Which of the following processes does NOT involve oxidation or reduction?
- A.Reaction of chlorine with cold sodium hydroxide solution.
- B.Action of concentrated sulfuric acid on sodium chloride.
- C.Thermal decomposition of copper(II) nitrate.
- D.Action of hot concentrated nitric acid on carbon.
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.
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 (\(\text{C}_2\text{H}_5\text{OH(l)}\))?
- A.\(-277.1\text{ kJ mol}^{-1}\)
- B.\(+277.1\text{ kJ mol}^{-1}\)
- C.\(-688.0\text{ kJ mol}^{-1}\)
- D.\(+688.0\text{ kJ mol}^{-1}\)
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.
Which of the following combinations of reagents and conditions is most suitable for converting propan-1-ol to propan-2-ol?
- 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 \(\text{H}^+\)
- B.Step 1: Reflux with acidified \(\text{K}_2\text{Cr}_2\text{O}_7\text{(aq)}\); Step 2: React with \(\text{NaBH}_4\)
- C.Step 1: Reflux with concentrated \(\text{HCl}\text{(aq)}\) in the presence of anhydrous \(\text{ZnCl}_2\); Step 2: Heat with \(\text{NaOH}\text{(aq)}\)
- D.Step 1: React with \(\text{PBr}_3\); Step 2: Heat with \(\text{KOH(aq)}\)
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.
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)?
- A.\(Y > X > Z\)
- B.\(Y > Z > X\)
- C.\(X > Y > Z\)
- D.\(Z > Y > X\)
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.
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 \(R = 8.31\text{ J mol}^{-1}\text{ K}^{-1}\))
- A.\(55.3\text{ kJ mol}^{-1}\)
- B.\(110.6\text{ kJ mol}^{-1}\)
- C.\(23.0\text{ kJ mol}^{-1}\)
- D.\(5.53\text{ kJ mol}^{-1}\)
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.
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.
- A.(1) only
- B.(2) only
- C.(1) and (3) only
- D.(2) and (3) only
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.
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 \(\text{CaCO}_3 = 100.1\text{ g mol}^{-1}\))
- A.73.4%
- B.83.4%
- C.36.7%
- D.93.4%
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.
Which of the following pairs of compounds cannot be distinguished by identifying characteristic functional group absorptions in infrared (IR) spectroscopy alone?
- A.Ethanol and ethanoic acid
- B.Propan-1-ol and propanal
- C.Ethanoic acid and ethyl ethanoate
- D.Methyl propanoate and ethyl ethanoate
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.
Which of the following groups of species all have a trigonal planar shape?
- A.\(\text{BF}_3\), \(\text{CO}_3^{2-}\), \(\text{NO}_3^-\)
- B.\(\text{NH}_3\), \(\text{PCl}_3\), \(\text{H}_3\text{O}^+\)
- C.\(\text{CH}_4\), \(\text{SiF}_4\), \(\text{NH}_4^+\)
- D.\(\text{O}_3\), \(\text{SO}_2\), \(\text{NO}_2^-\)
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.
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: \(\text{H} = 1.0\), \(\text{C} = 12.0\), \(\text{O} = 16.0\))
- A.64.5%
- B.44.1%
- C.84.5%
- D.35.5%
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.
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 (\( \text{C}_2\text{H}_5\text{OH(l)} \))?
- A.\( -1366.8 \text{ kJ mol}^{-1} \)
- B.\( -956.8 \text{ kJ mol}^{-1} \)
- C.\( -401.7 \text{ kJ mol}^{-1} \)
- D.\( -1921.8 \text{ kJ mol}^{-1} \)
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: \( 2 \times \Delta H_1 + 3 \times \Delta H_2 - \Delta H_3 \).
Which of the following processes involves an oxidation in which the oxidation number of sulfur increases by exactly 4?
- A.Burning sulfur in excess oxygen to form sulfur dioxide.
- B.Reaction of hydrogen sulfide with sulfur dioxide to form sulfur.
- C.Reaction of sulfur dioxide with acidified potassium dichromate(VI) solution.
- D.Reaction of copper with concentrated sulfuric acid to produce sulfur dioxide.
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.
What is the systematic IUPAC name of the compound below?
\( \text{CH}_3\text{CH(CH}_3\text{)C(CH}_3\text{)=CHCH}_3 \)
- A.2,3-dimethylpent-3-ene
- B.3,4-dimethylpent-2-ene
- C.2,3-dimethylpent-2-ene
- D.1,2,3-trimethylbut-2-ene
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.
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 \( X \)?
- A.\( \text{CH}_3\text{CH}_2\text{CH}_2\text{CHO} \)
- B.\( \text{CH}_3\text{CH(OH)CH=CH}_2 \)
- C.\( \text{CH}_3\text{COCH}_2\text{CH}_3 \)
- D.\( \text{CH}_2\text{=CHCH}_2\text{CH}_2\text{OH} \)
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.
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 \( R = 8.31 \text{ J mol}^{-1}\text{ K}^{-1} \))
- A.\( 1.44 \text{ kJ mol}^{-1} \)
- B.\( 14.4 \text{ kJ mol}^{-1} \)
- C.\( 99.7 \text{ kJ mol}^{-1} \)
- D.\( 997 \text{ kJ mol}^{-1} \)
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.
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: \( \text{H} = 1.0 \), \( \text{C} = 12.0 \), \( \text{O} = 16.0 \))
- A.Route 1 is greener because its atom economy is 64.5%, compared to 44.1% for Route 2.
