HKDSE · Answers & Marking Scheme

2021 HKDSE Chemistry Answers & Marking Scheme

Thinka 2021 DSE-Style Mock — Chemistry

160 marks210 mins2021
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 1 Section A

Answer ALL questions. All questions carry equal marks. Choose the best answer for each question.
36 Question · 36 marks
Question 1 · MC
1 marks
Which of the following processes does NOT involve oxidation or reduction?
  1. A.Reaction of chlorine with cold sodium hydroxide solution.
  2. B.Action of concentrated sulfuric acid on sodium chloride.
  3. C.Thermal decomposition of copper(II) nitrate.
  4. D.Action of hot concentrated nitric acid on carbon.

Answer

B

Worked solution

In option B, the reaction is NaCl(s) + H2SO4(l) -> NaHSO4(s) + HCl(g). The oxidation states of all elements remain unchanged: Na is +1, Cl is -1, H is +1, S is +6, and O is -2. Thus, it is a non-redox reaction. In A, chlorine undergoes disproportionation. In C, copper(II) nitrate decomposes to copper(II) oxide, nitrogen dioxide, and oxygen, where nitrogen is reduced and oxygen is oxidized. In D, carbon is oxidized to CO2 while nitric acid is reduced to NO2.

Marking scheme

1 mark for the correct answer (B). 0 marks for incorrect options.
Question 2 · MC
1 marks
Given the following standard enthalpy changes of combustion (\(\Delta H_c^\theta\)): Carbon, \(\text{C(s, graphite)} = -393.5\text{ kJ mol}^{-1}\); Hydrogen, \(\text{H}_2\text{(g)} = -285.8\text{ kJ mol}^{-1}\); Ethanol, \(\text{C}_2\text{H}_5\text{OH(l)} = -1367.3\text{ kJ mol}^{-1}\). What is the standard enthalpy change of formation of ethanol (\(\text{C}_2\text{H}_5\text{OH(l)}\))?
  1. A.\(-277.1\text{ kJ mol}^{-1}\)
  2. B.\(+277.1\text{ kJ mol}^{-1}\)
  3. C.\(-688.0\text{ kJ mol}^{-1}\)
  4. D.\(+688.0\text{ kJ mol}^{-1}\)

Answer

A

Worked solution

According to Hess's Law, the enthalpy change of formation of ethanol is given by: \(\Delta H_f^\theta[\text{C}_2\text{H}_5\text{OH(l)}] = 2 \times \Delta H_c^\theta[\text{C(s)}] + 3 \times \Delta H_c^\theta[\text{H}_2\text{(g)}] - \Delta H_c^\theta[\text{C}_2\text{H}_5\text{OH(l)}]\). Substituting the values: \(\Delta H_f^\theta = 2(-393.5) + 3(-285.8) - (-1367.3) = -787.0 - 857.4 + 1367.3 = -277.1\text{ kJ mol}^{-1}\).

Marking scheme

1 mark for the correct answer (A). 0 marks for incorrect options.
Question 3 · MC
1 marks
Which of the following combinations of reagents and conditions is most suitable for converting propan-1-ol to propan-2-ol?
  1. A.Step 1: Heat with excess concentrated \(\text{H}_2\text{SO}_4\) at \(170\ ^\circ\text{C}\); Step 2: Heat with \(\text{H}_2\text{O}\) in the presence of \(\text{H}^+\)
  2. B.Step 1: Reflux with acidified \(\text{K}_2\text{Cr}_2\text{O}_7\text{(aq)}\); Step 2: React with \(\text{NaBH}_4\)
  3. C.Step 1: Reflux with concentrated \(\text{HCl}\text{(aq)}\) in the presence of anhydrous \(\text{ZnCl}_2\); Step 2: Heat with \(\text{NaOH}\text{(aq)}\)
  4. D.Step 1: React with \(\text{PBr}_3\); Step 2: Heat with \(\text{KOH(aq)}\)

Answer

A

Worked solution

Step 1: Heating propan-1-ol with excess concentrated sulfuric acid at \(170\ ^\circ\text{C}\) dehydrates it to form propene. Step 2: Acid-catalyzed hydration of propene (\(\text{H}_2\text{O}/\text{H}^+\)) yields propan-2-ol as the major product because the hydroxyl group adds to the secondary carbon according to Markovnikov's rule.

Marking scheme

1 mark for the correct answer (A). 0 marks for incorrect options.
Question 4 · MC
1 marks
Three metals, \(X\), \(Y\), and \(Z\), have the following properties: (1) Oxide of \(X\) can be reduced by heating with carbon, but oxide of \(Y\) cannot. (2) When a piece of metal \(X\) is placed in an aqueous solution of nitrate of \(Z\), a grey deposit is formed on the surface of \(X\). (3) Metal \(Y\) reacts with cold water to liberate hydrogen gas, while metal \(X\) does not. Which of the following arrangements shows the order of reactivity of these metals (from the most reactive to the least reactive)?
  1. A.\(Y > X > Z\)
  2. B.\(Y > Z > X\)
  3. C.\(X > Y > Z\)
  4. D.\(Z > Y > X\)

Answer

A

Worked solution

From clue 1, \(Y\) is more reactive than \(X\) because its oxide cannot be reduced by carbon, whereas \(X\)'s oxide can. From clue 2, \(X\) is more reactive than \(Z\) because \(X\) can displace \(Z\) from its nitrate solution. From clue 3, \(Y\) is highly reactive as it reacts with cold water. Therefore, the order of reactivity is \(Y > X > Z\).

Marking scheme

1 mark for the correct answer (A). 0 marks for incorrect options.
Question 5 · MC
1 marks
A reaction has a rate constant \(k_1 = 2.0 \times 10^{-3}\text{ s}^{-1}\) at \(300\text{ K}\), and \(k_2 = 8.0 \times 10^{-3}\text{ s}^{-1}\) at \(320\text{ K}\). What is the activation energy (\(E_a\)) of this reaction? (Given: Gas constant \(R = 8.31\text{ J mol}^{-1}\text{ K}^{-1}\))
  1. A.\(55.3\text{ kJ mol}^{-1}\)
  2. B.\(110.6\text{ kJ mol}^{-1}\)
  3. C.\(23.0\text{ kJ mol}^{-1}\)
  4. D.\(5.53\text{ kJ mol}^{-1}\)

Answer

A

Worked solution

Using the Arrhenius equation: \(\ln\left(\frac{k_2}{k_1}\right) = \frac{E_a}{R}\left(\frac{1}{T_1} - \frac{1}{T_2}\right)\). Substituting the given values: \(\ln\left(\frac{8.0 \times 10^{-3}}{2.0 \times 10^{-3}}\right) = \frac{E_a}{8.31}\left(\frac{1}{300} - \frac{1}{320}\right)\) => \(\ln(4) = \frac{E_a}{8.31} \times \frac{20}{96000}\) => \(1.3863 = \frac{E_a}{8.31} \times \frac{1}{4800}\) => \(E_a = 1.3863 \times 8.31 \times 4800 = 55298\text{ J mol}^{-1} \approx 55.3\text{ kJ mol}^{-1}\).

Marking scheme

1 mark for the correct answer (A). 0 marks for incorrect options.
Question 6 · MC
1 marks
Consider an alkaline hydrogen-oxygen fuel cell. Which of the following statements is/are correct? (1) The reaction at the anode is \(\text{O}_2\text{(g)} + 2\text{H}_2\text{O(l)} + 4e^- \rightarrow 4\text{OH}^-\text{(aq)}\). (2) Potassium hydroxide solution is commonly used as the electrolyte. (3) The overall cell reaction produces water as the only product.
  1. A.(1) only
  2. B.(2) only
  3. C.(1) and (3) only
  4. D.(2) and (3) only

Answer

D

Worked solution

Statement (1) is incorrect because the given reduction half-equation occurs at the cathode, not the anode. The anode reaction is the oxidation of hydrogen: \(\text{H}_2\text{(g)} + 2\text{OH}^-\text{(aq)} \rightarrow 2\text{H}_2\text{O(l)} + 2e^-\). Statements (2) and (3) are correct: KOH(aq) is the standard electrolyte in alkaline fuel cells, and the only product of the overall cell reaction is water.

Marking scheme

1 mark for the correct answer (D). 0 marks for incorrect options.
Question 7 · MC
1 marks
A \(1.50\text{ g}\) sample of impure limestone (mainly containing \(\text{CaCO}_3\)) was reacted with \(50.0\text{ cm}^3\) of \(0.500\text{ M HCl(aq)}\). After the reaction was complete, the excess acid required \(15.0\text{ cm}^3\) of \(0.200\text{ M NaOH(aq)}\) for complete neutralization. What is the percentage by mass of \(\text{CaCO}_3\) in the sample? (Molar mass of \(\text{CaCO}_3 = 100.1\text{ g mol}^{-1}\))
  1. A.73.4%
  2. B.83.4%
  3. C.36.7%
  4. D.93.4%

Answer

A

Worked solution

Total initial moles of \(\text{HCl} = 0.0500\text{ dm}^3 \times 0.500\text{ mol dm}^{-3} = 0.0250\text{ mol}\). Moles of \(\text{HCl}\) neutralized by \(\text{NaOH} = 0.0150\text{ dm}^3 \times 0.200\text{ mol dm}^{-3} = 0.00300\text{ mol}\). Moles of \(\text{HCl}\) reacted with \(\text{CaCO}_3 = 0.0250 - 0.00300 = 0.0220\text{ mol}\). Since 1 mole of \(\text{CaCO}_3\) reacts with 2 moles of \(\text{HCl}\), moles of \(\text{CaCO}_3 = 0.0220 / 2 = 0.0110\text{ mol}\). Mass of \(\text{CaCO}_3 = 0.0110\text{ mol} \times 100.1\text{ g mol}^{-1} = 1.1011\text{ g}\). Percentage by mass = \((1.1011\text{ g} / 1.50\text{ g}) \times 100\% \approx 73.4\%\).

Marking scheme

1 mark for the correct answer (A). 0 marks for incorrect options.
Question 8 · MC
1 marks
Which of the following pairs of compounds cannot be distinguished by identifying characteristic functional group absorptions in infrared (IR) spectroscopy alone?
  1. A.Ethanol and ethanoic acid
  2. B.Propan-1-ol and propanal
  3. C.Ethanoic acid and ethyl ethanoate
  4. D.Methyl propanoate and ethyl ethanoate

Answer

D

Worked solution

Both methyl propanoate and ethyl ethanoate are isomeric esters. They contain exactly the same types of bonds: C=O, C-O, and C-H, resulting in identical major functional group absorption peaks in their IR spectra. Thus, they cannot be distinguished by identifying characteristic functional group absorptions alone. The other pairs have different functional groups and can be easily distinguished by identifying the presence or absence of specific peaks (e.g., O-H vs C=O).

Marking scheme

1 mark for the correct answer (D). 0 marks for incorrect options.
Question 9 · MC
1 marks
Which of the following groups of species all have a trigonal planar shape?
  1. A.\(\text{BF}_3\), \(\text{CO}_3^{2-}\), \(\text{NO}_3^-\)
  2. B.\(\text{NH}_3\), \(\text{PCl}_3\), \(\text{H}_3\text{O}^+\)
  3. C.\(\text{CH}_4\), \(\text{SiF}_4\), \(\text{NH}_4^+\)
  4. D.\(\text{O}_3\), \(\text{SO}_2\), \(\text{NO}_2^-\)

Answer

A

Worked solution

\(\text{BF}_3\) has 3 bonding pairs and 0 lone pairs on B, which is trigonal planar. \(\text{CO}_3^{2-}\) and \(\text{NO}_3^-\) both have 3 bonding regions and 0 lone pairs on the central carbon and nitrogen atoms respectively, which also gives them a trigonal planar shape. In B, the species are trigonal pyramidal. In C, they are tetrahedral. In D, they are bent.

