An original Thinka practice paper modelled on the structure and difficulty of the Jan 2023 Cambridge International A Level Chemistry (9620) paper. Not affiliated with or reproduced from Cambridge.
Section Unit 1
Answer all questions in the spaces provided. Period table and data sheet are provided as an insert.
6 Question · 70.02 marks
Question 1 · Structured
11.67 marks
[Part a] Define the term enthalpy of lattice formation. [Part b] Use the data below to calculate the enthalpy of lattice formation (\(\Delta H_{L}^{\ominus}\)) for calcium chloride, \(\text{CaCl}_2(\text{s})\). Enthalpy of atomisation of calcium = \(+178\text{ kJ mol}^{-1}\); First ionisation energy of calcium = \(+590\text{ kJ mol}^{-1}\); Second ionisation energy of calcium = \(+1145\text{ kJ mol}^{-1}\); Enthalpy of atomisation of chlorine = \(+121\text{ kJ mol}^{-1}\); First electron affinity of chlorine = \(-348\text{ kJ mol}^{-1}\); Standard enthalpy of formation of calcium chloride = \(-796\text{ kJ mol}^{-1}\). [Part c] Explain why the experimental lattice enthalpy of calcium chloride is very close to the theoretical value calculated using a purely ionic model, whereas the experimental and theoretical lattice enthalpies for zinc iodide (\(\text{ZnI}_2\)) differ significantly.
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Worked solution
[Part a] Standard definition: The enthalpy change when 1 mole of an ionic crystal lattice is formed from its constituent gaseous ions under standard conditions. [Part b] Applying Hess's Law: \(\Delta H_{f}^{\ominus} = \Delta H_{at}^{\ominus}(\text{Ca}) + \text{IE}_1(\text{Ca}) + \text{IE}_2(\text{Ca}) + 2 \times \Delta H_{at}^{\ominus}(\text{Cl}) + 2 \times \text{EA}_1(\text{Cl}) + \Delta H_{L}^{\ominus}\). Substituting the values: \(-796 = 178 + 590 + 1145 + 2(121) + 2(-348) + \Delta H_{L}^{\ominus}\). \(-796 = 178 + 590 + 1145 + 242 - 696 + \Delta H_{L}^{\ominus}\). \(-796 = 1459 + \Delta H_{L}^{\ominus}\). \Delta H_{L}^{\ominus} = -796 - 1459 = -2255\text{ kJ mol}^{-1}. [Part c] Calcium chloride is almost purely ionic because the calcium ion has relatively low polarizing power and the chloride ion has low polarizability, resulting in experimental and theoretical values that align well. In zinc iodide, the zinc ion (\(\text{Zn}^{2+}\)) has high polarizing power due to high charge density, and the iodide ion (\(\text{I}^{-}\)) is highly polarizable due to its large size. This leads to electron density being drawn between the nuclei, giving the bonding significant covalent character and causing a large difference between experimental and theoretical lattice enthalpies.
Marking scheme
[Part a] 2 marks: 1 mark for '1 mole of solid ionic lattice is formed from gaseous ions', 1 mark for 'under standard conditions'. [Part b] 6 marks: 1 mark for correct expression/Born-Haber cycle setup; 1 mark for multiplying atomisation of chlorine by 2 (242); 1 mark for multiplying electron affinity of chlorine by 2 (-696); 1 mark for summing the endothermic steps correctly (1459); 1 mark for correct arithmetic process; 1 mark for correct final answer with units (-2255 kJ mol^-1). [Part c] 3.67 marks: 1 mark for stating calcium chloride is almost purely ionic; 1.67 marks for explaining zinc iodide has covalent character due to polarization of the iodide ion by the Zn2+ ion; 1 mark for stating polarization is caused by high charge density of Zn2+ or large size of I-.
Question 2 · Structured
11.67 marks
[Part a] Calculate the standard enthalpy change (\(\Delta H^{\ominus}\)) at 298 K for the reaction: \(\text{ZnO(s)} + \text{C(s)} \to \text{Zn(s)} + \text{CO(g)}\) using the following standard enthalpies of formation: \(\Delta H_{f}^{\ominus}(\text{ZnO(s)}) = -348\text{ kJ mol}^{-1}\), \(\Delta H_{f}^{\ominus}(\text{CO(g)}) = -111\text{ kJ mol}^{-1}\). [Part b] Calculate the standard entropy change (\(\Delta S^{\ominus}\)) for this reaction at 298 K using the following standard entropies: \(S^{\ominus}(\text{ZnO(s)}) = 44\text{ J K}^{-1}\text{ mol}^{-1}\), \(S^{\ominus}(\text{C(s)}) = 6\text{ J K}^{-1}\text{ mol}^{-1}\), \(S^{\ominus}(\text{Zn(s)}) = 42\text{ J K}^{-1}\text{ mol}^{-1}\), \(S^{\ominus}(\text{CO(g)}) = 198\text{ J K}^{-1}\text{ mol}^{-1}\). [Part c] Calculate the minimum temperature, in Kelvin, above which this reaction becomes feasible. [Part d] Explain, in terms of the Gibbs free energy equation, why this reaction is not feasible at low temperatures but becomes feasible at high temperatures.
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Worked solution
[Part a] \(\Delta H^{\ominus} = \sum \Delta H_{f}^{\ominus}(\text{products}) - \sum \Delta H_{f}^{\ominus}(\text{reactants}) = [0 + (-111)] - [-348 + 0] = -111 + 348 = +237\text{ kJ mol}^{-1}\). [Part b] \(\Delta S^{\ominus} = \sum S^{\ominus}(\text{products}) - \sum S^{\ominus}(\text{reactants}) = [42 + 198] - [44 + 6] = 240 - 50 = +190\text{ J K}^{-1}\text{ mol}^{-1}\). [Part c] Reaction is feasible when \(\Delta G^{\ominus} \le 0\). At the temperature boundary: \(\Delta G^{\ominus} = \Delta H^{\ominus} - T\Delta S^{\ominus} = 0\). \(T = \frac{\Delta H^{\ominus}}{\Delta S^{\ominus}} = \frac{237 \times 10^3\text{ J mol}^{-1}}{190\text{ J K}^{-1}\text{ mol}^{-1}} = 1247.37\text{ K}\). Rounding to three significant figures gives 1250 K (or 1247 K). [Part d] Referencing \(\Delta G = \Delta H - T\Delta S\), since both \(\Delta H\) and \(\Delta S\) are positive, the \(-T\Delta S\) term is negative. At low temperatures, \(|T\Delta S| < |\Delta H|\), so \(\Delta G\) is positive and the reaction is not feasible. At high temperatures, the \(-T\Delta S\) term dominates, making \(\Delta G\) negative and the reaction feasible.
Marking scheme
[Part a] 2 marks: 1 mark for correct method of calculation (products - reactants); 1 mark for correct answer with sign (+237 kJ mol^-1). [Part b] 3 marks: 1 mark for correct expression of S (products - reactants); 1 mark for correct values substituted (240 - 50); 1 mark for correct final answer with units (+190 J K^-1 mol^-1). [Part c] 4 marks: 1 mark for stating condition of feasibility (DG <= 0); 1 mark for rearranging equation to T = DH/DS; 1 mark for converting DH to J (237000) or DS to kJ (0.190); 1 mark for correct temperature value (1247 K to 1250 K). [Part d] 2.67 marks: 1 mark for stating that both DH and DS are positive; 1.67 marks for explaining that at low T, DH dominates so DG is positive, but at high T, -T*DS dominates making DG negative.
Question 3 · Structured
11.67 marks
[Part a] State the role of concentrated sulfuric acid in the dehydration of butan-2-ol. [Part b] Write an equation for the dehydration of butan-2-ol to form but-2-ene. [Part c] Describe the mechanism for the acid-catalyzed dehydration of butan-2-ol to form but-2-ene. [Part d] Name and draw the structures of the three isomeric alkenes formed when butan-2-ol is dehydrated. [Part e] Explain why but-2-ene exhibits stereoisomerism, whereas but-1-ene does not.
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Worked solution
[Part a] Concentrated sulfuric acid acts as an acid catalyst (or proton donor). [Part b] \(\text{CH}_3\text{CH(OH)CH}_2\text{CH}_3 \to \text{CH}_3\text{CH=CHCH}_3 + \text{H}_2\text{O}\) (molecular formula \(\text{C}_4\text{H}_9\text{OH} \to \text{C}_4\text{H}_8 + \text{H}_2\text{O}\) is also acceptable). [Part c] The mechanism proceeds as follows: 1) Lone pair of electrons on the oxygen of the OH group attacks the \(\text{H}^+\) ion. 2) The \(\text{C}-\text{O}\) bond breaks as a water molecule is lost, forming a secondary carbocation: \(\text{CH}_3\text{CH}^+\text{CH}_2\text{CH}_3\). 3) A \(\text{C}-\text{H}\) bond on carbon-3 (or carbon-1) breaks, releasing a proton (\(\text{H}^+\)) and donating the pair of electrons to the carbon-carbon bond to form the double bond. [Part d] The three isomers are: 1) But-1-ene, 2) E-but-2-ene (trans-but-2-ene), 3) Z-but-2-ene (cis-but-2-ene). [Part e] Stereoisomerism (specifically E-Z isomerism) arises in but-2-ene because of the restricted rotation about the carbon-carbon double bond, and the fact that both carbons of the double bond are bonded to two different groups (a methyl group and a hydrogen atom). In contrast, but-1-ene has one of its double-bonded carbons bonded to two identical hydrogen atoms, preventing E-Z isomerism.