- B.Route 2 is greener because its atom economy is 64.5%, compared to 44.1% for Route 1.
- C.Route 1 is greener because its atom economy is 55.9%, compared to 35.5% for Route 2.
- D.Route 2 is greener because its atom economy is 82.1%, compared to 17.9% for Route 1.
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.
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:
\( \text{OCl}^- + 2\text{I}^- + 2\text{H}^+ \rightarrow \text{Cl}^- + \text{I}_2 + \text{H}_2\text{O} \)
\( \text{I}_2 + 2\text{S}_2\text{O}_3^{2-} \rightarrow 2\text{I}^- + \text{S}_4\text{O}_6^{2-} \))
- A.\( 0.0448 \text{ mol dm}^{-3} \)
- B.\( 0.224 \text{ mol dm}^{-3} \)
- C.\( 0.448 \text{ mol dm}^{-3} \)
- D.\( 0.896 \text{ mol dm}^{-3} \)
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.
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?
- A.The molecular ion peak occurs at \( m/z = 60 \).
- B.It shows a prominent peak at \( m/z = 45 \), corresponding to the species \( [\text{COOH}]^+ \).
- C.It shows a prominent peak at \( m/z = 43 \), corresponding to the species \( [\text{C}_3\text{H}_7]^+ \).
- D.There is a prominent peak at \( m/z = 15 \) due to the loss of a water molecule.
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.
Which of the following mixtures, when heated strongly, will undergo a displacement reaction?
- A.\( \text{MgO} \) and \( \text{Fe} \)
- B.\( \text{Al}_2\text{O}_3 \) and \( \text{Cu} \)
- C.\( \text{Fe}_2\text{O}_3 \) and \( \text{Al} \)
- D.\( \text{ZnO} \) and \( \text{Pb} \)
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.
Which of the following molecules / ions has the same shape as the hydronium ion (\( \text{H}_3\text{O}^+ \))?
- A.\( \text{BF}_3 \)
- B.\( \text{PCl}_3 \)
- C.\( \text{CO}_3^{2-} \)
- D.\( \text{ClF}_3 \)
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.
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 \(298\text{ K}\)?
- A.-103.7 kJ mol^{-1}
- B.-1540.7 kJ mol^{-1}
- C.+103.7 kJ mol^{-1}
- D.+1540.7 kJ mol^{-1}
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.
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.
- A.(1) only
- B.(1) and (2) only
- C.(2) and (3) only
- D.(1), (2) and (3)
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.
What is the IUPAC name of the compound with the following structure? \(\text{ClCH}_2\text{CH}=\text{CHCH(CH}_3)_2\)
- A.5-chloro-2-methylpent-3-ene
- B.1-chloro-4-methylpent-2-ene
- C.1-chloro-4,4-dimethylbut-2-ene
- D.4-isopropyl-1-chlorobut-2-ene
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.
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?
- A.propan-1-ol
- B.propan-2-ol
- C.propanoic acid
- D.ethyl propanoate
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.
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: \(C = 12.0\), \(O = 16.0\), \(Ca = 40.1\))
- A.20.8%
- B.41.6%
- C.83.3%
- D.91.6%
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.
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 \(R = 8.314\text{ J mol}^{-1}\text{ K}^{-1}\))
- A.99.8 kJ mol^{-1}
- B.1.44 kJ mol^{-1}
- C.12.0 kJ mol^{-1}
- D.99.8 J mol^{-1}
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.
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: \(H = 1.0\), \(C = 12.0\), \(N = 14.0\), \(O = 16.0\))
- A.30.8%
- B.44.4%
- C.69.2%
- D.100%
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.
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?
- A.propan-1-ol
- B.propan-2-ol
- C.2-methylpropan-2-ol
- D.propanoic acid
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.
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?
- A.P > Q > R
- B.P > R > Q
- C.Q > P > R
- D.R > Q > P
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.
Which of the following pairs of chemical species has the same molecular / ionic shape?
- A.BF3 and NH3
- B.CH4 and NH4+
- C.H2O and CO2
- D.PCl3 and BF3
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.
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 (\(\text{C}_2\text{H}_2\text{(g)}\))?
- A.-226.6 kJ mol^-1
- B.+113.3 kJ mol^-1
- C.+226.6 kJ mol^-1
- D.+453.2 kJ mol^-1
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.
In which of the following species does vanadium have an oxidation number of +4?
(1) \(\text{VO}^{2+}\)
(2) \(\text{VO}_2\)
(3) \(\text{VCl}_4\)
- A.(1) and (2) only
- B.(1) and (3) only
- C.(2) and (3) only
- D.(1), (2) and (3)
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.
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?
- A.Carboxylic acids
- B.Esters
- C.Diols
- D.Alcohols
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.
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
- A.(1) only
- B.(1) and (2) only
- C.(2) and (3) only
- D.(1), (2) and (3)
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.
How many acyclic structural isomers (excluding stereoisomers) exist for the compound with the molecular formula \(\text{C}_3\text{H}_5\text{Cl}_3\)?
- A.4
- B.5
- C.6
- D.7
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.
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?
- A.Rinsing the pipette with distilled water only before transferring the sodium carbonate solution.
- B.Rinsing the conical flask with the sodium carbonate solution before the titration.
- C.Rinsing the burette with distilled water only before filling it with the hydrochloric acid solution.
- D.Leaving an air bubble in the tip of the burette which is dislodged during the titration.
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.