Marking scheme

1 mark for the correct answer (A). 0 marks for incorrect options.
Question 10 · MC
1 marks
Maleic anhydride (\(\text{C}_4\text{H}_2\text{O}_3\)) can be produced by the catalytic oxidation of butene as shown in the equation below: \(\text{C}_4\text{H}_8 + 3\text{O}_2 \rightarrow \text{C}_4\text{H}_2\text{O}_3 + 3\text{H}_2\text{O}\). What is the atom economy of this reaction for the production of maleic anhydride? (Relative atomic masses: \(\text{H} = 1.0\), \(\text{C} = 12.0\), \(\text{O} = 16.0\))
  1. A.64.5%
  2. B.44.1%
  3. C.84.5%
  4. D.35.5%

Answer

A

Worked solution

Atom economy = (molar mass of desired product / sum of molar masses of all products) x 100%. Desired product is maleic anhydride (\(\text{C}_4\text{H}_2\text{O}_3\)), molar mass = \(4 \times 12.0 + 2 \times 1.0 + 3 \times 16.0 = 98.0\text{ g mol}^{-1}\). Byproducts are 3 moles of \(\text{H}_2\text{O}\), mass = \(3 \times 18.0 = 54.0\text{ g}\). Sum of molar masses of all products = \(98.0 + 54.0 = 152.0\text{ g}\). Atom economy = \((98.0 / 152.0) \times 100\% = 64.5\%\).

Marking scheme

1 mark for the correct answer (A). 0 marks for incorrect options.
Question 11 · MC
1 marks
Consider the following thermochemical equations:
1) \( \text{C(graphite)} + \text{O}_2\text{(g)} \rightarrow \text{CO}_2\text{(g)} \quad \Delta H_1 = -393.5 \text{ kJ mol}^{-1} \)
2) \( \text{H}_2\text{(g)} + \frac{1}{2}\text{O}_2\text{(g)} \rightarrow \text{H}_2\text{O(l)} \quad \Delta H_2 = -285.8 \text{ kJ mol}^{-1} \)
3) \( 2\text{C(graphite)} + 3\text{H}_2\text{(g)} + \frac{1}{2}\text{O}_2\text{(g)} \rightarrow \text{C}_2\text{H}_5\text{OH(l)} \quad \Delta H_3 = -277.6 \text{ kJ mol}^{-1} \)

What is the standard enthalpy change of combustion of liquid ethanol (\( \text{C}_2\text{H}_5\text{OH(l)} \))?
  1. A.\( -1366.8 \text{ kJ mol}^{-1} \)
  2. B.\( -956.8 \text{ kJ mol}^{-1} \)
  3. C.\( -401.7 \text{ kJ mol}^{-1} \)
  4. D.\( -1921.8 \text{ kJ mol}^{-1} \)

Answer

A

Worked solution

According to Hess's Law, the equation for the combustion of liquid ethanol is:
\( \text{C}_2\text{H}_5\text{OH(l)} + 3\text{O}_2\text{(g)} \rightarrow 2\text{CO}_2\text{(g)} + 3\text{H}_2\text{O(l)} \)
Using the standard enthalpy of formation (\( \Delta H_f^{\theta} \)) of the substances:
\( \Delta H_c^{\theta} = 2 \Delta H_1 + 3 \Delta H_2 - \Delta H_3 \)
\( \Delta H_c^{\theta} = 2(-393.5) + 3(-285.8) - (-277.6) = -1366.8 \text{ kJ mol}^{-1} \).

Marking scheme

Award 1 mark for the correct option A. Method involves applying Hess's Law: \( 2 \times \Delta H_1 + 3 \times \Delta H_2 - \Delta H_3 \).
Question 12 · MC
1 marks
Which of the following processes involves an oxidation in which the oxidation number of sulfur increases by exactly 4?
  1. A.Burning sulfur in excess oxygen to form sulfur dioxide.
  2. B.Reaction of hydrogen sulfide with sulfur dioxide to form sulfur.
  3. C.Reaction of sulfur dioxide with acidified potassium dichromate(VI) solution.
  4. D.Reaction of copper with concentrated sulfuric acid to produce sulfur dioxide.

Answer

A

Worked solution

In option A, elemental sulfur (oxidation number = 0) is oxidized to sulfur dioxide (\( \text{SO}_2 \), oxidation number of S = +4). The increase is indeed 4. In C, sulfur dioxide (+4) is oxidized to sulfate (+6), change is +2. In D, sulfuric acid (+6) is reduced to sulfur dioxide (+4), change is -2.

Marking scheme

Award 1 mark for selecting A. Check the initial and final oxidation states of S in each option.
Question 13 · MC
1 marks
What is the systematic IUPAC name of the compound below?
\( \text{CH}_3\text{CH(CH}_3\text{)C(CH}_3\text{)=CHCH}_3 \)
  1. A.2,3-dimethylpent-3-ene
  2. B.3,4-dimethylpent-2-ene
  3. C.2,3-dimethylpent-2-ene
  4. D.1,2,3-trimethylbut-2-ene

Answer

B

Worked solution

1. Longest carbon chain containing the double bond is 5 carbons (pentene).
2. Numbering from right to left gives the double bond the lowest locant: C2 (pent-2-ene).
3. Substituents are methyl groups at carbon-3 and carbon-4. Thus, the name is 3,4-dimethylpent-2-ene.

Marking scheme

Award 1 mark for B. Locant for double bond has priority over substituents for lower numbers.
Question 14 · MC
1 marks
An organic compound \( X \) has the molecular formula \( \text{C}_4\text{H}_8\text{O} \). It does not react with acidified potassium dichromate(VI) solution upon warming, nor does it react with sodium metal. Which of the following is the correct structure of \( X \)?
  1. A.\( \text{CH}_3\text{CH}_2\text{CH}_2\text{CHO} \)
  2. B.\( \text{CH}_3\text{CH(OH)CH=CH}_2 \)
  3. C.\( \text{CH}_3\text{COCH}_2\text{CH}_3 \)
  4. D.\( \text{CH}_2\text{=CHCH}_2\text{CH}_2\text{OH} \)

Answer

C

Worked solution

1. Aldehydes (option A) are oxidized by acidified \( \text{K}_2\text{Cr}_2\text{O}_7 \).
2. Alcohols (options B and D) react with sodium metal to release hydrogen gas and can be oxidized.
3. Ketones (option C, butanone) have molecular formula \( \text{C}_4\text{H}_8\text{O} \), are resistant to mild oxidation, and do not react with sodium metal.

Marking scheme

Award 1 mark for C. Students need to deduce functional groups based on the chemical tests.
Question 15 · MC
1 marks
The rate constant \( k \) of a certain reaction was measured at different temperatures. A plot of \( \ln k \) against \( \frac{1}{T} \) (where \( T \) is temperature in Kelvin) yielded a straight line with a slope of \( -1.20 \times 10^4 \text{ K} \). What is the activation energy (\( E_a \)) of this reaction?
(Given: Gas constant \( R = 8.31 \text{ J mol}^{-1}\text{ K}^{-1} \))
  1. A.\( 1.44 \text{ kJ mol}^{-1} \)
  2. B.\( 14.4 \text{ kJ mol}^{-1} \)
  3. C.\( 99.7 \text{ kJ mol}^{-1} \)
  4. D.\( 997 \text{ kJ mol}^{-1} \)

Answer

C

Worked solution

According to the Arrhenius equation, \( \ln k = -\frac{E_a}{R} (\frac{1}{T}) + \ln A \). The slope \( m = -\frac{E_a}{R} \). Thus, \( -1.20 \times 10^4 = -\frac{E_a}{8.31} \) which gives \( E_a = 99720 \text{ J mol}^{-1} \approx 99.7 \text{ kJ mol}^{-1} \).

Marking scheme

Award 1 mark for C. Proper unit conversion (J to kJ) is required.
Question 16 · MC
1 marks
Maleic anhydride (\( \text{C}_4\text{H}_2\text{O}_3 \)) can be synthesized via two different routes:
Route 1: \( 2\text{C}_6\text{H}_6 + 9\text{O}_2 \rightarrow 2\text{C}_4\text{H}_2\text{O}_3 + 4\text{CO}_2 + 4\text{H}_2\text{O} \)
Route 2: \( \text{C}_4\text{H}_8 + 3\text{O}_2 \rightarrow \text{C}_4\text{H}_2\text{O}_3 + 3\text{H}_2\text{O} \)

Which route is greener according to the principle of atom economy?
(Relative atomic masses: \( \text{H} = 1.0 \), \( \text{C} = 12.0 \), \( \text{O} = 16.0 \))
  1. A.Route 1 is greener because its atom economy is 64.5%, compared to 44.1% for Route 2.
  2. B.Route 2 is greener because its atom economy is 64.5%, compared to 44.1% for Route 1.
  3. C.Route 1 is greener because its atom economy is 55.9%, compared to 35.5% for Route 2.
  4. D.Route 2 is greener because its atom economy is 82.1%, compared to 17.9% for Route 1.

Answer

B

Worked solution

Formula mass of \( \text{C}_4\text{H}_2\text{O}_3 = 98.0 \).
For Route 1: Desired product mass = \( 2 \times 98.0 = 196.0 \). Total mass of products = \( 2(98.0) + 4(44.0) + 4(18.0) = 444.0 \). Atom economy = \( \frac{196.0}{444.0} \times 100\% = 44.1\% \).
For Route 2: Desired product mass = \( 98.0 \). Total mass of products = \( 98.0 + 3(18.0) = 152.0 \). Atom economy = \( \frac{98.0}{152.0} \times 100\% = 64.5\% \).
Route 2 is greener due to its higher atom economy (64.5%).

Marking scheme

Award 1 mark for correct selection B with correct calculations.
Question 17 · MC
1 marks
A \( 25.00 \text{ cm}^3 \) sample of commercial bleach containing sodium hypochlorite (\( \text{NaOCl} \)) was diluted to \( 250.0 \text{ cm}^3 \). A \( 25.00 \text{ cm}^3 \) portion of this diluted solution was acidified and reacted with excess KI(aq). The liberated iodine required \( 22.40 \text{ cm}^3 \) of \( 0.100 \text{ mol dm}^{-3} \) \( \text{Na}_2\text{S}_2\text{O}_3\text{(aq)} \) for complete titration.

What is the concentration of \( \text{NaOCl} \) in the original commercial bleach?
(Equations:
\( \text{OCl}^- + 2\text{I}^- + 2\text{H}^+ \rightarrow \text{Cl}^- + \text{I}_2 + \text{H}_2\text{O} \)
\( \text{I}_2 + 2\text{S}_2\text{O}_3^{2-} \rightarrow 2\text{I}^- + \text{S}_4\text{O}_6^{2-} \))
  1. A.\( 0.0448 \text{ mol dm}^{-3} \)
  2. B.\( 0.224 \text{ mol dm}^{-3} \)
  3. C.\( 0.448 \text{ mol dm}^{-3} \)
  4. D.\( 0.896 \text{ mol dm}^{-3} \)

Answer

C

Worked solution

1. Moles of \( \text{S}_2\text{O}_3^{2-} \) used = \( 0.100 \times 0.02240 = 2.24 \times 10^{-3} \text{ mol} \).
2. Moles of \( \text{I}_2 = \frac{1}{2} \times n(\text{S}_2\text{O}_3^{2-}) = 1.12 \times 10^{-3} \text{ mol} \).
3. Moles of \( \text{OCl}^- = n(\text{I}_2) = 1.12 \times 10^{-3} \text{ mol} \) in \( 25.00 \text{ cm}^3 \) diluted solution.
4. Conc. of \( \text{OCl}^- \) in diluted solution = \( 1.12 \times 10^{-3} / 0.02500 = 0.0448 \text{ mol dm}^{-3} \).
5. Original conc. (dilution factor of 10) = \( 0.0448 \times 10 = 0.448 \text{ mol dm}^{-3} \).