Marking scheme
[Part a] 1 mark: Catalyst / proton donor. [Part b] 1 mark: Balanced equation with correct formulas. [Part c] 4 marks: 1 mark for curly arrow from lone pair on O to H+; 1 mark for curly arrow from C-O bond to O+; 1 mark for correct structure of secondary carbocation; 1 mark for curly arrow from C-H bond to adjacent C-C bond to reform H+. [Part d] 3.67 marks: 1.67 marks for identifying/naming the three isomers (but-1-ene, E-but-2-ene, Z-but-2-ene); 2 marks for drawing clear structural/displayed formulas of all three. [Part e] 2 marks: 1 mark for mentioning restricted rotation of the double bond; 1 mark for stating that both C atoms in the double bond of but-2-ene are bonded to two different groups, whereas but-1-ene has one carbon bonded to two identical H atoms.
Question 4 · Structured
11.67 marks
[Part a] Ethanol is produced industrially via different routes. (i) State the conditions needed for the fermentation of glucose and write an equation for the reaction. (ii) State the catalyst and conditions used in the industrial hydration of ethene. (iii) Give one advantage and one disadvantage of producing ethanol by fermentation compared to hydration. [Part b] A student oxidizes propan-1-ol to produce propanoic acid. (i) State the reagents and conditions required to ensure the primary alcohol is fully oxidized to the carboxylic acid. (ii) Describe a chemical test (other than spectroscopy) that can be used to distinguish between propanoic acid and propanal, including the expected observations for both compounds.
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Worked solution
[Part a](i) Fermentation of glucose requires yeast (enzymes), anaerobic conditions (no oxygen), and a temperature of \(30-40^{\circ}\text{C}\). The equation is: \(\text{C}_6\text{H}_{12}\text{O}_6 \to 2\text{C}_2\text{H}_5\text{OH} + 2\text{CO}_2\). (ii) Industrial hydration of ethene requires a concentrated phosphoric acid (\(\text{H}_3\text{PO}_4\)) catalyst absorbed on a solid support, a temperature of \(300^{\circ}\text{C}\), and a pressure of \(60-70\text{ atm}\). (iii) Advantage of fermentation: Uses renewable resources (crops containing glucose) and has low energy inputs. Disadvantage: It is a batch process (slow and labor-intensive) and produces a dilute/impure solution that requires fractional distillation to concentrate. [Part b](i) To fully oxidize propan-1-ol to propanoic acid, use acidified potassium dichromate(VI) (\(\text{K}_2\text{Cr}_2\text{O}_7\) in dilute \(\text{H}_2\text{SO}_4\)), heat under reflux, and use an excess of the oxidizing agent. (ii) A suitable chemical test is adding sodium hydrogencarbonate (\(\text{NaHCO}_3\)) solution. Propanoic acid reacts to produce carbon dioxide gas, causing effervescence/bubbling. Propanal does not react (no change). (Alternatively, Tollens' reagent can be used: propanal forms a silver mirror; propanoic acid shows no reaction).
Marking scheme
[Part a](i) 3 marks: 2 marks for any two conditions (yeast / anaerobic / temperature 30-40 °C); 1 mark for correct equation. (ii) 2 marks: 1 mark for phosphoric acid catalyst; 1 mark for high temperature (250-350 °C) / high pressure (50-100 atm). (iii) 2 marks: 1 mark for a valid advantage (e.g. renewable, low energy); 1 mark for a valid disadvantage (e.g. batch process, slow, dilute/impure). [Part b](i) 2.67 marks: 1.67 marks for acidified potassium dichromate(VI) (or K2Cr2O7 and H2SO4); 1 mark for reflux and/or excess oxidizing agent. (ii) 2 marks: 1 mark for a suitable reagent (e.g. NaHCO3 / Na2CO3 or Tollens' reagent); 1 mark for correct observations for both compounds.
Question 5 · Structured
11.67 marks
[Part a] The oxides of Period 3 elements exhibit different structures and chemical behavior. (i) Describe the bonding and structure in silicon dioxide and in sulfur trioxide, and explain how this accounts for the difference in their melting points. (ii) Sodium oxide (\(\text{Na}_2\text{O}\)) reacts vigorously with water. Write an equation for this reaction and state the pH of the resulting solution. (iii) Phosphorus(V) oxide (\(\text{P}_4\text{O}_{10}\)) also reacts with water. Write an equation for this reaction and state the approximate pH of the resulting solution. [Part b] (i) Describe what is observed when silicon tetrachloride (\(\text{SiCl}_4\)) is added to water, and write an equation for the reaction.
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Worked solution
[Part a](i) Silicon dioxide (\(\text{SiO}_2\)) has a macromolecular (giant covalent) structure with strong covalent bonds throughout the giant lattice. To melt it, many strong covalent bonds must be broken, requiring a large amount of energy. Sulfur trioxide (\(\text{SO}_3\)) has a simple molecular structure with weak intermolecular van der Waals forces (and dipole-dipole interactions) between molecules. Melting sulfur trioxide only requires overcoming these weak intermolecular forces, which requires very little energy. (ii) Sodium oxide reacts with water to form sodium hydroxide: \(\text{Na}_2\text{O}(\text{s}) + \text{H}_2\text{O}(\text{l}) \to 2\text{NaOH}(\text{aq})\). The solution is strongly alkaline, with a pH of 13-14. (iii) Phosphorus(V) oxide reacts with water to form phosphoric(V) acid: \(\text{P}_4\text{O}_{10}(\text{s}) + 6\text{H}_2\text{O}(\text{l}) \to 4\text{H}_3\text{PO}_4(\text{aq})\). The solution is strongly acidic, with a pH of 1-2. [Part b](i) When silicon tetrachloride is added to water, it undergoes rapid hydrolysis. Observations: Vigorous reaction, release of misty white fumes of hydrogen chloride gas (\(\text{HCl}\)), and the formation of a white solid precipitate (silicon dioxide/hydrated silica, \(\text{SiO}_2\)). The equation is: \(\text{SiCl}_4(\text{l}) + 2\text{H}_2\text{O}(\text{l}) \to \text{SiO}_2(\text{s}) + 4\text{HCl}(\text{g})\) (or \(\text{SiCl}_4 + 4\text{H}_2\text{O} \to \text{Si(OH)}_4 + 4\text{HCl}\)).
Marking scheme
[Part a](i) 4 marks: 1 mark for describing silicon dioxide as macromolecular/giant covalent with strong covalent bonds; 1 mark for explaining high energy is needed to break these bonds; 1 mark for describing sulfur trioxide as simple molecular with weak intermolecular forces; 1 mark for explaining low energy is needed to overcome these forces. (ii) 2 marks: 1 mark for correct balanced equation; 1 mark for pH 13 or 14. (iii) 2 marks: 1 mark for correct balanced equation; 1 mark for pH 1 or 2. [Part b](i) 3.67 marks: 1.67 marks for observations (1 mark for white fumes, 0.67 marks for white solid); 2 marks for correct balanced equation.
Question 6 · Structured
11.67 marks
[Part a] An organic compound Y contains \(40.0\%\) carbon, \(6.7\%\) hydrogen, and \(53.3\%\) oxygen by mass. (i) Determine the empirical formula of compound Y. (ii) A sample of Y with a mass of \(0.210\text{ g}\) was vaporized at a temperature of \(373\text{ K}\) and a pressure of \(101\text{ kPa}\). The gas occupied a volume of \(71.8\text{ cm}^3\). Using the ideal gas equation (\(pV = nRT\)), calculate the relative molecular mass (\(M_{\text{r}}\)) of Y and hence deduce its molecular formula. (\(R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}\)). [Part b] A student titrated \(25.0\text{ cm}^3\) of a sodium hydroxide solution of unknown concentration against a standard solution of \(0.0500\text{ mol dm}^{-3}\) sulfuric acid (\(\text{H}_2\text{SO}_4\)). The equation for the reaction is: \(\text{H}_2\text{SO}_4(\text{aq}) + 2\text{NaOH}(\text{aq}) \to \text{Na}_2\text{SO}_4(\text{aq}) + 2\text{H}_2\text{O}(\text{l})\). The average titre of sulfuric acid required for neutralization was \(18.40\text{ cm}^3\). Calculate the concentration, in \(25.0 \text{cm}^3\), of the sodium hydroxide solution.
