Question 1 · Multiple Choice
1 marksWhich of the following species has a molecular shape that is NOT planar?
- A.\( \text{BF}_3 \)
- B.\( \text{H}_3\text{O}^+ \)
- C.\( \text{C}_2\text{H}_4 \)
- D.\( \text{CO}_3^{2-} \)
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 marksConsider 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.
- A.(1) only
- B.(2) only
- C.(1) and (3) only
- D.(2) and (3) only
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 marksIn which of the following compounds does chlorine have the highest oxidation number?
- A.\( \text{NaClO} \)
- B.\( \text{ClO}_2 \)
- C.\( \text{KClO}_3 \)
- D.\( \text{Cl}_2\text{O}_7 \)
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 marksWhat is the IUPAC name of the compound \( \text{CH}_3\text{CH(Cl)CH}_2\text{CH(CH}_3\text{)}_2 \)?
- A.2-chloro-4-methylpentane
- B.4-chloro-2-methylpentane
- C.2-chloro-2-isopropylpropane
- D.1,1-dimethyl-3-chlorobutane
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 marksSome 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?
- A.X < Y < Z
- B.Y < X < Z
- C.Z < Y < X
- D.X < Z < Y
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 marksAt 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?
\( \text{SO}_3(\text{g}) \rightleftharpoons \text{SO}_2(\text{g}) + \frac{1}{2}\text{O}_2(\text{g}) \)
- A.\( 2.5 \times 10^{-3} \text{ mol}^{1/2}\text{dm}^{-3/2} \)
- B.\( 5.0 \times 10^{-2} \text{ mol}^{1/2}\text{dm}^{-3/2} \)
- C.\( 2.0 \times 10^{-2} \text{ mol}^{1/2}\text{dm}^{-3/2} \)
- D.\( 2.0 \times 10^1 \text{ mol}^{1/2}\text{dm}^{-3/2} \)
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 marksWhich 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.
- A.(1) only
- B.(2) only
- C.(1) and (3) only
- D.(2) and (3) only
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 marksConsider 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 \( \text{CO(g)} \)?
- A.\( -676.5 \text{ kJ mol}^{-1} \)
- B.\( -110.5 \text{ kJ mol}^{-1} \)
- C.\( +110.5 \text{ kJ mol}^{-1} \)
- D.\( +676.5 \text{ kJ mol}^{-1} \)
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 marksWhich of the following statements concerning the elements in the second period of the Periodic Table (from Li to Ne) is correct?
- A.The atomic radius increases across the period.
- B.The electronegativity of the elements decreases across the period.
- C.The first ionization energy generally increases across the period.
- D.All elements in the second period can form stable oxides.
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 marksHow many structural isomers (excluding stereoisomers) are there for the compound with molecular formula \( \text{C}_4\text{H}_9\text{Br} \)?
- A.2
- B.3
- C.4
- D.5
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 marksWhich of the following species has/have a trigonal pyramidal shape?
(1) \(\text{H}_3\text{O}^+\)
(2) \(\text{BF}_3\)
(3) \(\text{NH}_3\)
- A.(1) only
- B.(2) only
- C.(1) and (3) only
- D.(2) and (3) only
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 marksMetal \(X\) 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?
- A.\(Y > X > Z\)
- B.\(Y > Z > X\)
- C.\(X > Y > Z\)
- D.\(Z > X > Y\)
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 marksConsider 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 \(298\text{ K}\)?
- A.\(-1540.7\text{ kJ mol}^{-1}\)
- B.\(-103.7\text{ kJ mol}^{-1}\)
- C.\(+103.7\text{ kJ mol}^{-1}\)
- D.\(+1540.7\text{ kJ mol}^{-1}\)
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 marksIn which of the following reactions does nitrogen undergo both oxidation and reduction (disproportionation)?
- A.\(\text{NH}_4\text{NO}_3(s) \rightarrow \text{N}_2\text{O}(g) + 2\text{H}_2\text{O}(l)\)
- B.\(3\text{NO}_2(g) + \text{H}_2\text{O}(l) \rightarrow 2\text{HNO}_3(aq) + \text{NO}(g)\)
- C.\(2\text{NO}(g) + \text{O}_2(g) \rightarrow 2\text{NO}_2(g)\)
- D.\(\text{N}_2(g) + 3\text{H}_2(g) \rightarrow 2\text{NH}_3(g)\)
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 marksConsider 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?
- A.Increasing the pressure of the system by reducing the volume.
- B.Adding a catalyst to the mixture.
- C.Increasing the temperature of the system.
- D.Adding more \(\text{PCl}_5(g)\) at constant volume.
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 marksAn 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 \(X\)?
- A.Ethyl ethanoate
- B.Butanoic acid
- C.Methyl propanoate
- D.Ethyl methanoate
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?
- A.\(0.0625\text{ mol dm}^{-3}\)
- B.\(0.125\text{ mol dm}^{-3}\)
- C.\(0.250\text{ mol dm}^{-3}\)
- D.\(0.500\text{ mol dm}^{-3}\)
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 marksAt \(298\text{ K}\), which of the following aqueous solutions has the lowest pH value?