Marking scheme

Award 1 mark for option C. Method involves sequential stoichiometric ratios and accounting for the dilution factor.
Question 18 · MC
1 marks
An organic compound \( Y \) has a molecular formula \( \text{C}_3\text{H}_6\text{O}_2 \). Its infrared (IR) spectrum shows a strong broad absorption band around \( 3000 \text{ cm}^{-1} \) and a strong sharp absorption band around \( 1715 \text{ cm}^{-1} \). Which of the following statements about the mass spectrum of \( Y \) is correct?
  1. A.The molecular ion peak occurs at \( m/z = 60 \).
  2. B.It shows a prominent peak at \( m/z = 45 \), corresponding to the species \( [\text{COOH}]^+ \).
  3. C.It shows a prominent peak at \( m/z = 43 \), corresponding to the species \( [\text{C}_3\text{H}_7]^+ \).
  4. D.There is a prominent peak at \( m/z = 15 \) due to the loss of a water molecule.

Answer

B

Worked solution

From the IR data, the compound contains an O-H group (carboxylic acid, broad at \( 3000 \text{ cm}^{-1} \)) and a C=O group (sharp at \( 1715 \text{ cm}^{-1} \)). Therefore, \( Y \) is propanoic acid (\( \text{CH}_3\text{CH}_2\text{COOH} \)). In the mass spectrum of propanoic acid, cleavage adjacent to the carbonyl group yields the highly stable acylium/carboxyl fragment \( [\text{COOH}]^+ \) at \( m/z = 45 \).

Marking scheme

Award 1 mark for B. Student must identify the compound as propanoic acid first, then identify the correct mass fragment.
Question 19 · MC
1 marks
Which of the following mixtures, when heated strongly, will undergo a displacement reaction?
  1. A.\( \text{MgO} \) and \( \text{Fe} \)
  2. B.\( \text{Al}_2\text{O}_3 \) and \( \text{Cu} \)
  3. C.\( \text{Fe}_2\text{O}_3 \) and \( \text{Al} \)
  4. D.\( \text{ZnO} \) and \( \text{Pb} \)

Answer

C

Worked solution

According to the metal reactivity series: \( \text{Al} > \text{Zn} > \text{Fe} > \text{Pb} > \text{Cu} \). A free metal can displace a less reactive metal from its oxide. Since aluminum (\( \text{Al} \)) is more reactive than iron (\( \text{Fe} \)), heating a mixture of \( \text{Fe}_2\text{O}_3 \) and \( \text{Al} \) results in a vigorous thermite reaction. Fe, Cu, and Pb are less reactive than Mg, Al, and Zn respectively, so other options show no reaction.

Marking scheme

Award 1 mark for C. The question tests understanding of the reactivity series applied to solid-state displacement reactions.
Question 20 · MC
1 marks
Which of the following molecules / ions has the same shape as the hydronium ion (\( \text{H}_3\text{O}^+ \))?
  1. A.\( \text{BF}_3 \)
  2. B.\( \text{PCl}_3 \)
  3. C.\( \text{CO}_3^{2-} \)
  4. D.\( \text{ClF}_3 \)

Answer

B

Worked solution

\( \text{H}_3\text{O}^+ \) has 3 bond pairs and 1 lone pair on the central oxygen atom, resulting in a trigonal pyramidal shape. \( \text{PCl}_3 \) also has 3 bond pairs and 1 lone pair on the central phosphorus atom, which also gives it a trigonal pyramidal shape. \( \text{BF}_3 \) and \( \text{CO}_3^{2-} \) are trigonal planar, while \( \text{ClF}_3 \) is T-shaped.

Marking scheme

Award 1 mark for B. Apply VSEPR theory to find electron pairs and shapes of molecules.
Question 21 · MC
1 marks
Consider the following standard enthalpy changes of combustion (\(\Delta H_c^\theta\)) at \(298\text{ K}\): \(\text{C(graphite)} = -393.5\text{ kJ mol}^{-1}\), \(\text{H}_2\text{(g)} = -285.8\text{ kJ mol}^{-1}\), \(\text{C}_3\text{H}_8\text{(g)} = -2220.0\text{ kJ mol}^{-1}\). What is the standard enthalpy change of formation of propane (\(\text{C}_3\text{H}_8\text{(g)}\)) at \(298\text{ K}\)?
  1. A.-103.7 kJ mol^{-1}
  2. B.-1540.7 kJ mol^{-1}
  3. C.+103.7 kJ mol^{-1}
  4. D.+1540.7 kJ mol^{-1}

Answer

A

Worked solution

According to Hess's Law, the equation for the formation of propane is: \(3\text{C(graphite)} + 4\text{H}_2\text{(g)} \rightarrow \text{C}_3\text{H}_8\text{(g)}\). Using the standard enthalpy changes of combustion: \(\Delta H_f^\theta = 3 \times \Delta H_c^\theta[\text{C}] + 4 \times \Delta H_c^\theta[\text{H}_2] - \Delta H_c^\theta[\text{C}_3\text{H}_8]\) which gives \(\Delta H_f^\theta = 3(-393.5) + 4(-285.8) - (-2220.0) = -103.7\text{ kJ mol}^{-1}\).

Marking scheme

Award 1 mark for correct choice A. Method: apply Hess's Law to relate standard enthalpies of combustion to standard enthalpy of formation. Accuracy: calculation gives -103.7 kJ/mol.
Question 22 · MC
1 marks
A chemical cell is set up by connecting a zinc-zinc(II) ion half-cell and a copper-copper(II) ion half-cell using a salt bridge. If the zinc electrode and its solution are replaced by a nickel electrode and a nickel(II) ion solution under the same conditions, which of the following statements is/are correct? (Given standard reduction potentials: \(E^\theta(\text{Zn}^{2+}/\text{Zn}) = -0.76\text{ V}\); \(E^\theta(\text{Ni}^{2+}/\text{Ni}) = -0.25\text{ V}\); \(E^\theta(\text{Cu}^{2+}/\text{Cu}) = +0.34\text{ V}\)) (1) The cell voltage decreases. (2) Electrons still flow from the other electrode to the copper electrode through the external circuit. (3) The mass of the nickel electrode increases.
  1. A.(1) only
  2. B.(1) and (2) only
  3. C.(2) and (3) only
  4. D.(1), (2) and (3)

Answer

B

Worked solution

(1) is correct because the original cell voltage is 0.34 - (-0.76) = 1.10 V, while the new cell voltage is 0.34 - (-0.25) = 0.59 V. (2) is correct because Ni is more reactive than Cu, so Ni acts as the negative electrode and undergoes oxidation, releasing electrons which flow to the Cu electrode. (3) is incorrect because Ni undergoes oxidation to Ni2+(aq), so the nickel electrode dissolves and its mass decreases.

Marking scheme

Award 1 mark for correct choice B. Deduce that (1) and (2) are correct, while (3) is incorrect because nickel dissolves during discharge.
Question 23 · MC
1 marks
What is the IUPAC name of the compound with the following structure? \(\text{ClCH}_2\text{CH}=\text{CHCH(CH}_3)_2\)
  1. A.5-chloro-2-methylpent-3-ene
  2. B.1-chloro-4-methylpent-2-ene
  3. C.1-chloro-4,4-dimethylbut-2-ene
  4. D.4-isopropyl-1-chlorobut-2-ene

Answer

B

Worked solution

The longest carbon chain containing the double bond has 5 carbon atoms, making it a pentene. Numbering from right to left gives the double bond the lowest locants (at C2). The substituent at C1 is chlorine, and the substituent at C4 is methyl. Thus, the IUPAC name is 1-chloro-4-methylpent-2-ene.

Marking scheme

Award 1 mark for correct choice B. Correctly identify the parent chain length (pent-2-ene) and assign lowest locants priority to the double bond over the alkyl/halogen groups.
Question 24 · MC
1 marks
Consider the following reaction route: Compound X \(\xrightarrow{\text{acidified }\text{K}_2\text{Cr}_2\text{O}_7\text{(aq), heat under reflux}}\). Compound Y \(\xrightarrow{\text{CH}_3\text{CH}_2\text{OH, conc. }\text{H}_2\text{SO}_4\text{, heat}}\). Compound Z. If Compound Z has the molecular formula \(\text{C}_5\text{H}_{10}\text{O}_2\), what is the IUPAC name of Compound X?
  1. A.propan-1-ol
  2. B.propan-2-ol
  3. C.propanoic acid
  4. D.ethyl propanoate

Answer

A

Worked solution

Compound Z is an ester with 5 carbon atoms. Since it is formed by esterification of Compound Y with ethanol (which has 2 carbon atoms), Compound Y must be a carboxylic acid with 3 carbon atoms (propanoic acid). Compound Y is formed by oxidation under reflux of Compound X. Thus, X must be a primary alcohol with 3 carbon atoms, which is propan-1-ol.

Marking scheme

Award 1 mark for correct choice A. Deduce the ester structure as ethyl propanoate, identifying Y as propanoic acid, and X as propan-1-ol.
Question 25 · MC
1 marks
A \(2.50\text{ g}\) sample of an eggshell was treated with \(50.0\text{ cm}^3\) of \(0.500\text{ M }\text{HCl(aq)}\). After the reaction was complete, the remaining solution required \(16.8\text{ cm}^3\) of \(0.250\text{ M }\text{NaOH(aq)}\) for complete neutralization. What is the percentage by mass of calcium carbonate (\(\text{CaCO}_3\)) in the eggshell? (Relative atomic masses: \(C = 12.0\), \(O = 16.0\), \(Ca = 40.1\))
  1. A.20.8%
  2. B.41.6%
  3. C.83.3%
  4. D.91.6%

Answer

B

Worked solution

Initial moles of HCl = 0.0500 * 0.500 = 0.0250 mol. Moles of NaOH used = 0.0168 * 0.250 = 0.0042 mol. Moles of HCl in excess = 0.0042 mol. Moles of HCl reacted with CaCO3 = 0.0250 - 0.0042 = 0.0208 mol. Since CaCO3 + 2HCl -> CaCl2 + CO2 + H2O, moles of CaCO3 = 0.0208 / 2 = 0.0104 mol. Mass of CaCO3 = 0.0104 * 100.1 = 1.041 g. Mass percentage = (1.041 / 2.50) * 100% = 41.6%.

Marking scheme

Award 1 mark for correct choice B. Method: calculate excess moles of HCl, find moles of HCl reacted, use 1:2 ratio to find moles of CaCO3, and calculate mass percentage.
Question 26 · MC
1 marks
For a particular chemical reaction, a plot of \(\ln k\) against \(\frac{1}{T}\) gives a straight line with a slope of \(-1.20 \times 10^4\text{ K}\), where \(k\) is the rate constant and \(T\) is the temperature in Kelvin. What is the activation energy of this reaction? (Given: gas constant \(R = 8.314\text{ J mol}^{-1}\text{ K}^{-1}\))
  1. A.99.8 kJ mol^{-1}
  2. B.1.44 kJ mol^{-1}
  3. C.12.0 kJ mol^{-1}
  4. D.99.8 J mol^{-1}

Answer

A

Worked solution

According to the Arrhenius equation: \(\ln k = -\frac{E_a}{R} \cdot \frac{1}{T} + \ln A\). The slope of the plot is \(-\frac{E_a}{R}\). Therefore, \(-\frac{E_a}{R} = -1.20 \times 10^4\text{ K}\), giving \(E_a = 1.20 \times 10^4 \times 8.314\text{ J mol}^{-1} = 9.98 \times 10^4\text{ J mol}^{-1} = 99.8\text{ kJ mol}^{-1}\).

Marking scheme

Award 1 mark for correct choice A. Method: relate slope to -Ea/R and perform conversion from Joules to kilojoules.
Question 27 · MC
1 marks
Acetanilide (\(\text{C}_8\text{H}_9\text{NO}\)) is prepared by reacting aniline (\(\text{C}_6\text{H}_5\text{NH}_2\)) with acetic anhydride (\((\text{CH}_3\text{CO})_2\text{O}\)) according to the following equation: \(\text{C}_6\text{H}_5\text{NH}_2 + (\text{CH}_3\text{CO})_2\text{O} \rightarrow \text{C}_6\text{H}_5\text{NHCOCH}_3 + \text{CH}_3\text{COOH}\). What is the atom economy of this reaction for the synthesis of acetanilide? (Relative atomic masses: \(H = 1.0\), \(C = 12.0\), \(N = 14.0\), \(O = 16.0\))
  1. A.30.8%
  2. B.44.4%
  3. C.69.2%
  4. D.100%

Answer

C

Worked solution

Formula mass of Aniline = 6(12.0) + 7(1.0) + 14.0 = 93.0. Formula mass of Acetic anhydride = 4(12.0) + 6(1.0) + 3(16.0) = 102.0. Total mass of reactants = 93.0 + 102.0 = 195.0. Formula mass of desired product Acetanilide = 8(12.0) + 9(1.0) + 14.0 + 16.0 = 135.0. Atom economy = (135.0 / 195.0) * 100% = 69.2%.