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Worked solution
[Part a](i) Convert percentages to moles: Moles of C = 40.0 / 12.0 = 3.33 mol. Moles of H = 6.7 / 1.0 = 6.7 mol. Moles of O = 53.3 / 16.0 = 3.33 mol. Divide by the smallest value (3.33): C : H : O = 1 : 2 : 1. Empirical formula is \(\text{CH}_2\text{O}\). (ii) Apply ideal gas equation: \(pV = nRT \Rightarrow n = \frac{pV}{RT}\). Convert variables to SI units: \(p = 101 \times 10^3\text{ Pa}\), \(V = 71.8 \times 10^{-6}\text{ m}^3\), \(T = 373\text{ K}\). \(n = \frac{101 \times 10^3 \times 71.8 \times 10^{-6}}{8.31 \times 373} = \frac{7.2518}{3099.63} = 2.3396 \times 10^{-3}\text{ mol}\). Calculate \(M_{\text{r}}\): \(M_{\text{r}} = \frac{\text{mass}}{n} = \frac{0.210}{2.3396 \times 10^{-3}} = 89.76 \approx 90.0\text{ g mol}^{-1}\). Empirical mass of \(\text{CH}_2\text{O} = 12.0 + 2(1.0) + 16.0 = 30.0\text{ g mol}^{-1}\). Ratio \(\frac{M_{\text{r}}}{\text{empirical mass}} = \frac{90.0}{30.0} = 3\). Thus, the molecular formula is \(\text{C}_3\text{H}_6\text{O}_3\). [Part b] 1) Calculate moles of \(\text{H}_2\text{SO}_4\): \(n(\text{H}_2\text{SO}_4) = c \times V = 0.0500 \times \frac{18.40}{1000} = 9.20 \times 10^{-4}\text{ mol}\). 2) Determine moles of \(\text{NaOH}\) reacting (using 1:2 stoichiometry): \(n(\text{NaOH}) = 2 \times 9.20 \times 10^{-4} = 1.84 \times 10^{-3}\text{ mol}\). 3) Calculate concentration of \(\text{NaOH}\): \(c(\text{NaOH}) = \frac{n}{V} = \frac{1.84 \times 10^{-3}}{0.0250} = 0.0736\text{ mol dm}^{-3}\).
Marking scheme
[Part a](i) 2 marks: 1 mark for working out molar ratio (3.33 : 6.7 : 3.33); 1 mark for correct empirical formula CH2O. (ii) 4.67 marks: 1 mark for converting pressure and volume to SI units (Pa and m^3); 1 mark for calculating correct moles of gas (2.34 x 10^-3); 1 mark for calculating Mr = 90.0; 1.67 marks for deducing the molecular formula C3H6O3. [Part b] 5 marks: 1 mark for converting titre to dm^3; 1 mark for calculating moles of H2SO4 (9.20 x 10^-4); 1 mark for identifying the 1:2 reacting ratio; 1 mark for calculating moles of NaOH (1.84 x 10^-3); 1 mark for final concentration of NaOH (0.0736 mol dm^-3) to 3 sig figs.
Section Unit 2
Answer all questions in the spaces provided.
7 Question · 70 marks
Question 1 · structured
10 marks
This question is about Born-Haber cycles and the thermodynamics of ionic compounds.
(a) Define the term first electron affinity. [2 marks]
(b) Use the following thermodynamic data to calculate the lattice enthalpy of formation of calcium oxide, \(\text{CaO(s)}\). [6 marks]
* Enthalpy of formation of \(\text{CaO(s)}\) = \(-635\\ \text{kJ\\ mol}^{-1}\) * Enthalpy of atomisation of \(\text{Ca(s)}\) = \(+178\\ \text{kJ\\ mol}^{-1}\) * First ionisation energy of \(\text{Ca(g)}\) = \(+590\\ \text{kJ\\ mol}^{-1}\) * Second ionisation energy of \(\text{Ca(g)}\) = \(+1145\\ \text{kJ\\ mol}^{-1}\) * Enthalpy of atomisation of oxygen, \(\frac{1}{2}\text{O}_2\text{(g)}\rightarrow \text{O(g)}\) = \(+248\\ \text{kJ\\ mol}^{-1}\) * First electron affinity of oxygen = \(-141\\ \text{kJ\\ mol}^{-1}\) * Second electron affinity of oxygen = \(+798\\ \text{kJ\\ mol}^{-1}\)
(c) Explain why the second electron affinity of oxygen is an endothermic process. [2 marks]
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Worked solution
(a) The first electron affinity is the enthalpy change when 1 mole of gaseous 1- ions is formed from 1 mole of gaseous atoms by the addition of 1 mole of electrons.
(c) The second electron affinity involves adding a negatively charged electron to a negatively charged oxide ion (\(\text{O}^-\)). Energy is required to overcome the electrostatic repulsion between the negative ion and the incoming electron, making the process endothermic.
Marking scheme
(a) M1: Enthalpy change when 1 mole of gaseous 1- ions is formed [1 mark] M2: from 1 mole of gaseous atoms by gaining 1 mole of electrons [1 mark]
(b) M1: Clear expression of Born-Haber cycle (algebraic or diagrammatic) [1 mark] M2: Correct substitution of values into the cycle expression [2 marks] (deduct 1 mark for each transcription or sign error) M3: Correct arithmetic simplification: \(-635 = 2818 + \Delta H_{L,form}\) [1 mark] M4: Final calculated value of \(-3453\) [1 mark] M5: Correct negative sign and unit \(\text{kJ\\ mol}^{-1}\) [1 mark]
(c) M1: Oxide ion (\(\text{O}^-\) intermediate) is negatively charged [1 mark] M2: Energy is required to overcome repulsion between the negative ion and the incoming negative electron [1 mark]
Question 2 · structured
10 marks
The reduction of iron(III) oxide by carbon monoxide is a key reaction in the blast furnace: \(\text{Fe}_2\text{O}_3\text{(s)} + 3\text{CO(g)} \rightarrow 2\text{Fe(s)} + 3\text{CO}_2\text{(g)}\) \(\Delta H^\theta = -24.8\\ \text{kJ\\ mol}^{-1}\)
Standard entropy values, \(S^\theta\), for the reactants and products are given below: * \(S^\theta(\text{Fe}_2\text{O}_3\text{(s)}) = 87.4\\ \text{J\\ K}^{-1}\text{mol}^{-1}\) * \(S^\theta(\text{CO(g)}) = 197.6\\ \text{J\\ K}^{-1}\text{mol}^{-1}\) * \(S^\theta(\text{Fe(s)}) = 27.3\\ \text{J\\ K}^{-1}\text{mol}^{-1}\) * \(S^\theta(\text{CO}_2\text{(g)}) = 213.6\\ \text{J\\ K}^{-1}\text{mol}^{-1}\)
(a) Calculate the standard entropy change, \(\Delta S^\theta\), for this reaction at \(298\\ \text{K}\). [3 marks]
(b) Calculate the standard Gibbs free energy change, \(\Delta G^\theta\), for this reaction at \(298\\ \text{K}\). State whether the reaction is feasible at this temperature. [3 marks]
(c) Use the equation \(\Delta G = \Delta H - T\Delta S\) to explain how the feasibility of this reaction changes as the temperature increases. [4 marks]
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(c) Because \(\Delta H\) is negative (exothermic) and \(\Delta S\) is positive (entropy increases), the term \(-T\Delta S\) is negative at all temperatures. Since both \(\Delta H\) and \(-T\Delta S\) are negative, \(\Delta G\) will be negative at all temperatures. Therefore, the reaction is feasible at all temperatures and becomes increasingly feasible (more negative \(\Delta G\)) as temperature increases.
Marking scheme
(a) M1: For showing a correct sum of product entropies minus reactant entropies [1 mark] M2: For standard arithmetic evaluation of both parts (695.4 and 680.2) [1 mark] M3: Correct value of \(+15.2\\ \text{J\\ K}^{-1}\text{mol}^{-1}\) (sign must be present) [1 mark]
(b) M1: Convert entropy change to \(\text{kJ\\ K}^{-1}\text{mol}^{-1}\) by dividing by 1000 [1 mark] M2: Correct substitution into the free energy equation resulting in \(-29.3\\ \text{kJ\\ mol}^{-1}\) (accept range \(-29.3\) to \(-29.4\)) [1 mark] M3: Clear statement that the reaction is feasible because \(\Delta G < 0\) [1 mark]
(c) M1: Mentions \(\Delta H\) is negative / exothermic [1 mark] M2: Mentions \(\Delta S\) is positive / disorder increases [1 mark] M3: Explains that \(-T\Delta S\) remains negative at all temperatures [1 mark] M4: Concludes that \(\Delta G\) is always negative, so the reaction remains feasible at all temperatures (or becomes more feasible as temperature increases) [1 mark]
Question 3 · structured
10 marks
This question concerns three isomeric alcohols, A, B, and C, with the molecular formula \(\text{C}_4\text{H}_{10}\text{O}\).