- A.\(0.1\text{ mol dm}^{-3}\ \text{HNO}_3(aq)\)
- B.\(0.1\text{ mol dm}^{-3}\ \text{H}_2\text{SO}_4(aq)\)
- C.\(0.1\text{ mol dm}^{-3}\ \text{CH}_3\text{COOH}(aq)\)
- D.\(0.1\text{ mol dm}^{-3}\ \text{HCl}(aq)\)
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 marksWhich 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.
- A.(1) and (2) only
- B.(1) and (3) only
- C.(2) and (3) only
- D.(1), (2) and (3)
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 marksWhich of the following compounds can exhibit enantiomerism (optical isomerism)?
- A.2-Chlorobutane
- B.1-Chlorobutane
- C.2-Chloropropane
- D.2-Methylpropane
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 marksWhich of the following molecules has/have a net dipole moment of zero?
(1) \( \text{SF}_4 \)
(2) \( \text{BF}_3 \)
(3) \( \text{trans-1,2-dichloroethene} \)
- A.(1) only
- B.(2) only
- C.(1) and (3) only
- D.(2) and (3) only
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 marksConsider 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?
- A.X > W > Y > Z
- B.X > Y > W > Z
- C.W > X > Y > Z
- D.Y > X > W > Z
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 marksWhen 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?
- A.-1 and +1
- B.-1 and +3
- C.-1 and +5
- D.-3 and +5
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 marksConsider \( 100\text{ cm}^3 \) 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.
- A.(1) and (2) only
- B.(1) and (3) only
- C.(2) and (3) only
- D.(1), (2) and (3)
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 marksA \( 1.25\text{ g} \) 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 \( \text{CaCO}_3 = 100.1\text{ g mol}^{-1} \))
- A.44.3%
- B.55.4%
- C.88.7%
- D.95.2%
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 marksConsider 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?
- A.Step 1: \( \text{Br}_2(\text{aq}) \); Step 2: \( \text{NaOH(aq)} \); Step 3: \( \text{NaBH}_4 \)
- B.Step 1: \( \text{HBr(g)} \); Step 2: \( \text{NaOH(aq)} \); Step 3: acidified \( \text{K}_2\text{Cr}_2\text{O}_7(\text{aq}) \)
- C.Step 1: \( \text{HBr(g)} \); Step 2: \( \text{NaOH(ethanol)} \); Step 3: acidified \( \text{K}_2\text{Cr}_2\text{O}_7(\text{aq}) \)
- D.Step 1: \( \text{Br}_2\text{/CH}_2\text{Cl}_2 \); Step 2: \( \text{H}_2\text{O(l)} \); Step 3: \( \text{LiAlH}_4 \)
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 marksHow many structural isomers (including cyclic compounds) have the molecular formula \( \text{C}_4\text{H}_8 \)?
- A.3
- B.4
- C.5
- D.6
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 marksGiven 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 (\( \text{C}_2\text{H}_2(\text{g}) \))?
- A.\( -226.8\text{ kJ mol}^{-1} \)
- B.\( +226.8\text{ kJ mol}^{-1} \)
- C.\( -620.3\text{ kJ mol}^{-1} \)
- D.\( +620.3\text{ kJ mol}^{-1} \)
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 marksIn 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?
- A.\( 0.45\text{ mol dm}^{-3} \)
- B.\( 0.90\text{ mol dm}^{-3} \)
- C.\( 1.80\text{ mol dm}^{-3} \)
- D.\( 0.225\text{ mol dm}^{-3} \)
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 marksWhich 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.
- A.(1) only
- B.(2) only
- C.(1) and (2) only
- D.(2) and (3) only
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 marksConsider 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?
- A.I only
- B.II only
- C.I and III only
- D.II and III only
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 marksWhich of the following species has a trigonal pyramidal shape?
- A.\(\text{BF}_3\)
- B.\(\text{H}_3\text{O}^+\)
- C.\(\text{NH}_4^+\)
- D.\(\text{CO}_3^{2-}\)
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 marksConsider 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 (\(K_c\))?
- A.Increasing the temperature of the container
- B.Decreasing the temperature of the container
- C.Adding a catalyst to the mixture
- D.Decreasing the volume of the container
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 marksAn 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 \(X\)?
- A.\(\text{CH}_3\text{CH}_2\text{COOCH}_3\)
- B.\(\text{CH}_3\text{COOCH}_2\text{CH}_3\)
- C.\(\text{HCOOCH}_2\text{CH}_2\text{CH}_3\)
- D.\(\text{CH}_3\text{CH}_2\text{CH}_2\text{COOH}\)
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 marksConsider 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 (\(\text{CH}_3\text{COOH(l)}\))?
- A.\(\Delta H_2 + \Delta H_3 - \Delta H_1\)
- B.\(2\Delta H_2 + 2\Delta H_3 - \Delta H_1\)
- C.\(\Delta H_1 - 2\Delta H_2 - 2\Delta H_3\)
- D.\(2\Delta H_2 + 2\Delta H_3 + \Delta H_1\)
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 marksA 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: \(\text{Li} = 6.9\), \(\text{Na} = 23.0\), \(\text{K} = 39.1\), \(\text{Rb} = 85.5\), \(\text{C} = 12.0\), \(\text{O} = 16.0\))
- A.Lithium
- B.Sodium
- C.Potassium
- D.Rubidium
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.