Marking scheme

Award 1 mark for correct choice C. Method: calculate the ratio of the molar mass of the desired product to the sum of the molar masses of all reactants, expressed as a percentage.
Question 28 · MC
1 marks
An organic compound X shows a strong and broad absorption band in the range \(3230 - 3670\text{ cm}^{-1}\) in its infrared spectrum. Compound X does not cause any color change when heated with acidified \(\text{K}_2\text{Cr}_2\text{O}_7\text{(aq)}\). Which of the following is most likely Compound X?
  1. A.propan-1-ol
  2. B.propan-2-ol
  3. C.2-methylpropan-2-ol
  4. D.propanoic acid

Answer

C

Worked solution

The infrared absorption band at 3230 - 3670 cm-1 indicates the presence of an O-H group (alcohol). Primary alcohols (propan-1-ol) and secondary alcohols (propan-2-ol) are oxidized by acidified potassium dichromate, changing the solution's color from orange to green. Propanoic acid contains a carboxyl group (O-H stretch at 2500 - 3300 cm-1). 2-methylpropan-2-ol is a tertiary alcohol, which cannot be oxidized by acidified dichromate, hence causing no color change.

Marking scheme

Award 1 mark for correct choice C. Method: identify the infrared band as an alcohol O-H stretch and determine which alcohol is resistant to dichromate oxidation.
Question 29 · MC
1 marks
Consider the following experimental observations on three metals, P, Q, and R: (1) Metal P reacts vigorously with cold water to produce a gas. (2) The oxide of Q can be reduced by heating with carbon, but the oxide of P cannot. (3) When metal Q is added to an aqueous solution containing ions of R, a deposit of metal R is formed on the surface of Q. Which of the following is the correct order of reactivity of the metals in decreasing order?
  1. A.P > Q > R
  2. B.P > R > Q
  3. C.Q > P > R
  4. D.R > Q > P

Answer

A

Worked solution

Observation (1) indicates P is highly reactive (e.g., alkali/alkaline earth metal). Observation (2) shows P is more reactive than Q because the oxide of P is too stable to be reduced by carbon, unlike the oxide of Q. Observation (3) shows Q is more reactive than R because Q displaces R from solution. Therefore, the decreasing order of reactivity is P > Q > R.

Marking scheme

Award 1 mark for correct choice A. Deduce reactivity based on reaction with cold water, ease of oxide reduction by carbon, and metal displacement.
Question 30 · MC
1 marks
Which of the following pairs of chemical species has the same molecular / ionic shape?
  1. A.BF3 and NH3
  2. B.CH4 and NH4+
  3. C.H2O and CO2
  4. D.PCl3 and BF3

Answer

B

Worked solution

Both CH4 and NH4+ have a central atom bonded to 4 terminal atoms with 0 lone pairs, giving them a tetrahedral shape. BF3 (trigonal planar) and NH3 (trigonal pyramidal) have different shapes. H2O (bent) and CO2 (linear) have different shapes. PCl3 (trigonal pyramidal) and BF3 (trigonal planar) have different shapes.

Marking scheme

Award 1 mark for correct choice B. Apply VSEPR theory to identify that both CH4 and NH4+ possess a tetrahedral shape.
Question 31 · MC
1 marks
Consider the following standard enthalpy changes:
\( \text{C(graphite)} + \text{O}_2\text{(g)} \rightarrow \text{CO}_2\text{(g)} \quad \Delta H^\theta = -393.5 \text{ kJ mol}^{-1} \)
\( 2\text{H}_2\text{(g)} + \text{O}_2\text{(g)} \rightarrow 2\text{H}_2\text{O(l)} \quad \Delta H^\theta = -571.6 \text{ kJ mol}^{-1} \)
\( 2\text{C}_2\text{H}_2\text{(g)} + 5\text{O}_2\text{(g)} \rightarrow 4\text{CO}_2\text{(g)} + 2\text{H}_2\text{O(l)} \quad \Delta H^\theta = -2598.8 \text{ kJ mol}^{-1} \)

What is the standard enthalpy change of formation of ethyne (\(\text{C}_2\text{H}_2\text{(g)}\))?
  1. A.-226.6 kJ mol^-1
  2. B.+113.3 kJ mol^-1
  3. C.+226.6 kJ mol^-1
  4. D.+453.2 kJ mol^-1

Answer

C

Worked solution

By definition, the standard enthalpy change of formation of ethyne corresponds to the reaction:
\( 2\text{C(graphite)} + \text{H}_2\text{(g)} \rightarrow \text{C}_2\text{H}_2\text{(g)} \)

Using Hess's Law and standard enthalpies of combustion:
For the combustion of ethyne:
\( \text{C}_2\text{H}_2\text{(g)} + 2.5\text{O}_2\text{(g)} \rightarrow 2\text{CO}_2\text{(g)} + \text{H}_2\text{O(l)} \)
\( \Delta H_c^\theta[\text{C}_2\text{H}_2\text{(g)}] = \frac{-2598.8}{2} = -1299.4 \text{ kJ mol}^{-1} \)

The standard enthalpy of combustion of graphite is:
\( \Delta H_c^\theta[\text{C(graphite)}] = -393.5 \text{ kJ mol}^{-1} \)

The standard enthalpy of combustion of hydrogen is:
\( \Delta H_c^\theta[\text{H}_2\text{(g)}] = \frac{-571.6}{2} = -285.8 \text{ kJ mol}^{-1} \) (which is also the enthalpy of formation of \(\text{H}_2\text{O(l)}\))

Using Hess's Law:
\( \Delta H_c^\theta[\text{C}_2\text{H}_2\text{(g)}] = 2\Delta H_f^\theta[\text{CO}_2\text{(g)}] + \Delta H_f^\theta[\text{H}_2\text{O(l)}] - \Delta H_f^\theta[\text{C}_2\text{H}_2\text{(g)}] \)
\( -1299.4 = 2(-393.5) + (-285.8) - \Delta H_f^\theta[\text{C}_2\text{H}_2\text{(g)}] \)
\( -1299.4 = -787.0 - 285.8 - \Delta H_f^\theta[\text{C}_2\text{H}_2\text{(g)}] \)
\( -1299.4 = -1072.8 - \Delta H_f^\theta[\text{C}_2\text{H}_2\text{(g)}] \)
\( \Delta H_f^\theta[\text{C}_2\text{H}_2\text{(g)}] = -1072.8 - (-1299.4) = +226.6 \text{ kJ mol}^{-1} \).

Marking scheme

Award 1 mark for the correct option C. No partial marks.
Question 32 · MC
1 marks
In which of the following species does vanadium have an oxidation number of +4?
(1) \(\text{VO}^{2+}\)
(2) \(\text{VO}_2\)
(3) \(\text{VCl}_4\)
  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

Let \(x\) be the oxidation number of vanadium in each species.
- For (1) \(\text{VO}^{2+}\): \(x + (-2) = +2 \Rightarrow x = +4\).
- For (2) \(\text{VO}_2\): \(x + 2(-2) = 0 \Rightarrow x = +4\).
- For (3) \(\text{VCl}_4\): \(x + 4(-1) = 0 \Rightarrow x = +4\).
Therefore, all three species contain vanadium with an oxidation state of +4.

Marking scheme

Award 1 mark for the correct option D. No partial marks.
Question 33 · MC
1 marks
An organic compound \(X\) has the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\). It does not react with sodium metal to give hydrogen gas, nor does it react with sodium hydrogencarbonate solution. To which of the following homologous series could \(X\) belong?
  1. A.Carboxylic acids
  2. B.Esters
  3. C.Diols
  4. D.Alcohols

Answer

B

Worked solution

With the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\), the compound has one degree of unsaturation (a ring or a double bond).
- It does not react with \(\text{Na}\) metal, meaning it does not contain an \(-\text{OH}\) group (excluding alcohols, diols, and carboxylic acids).
- It does not react with \(\text{NaHCO}_3\) solution, meaning it is not a carboxylic acid.
- Since it contains two oxygen atoms, lacks \(-\text{OH}\) and \(-\text{COOH}\) groups, and has one double bond (the \(\text{C}=\text{O}\) group), it is most likely an ester (e.g., ethyl ethanoate).

Marking scheme

Award 1 mark for the correct option B. No partial marks.
Question 34 · MC
1 marks
A mixture of gas \(X\) and gas \(Y\) reacts to form gas \(Z\). Which of the following changes would increase BOTH the rate of the reaction and the fraction of reactant molecules having energy equal to or greater than the activation energy?
(1) Increasing the temperature of the reaction mixture
(2) Adding a suitable catalyst
(3) Increasing the pressure of the system by reducing the volume of the container
  1. A.(1) only
  2. B.(1) and (2) only
  3. C.(2) and (3) only
  4. D.(1), (2) and (3)

Answer

B

Worked solution

- (1) Increasing temperature increases the kinetic energy of the molecules. The Maxwell-Boltzmann distribution curve shifts to the right, increasing the fraction of molecules with \(E \ge E_a\), thus increasing the reaction rate.
- (2) Adding a catalyst provides an alternative pathway with a lower activation energy (\(E_a'\)). Because \(E_a' < E_a\), the fraction of molecules with energy equal to or greater than the active activation energy increases, which increases the reaction rate.
- (3) Increasing pressure increases the concentration of reactants and collision frequency, which increases the reaction rate, but it does NOT change the kinetic energy of the molecules or the activation energy. Thus, the fraction of reactant molecules with energy \(\ge E_a\) remains unchanged.
Therefore, only (1) and (2) are correct.

Marking scheme

Award 1 mark for the correct option B. No partial marks.
Question 35 · MC
1 marks
How many acyclic structural isomers (excluding stereoisomers) exist for the compound with the molecular formula \(\text{C}_3\text{H}_5\text{Cl}_3\)?
  1. A.4
  2. B.5
  3. C.6
  4. D.7

Answer

B

Worked solution

The carbon skeleton of the acyclic compound must be a propane chain (\(\text{C}-\text{C}-\text{C}\)). We can arrange the three chlorine atoms on this chain as follows:
1. 1,1,1-trichloropropane: \(\text{CCl}_3-\text{CH}_2-\text{CH}_3\)
2. 1,1,2-trichloropropane: \(\text{CHCl}_2-\text{CHCl}-\text{CH}_3\)
3. 1,1,3-trichloropropane: \(\text{CHCl}_2-\text{CH}_2-\text{CH}_2\text{Cl}\)
4. 1,2,2-trichloropropane: \(\text{CH}_2\text{Cl}-\text{CCl}_2-\text{CH}_3\)
5. 1,2,3-trichloropropane: \(\text{CH}_2\text{Cl}-\text{CHCl}-\text{CH}_2\text{Cl}\)
Note that the central carbon can hold at most two chlorine atoms. All other positions are equivalent to these 5 by symmetry. Thus, there are exactly 5 structural isomers.

Marking scheme

Award 1 mark for the correct option B. No partial marks.
Question 36 · MC
1 marks
In a standardisation experiment, a student transfers \(25.00 \text{ cm}^3\) of a standard sodium carbonate solution into a conical flask using a pipette, and titrates it against a hydrochloric acid solution of unknown concentration delivered from a burette.

Which of the following experimental errors would result in an OVERESTIMATION of the calculated concentration of the hydrochloric acid solution?
  1. A.Rinsing the pipette with distilled water only before transferring the sodium carbonate solution.
  2. B.Rinsing the conical flask with the sodium carbonate solution before the titration.
  3. C.Rinsing the burette with distilled water only before filling it with the hydrochloric acid solution.
  4. D.Leaving an air bubble in the tip of the burette which is dislodged during the titration.