* Alcohol A is a primary alcohol. * Alcohol B is a secondary alcohol. * Alcohol C is a tertiary alcohol.
(a) State the observation when Alcohol C is heated under reflux with acidified potassium dichromate(VI). Explain why tertiary alcohols resist oxidation. [2 marks]
(b) State the IUPAC name and draw the skeletal structure of the organic product formed when Alcohol A is heated under reflux with an excess of acidified potassium dichromate(VI). [2 marks]
(c) When Alcohol B is heated with concentrated sulfuric acid at \(180^\circ\text{C}\), dehydration occurs to form a mixture of three isomeric alkenes.
(i) Write a chemical equation for this dehydration reaction using molecular formulas. [1 mark]
(ii) Draw the structures of all three isomeric alkenes formed. [3 marks]
(iii) State the type of stereoisomerism exhibited by two of these alkenes and explain how it arises. [2 marks]
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Worked solution
(a) Observation: The solution remains orange / no color change. Explanation: Tertiary alcohols do not have a hydrogen atom attached to the carbon atom that is bonded to the hydroxyl (\(\text{-OH}\)) group, meaning they cannot be oxidized without breaking carbon-carbon bonds.
(b) Since A is a primary alcohol (butan-1-ol), excess oxidizing agent under reflux converts it completely to a carboxylic acid. IUPAC Name: Butanoic acid. Structure: skeletal showing 4 carbons and a carboxylic acid group: \(\text{CH}_3\text{CH}_2\text{CH}_2\text{COOH}\).
(ii) Dehydration of butan-2-ol can eliminate a hydrogen atom from either carbon-1 or carbon-3, yielding three isomers: 1. But-1-ene: \(\text{CH}_2\text{=CH-CH}_2\text{-CH}_3\) 2. (E)-but-2-ene: with methyl groups trans/opposite across the double bond. 3. (Z)-but-2-ene: with methyl groups cis/together on the same side of the double bond.
(iii) Type of stereoisomerism: E-Z isomerism (or stereoisomerism/geometric isomerism). Explanation: It arises because there is restricted rotation around the carbon-carbon double bond (\(\text{C=C}\)) and there are two different groups attached to each of the carbon atoms in the double bond (a hydrogen and a methyl group).
Marking scheme
(a) M1: Observation: remains orange / no color change [1 mark] M2: Reason: no hydrogen atom on the carbon bonded to the -OH group [1 mark]
(c)(ii) M1: Correct structure of but-1-ene [1 mark] M2: Correct structure of (E)-but-2-ene [1 mark] M3: Correct structure of (Z)-but-2-ene [1 mark]
(c)(iii) M1: Identifies E-Z isomerism / geometric isomerism [1 mark] M2: Explains restriction of rotation around double bond AND two different groups on each carbon of the double bond [1 mark]
Question 4 · structured
10 marks
Ethanol is a major industrial chemical and biofuel. It can be manufactured either by the hydration of ethene or by the fermentation of glucose.
(a) Ethanol is produced industrially by the direct hydration of ethene with steam.
(i) State the temperature, pressure, and catalyst used in this industrial process. [3 marks]
(ii) Draw the complete mechanism for this reaction. Show all curly arrows, relevant lone pairs, and charges. [4 marks]
(b) Fermentation of glucose is used to produce bioethanol.
(i) Write a balanced chemical equation for the fermentation of glucose. [1 mark]
(ii) Give two environmental or economic advantages of producing ethanol by fermentation rather than hydration of ethene. [2 marks]
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(ii) Mechanism for hydration of ethene: 1. Step 1: Protonation of ethene. Curly arrow from the \(\text{C=C}\) double bond to the \(\text{H}^+\) ion from the catalyst. This forms a carbocation intermediate (\(\text{CH}_3\text{CH}_2^+\)). 2. Step 2: Nucleophilic attack of water. Curly arrow from the lone pair on the oxygen of a water molecule (\(\text{H}_2\text{O}\)) to the positively charged carbon of the carbocation. This forms the protonated ethanol intermediate (\(\text{CH}_3\text{CH}_2\text{OH}_2^+\)). 3. Step 3: Deprotonation. Curly arrow from the \(\text{O-H}\) bond in \(\text{CH}_3\text{CH}_2\text{OH}_2^+\)\\ to the oxygen atom, regenerating the \(\text{H}^+\) catalyst and producing ethanol.
(ii) Advantages: * Fermentation uses renewable resources (sugars from crops like sugarcane or sugar beet) whereas ethene is obtained from non-renewable crude oil. * Fermentation uses much lower temperatures and pressures (around \(35^\circ\text{C}\) and atmospheric pressure), which requires far less energy input and cheaper equipment.
(a)(ii) M1: Curly arrow from \(\text{C=C}\) to \(\text{H}^+\) [1 mark] M2: Correct carbocation intermediate structure \(\text{CH}_3\text{CH}_2^+\) [1 mark] M3: Curly arrow from oxygen lone pair on \(\text{H}_2\text{O}\) to the carbocation carbon [1 mark] M4: Correct protonated intermediate and curly arrow from the \(\text{O-H}\) bond back to oxygen [1 mark]
(b)(ii) M1: Reference to renewable raw materials / sustainable feedstock [1 mark] M2: Reference to lower energy consumption / operating cost / mild conditions [1 mark]
Question 5 · structured
10 marks
This question is about the chemistry of the oxides and chlorides of the Period 3 elements.
(a) Both phosphorus(V) oxide (\(\text{P}_4\text{O}_{10}\)) and sulfur trioxide (\(\text{SO}_3\)) react vigorously with water.
(i) Write a balanced chemical equation for the reaction of phosphorus(V) oxide with water. [1 mark]
(ii) State the approximate pH of the resulting solution from the reaction in (a)(i). [1 mark]
(iii) Write a balanced chemical equation for the reaction of sulfur trioxide with water. [1 mark]
(b) Silicon tetrachloride (\(\text{SiCl}_4\)) and sodium chloride (\(\text{NaCl}\) behave very differently when treated with water.
(i) Describe the observations when water is added dropwise to silicon tetrachloride. Write a balanced equation for this reaction. [3 marks]
(ii) Explain the differences in behaviour and the pH of the resulting solutions when silicon tetrachloride and sodium chloride are separately added to water, in terms of their structures and bonding. [4 marks]
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(b) (i) Observations: Steamy/white fumes (of hydrogen chloride gas) and a white solid/precipitate (of silicon dioxide or silicic acid). Equation: \(\text{SiCl}_4 + 2\text{H}_2\text{O} \rightarrow \text{SiO}_2 + 4\text{HCl}\) (or \(\text{SiCl}_4 + 4\text{H}_2\text{O} \rightarrow \text{Si(OH)}_4 + 4\text{HCl}\))
(ii) NaCl is a giant ionic lattice. In water, it simply dissolves; the polar water molecules hydrate the sodium and chloride ions, breaking the ionic lattice but without any chemical reaction (hydrolysis). The solution is neutral (pH = 7). SiCl4 is a simple molecular structure with covalent bonds. Silicon has empty 3d orbitals which can accept lone pairs of electrons from water molecules, initiating a hydrolysis reaction. This reaction breaks covalent bonds to form HCl, resulting in a strongly acidic solution (pH = 0 to 2).
(b)(i) M1: White fumes / steamy fumes [1 mark] M2: White solid / white precipitate [1 mark] M3: Equation: \(\text{SiCl}_4 + 2\text{H}_2\text{O} \rightarrow \text{SiO}_2 + 4\text{HCl}\) (or balanced with \(\text{Si(OH)}_4\)) [1 mark]
(b)(ii) M1: NaCl has ionic bonding/giant ionic structure, dissolves without reacting, pH = 7 [2 marks] (1 mark for bonding, 1 mark for dissolving/pH) M2: SiCl4 is simple molecular covalent, reacts/hydrolyses, because silicon has vacant d-orbitals [1 mark] M3: Forms strongly acidic solution / pH 0-2 due to HCl production [1 mark]
Question 6 · structured
10 marks
This question is about aldehydes and ketones.
(a) Propanal and propanone are structural isomers.
(i) State the specific type of structural isomerism shown by propanal and propanone. [1 mark]
(ii) Describe a chemical test, including reagents and observations, to distinguish between propanal and propanone. [3 marks]
(b) Propanal reacts with hydrogen cyanide, \(\text{HCN}\), in the presence of potassium cyanide, \(\text{KCN}\), to form a hydroxynitrile.
(i) State the IUPAC name of the product formed in this reaction. [1 mark]
(ii) Draw the nucleophilic addition mechanism for this reaction. Show all curly arrows, relevant lone pairs, and charges. [3 marks]
(iii) Explain why the product mixture obtained from this reaction does not exhibit any optical activity. [2 marks]
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Worked solution
(a) (i) Functional group isomerism (as they have different functional groups, aldehyde vs ketone).
