}_3\)).
Species for \(m/z = 43\): \([\text{CH}_3\text{CO}]^+\).
Species for \(m/z = 59\): \([\text{CH}_3\text{COO}]^+\) or \([\text{COOCH}_3]^+\).
(iv) Both show 3 signals with integration ratio 3:2:3 and splitting patterns: a singlet (3H), a quartet (2H), and a triplet (3H).
For ethyl ethanoate: the singlet (\(\text{CH}_3\text{CO}-\)) is at \(\delta \approx 2.0 \text{ ppm}\), and the quartet (\(-\text{OCH}_2-\)) is highly deshielded at \(\delta \approx 4.1 \text{ ppm}\).
For methyl propanoate: the singlet (\(-\text{OCH}_3\)) is highly deshielded at \(\delta \approx 3.7 \text{ ppm}\), and the quartet (\(-\text{CH}_2\text{CO}-\)) is at \(\delta \approx 2.3 \text{ ppm}\). This chemical shift difference clearly distinguishes them.

Marking scheme

(a)(i) Complete balance of elements (1) and charge balance (1). State symbols not strictly required but must be correct if written.
(a)(ii) State 'colorless to pale pink' / 'colorless to pale purple' (1). Reject: purple, dark pink.
(a)(iii) Correct calculation of moles of \(\text{MnO}_4^-\) (1). Correct mole ratio calculation to find moles of Fe in 250 cm\(^3\) (1). Calculate mass of Fe (1.256 g) (1). Correct percentage by mass 25.1% (1).
(a)(iv) State that \(\text{Cl}^-\)\n ions are oxidized to \(\text{Cl}_2\) (1). Explain that this consumes extra titrant, leading to overestimation of iron content (1).
(b)(i) Deduce carboxylic acid (\(-\text{COOH}\)) is absent (1).
(b)(ii) Correct linkage of 1735 cm\(^{-1}\) to \(\text{C}=\text{O}\) (1) and lack of 3230-3670 cm\(^{-1}\) to lack of \(\text{O}-\text{H}\) (1). Deduce functional group is ester (1).
(b)(iii) Propose two correct ester structures (1, 1). Identify both fragment ions (with positive charges!) (1, 1).
(b)(iv) State that both show 3 signals with integration 3:2:3 (singlet, quartet, triplet) (1). Explain the key difference: for ethyl ethanoate, the quartet is at \(\delta \approx 4.1 \text{ ppm}\) and the singlet is at \(\delta \approx 2.0 \text{ ppm}\) (1). For methyl propanoate, the singlet is at \(\delta \approx 3.7 \text{ ppm}\) and the quartet is at \(\delta \approx 2.3 \text{ ppm}\) (1). (1 mark for chemical shift/deshielding reasoning based on electronegative oxygen atom).