Answer

A

Worked solution

The calculation formula is: \(C_{\text{HCl}} = \frac{2 \times C_{\text{Na}_2\text{CO}_3} \times V_{\text{Na}_2\text{CO}_3}}{V_{\text{HCl}}}\).
- A: Rinsing the pipette with distilled water only dilutes the sodium carbonate solution. The actual number of moles of \(\text{Na}_2\text{CO}_3\) transferred is less than calculated. Consequently, a smaller volume of \(\text{HCl}\) (\(V_{\text{HCl}}\)) is needed to reach the end point. Since a smaller \(V_{\text{HCl}}\) is recorded, the calculated concentration of \(\text{HCl}\) will be higher than the actual value (overestimation). (Correct!)
- B: Rinsing the conical flask with sodium carbonate solution leaves extra \(\text{Na}_2\text{CO}_3\) in the flask, meaning a larger volume of \(\text{HCl}\) is required, resulting in an underestimation.
- C: Rinsing the burette with distilled water only dilutes the \(\text{HCl}\), meaning a larger volume of this diluted acid is needed, resulting in an underestimation.
- D: Dislodging an air bubble during titration increases the recorded volume of \(\text{HCl}\) delivered, resulting in an underestimation.

Marking scheme

Award 1 mark for the correct option A. No partial marks.

Paper 1 Section B

Answer ALL questions in both Part I and Part II. Write your answers in the spaces provided.
13 Question · 78 marks
Question 1 · conventional
6 marks
An electrolysis experiment is set up to purify an impure sample of copper containing small amounts of zinc and silver as impurities. The electrolyte used is aqueous copper(II) sulfate. (a) State which electrode (anode or cathode) should be made of the impure copper sample, and explain your answer in terms of oxidation and reduction. (2 marks) (b) Describe what happens to the zinc and silver impurities during the electrolysis process. (2 marks) (c) Write the ionic half-equation for the reaction occurring at the cathode, and state the visible change at this electrode. (2 marks)

Answer

Anode is impure copper where oxidation of copper and zinc occurs. Zinc ions enter solution while silver remains unreacted as anode slime. Cathode undergoes reduction of copper(II) ions to form copper metal.

Worked solution

(a) The anode should be made of the impure copper sample because oxidation occurs at the anode, where copper atoms are oxidised to copper(II) ions. (b) Zinc is more reactive than copper, so it is oxidised to zinc(II) ions and enters the electrolyte. Silver is less reactive than copper, so it is not oxidised and falls to the bottom of the container as anode slime. (c) The ionic half-equation at the cathode is Cu2+(aq) + 2e- -> Cu(s). A reddish-brown solid is deposited on the cathode.

Marking scheme

(a) Anode (1 mark); Copper is oxidised to Cu2+ (1 mark). (b) Zinc oxidised to Zn2+ in solution (1 mark); Silver remains unreacted as anode slime (1 mark). (c) Cu2+(aq) + 2e- -> Cu(s) (1 mark); Reddish-brown solid deposited (1 mark).
Question 2 · conventional
6 marks
A monomer X has the structure CH2=C(CH3)COOCH2CH3. (a) Give the systematic IUPAC name for monomer X. (1 mark) (b) Draw the repeating unit of the addition polymer formed from X. (1 mark) (c) Explain why this polymer is a thermoplastic rather than a thermosetting plastic. (2 marks) (d) Suggest one environmental concern associated with the disposal of this polymer by incineration. (2 marks)

Answer

Ethyl 2-methylpropenoate. Repeating unit: -[CH2-C(CH3)(COOCH2CH3)]-. Thermoplastic due to absence of covalent cross-links. Incineration releases carbon dioxide, contributing to global warming.

Worked solution

(a) The systematic IUPAC name of monomer X is ethyl 2-methylpropenoate. (b) The repeating unit is -[CH2-C(CH3)(COOCH2CH3)]-. (c) The polymer consists of long polymer chains held together by weak intermolecular forces (Van der Waals' forces) without covalent cross-links between them. Upon heating, these weak forces are easily overcome, allowing the chains to slide over one another. (d) Incineration of the carbon-based polymer releases carbon dioxide (a greenhouse gas) which contributes to global warming, or carbon monoxide due to incomplete combustion.

Marking scheme

(a) Ethyl 2-methylpropenoate (1 mark). (b) Correct repeating unit structure with open single bonds on both ends (1 mark). (c) Held by weak intermolecular forces / no covalent cross-links (1 mark); Chains can slide past each other when heated (1 mark). (d) CO2 gas released leading to enhanced greenhouse effect / toxic CO gas from incomplete combustion (2 marks).
Question 3 · conventional
6 marks
Titanium is extracted from its ore rutile (TiO2) via a multi-step process involving the reduction of titanium(IV) chloride (TiCl4) with magnesium at high temperatures. (a) Explain why titanium cannot be directly extracted from TiO2 by heating with carbon. (2 marks) (b) Write a chemical equation for the reduction of TiCl4 by magnesium. (1 mark) (c) Suggest why this extraction process is conducted under an inert atmosphere of argon gas. (1 mark) (d) State one advantage and one disadvantage of recycling titanium metal rather than extracting it from its ore. (2 marks)

Answer

Titanium is too reactive and reacts with carbon to form titanium carbide. TiCl4 + 2Mg -> Ti + 2MgCl2. Argon prevents reaction of hot metals with oxygen. Recycling saves energy but sorting is difficult.

Worked solution

(a) Titanium is highly reactive and has a high affinity for carbon; heating titanium(IV) oxide with carbon would produce titanium carbide (TiC) instead of pure titanium metal. (b) The chemical equation is TiCl4 + 2Mg -> Ti + 2MgCl2. (c) An inert atmosphere of argon is used to prevent the hot magnesium and titanium from reacting with oxygen and nitrogen in the air. (d) Advantage: Recycling conserves limited titanium ore resources and saves a significant amount of energy. Disadvantage: Sorting and purifying titanium scrap is difficult and expensive.

Marking scheme

(a) Titanium is highly reactive / has high affinity for carbon (1 mark); Heating with carbon forms titanium carbide (1 mark). (b) TiCl4 + 2Mg -> Ti + 2MgCl2 (1 mark). (c) Prevents hot Mg/Ti from reacting with oxygen/nitrogen in air (1 mark). (d) One advantage: saves energy / conserves resource (1 mark); One disadvantage: high cost of collection/sorting/purifying (1 mark).
Question 4 · conventional
6 marks
An experiment was conducted to determine the standard enthalpy change of formation of liquid propan-2-ol, CH3CH(OH)CH3(l). The standard enthalpy changes of combustion (\Delta H_c^\theta) are given: \Delta H_c^\theta[C(s, graphite)] = -394 kJ mol-1, \Delta H_c^\theta[H2(g)] = -286 kJ mol-1, \Delta H_c^\theta[CH3CH(OH)CH3(l)] = -2006 kJ mol-1. (a) Write the thermochemical equation for the standard enthalpy change of formation of propan-2-ol. (2 marks) (b) Construct a Hess's Law cycle to calculate the standard enthalpy change of formation (\Delta H_f^\theta) of propan-2-ol. (4 marks)

Answer

3C(s, graphite) + 4H2(g) + 0.5O2(g) -> CH3CH(OH)CH3(l), delta Hf = -320 kJ mol-1.

Worked solution

(a) The thermochemical equation is: 3C(s, graphite) + 4H2(g) + 0.5O2(g) -> CH3CH(OH)CH3(l) \Delta H_f^\theta = -320 kJ mol-1. (b) According to Hess's Law, the enthalpy change of the reaction can be calculated by comparing the combustion products of both sides. Enthalpy of reactants combustion: 3 * (-394) + 4 * (-286) = -1182 - 1144 = -2326 kJ mol-1. Enthalpy of product combustion: -2006 kJ mol-1. \Delta H_f^\theta = \sum \Delta H_c^\theta(reactants) - \sum \Delta H_c^\theta(products) = -2326 - (-2006) = -320 kJ mol-1.

Marking scheme

(a) Correct equation with balanced coefficients (1 mark); Correct state symbols (1 mark). (b) Drawing a correct Hess's Law cycle or expressing correct algebraic relationship (1 mark); Calculating total reactant combustion enthalpy as -2326 kJ mol-1 (1 mark); Expressing \Delta H_f^\theta = -2326 - (-2006) (1 mark); Final answer: -320 kJ mol-1 with unit (1 mark).
Question 5 · conventional
6 marks
Ethyl ethanoate is prepared in a laboratory by reacting ethanol with ethanoic acid. (a) Name the catalyst used in this reaction and state one other function of this substance in the reaction mixture. (2 marks) (b) Briefly explain why the reaction mixture is heated under reflux rather than in an open beaker. (2 marks) (c) After heating, sodium carbonate solution is added to the mixture. State the purpose of adding sodium carbonate and the observation that indicates its reaction is complete. (2 marks)

Answer

Concentrated sulfuric acid (catalyst and dehydrating agent). Reflux prevents the loss of volatile reactants. Sodium carbonate neutralises excess acids; effervescence ceases when complete.

Worked solution

(a) The catalyst is concentrated sulfuric acid. Its other function is acting as a dehydrating agent (or removing water to shift the equilibrium position to the right). (b) Heating under reflux prevents the loss of volatile organic reactants (ethanol and ethanoic acid) and product (ethyl ethanoate) by condensing their vapours back into the reaction flask, allowing the reaction to be heated for a longer duration. (c) Sodium carbonate is added to neutralise excess unreacted ethanoic acid and the sulfuric acid catalyst. Completion is indicated when no more gas bubbles (effervescence) are produced.

Marking scheme

(a) Concentrated sulfuric acid (1 mark); Dehydrating agent / shifts equilibrium (1 mark). (b) Prevents loss of volatile reactants/products (1 mark); Condenses vapour back to allow heating for longer time (1 mark). (c) Neutralise excess unreacted acids (1 mark); Effervescence stops / no more gas bubbles (1 mark).
Question 6 · conventional
6 marks
The rate constant k of a first-order decomposition reaction was measured at two different temperatures: At T1 = 300 K, k1 = 2.4 * 10^-3 s-1. At T2 = 340 K, k2 = 6.8 * 10^-2 s-1. (Given: Gas constant R = 8.31 J K-1 mol-1; Arrhenius equation can be written as ln(k2/k1) = -Ea/R * (1/T2 - 1/T1)). (a) Calculate the activation energy, Ea, for this reaction in kJ mol-1. (4 marks) (b) Explain, using collision theory, how a catalyst increases the rate of this reaction. (2 marks)

Answer

Ea = 70.8 kJ mol-1. Catalyst provides alternative pathway with lower Ea, increasing fraction of effective collisions.

Worked solution

(a) Using the formula: ln(6.8 * 10^-2 / 2.4 * 10^-3) = -Ea / 8.31 * (1/340 - 1/300). ln(28.333) = -Ea / 8.31 * (-0.000392). 3.344 = Ea / 8.31 * 0.000392. Ea = 3.344 * 8.31 / 0.000392 = 70847 J mol-1 = 70.8 kJ mol-1. (b) A catalyst provides an alternative reaction pathway with a lower activation energy. Therefore, a larger fraction of reactant molecules possess kinetic energy greater than or equal to the activation energy, which increases the frequency of effective collisions.