(ii) Test: Add Tollens' reagent (or Fehling's solution) and warm. * Observation with propanal: Silver mirror (or red precipitate for Fehling's). * Observation with propanone: No visible change (remains colorless/blue).
(b) (i) IUPAC Name: 2-hydroxybutanenitrile.
(ii) Mechanism: 1. Step 1: The nucleophile \(\text{CN}^-\) attacks the carbonyl carbon. A curly arrow is drawn from the lone pair on the carbon of \(\text{CN}^-\) to the carbonyl carbon (showing \(\delta+\) on carbon, \(\delta-\) on oxygen). A second curly arrow goes from the double bond of \(\text{C=O}\) to the oxygen atom. 2. Step 2: The intermediate \(\text{CH}_3\text{CH}_2\text{CH(O}^-\)\\text{CN}\) is formed. A curly arrow is drawn from the lone pair on the negative oxygen atom to a proton (\(\text{H}^+\) or \(\text{HCN}\)), forming the alcohol group.
(iii) The carbonyl carbon of propanal has a planar geometry. The nucleophile (\(\text{CN}^-\) ion) can attack the planar carbonyl group with equal probability from either side (above or below the plane). This results in an equimolar (50:50) mixture of the two optical isomers (enantiomers), known as a racemic mixture. The optical rotations of the enantiomers cancel each other out, making the mixture optically inactive.
Marking scheme
(a)(i) M1: Functional group isomerism [1 mark]
(a)(ii) M1: Tollens' reagent / Fehling's solution [1 mark] M2: Silver mirror with propanal / Red precipitate with propanal [1 mark] M3: No change/reaction with propanone [1 mark]
(b)(ii) M1: Arrow from lone pair of \(\text{CN}^-\) to carbonyl carbon [1 mark] M2: Arrow from \(\text{C=O}\) bond to oxygen, showing correct partial charges [1 mark] M3: Correct intermediate structure and final arrow from \(\text{O}^-\) to \(\text{H}^+\) to form product [1 mark]
(b)(iii) M1: The carbonyl group / C=O is planar [1 mark] M2: Attack can occur from either side with equal probability, forming a racemic mixture [1 mark]
Question 7 · structured
10 marks
This question is about coordination compounds of transition metals.
(a) Explain what is meant by the terms ligand and coordination number. [2 marks]
(b) Copper(II) ions exist in aqueous solution as the hexaaquacopper(II) ion, \([\text{Cu(H}_2\text{O)}_6]^{2+}\).
(i) State the shape and standard bond angle(s) in this octahedral complex. [2 marks]
(ii) When excess concentrated hydrochloric acid is added to this aqueous solution, a ligand substitution reaction occurs to form a tetrachlorocuprate(II) ion. Write a balanced chemical equation for this reaction. [2 marks]
(iii) State the color and shape of the tetrachlorocuprate(II) ion formed. Explain why the coordination number changes in this reaction. [3 marks]
(c) State one biologically important complex containing transition metal ions and name the metal present in it. [10 marks]
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Worked solution
(a) * Ligand: An atom, ion, or molecule that can donate a lone pair of electrons to a central metal ion to form a coordinate (dative covalent) bond. * Coordination number: The total number of coordinate bonds formed between the central metal ion and the ligands.
(ii) Equation: \([\text{Cu(H}_2\text{O)}_6]^{2+} + 4\text{Cl}^- \rightarrow [\text{CuCl}_4]^{2-} + 6\text{H}_2\text{O}\)
(iii) * Color: Yellow-green / green / yellow. * Shape: Tetrahedral. * Explanation: Chloride ligands (\(\text{Cl}^-\)) are larger than water molecules (\(\text{H}_2\text{O}\)). Consequently, fewer chloride ligands can fit around the copper(II) ion due to steric hindrance and repulsion between the negative ligands, reducing the coordination number from 6 to 4.
(c) Haemoglobin is a biologically important complex. The transition metal ion present in haemoglobin is iron (\(\text{Fe}^{2+}\)).
Marking scheme
(a) M1: Ligand: donor of lone pair to form coordinate bond [1 mark] M2: Coordination number: number of coordinate bonds to metal ion [1 mark]
(b)(i) M1: Octahedral shape [1 mark] M2: \(90^\circ\) (or \(90^\circ\) and \(180^\circ\)) bond angle [1 mark]
(b)(ii) M1: Correct formulae for reactants and products [1 mark] M2: Correct balancing and overall charges (e.g. \(4\text{Cl}^-\) and \([\text{CuCl}_4]^{2-}\)) [1 mark]
(b)(iii) M1: Color: Yellow-green / green / yellow [1 mark] M2: Shape: Tetrahedral [1 mark] M3: Reason: Chloride ligands are larger than water ligands / steric hindrance [1 mark]
(c) M1: Haemoglobin (accept myoglobin) and Iron (\(\text{Fe}\)) [1 mark]
Section Unit 3
Answer all questions in the spaces provided.
8 Question · 80 marks
Question 1 · Structured
10 marks
Calcium sulfide, \(CaS\), is a crystalline solid with a giant ionic structure.
(a) Define the term lattice enthalpy of formation of calcium sulfide. (2 marks)
(b) Write equations, including state symbols, to represent the following processes: (i) The standard enthalpy of atomisation of sulfur. (1 mark) (ii) The second electron affinity of sulfur. (1 mark)
(c) Calculate the lattice enthalpy of formation of calcium sulfide using the following data:
- Enthalpy of formation of \(CaS(s) = -482\text{ kJ mol}^{-1}\) - Enthalpy of atomisation of calcium = \(+178\text{ kJ mol}^{-1}\) - First ionisation energy of calcium = \(+590\text{ kJ mol}^{-1}\) - Second ionisation energy of calcium = \(+1145\text{ kJ mol}^{-1}\) - Enthalpy of atomisation of sulfur = \(+279\text{ kJ mol}^{-1}\) - First electron affinity of sulfur = \(-200\text{ kJ mol}^{-1}\) - Second electron affinity of sulfur = \(+640\text{ kJ mol}^{-1}\) (4 marks)
(d) Compare the experimental value of the lattice enthalpy of calcium sulfide with a theoretical value obtained from an ionic model, and explain any difference. (2 marks)
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Worked solution
(a) The enthalpy change when 1 mole of solid ionic compound (calcium sulfide) is formed from its constituent gaseous ions under standard conditions. Equation: \(Ca^{2+}(g) + S^{2-}(g) \rightarrow CaS(s)\).
(b)(i) \(S(s) \rightarrow S(g)\) (ii) \(S^-(g) + e^- \rightarrow S^{2-}(g)\)
(d) The experimental value is more exothermic (larger negative value) than the theoretical value. This is because calcium sulfide has a degree of covalent character (due to polarization of the sulfide ion by the calcium ion), which makes the bonding stronger than purely ionic bonding.
Marking scheme
(a) Award 1 mark for: enthalpy change when 1 mole of solid ionic compound is formed from its constituent gaseous ions. Award 1 mark for: reference to standard conditions / standard states.
(b)(i) \(S(s) \rightarrow S(g)\) - 1 mark. (Reject if no state symbols or incorrect state symbols). (b)(ii) \(S^-(g) + e^- \rightarrow S^{2-}(g)\) - 1 mark.
(c) Award marks as follows: - 1 mark for correct algebraic expression or cycle setup. - 1 mark for correct summation of positive terms: \(178 + 590 + 1145 + 279 + 640 = 2832\) (or total sum including \(EA_1\) as \(2432\)). - 1 mark for rearranging to find \(\Delta H_{L,form}\): \(-482 - 2432\). - 1 mark for correct final value: \(-2914\text{ kJ mol}^{-1}\) (must include sign and unit).
(d) Award 1 mark for stating the experimental value is more exothermic / larger negative. Award 1 mark for explaining that the compound has covalent character / polarisation of the sulfide ion occurs.
Question 2 · Structured
10 marks
Industrial hydrogen is produced by the steam reforming of methane:
\(CH_4(g) + H_2O(g) \rightarrow CO(g) + 3H_2(g)\)
Standard enthalpy change for this reaction: \(\Delta H^\ominus = +206\text{ kJ mol}^{-1}\) at \(298\text{ K}\).
(a) Calculate the entropy change, \(\Delta S^\ominus\), for this reaction at \(298\text{ K}\). (3 marks)
(b) Calculate the Gibbs free energy change, \(\Delta G^\ominus\), for this reaction at \(298\text{ K}\). State whether the reaction is feasible at this temperature. (3 marks)
(c) Calculate the minimum temperature, in Kelvin, at which this reaction becomes feasible. (Assume that \(\Delta H^\ominus\) and \(\Delta S^\ominus\) do not change with temperature). (3 marks)
(d) Explain why the reaction may not occur at a noticeable rate even at a temperature where \(\Delta G^\ominus\) is negative. (1 mark)
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(b) \(\Delta G^\ominus = \Delta H^\ominus - T\Delta S^\ominus\) Convert \(\Delta S^\ominus\) to \(\text{kJ K}^{-1}\text{ mol}^{-1}\): \(216 / 1000 = 0.216\text{ kJ K}^{-1}\text{ mol}^{-1}\). \(\Delta G^\ominus = 206 - (298 \times 0.216)\) \(\Delta G^\ominus = 206 - 64.368 = +141.632\text{ kJ mol}^{-1}\) (rounds to \(+142\text{ kJ mol}^{-1}\)). Since \(\Delta G^\ominus\) is positive, the reaction is not feasible at \(298\text{ K}\).