Marking scheme

(a) Correct substitution of k and T values into Arrhenius equation (1 mark); Evaluation of ln(k2/k1) and temperature term (1 mark); Accurate value of Ea in Joules (70847 J mol-1) (1 mark); Final value converted to kJ mol-1 (70.8 kJ mol-1) (1 mark). (b) Catalyst provides alternative pathway with lower Ea (1 mark); Larger fraction of reactant molecules have kinetic energy >= Ea to increase effective collision frequency (1 mark).
Question 7 · conventional
6 marks
Consider the following two chemical routes, Route A and Route B, for producing a desired product P (molar mass = 120 g mol-1). Route A (Single-step): X + Y -> P + Z (molar mass of X = 80 g mol-1, Y = 90 g mol-1, and Z = 50 g mol-1). Route B (Two-step catalytic): Step 1: A + B -> C (100% yield); Step 2: C + D -> P (90% yield, no by-products) (molar mass of A = 50 g mol-1, B = 70 g mol-1, D = 10 g mol-1, and C = 120 g mol-1). (a) Calculate the atom economy of Route A. (2 marks) (b) Calculate the atom economy of Route B. (2 marks) (c) Based on green chemistry principles, suggest two reasons why Route B might be preferred over Route A, despite involving more steps. (2 marks)

Answer

Route A atom economy = 70.6%. Route B atom economy = 92.3%. Route B is preferred due to higher atom economy and prevention of waste (Z).

Worked solution

(a) Atom economy of Route A = (molar mass of P) / (molar mass of X + Y) * 100% = 120 / (80 + 90) * 100% = 120 / 170 * 100% = 70.6%. (b) The starting reactants for the overall Route B are A, B, and D (as C is an intermediate). Atom economy of Route B = (molar mass of P) / (molar mass of A + B + D) * 100% = 120 / (50 + 70 + 10) * 100% = 120 / 130 * 100% = 92.3%. (c) 1. Route B has a higher atom economy, which reduces chemical waste. 2. Route B avoids the production of by-product Z, which might be hazardous or require additional cost to dispose of.

Marking scheme

(a) Calculation setup (120/170) (1 mark); Correct percentage 70.6% (1 mark). (b) Identifying reactants as A, B, D and setup (120/130) (1 mark); Correct percentage 92.3% (1 mark). (c) Route B has higher atom economy/less waste (1 mark); Avoids production of hazardous by-product Z (1 mark).
Question 8 · conventional
6 marks
A student determined the calcium carbonate content of an eggshell. A 2.00 g sample of clean, dry eggshell was treated with 50.0 cm3 of 1.00 mol dm-3 hydrochloric acid, HCl(aq) (an excess). The mixture was heated to complete the reaction and filtered. The filtrate was made up to 250.0 cm3. A 25.0 cm3 portion of this solution required 14.10 cm3 of 0.100 mol dm-3 sodium hydroxide, NaOH(aq), for complete neutralisation. (a) Write the chemical equation for the reaction between calcium carbonate and hydrochloric acid. (1 mark) (b) Calculate the number of moles of HCl that reacted with the calcium carbonate in the eggshell sample. (4 marks) (c) Calculate the percentage by mass of calcium carbonate in the eggshell. (1 mark) (Molar mass of CaCO3 = 100.1 g mol-1)

Answer

CaCO3 + 2HCl -> CaCl2 + H2O + CO2. Moles of HCl reacted = 0.0359 mol. Percentage by mass of CaCO3 = 89.8%.

Worked solution

(a) CaCO3(s) + 2HCl(aq) -> CaCl2(aq) + H2O(l) + CO2(g). (b) Initial moles of HCl = 1.00 * (50.0/1000) = 0.0500 mol. Moles of NaOH used in titration = 0.100 * (14.10/1000) = 0.00141 mol. Moles of HCl in 25.0 cm3 filtrate = 0.00141 mol (since reaction ratio of HCl to NaOH is 1:1). Total moles of excess HCl in 250.0 cm3 filtrate = 0.00141 * (250.0/25.0) = 0.0141 mol. Moles of HCl reacted with CaCO3 = 0.0500 - 0.0141 = 0.0359 mol. (c) From the equation, 1 mole of CaCO3 reacts with 2 moles of HCl. Moles of CaCO3 = 0.0359 / 2 = 0.01795 mol. Mass of CaCO3 = 0.01795 * 100.1 = 1.797 g. Percentage by mass = (1.797 / 2.00) * 100% = 89.8%.

Marking scheme

(a) CaCO3(s) + 2HCl(aq) -> CaCl2(aq) + H2O(l) + CO2(g) (1 mark). (b) Initial moles of HCl = 0.0500 mol (1 mark); Moles of HCl in 25.0 cm3 = 0.00141 mol (1 mark); Total excess moles of HCl = 0.0141 mol (1 mark); Moles of reacted HCl = 0.0359 mol (1 mark). (c) Percentage by mass = 89.8% (1 mark).
Question 9 · conventional
6 marks
An unknown organic compound W has the molecular formula C3H6O. (a) Draw the structures of all possible structural isomers of W that are carbonyl compounds (aldehydes or ketones). (2 marks) (b) In the Infrared (IR) spectrum of W, a strong, sharp absorption peak is observed near 1715 cm-1, but there is no absorption peak in the region of 2700 - 2830 cm-1. Identify the functional group present in W, and deduce whether W is an aldehyde or a ketone. (2 marks) (c) Describe how you could use a chemical test to distinguish between the possible isomers in (a) and state the observations. (2 marks)

Answer

Isomers: propanal and propanone. IR shows carbonyl group (C=O) and absence of aldehyde C-H, indicating ketone (propanone). Tollens' test distinguishes them: propanal forms silver mirror, propanone does not.

Worked solution

(a) The carbonyl isomers of C3H6O are propanal (CH3CH2CHO) and propanone (CH3COCH3). (b) The strong peak at 1715 cm-1 indicates the presence of a C=O (carbonyl) group. Since there is no absorption in the region of 2700 - 2830 cm-1 (which is characteristic of the aldehydic C-H stretching vibration), W does not contain an aldehyde group. Hence, W is a ketone. (c) Warm both compounds separately with Tollens' reagent (ammoniacal silver nitrate). Propanal (the aldehyde) will form a silver mirror on the inner wall of the test tube, while propanone (the ketone) will show no observable change.

Marking scheme

(a) Structures of propanal and propanone (1 mark for each). (b) Carbonyl group / C=O (1 mark); Ketone, as it lacks the aldehyde C-H absorption at 2700-2830 cm-1 (1 mark). (c) Tollens' reagent / Fehling's solution (1 mark); Aldehyde gives silver mirror / red ppt, ketone has no change (1 mark).
Question 10 · conventional
6 marks
Carbonyl chloride (COCl2) decomposes according to the following reversible equation: COCl2(g) <=> CO(g) + Cl2(g) (\Delta H > 0). In an experiment, 1.00 mol of COCl2(g) is introduced into a closed 2.00 dm3 vessel at 600 K. At equilibrium, the concentration of CO(g) is found to be 0.15 mol dm-3. (a) Write the expression for the equilibrium constant, Kc, for this reaction. (1 mark) (b) Calculate the equilibrium concentrations of COCl2(g) and Cl2(g), and hence determine the value of Kc at 600 K (with units). (3 marks) (c) Predict and explain the effect of increasing the temperature on the equilibrium yield of CO(g). (2 marks)

Answer

Kc = [CO][Cl2]/[COCl2]. Equilibrium concentrations: [COCl2] = 0.35 mol dm-3, [Cl2] = 0.15 mol dm-3. Kc = 0.0643 mol dm-3. Increasing temperature increases yield of CO because forward reaction is endothermic.

Worked solution

(a) Kc = [CO][Cl2] / [COCl2]. (b) Initial concentration of COCl2 = 1.00 / 2.00 = 0.50 mol dm-3. At equilibrium, [CO] = 0.15 mol dm-3, so [Cl2] = 0.15 mol dm-3 because of the 1:1 mole ratio. [COCl2] at equilibrium = 0.50 - 0.15 = 0.35 mol dm-3. Substituting these values into the Kc expression: Kc = (0.15 * 0.15) / 0.35 = 0.0643 mol dm-3. (c) Since the forward reaction is endothermic (\Delta H > 0), according to Le Chatelier's principle, increasing the temperature will shift the equilibrium position to the right (the endothermic direction) to absorb the added thermal energy. Thus, the equilibrium yield of CO(g) will increase.

Marking scheme

(a) Kc = [CO][Cl2]/[COCl2] (1 mark). (b) Equilibrium [Cl2] = 0.15 mol dm-3 and [COCl2] = 0.35 mol dm-3 (1 mark); Correct Kc calculation setup (1 mark); Final answer: 0.0643 mol dm-3 (accept 0.064) with correct unit (1 mark). (c) Yield of CO increases (1 mark); Forward reaction is endothermic, so equilibrium shifts to the right to absorb heat (1 mark).
Question 11 · Structured
6 marks
An alkaline hydrogen-oxygen fuel cell is used in space shuttles to provide electricity and drinking water.
(a) Write the half-equation for the reaction occurring at the anode (negative electrode) of this cell. (1 mark)
(b) Write the half-equation for the reaction occurring at the cathode (positive electrode) of this cell. (1 mark)
(c) State one advantage of using fuel cells over conventional zinc-carbon dry cells. (1 mark)
(d) Under a certain operating condition, the fuel cell delivers a constant current of \(2.0\text{ A}\) for \(9650\text{ s}\). Calculate the mass of water produced during this period.
(Faraday constant, \(F = 96500\text{ C mol}^{-1}\); molar mass of \(\text{H}_2\text{O} = 18.0\text{ g mol}^{-1}\)) (3 marks)

Answer

(a) H2(g) + 2OH-(aq) -> 2H2O(l) + 2e-<br>(b) O2(g) + 2H2O(l) + 4e- -> 4OH-(aq)<br>(c) Continuous energy supply without replacement / high efficiency.<br>(d) 1.80 g

Worked solution

(a) At the anode (oxidation): \(\text{H}_2(g) + 2\text{OH}^-(aq) \rightarrow 2\text{H}_2\text{O}(l) + 2e^-\)
(b) At the cathode (reduction): \(\text{O}_2(g) + 2\text{H}_2\text{O}(l) + 4e^- \rightarrow 4\text{OH}^-(aq)\)
(c) Fuel cells have a higher energy conversion efficiency than conventional dry cells, or they can operate continuously as long as external fuel is supplied (no need for disposal/recharging).
(d)
1. Charge passed: \(Q = I \times t = 2.0\text{ A} \times 9650\text{ s} = 19300\text{ C}\).
2. Moles of electrons: \(n(e^-) = \frac{19300\text{ C}}{96500\text{ C mol}^{-1}} = 0.20\text{ mol}\).
3. From the half-equations, 2 moles of electrons correspond to 1 mole of \(\text{H}_2\text{O}\) produced overall (or anode half-reaction ratio: \(2e^- : 2\text{H}_2\text{O}\), but with cathode consumption, overall stoichiometry is \(2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}\) where 4 electrons are transferred for every 2 molecules of water formed, i.e., \(2e^-\) per \(\text{H}_2\text{O}\)).
Hence, \(n(\text{H}_2\text{O}) = \frac{1}{2} n(e^-) = 0.10\text{ mol}\).
4. Mass of \(\text{H}_2\text{O} = 0.10\text{ mol} \times 18.0\text{ g mol}^{-1} = 1.80\text{ g}\).