(c) For the reaction to be feasible, \(\Delta G^\ominus \le 0\). Therefore, \(T \ge \frac{\Delta H^\ominus}{\Delta S^\ominus}\). \(T = \frac{206 \times 1000}{216} = 953.7\text{ K}\) (rounds to \(954\text{ K}\)).
(d) The reaction has a very high activation energy, which prevents it from occurring at a noticeable rate under these conditions.
Marking scheme
(a) Award 1 mark for correct formula or correct substitution of values. Award 1 mark for \(591\) and \(375\). Award 1 mark for correct final answer: \(+216\text{ J K}^{-1}\text{ mol}^{-1}\) (must include sign and units).
(b) Award 1 mark for converting \(\Delta S^\ominus\) to kJ or \(\Delta H^\ominus\) to J. Award 1 mark for calculation of \(+142\text{ kJ mol}^{-1}\) (or \(+141.6\text{ kJ mol}^{-1}\)). Award 1 mark for concluding that the reaction is NOT feasible because \(\Delta G\) is positive.
(c) Award 1 mark for setting \(\Delta G^\ominus = 0\) or stating \(T = \frac{\Delta H}{\Delta S}\). Award 1 mark for correct substitution: \(206 \times 1000 / 216\). Award 1 mark for correct value: \(954\text{ K}\) (accept range \(953.7 - 954\text{ K}\)).
(d) Award 1 mark for reference to high activation energy.
Question 3 · Structured
10 marks
Alcohols can undergo dehydration reactions to form alkenes.
(a) State the reagent and conditions required for the dehydration of butan-2-ol. (2 marks)
(b) Draw the structural formula of the three isomeric alkenes formed when butan-2-ol is dehydrated. Explain why these three distinct isomers arise. (4 marks)
(c) Outline the mechanism for the dehydration of butan-2-ol to form but-2-ene. (4 marks)
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Worked solution
(a) Reagent: Concentrated sulfuric acid (\(H_2SO_4\)) or concentrated phosphoric acid (\(H_3PO_4\)). Conditions: Heat (or temperature in range \(150 - 180^\circ\text{C}\)).
(b) The three isomers are: 1. But-1-ene: \(CH_2=CHCH_2CH_3\) 2. (E)-but-2-ene (trans-but-2-ene) 3. (Z)-but-2-ene (cis-but-2-ene) Explanation: Dehydration involves removing a hydrogen atom from a carbon adjacent to the C-OH carbon. The hydrogen can be removed from C1 to form but-1-ene, or from C3 to form but-2-ene. But-2-ene exists as stereoisomers (E/Z isomers) due to restricted rotation about the C=C double bond and the fact that each carbon in the double bond is bonded to two different groups (a methyl group and a hydrogen atom).
(c) Mechanism: - Step 1: The oxygen lone pair of butan-2-ol is protonated by an \(H^+\) ion from the acid catalyst to form a protonated alcohol. - Step 2: The C-O bond breaks, releasing water (\(H_2O\)) and forming a secondary carbocation (\(CH_3CH^+CH_2CH_3\)). - Step 3: A water molecule or hydrogen sulfate ion acts as a base and removes a proton (\(H^+\)) from C3 (or C1), with the electrons from the C-H bond moving to form the C=C double bond, yielding but-2-ene.
Marking scheme
(a) Award 1 mark for: concentrated sulfuric acid / concentrated phosphoric acid (reject dilute acid). Award 1 mark for: heat / hot / temp of \(170^\circ\text{C}\).
(b) Award 2 marks for drawing/naming all three isomers correctly (but-1-ene, E-but-2-ene, Z-but-2-ene). (Deduct 1 mark if only two are drawn). Award 1 mark for explaining that hydrogen can be removed from C1 or C3. Award 1 mark for explaining that but-2-ene exhibits E/Z (or stereoisomerism) due to restricted rotation around C=C.
(c) Award marks for the mechanism as follows: - 1 mark for a curly arrow from lone pair on the O of the OH group to the \(H^+\) ion. - 1 mark for a curly arrow from the C-O bond to the positive O atom in the protonated intermediate to form the carbocation. - 1 mark for drawing the structure of the carbocation intermediate: \(CH_3CH^+CH_2CH_3\). - 1 mark for a curly arrow from the C-H bond on C3 to the adjacent C-C single bond, forming the double bond.
Question 4 · Structured
10 marks
Ethanol is a major industrial chemical produced by two different routes: the hydration of ethene and the fermentation of glucose.
(a) Outline the process for the industrial production of ethanol by the hydration of ethene. Your answer should include: - A balanced chemical equation with state symbols (1 mark) - The identity of the catalyst (1 mark) - The typical reaction temperature and pressure used (2 marks)
(b) Write a balanced chemical equation for the production of ethanol by the fermentation of glucose. State the temperature and condition needed to ensure a high yield of ethanol. (3 marks)
(c) Compare these two methods in terms of: (i) Rate of reaction (1 mark) (ii) Purity of the ethanol obtained (1 mark) (iii) Sustainability of the starting materials (1 mark)
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(b) Equation: \(C_6H_{12}O_6(aq) \rightarrow 2CH_3CH_2OH(aq) + 2CO_2(g)\) Conditions: Yeast catalyst, temperature around \(35 - 40^\circ\text{C}\) (not exceeding \(45^\circ\text{C}\) to prevent enzyme denaturation), and anaerobic conditions (absence of oxygen) to prevent oxidation of ethanol to ethanoic acid.
(a) Award marks as follows: - 1 mark for correct equation with state symbols: \(CH_2=CH_2(g) + H_2O(g) \rightleftharpoons CH_3CH_2OH(g)\). - 1 mark for concentrated phosphoric acid (\(H_3PO_4\)) catalyst. - 1 mark for temperature: \(300^\circ\text{C}\) (accept \(250 - 350^\circ\text{C}\)). - 1 mark for pressure: \(60 - 70\text{ atm}\).
(b) Award marks as follows: - 1 mark for correct equation: \(C_6H_{12}O_6 \rightarrow 2C_2H_5OH + 2CO_2\). - 1 mark for temperature of \(30 - 42^\circ\text{C}\). - 1 mark for anaerobic / absence of oxygen.
(c) Award marks as follows: - (i) 1 mark for stating hydration is fast AND fermentation is slow. - (ii) 1 mark for stating hydration yields pure product AND fermentation yields impure product. - (iii) 1 mark for stating hydration uses non-renewable resources AND fermentation uses renewable resources.
Question 5 · Structured
10 marks
This question is about the oxides of Period 3 elements.
(a) Write equations for the reactions of the following oxides with water, and state the approximate pH of the resulting solution in each case: (i) Sodium oxide, \(Na_2O\) (2 marks) (ii) Phosphorus(V) oxide, \(P_4O_{10}\) (2 marks)
(b) Sulfur dioxide (\(SO_2\)) and sulfur trioxide (\(SO_3\)) are both acidic oxides. (i) Write an equation for the reaction of \(SO_2\) with aqueous sodium hydroxide. (1 mark) (ii) Write an equation for the reaction of \(SO_3\) with water. (1 mark)
(c) Silicon dioxide (\(SiO_2\)) has a giant covalent structure. (i) State why silicon dioxide is insoluble in water. (1 mark) (ii) Write an equation to show that silicon dioxide behaves as an acidic oxide when it reacts with concentrated sodium hydroxide at high temperature. (1 mark)
(d) Aluminium oxide (\(Al_2O_3\)) is amphoteric. (i) Write an equation for the reaction of \(Al_2O_3\) with hydrochloric acid. (1 mark) (ii) Write an equation for the reaction of \(Al_2O_3\) with aqueous sodium hydroxide. (1 mark)
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Worked solution
(a)(i) Equation: \(Na_2O(s) + H_2O(l) \rightarrow 2NaOH(aq)\) (or \(2Na^+(aq) + 2OH^-(aq)\)). pH: 13 or 14. (ii) Equation: \(P_4O_{10}(s) + 6H_2O(l) \rightarrow 4H_3PO_4(aq)\). pH: 0, 1, or 2.
(c)(i) The giant covalent structure has very strong covalent bonds in a 3D macromolecular network, which require a massive amount of energy to break, and water molecules cannot solvate/hydrate the atoms. (ii) \(SiO_2 + 2NaOH \rightarrow Na_2SiO_3 + H_2O\).
(a)(i) Award 1 mark for correct equation. Award 1 mark for pH 13 or 14. (a)(ii) Award 1 mark for correct equation. Award 1 mark for pH 0, 1, or 2.
(b)(i) Award 1 mark for correct equation: \(SO_2 + 2NaOH \rightarrow Na_2SO_3 + H_2O\) (allow ionic equivalents). (b)(ii) Award 1 mark for: \(SO_3 + H_2O \rightarrow H_2SO_4\).
(c)(i) Award 1 mark for reference to strong covalent bonds in macromolecular / giant covalent structure which are difficult to break. (c)(ii) Award 1 mark for: \(SiO_2 + 2NaOH \rightarrow Na_2SiO_3 + H_2O\).
(d)(i) Award 1 mark for: \(Al_2O_3 + 6HCl \rightarrow 2AlCl_3 + 3H_2O\). (d)(ii) Award 1 mark for: \(Al_2O_3 + 2NaOH + 3H_2O \rightarrow 2Na[Al(OH)_4]\) (accept \(2NaAlO_2 + H_2O\)).
Question 6 · Structured
10 marks
This question is about the chlorides of Period 3 elements.
(a) Describe the bonding, structure, and approximate pH of the solution formed when each of the following chlorides is added to excess water: - Sodium chloride, \(NaCl\) (1 mark) - Aluminium chloride, \(AlCl_3\) (1 mark) - Silicon tetrachloride, \(SiCl_4\) (1 mark) - Phosphorus pentachloride, \(PCl_5\) (1 mark)
(b) Write balanced chemical equations, including state symbols, for the reaction of: (i) Silicon tetrachloride with water. (2 marks) (ii) Phosphorus pentachloride with water. (2 marks)
(c) Explain why sodium chloride simply dissolves in water to form a neutral solution, whereas silicon tetrachloride undergoes rapid hydrolysis. (2 marks)
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Worked solution
(a) Bonding, structure, and pH: - \(NaCl\): Ionic bonding, giant ionic lattice. Dissolves to form a solution with pH approximately 7. - \(AlCl_3\): Ionic with covalent character (or covalent dimer in gas phase), giant ionic / layer lattice. Hydrolyses to form an acidic solution with pH approximately 3. - \(SiCl_4\): Covalent bonding, simple molecular structure. Hydrolyses vigorously to form a strongly acidic solution with pH approximately 1-2. - \(PCl_5\): Covalent bonding, simple molecular structure (or ionic in solid state \([PCl_4]^+[PCl_6]^-\)). Hydrolyses vigorously to form a strongly acidic solution with pH approximately 1-2.
(c) Sodium chloride is a simple ionic lattice containing stable \(Na^+\) and \(Cl^-\). These ions are simply hydrated by water molecules because \(Na^+\) has a relatively low charge density and does not polarise water sufficiently to cause hydrolysis. Silicon tetrachloride has a central silicon atom with vacant 3d-orbitals that can accept a lone pair of electrons from water molecules, initiating the nucleophilic attack that leads to rapid hydrolysis.
Marking scheme
(a) Award marks as follows: - 1 mark for \(NaCl\): ionic + pH 7. - 1 mark for \(AlCl_3\): covalent/ionic with covalent character + pH 3. - 1 mark for \(SiCl_4\): covalent/simple molecular + pH 1 or 2. - 1 mark for \(PCl_5\): covalent/simple molecular + pH 1 or 2.
(b)(i) Award 1 mark for correct formulas. Award 1 mark for correct state symbols: \(SiCl_4(l) + 2H_2O(l) \rightarrow SiO_2(s) + 4HCl(aq)\). (b)(ii) Award 1 mark for correct formulas. Award 1 mark for correct state symbols: \(PCl_5(s) + 4H_2O(l) \rightarrow H_3PO_4(aq) + 5HCl(aq)\).
(c) Award 1 mark for: \(Na^+\) has low charge density and only hydration occurs / no vacant d-orbitals in period 2 (like Na level is filled or Na ion has no reaction). Award 1 mark for: Silicon has vacant 3d orbitals which can accept lone pairs of electrons from water molecules to allow coordinate bonding/hydrolysis.
Question 7 · Structured
10 marks
Transition metals form a wide range of complex ions.
(a) State what is meant by the terms: (i) Ligand (1 mark) (ii) Co-ordination number (1 mark)
(b) Aqueous copper(II) ions exist as the octahedral complex \([Cu(H_2O)_6]^{2+}\). (i) State the bond angle(s) in this complex. (1 mark) (ii) When excess concentrated hydrochloric acid is added to aqueous copper(II) ions, a yellow-green solution is formed. Write an equation for this reaction. (2 marks) (iii) State the shape of the new complex formed in part (b)(ii) and explain why there is a change in co-ordination number during this reaction. (3 marks)
(c) Write an equation for the reaction of \([Cr(H_2O)_6]^{3+}\) with excess aqueous ammonia, and describe the change in appearance of the mixture. (2 marks)
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Worked solution
(a)(i) A ligand is an atom, ion or molecule that donates a lone pair of electrons to a central metal ion to form a coordinate (dative covalent) bond. (ii) Co-ordination number is the total number of coordinate bonds formed between the central metal ion and the ligands.
(b)(i) \(90^\circ\) (accept \(180^\circ\)). (ii) \([Cu(H_2O)_6]^{2+}(aq) + 4Cl^-(aq) \rightleftharpoons [CuCl_4]^{2-}(aq) + 6H_2O(l)\). (iii) Shape: Tetrahedral. Explanation: Chloride ligands (\(Cl^-\)) are larger than water molecules (\(H_2O\)). Only four chloride ligands can fit around the central copper(II) ion due to steric hindrance (ligand-ligand repulsion).
(c) Equation: \([Cr(H_2O)_6]^{3+} + 6NH_3 \rightarrow [Cr(NH_3)_6]^{3+} + 6H_2O\). Appearance change: Violet/green solution turns into a green precipitate first (of \(Cr(OH)_3\)), which then redissolves in excess ammonia to form a purple solution (containing \([Cr(NH_3)_6]^{3+}\)).
Marking scheme
(a)(i) Award 1 mark for: species donating a lone pair of electrons to a metal ion. (a)(ii) Award 1 mark for: total number of coordinate bonds formed with the central metal ion.
(b)(i) Award 1 mark for: \(90^\circ\) (accept \(90^\circ\) and \(180^\circ\)). (b)(ii) Award 2 marks: 1 mark for correct reactants and products, 1 mark for balanced equation. (b)(iii) Award 1 mark for: tetrahedral shape. Award 2 marks for explanation: 1 mark for identifying chloride ions as larger than water; 1 mark for steric hindrance / ligand-ligand repulsion prevents 6 ligands fitting.
(c) Award 1 mark for equation: \([Cr(H_2O)_6]^{3+} + 6NH_3 \rightarrow [Cr(NH_3)_6]^{3+} + 6H_2O\). Award 1 mark for color change: violet/green solution to purple solution.
Question 8 · Structured
10 marks
Propanal and propanone are structural isomers with the molecular formula \(C_3H_6O\).
(a) Describe a simple chemical test to distinguish between propanal and propanone. State the reagent used and the observations with each compound. (3 marks)
(b) Propanal reacts with sodium tetrahydridoborate(III), \(NaBH_4\), in aqueous solution. (i) Name the organic product of this reaction and state the type of reaction occurring. (2 marks) (ii) Outline the mechanism for this reaction, using \(H^-\)\ to represent the nucleophile. (4 marks)
(c) Propanone reacts with hydrogen cyanide (\(HCN\)) in the presence of potassium cyanide (\(KCN\)). (i) State why the reaction is carried out in the presence of \(KCN\) rather than using \(HCN\) alone. (1 mark)
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Worked solution
(a) Reagent: Tollens' reagent (or Fehling's solution / Benedict's solution). Observation with propanal: Silver mirror formed on the tube wall (or red precipitate with Fehling's). Observation with propanone: No visible change (remains colorless/blue).
(b)(i) Product: Propan-1-ol. Reaction type: Nucleophilic addition (accept reduction). (ii) Mechanism: 1. Curly arrow from the lone pair of the hydride ion (\(H^-\)) to the carbonyl carbon (\(C=O\)). 2. Curly arrow from the C=O double bond to the oxygen atom. 3. Correct intermediate drawn: \(CH_3CH_2CH(O^-)H\) showing a negative charge on the oxygen. 4. Curly arrow from the lone pair on the negative oxygen to the hydrogen of water/proton source, forming \(CH_3CH_2CH_2OH\).
(c)(i) \(HCN\) is a weak acid and dissociates poorly, resulting in a very low concentration of the \(CN^-\)\ nucleophile. \(KCN\) is ionic and dissociates completely to provide a high concentration of the \(CN^-\)\ nucleophile, increasing the rate of reaction.
Marking scheme
(a) Award 1 mark for correct reagent: Tollens' reagent (or Fehling's / Benedict's). Award 1 mark for propanal observation: silver mirror / black precipitate (or red precipitate with Fehling's). Award 1 mark for propanone observation: no change / remains colorless (or remains blue).