Marking scheme

(a) [1 mark] for \(\text{H}_2(g) + 2\text{OH}^-(aq) \rightarrow 2\text{H}_2\text{O}(l) + 2e^-\). Do not accept acidic half-equations.
(b) [1 mark] for \(\text{O}_2(g) + 2\text{H}_2\text{O}(l) + 4e^- \rightarrow 4\text{OH}^-(aq)\). Do not accept acidic half-equations.
(c) [1 mark] for stating high efficiency, continuous fuel supply, or non-polluting product (water).
(d) [1 mark] for calculating charge and moles of electrons (0.20 mol); [1 mark] for finding the correct mole ratio of electron to water (2:1, hence 0.10 mol of water); [1 mark] for calculating the correct mass of water (1.80 g). Deduct 1 mark for incorrect/missing unit.
Question 12 · Structured
6 marks
The standard enthalpy changes of combustion (\(\Delta H_c^\ominus\)) of carbon (graphite), hydrogen gas, and propene gas (\(\text{C}_3\text{H}_6\)) at \(298\text{ K}\) are given below:
- \(\text{C}\text{(graphite, } s) + \text{O}_2(g) \rightarrow \text{CO}_2(g) \quad \Delta H_c^\ominus = -394\text{ kJ mol}^{-1}\)
- \(\text{H}_2(g) + \frac{1}{2}\text{O}_2(g) \rightarrow \text{H}_2\text{O}(l) \quad \Delta H_c^\ominus = -286\text{ kJ mol}^{-1}\)
- \(\text{C}_3\text{H}_6(g) + \frac{9}{2}\text{O}_2(g) \rightarrow 3\text{CO}_2(g) + 3\text{H}_2\text{O}(l) \quad \Delta H_c^\ominus = -2058\text{ kJ mol}^{-1}\)

(a) Define the term "standard enthalpy change of combustion". (2 marks)
(b) Write a chemical equation for the formation of propene gas from its elements in their standard states. (1 mark)
(c) Calculate the standard enthalpy change of formation of propene gas. (3 marks)

Answer

(a) Enthalpy change when 1 mole of substance is completely burned in oxygen under standard conditions.<br>(b) 3C(graphite, s) + 3H2(g) -> C3H6(g)<br>(c) +18 kJ mol^-1

Worked solution

(a) The standard enthalpy change of combustion is the enthalpy change when one mole of a substance is completely burned in oxygen under standard conditions (1 atm, 298 K).
(b) The elements in their standard states are carbon as graphite (solid) and hydrogen as diatomic gas: \(3\text{C(graphite, } s) + 3\text{H}_2(g) \rightarrow \text{C}_3\text{H}_6(g)\).
(c) According to Hess's Law:
\(\Delta H_f^⊖[\text{C}_3\text{H}_6(g)] = 3 \times \Delta H_c^⊖[\text{C(graphite)}] + 3 \times \Delta H_c^⊖[\text{H}_2(g)] - \Delta H_c^⊖[\text{C}_3\text{H}_6(g)]\)
\(\Delta H_f^⊖[\text{C}_3\text{H}_6(g)] = 3(-394) + 3(-286) - (-2058)\)
\(\Delta H_f^⊖[\text{C}_3\text{H}_6(g)] = -1182 - 858 + 2058 = +18\text{ kJ mol}^{-1}\).

Marking scheme

(a) [1 mark] for "one mole of substance"; [1 mark] for "completely burned in oxygen under standard conditions".
(b) [1 mark] for the correct balanced equation with state symbols (\(3\text{C(graphite, s)} + 3\text{H}_2(g) \rightarrow \text{C}_3\text{H}_6(g)\)). Accept C(s).
(c) [1 mark] for showing a correct enthalpy cycle or mathematical expression based on Hess's Law; [1 mark] for substituting correct numbers into the expression; [1 mark] for calculating the correct answer with unit (\(+18\text{ kJ mol}^{-1}\) or \(18\text{ kJ mol}^{-1}\)).
Question 13 · Structured
6 marks
Consider the following reaction sequence to prepare ethyl propanoate from 1-chloropropane:
Reaction 1: \(\text{1-chloropropane} \xrightarrow{\text{reagent A}} \text{propan-1-ol}\)
Reaction 2: \(\text{propan-1-ol} \xrightarrow{\text{reagent B}} \text{propanoic acid}\)
Reaction 3: \(\text{propanoic acid} + \text{ethanol} \xrightarrow{\text{reagent C}} \text{ethyl propanoate}\)

(a) State the reagent and reaction conditions for Reaction 1. (2 marks)
(b) Identify reagent B and state the expected color change during Reaction 2. (2 marks)
(c) State the name of reagent C and its role in Reaction 3. (2 marks)

Answer

(a) Reagent: NaOH(aq); Conditions: Heat under reflux.<br>(b) Reagent B: Acidified potassium dichromate solution; Color change: Orange to green.<br>(c) Reagent C: Concentrated sulfuric acid; Role: Catalyst and dehydrating agent.

Worked solution

(a) Reaction 1 is nucleophilic substitution. The halogenoalkane is converted to alcohol using aqueous sodium hydroxide (\(\text{NaOH}(aq)\)) or aqueous potassium hydroxide (\(\text{KOH}(aq)\)) under heating / reflux conditions.
(b) Reaction 2 is oxidation of primary alcohol to carboxylic acid. Reagent B is acidified potassium dichromate solution (\(\text{K}_2\text{Cr}_2\text{O}_7 / \text{H}^+(aq)\)), which oxidizes propan-1-ol to propanoic acid. The orange dichromate ion (\(\text{Cr}_2\text{O}_7^{2-}\)) is reduced to green chromium(III) ion (\(\text{Cr}^{3+}\)), giving a color change from orange to green.
(c) Reaction 3 is esterification. Reagent C is concentrated sulfuric acid (\(\text{H}_2\text{SO}_4\)), which acts as a catalyst to speed up the reaction and as a dehydrating agent to shift the equilibrium position to the right.

Marking scheme

(a) [1 mark] for \(\text{NaOH}(aq)\) or \(\text{KOH}(aq)\) (reject NaOH without state, reject dilute sulfuric acid); [1 mark] for heating under reflux.
(b) [1 mark] for acidified potassium dichromate solution / \(\text{K}_2\text{Cr}_2\text{O}_7 / \text{H}^+(aq)\) (accept acidified potassium permanganate / \(\text{KMnO}_4 / \text{H}^+(aq)\)); [1 mark] for orange to green (or purple to colorless if permanganate is used).
(c) [1 mark] for concentrated sulfuric acid / conc. \(\text{H}_2\text{SO}_4\) (reject sulfuric acid without "concentrated"); [1 mark] for catalyst / dehydrating agent.

Paper 2 Section A (Industrial Chemistry)

Answer ALL parts of the question. Show your calculations where necessary.
1 Question · 20 marks
Question 1 · Structured
20 marks
Answer ALL parts of the question. Show your calculations where necessary.

(a) Carbon dioxide hydrogenation to methanol is a promising pathway for \(\text{CO}_2\) utilization. The rate constants (\(k\)) for this catalytic reaction were measured at two different temperatures:
At \(500\text{ K}\), \(k_1 = 2.5 \times 10^{-3}\text{ s}^{-1}\)
At \(550\text{ K}\), \(k_2 = 1.5 \times 10^{-2}\text{ s}^{-1}\)

(i) Calculate the activation energy (\(E_a\)) for this reaction in \(\text{kJ mol}^{-1}\).
(Given: Gas constant \(R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}\)) (4 marks)

(ii) Sketch a Maxwell-Boltzmann distribution curve of molecular kinetic energies at \(500\text{ K}\) and \(550\text{ K}\). Explain how the change in temperature affects the rate of reaction. (3 marks)

(b) The equation for the synthesis of methanol from carbon dioxide is:

\(\text{CO}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons \text{CH}_3\text{OH}(\text{g}) + \text{H}_2\text{O}(\text{g}) \quad \Delta H = -49.5\text{ kJ mol}^{-1}\)

(i) Predict and explain the effects of increasing the temperature and increasing the pressure on the equilibrium yield of methanol. (4 marks)

(ii) In industry, the reaction is typically carried out at a compromise temperature of \(250^\circ\text{C}\) and a pressure of \(50\text{ atm}\). Explain why these conditions are used by considering kinetic, thermodynamic, and economic/safety factors. (3 marks)

(c) Methanol can be synthesized via different industrial pathways:

Pathway 1: \(\text{CO}(\text{g}) + 2\text{H}_2(\text{g}) \rightarrow \text{CH}_3\text{OH}(\text{g})\)

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

(i) Calculate the atom economy of both Pathway 1 and Pathway 2 for the synthesis of methanol.
(Relative atomic masses: \(\text{H} = 1.0\), \(\text{C} = 12.0\), \(\text{O} = 16.0\)) (3 marks)

(ii) Even though Pathway 2 has a lower atom economy, explain why it is preferred in terms of green chemistry principles. (2 marks)

(iii) The copper-based catalyst used in this process is easily poisoned by trace amounts of sulfur compounds (such as \(\text{H}_2\text{S}\)) present in the reactant gas mixture.

(1) Explain, in terms of activation energy, how a catalyst increases the reaction rate. (1 mark)

(2) State how sulfur compounds "poison" the catalyst, and suggest one method to prevent this in the industrial process. (2 marks)

Answer

E_a = 81.9 kJ mol^-1; Atom economy of Pathway 1 = 100%, Pathway 2 = 64.0%

Worked solution

(a) (i)
Using the Arrhenius equation:
\(\ln\left(\frac{k_2}{k_1}\right) = \frac{E_a}{R}\left(\frac{1}{T_1} - \frac{1}{T_2}\right)\)
Substitute the values into the equation:
\(\ln\left(\frac{1.5 \times 10^{-2}}{2.5 \times 10^{-3}}\right) = \frac{E_a}{8.31}\left(\frac{1}{500} - \frac{1}{550}\right)\)
\(\ln(6) = \frac{E_a}{8.31}\left(2.00 \times 10^{-3} - 1.818 \times 10^{-3}\right)\)
\(1.7918 = \frac{E_a}{8.31}\left(1.818 \times 10^{-4}\right)\)
\(E_a = \frac{1.7918 \times 8.31}{1.818 \times 10^{-4}} = 81892\text{ J mol}^{-1}\)
\(E_a = 81.9\text{ kJ mol}^{-1}\) (or \(82\text{ kJ mol}^{-1}\))

(ii)
- Sketch:
- Axes correctly labeled: Y-axis as "Fraction of molecules" (or "Number of molecules with energy E"), X-axis as "Kinetic energy".
- The curve for \(550\text{ K}\) is flattened and shifted to the right compared to the curve for \(500\text{ K}\).
- The activation energy \(E_a\) is indicated on the X-axis, showing a larger shaded area (fraction of molecules) under the curve at \(550\text{ K}\) than at \(500\text{ K}\).
- Explanation: At a higher temperature (\(550\text{ K}\)), the average kinetic energy of the molecules increases. Thus, a larger fraction of molecules have kinetic energy equal to or greater than the activation energy (\(E \ge E_a\)), leading to an increased frequency of effective collisions, and hence a faster reaction rate.

(b) (i)
- Temperature: Since the forward reaction is exothermic (\(\Delta H < 0\)), increasing the temperature shifts the equilibrium position to the left (reactant side) to absorb the added heat. Thus, the equilibrium yield of methanol decreases.
- Pressure: There are 4 moles of gas reactants (\(1\text{ CO}_2 + 3\text{ H}_2\)) and 2 moles of gas products (\(1\text{ CH}_3\text{OH} + 1\text{ H}_2\text{O}\)). Increasing pressure shifts the equilibrium position to the right (product side) to reduce the total number of gas molecules and relieve the pressure. Thus, the equilibrium yield of methanol increases.

(ii)
- Kinetic factor: High temperature is needed to obtain a high rate of reaction so that equilibrium is reached quickly.
- Thermodynamic factor: Low temperature is favored for high equilibrium yield of methanol (as the forward reaction is exothermic). Hence, \(250^\circ\text{C}\) is a compromise temperature between reaction rate and yield.
- Economic/Safety factor: High pressure increases both reaction rate and equilibrium yield, but extremely high pressures require expensive thick-walled reactors, high compression energy costs, and pose safety hazards. \(50\text{ atm}\) is a compromise pressure balancing yield against equipment costs and safety.

(c) (i)
Molar mass of desired product (\(CH_3OH\)) = \(12.0 + (1.0 \times 4) + 16.0 = 32.0\text{ g mol}^{-1}\)
- Pathway 1:
Total mass of reactants = \(M(CO) + 2 \times M(H_2) = (12.0 + 16.0) + 2 \times (2.0) = 32.0\text{ g mol}^{-1}\)
\(\text{Atom economy} = \frac{32.0}{32.0} \times 100\% = 100\%\)
- Pathway 2:
Total mass of reactants = \(M(CO_2) + 3 \times M(H_2) = (12.0 + 16.0 \times 2) + 3 \times (2.0) = 50.0\text{ g mol}^{-1}\)
\(\text{Atom economy} = \frac{32.0}{50.0} \times 100\% = 64.0\%\)

(ii)
- Pathway 2 utilizes carbon dioxide (\(\text{CO}_2\)), which is a major greenhouse gas and industrial waste, thus contributing to carbon capture and reducing global warming.
- In contrast, \(\text{CO}\) in Pathway 1 is highly toxic and typically derived from non-renewable fossil fuels. Additionally, if the hydrogen gas (\(\text{H}_2\)) is obtained from water electrolysis powered by renewable energy, Pathway 2 enables a carbon-neutral cycle.

(iii) (1)
A catalyst increases the reaction rate by providing an alternative reaction pathway with a lower activation energy.

(iii) (2)
- Catalyst poisoning: Sulfur compounds (e.g., \(\text{H}_2\text{S}\)) adsorb strongly and irreversibly onto the active sites on the copper catalyst surface, blocking the reactants from accessing these active sites.
- Prevention: Pre-treat the feed gases by passing them through a desulfurization bed (such as a zinc oxide guard bed) to remove sulfur impurities before they reach the catalyst.

Marking scheme

(a) (i)
- Correct Arrhenius equation formula (1)
- Correct substitution of values into formula (1)
- Correct calculation of E_a in Joules (81892 J mol^-1) (1)
- Correct conversion to kJ mol^-1 with appropriate decimal/sig figs and unit (81.9 or 82 kJ mol^-1) (1)

(ii)
- Correctly labeled axes AND correct shifting of 550 K curve (lower peak, shifted to the right) with E_a marked (2)
- Explanation based on collision theory: higher temperature increases fraction of molecules with E >= Ea, leading to increased frequency of effective collisions (1)

(b) (i)
- Predicts and explains decrease in yield with temperature based on Le Chatelier's Principle / exothermic nature (2)
- Predicts and explains increase in yield with pressure based on change in number of gaseous moles (2)

(ii)
- Explains 250 °C as a compromise between rate (favored by high T) and yield (favored by low T) (2)
- Explains 50 atm as a compromise between rate/yield (favored by high P) and economic/safety costs (1)

(c) (i)
- Correct calculation of molar mass of desired product and reactants (1)
- Correct atom economy for Pathway 1 (100%) with steps (1)
- Correct atom economy for Pathway 2 (64.0%) with steps (1)

(ii)
- Mentions CO2 utilization/mitigating greenhouse effect/greenhouse gas reduction (1)
- Mentions toxic nature of CO / non-renewability of fossil sources for Pathway 1 OR potential carbon-neutrality with green hydrogen (1)

(iii) (1)
- Mentions alternative pathway with lower activation energy (1)

(iii) (2)
- Explains irreversible strong adsorption / blocking of active sites (1)
- Suggests removal of sulfur prior to reaction / using ZnO guard bed (1)

Paper 2 Section C (Analytical Chemistry)

Answer ALL parts of the question. Show your calculations where necessary.
1 Question · 20 marks
Question 1 · Structured
20 marks
An analytical chemist is investigating the purity of a solvent and analyzing an industrial wastewater effluent. This question consists of three parts.

**Part (a) (8 marks)**
An organic compound \(A\) is a common solvent used in cosmetics. It has the molecular formula \(C_4H_8O_2\).
(i) Describe a chemical test to distinguish whether \(A\) is a carboxylic acid or an ester. (2 marks)
(ii) The infrared (IR) spectrum of \(A\) shows a strong absorption band at \(1740\text{ cm}^{-1}\) but no broad absorption band in the region \(2500 - 3300\text{ cm}^{-1}\).
(1) What functional group is present in \(A\) based on this information? (1 mark)
(2) Explain why the absence of a broad band in the region \(2500 - 3300\text{ cm}^{-1}\) rules out certain isomers of \(C_4H_8O_2\). (1 mark)
(iii) The mass spectrum of \(A\) shows a base peak at \(m/z = 43\), and other prominent peaks at \(m/z = 88\) (molecular ion peak) and \(m/z = 61\).
(1) Suggest the structure of the species responsible for the peak at \(m/z = 43\). (1 mark)
(2) Deduce the structural formula of \(A\). Explain your reasoning. (3 marks)

**Part (b) (7 marks)**
A chemist determines the concentration of \(\text{Cr}_2\text{O}_7^{2-}(aq)\) ions in an industrial wastewater sample using colorimetry.
(i) Explain why \(\text{Cr}_2\text{O}_7^{2-}(aq)\) can be analyzed quantitatively using colorimetry. (1 mark)
(ii) Briefly explain how a colorimeter works and why a complementary filter is chosen for this analysis. (2 marks)
(iii) The chemist prepared a series of standard solutions of \(\text{Cr}_2\text{O}_7^{2-}(aq)\) and measured their absorbances. The calibration curve obtained is represented by the equation:
\[A = 1540 \times C\]
where \(A\) is the absorbance and \(C\) is the concentration of \(\text{Cr}_2\text{O}_7^{2-}(aq)\) in \(\text{mol dm}^{-3}\).
A \(10.0\text{ cm}^3\) sample of the wastewater was diluted to \(250.0\text{ cm}^3\) in a volumetric flask. The absorbance of this diluted solution was measured to be \(0.462\).
(1) Calculate the concentration of \(\text{Cr}_2\text{O}_7^{2-}(aq)\) in the diluted solution. (1 mark)
(2) Calculate the concentration of \(\text{Cr}_2\text{O}_7^{2-}(aq)\) in the original wastewater sample. (2 marks)
(3) State one advantage of using colorimetry over volumetric titration for this analysis. (1 mark)

**Part (c) (5 marks)**
Thin-layer chromatography (TLC) was used to check the purity of a synthesized sample of aspirin (acetylsalicylic acid).
(i) Describe how a TLC plate is prepared and developed to separate the components in the sample. (3 marks)
(ii) Explain how the components can be visualized on the TLC plate, given that aspirin and its impurities are colorless. (1 mark)
(iii) After development, the solvent front traveled \(8.0\text{ cm}\) from the start line. A spot corresponding to aspirin traveled \(3.6\text{ cm}\). Calculate the \(R_f\) value of aspirin. (1 mark)

Answer

Part (a): (i) Add NaHCO3(aq), bubbles for carboxylic acid, no change for ester. (ii)(1) C=O group. (ii)(2) O-H in carboxylic acids absorbs in 2500-3300 cm^-1. (iii)(1) CH3CO+. (iii)(2) CH3COOCH2CH3. Part (b): (i) Cr2O7^2-(aq) is orange and obeys Beer-Lambert Law. (ii) Measures absorbance; complementary filter maximizes sensitivity. (iii)(1) 3.0 x 10^-4 mol dm^-3. (iii)(2) 7.5 x 10^-3 mol dm^-3. (iii)(3) Higher sensitivity. Part (c): (i) Pencil start line, spot sample, develop with solvent level below line. (ii) UV light. (iii) Rf = 0.45.

Worked solution

**Part (a)**
(i) Add \(\text{NaHCO}_3(aq)\) or \(\text{Na}_2\text{CO}_3(aq)\) to the sample. A carboxylic acid will react to produce carbon dioxide gas (bubbles), whereas an ester will not show any observable reaction.
(ii) (1) \(\text{C=O}\) (carbonyl) group.
(2) Carboxylic acids contain an \(\text{O-H}\) group which gives a broad absorption band in the region \(2500 - 3300\text{ cm}^{-1}\). The absence of this band rules out all carboxylic acid isomers (e.g., butanoic acid).
(iii) (1) \(\text{CH}_3\text{CO}^+\)
(2) Since \(A\) has the molecular formula \(C_4H_8O_2\) and is an ester, it must be methyl propanoate, ethyl ethanoate, propyl methanoate, or isopropyl methanoate. The base peak at \(m/z = 43\) corresponds to the acylium ion \(\text{CH}_3\text{CO}^+\), indicating the presence of a \(\text{CH}_3\text{CO}-\) group. The peak at \(m/z = 61\) is due to the protonated acid species \([\text{CH}_3\text{COOH}_2]^+\), which is formed by the elimination of ethene (mass 28) from the molecular ion of ethyl ethanoate (\(M^+ = 88\)). Therefore, the structural formula of \(A\) is \(\text{CH}_3\text{COOCH}_2\text{CH}_3\) (ethyl ethanoate).

**Part (b)**
(i) \(\text{Cr}_2\text{O}_7^{2-}(aq)\) is orange-colored and absorbs visible light. Its absorbance is directly proportional to its concentration (obeys the Beer-Lambert Law).
(ii) A colorimeter measures the intensity of light of a specific wavelength passing through a sample solution compared to a reference blank. A complementary filter is chosen because it allows the wavelength of light that is most strongly absorbed by the analyte (blue light for orange dichromate) to pass through, maximizing the sensitivity of the measurement.
(iii) (1) \(C = \frac{A}{1540} = \frac{0.462}{1540} = 3.0 \times 10^{-4}\text{ mol dm}^{-3}\)
(2) Dilution factor = \(\frac{250.0\text{ cm}^3}{10.0\text{ cm}^3} = 25\)
Original concentration = \(3.0 \times 10^{-4} \times 25 = 7.5 \times 10^{-3}\text{ mol dm}^{-3}\)
(3) Colorimetry is much faster, has higher sensitivity (can measure lower concentrations), and is non-destructive.

**Part (c)**
(i) Draw a starting line using a pencil on the TLC plate and spot a small amount of the sample on this line. Place the plate vertically inside a developing chamber containing a suitable solvent, ensuring the solvent level is below the start line. Cover the chamber with a lid and allow the solvent to ascend near the top of the plate, then remove and mark the solvent front.
(ii) View the TLC plate under ultraviolet (UV) light, or place the plate in a sealed container with iodine crystals to visualize the spots.
(iii) \(R_f = \frac{3.6\text{ cm}}{8.0\text{ cm}} = 0.45\)

Marking scheme

**Part (a) (8 marks)**
(i) Add \(\text{NaHCO}_3(aq)\) or \(\text{Na}_2\text{CO}_3(aq)\) to the sample. [1M]
Carboxylic acid gives bubbles (or effervescence), while ester gives no observable change. [1M]
(ii) (1) \(\text{C=O}\) stretching / carbonyl group / ester group [1M]
(2) Carboxylic acids contain an \(\text{O-H}\) group which absorbs in the region \(2500 - 3300\text{ cm}^{-1}\). [1M]
(iii) (1) \(\text{CH}_3\text{CO}^+\) (formula and charge must be correct) [1M]
(2)
- States that \(A\) is an ester and identifies possible isomers (methyl propanoate, ethyl ethanoate, etc.). [1M]
- Attributes \(m/z = 43\) to \(\text{CH}_3\text{CO}^+\) or explains the loss of 28 (ethene) from \(M^+\) (88) to form \(m/z = 61\) (protonated ethanoic acid), which indicates an ethyl ester. [1M]
- Correctly identifies \(A\) as ethyl ethanoate, \(\text{CH}_3\text{COOCH}_2\text{CH}_3\). [1M]

**Part (b) (7 marks)**
(i) \(\text{Cr}_2\text{O}_7^{2-}(aq)\) is colored / absorbs visible light, and its absorbance is proportional to its concentration. [1M]
(ii)
- A colorimeter measures the intensity of light passing through the sample and compares it to a blank. [1M]
- A complementary filter selects light of the wavelength most strongly absorbed by the analyte, maximizing sensitivity. [1M]
(iii) (1) \(C = 3.0 \times 10^{-4}\text{ mol dm}^{-3}\) [1M]
(2)
- Correct dilution factor of 25. [1M]
- Correct calculation of original concentration = \(7.5 \times 10^{-3}\text{ mol dm}^{-3}\) (with unit). [1M]
(3) Any one of the following: faster / non-destructive / higher sensitivity (can measure lower concentrations) / suitable for continuous monitoring. [1M]

**Part (c) (5 marks)**
(i)
- Draw a starting line with pencil and spot the sample on it. [1M]
- Place the plate in a development chamber, ensuring the solvent level is below the starting line. [1M]
- Cover with a lid, allow solvent to ascend and mark the solvent front. [1M]
(ii) Visualize under UV light / in an iodine chamber. [1M]
(iii) \(R_f = 0.45\) (accept \(0.45\) or \(9/20\), no unit) [1M]