(b)(i) Award 1 mark for: propan-1-ol (reject propanol). Award 1 mark for: nucleophilic addition / reduction. (b)(ii) Award marks for mechanism: - 1 mark for curly arrow from lone pair on \(H^-\)\ to the carbonyl carbon. - 1 mark for curly arrow from double bond of C=O to oxygen. - 1 mark for correct structure of intermediate (including charge on oxygen). - 1 mark for curly arrow from intermediate oxygen lone pair to \(H^+\) / \(H_2O\).
(c)(i) Award 1 mark for: \(KCN\) increases the concentration of \(CN^-\)\ nucleophile / \(HCN\) alone is too weak of an acid.
Section Unit 4
Answer all questions in the spaces provided.
8 Question · 80 marks
Question 1 · Structured
10 marks
This question is about Born-Haber cycles and the lattice enthalpy of ionic compounds.
(a) Define the term enthalpy of lattice dissociation. (2)
(b) Write a mathematical expression relating the standard enthalpy of formation of calcium oxide (\(\Delta H^\ominus_f(\text{CaO}(s))\)) to the lattice dissociation enthalpy and other standard enthalpy changes in a Born-Haber cycle. (2)
(c) Use the following data to calculate the lattice dissociation enthalpy of calcium oxide, \(\text{CaO}(s)\), in \(\text{kJ mol}^{-1}\). - Enthalpy of formation of \(\text{CaO}(s) = -635\ \text{kJ mol}^{-1}\) - Enthalpy of atomisation of \(\text{Ca}(s) = +178\ \text{kJ mol}^{-1}\) - First ionization energy of \(\text{Ca}(g) = +590\ \text{kJ mol}^{-1}\) - Second ionization energy of \(\text{Ca}(g) = +1145\ \text{kJ mol}^{-1}\) - Enthalpy of atomisation of oxygen, \(\Delta H^\ominus_{\text{at}}(\text{O}_2) = +249\ \text{kJ mol}^{-1}\) - First electron affinity of \(\text{O}(g) = -141\ \text{kJ mol}^{-1}\) - Second electron affinity of \(\text{O}(g) = +798\ \text{kJ mol}^{-1}\) (3)
(d) The theoretical lattice dissociation enthalpy of zinc oxide (\(\text{ZnO}\)) is significantly lower than its experimental value, whereas the theoretical and experimental values for calcium oxide (\(\text{CaO}\)) are very similar. Explain this observation in terms of bonding. (3)
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Worked solution
(a) The enthalpy change when 1 mole of an ionic crystal lattice is separated into its constituent gaseous ions under standard conditions. (b) \(\Delta H^\ominus_f(\text{CaO}) = \Delta H^\ominus_{\text{at}}(\text{Ca}) + 1\text{st IE}(\text{Ca}) + 2\text{nd IE}(\text{Ca}) + \Delta H^\ominus_{\text{at}}(\text{O}) + 1\text{st EA}(\text{O}) + 2\text{nd EA}(\text{O}) - \Delta H^\ominus_{L,\text{diss}}\) (c) Substituting the values: \(-635 = 178 + 590 + 1145 + 249 - 141 + 798 - \Delta H^\ominus_{L,\text{diss}}\) \(-635 = 2819 - \Delta H^\ominus_{L,\text{diss}}\) \(\Delta H^\ominus_{L,\text{diss}} = 2819 + 635 = +3454\ \text{kJ mol}^{-1}\) (d) Calcium oxide is almost purely ionic and fits the ionic model well, so the theoretical and experimental values are very similar. Zinc oxide has a significant degree of covalent character due to the polarization of the oxide ion by the small, highly polarizing \(\text{Zn}^{2+}\) ion, which makes the actual bonding stronger than predicted by the purely ionic model.
Marking scheme
(a) M1: Enthalpy change when 1 mole of solid ionic lattice is converted to gaseous ions. (1) M2: Under standard conditions. (1) (b) M1: Expression showing correct summation of terms. (1) M2: Correct signs for lattice dissociation enthalpy subtraction or correct equation rearranged for lattice enthalpy. (1) (c) M1: Correct setup of equation with values: \(-635 = 178 + 590 + 1145 + 249 - 141 + 798 - \Delta H^\ominus_{L,\text{diss}}\). (1) M2: Sum of terms = +2819. (1) M3: Final answer: \(+3454\ \text{kJ mol}^{-1}\) (with correct sign and units). (1) (Allow 2 marks for -3454 or missing sign, but full 3 marks only for positive value with correct unit). (d) M1: CaO has almost pure ionic bonding / matches ionic model. (1) M2: ZnO has covalent character / polarization of the anion. (1) M3: Due to the high charge density / polarizing power of \(\text{Zn}^{2+}\) compared to \(\text{Ca}^{2+}\). (1)
Question 2 · Structured
10 marks
This question is about entropy, Gibbs free energy, and reaction feasibility. Consider the reduction of iron(III) oxide by carbon monoxide: \(\text{Fe}_2\text{O}_3(s) + 3\text{CO}(g) \rightarrow 2\text{Fe}(s) + 3\text{CO}_2(g)\)
(a) Write the Gibbs free energy equation. State the condition required for a reaction to be thermodynamically feasible. (2)
(b) Calculate the standard entropy change, \(\Delta S^\ominus\), for this reaction at 298 K. Show your working. (3)
(c) Calculate the Gibbs free energy change, \(\Delta G^\ominus\), in \(\text{kJ mol}^{-1}\) for this reaction at 298 K. Determine whether the reaction is feasible at this temperature. (3)
(d) Explain why this reaction is feasible at all temperatures. (2)
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Worked solution
(a) \(\Delta G = \Delta H - T\Delta S\). For a reaction to be feasible, \(\Delta G \le 0\). (b) \(\Delta S^\ominus = \sum S^\ominus(\text{products}) - \sum S^\ominus(\text{reactants})\) \(\Delta S^\ominus = [2 \times 27.3 + 3 \times 213.6] - [87.4 + 3 \times 197.6]\) \(\Delta S^\ominus = [54.6 + 640.8] - [87.4 + 592.8] = 695.4 - 680.2 = +15.2\ \text{J K}^{-1}\text{ mol}^{-1}\) (c) \(\Delta G^\ominus = \Delta H^\ominus - T\Delta S^\ominus\) Convert \(\Delta S^\ominus\) to \(\text{kJ K}^{-1}\text{ mol}^{-1}\): \(15.2 / 1000 = 0.0152\ \text{kJ K}^{-1}\text{ mol}^{-1}\) \(\Delta G^\ominus = -24.8 - (298 \times 0.0152) = -24.8 - 4.53 = -29.33\ \text{kJ mol}^{-1}\) Since \(\Delta G^\ominus\) is negative (-29.33 \(\text{kJ mol}^{-1}\)), the reaction is feasible. (d) Since \(\Delta H^\ominus\) is negative (exothermic) and \(\Delta S^\ominus\) is positive (increase in disorder), the term \(-T\Delta S^\ominus\) is always negative at all temperatures. Therefore, \(\Delta G^\ominus\) is negative at all temperatures.
Marking scheme
(a) M1: \(\Delta G = \Delta H - T\Delta S\). (1) M2: Feasible when \(\Delta G \le 0\) (or negative). (1) (b) M1: Correct calculation of product entropy: \(2 \times 27.3 + 3 \times 213.6 = 695.4\). (1) M2: Correct calculation of reactant entropy: \(87.4 + 3 \times 197.6 = 680.2\). (1) M3: Final difference: \(+15.2\ \text{J K}^{-1}\text{ mol}^{-1}\). (1) (c) M1: Divides \(\Delta S^\ominus\) by 1000 to convert to \(\text{kJ K}^{-1}\text{ mol}^{-1}\). (1) M2: Calculates \(\Delta G^\ominus = -29.3\ \text{kJ mol}^{-1}\) (allow -29.3 to -29.4). (1) M3: States reaction is feasible because \(\Delta G^\ominus < 0\). (1) (d) M1: Explains that \(\Delta H\) is negative and \(\Delta S\) is positive. (1) M2: Concludes that \(\Delta G\) will always remain negative regardless of the value of T. (1)
Question 3 · Structured
10 marks
Pentan-2-ol undergoes an acid-catalyzed dehydration reaction to produce a mixture of isomeric alkenes.
(a) Identify a suitable concentrated acid catalyst for this reaction, and write a balanced equation for the dehydration of pentan-2-ol using structural formulas. (2)
(b) Draw the skeletal structures of the three isomeric alkenes formed in this reaction. (3)
(c) Outline the mechanism for the elimination of pentan-2-ol using concentrated sulfuric acid to form pent-2-ene. Show all necessary curly arrows, lone pairs, and formal charges. (4)
(d) Explain why pent-2-ene exists as a pair of stereoisomers. (1)
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Worked solution
(a) Catalyst: Concentrated sulfuric acid (\(\text{H}_2\text{SO}_4\)) or concentrated phosphoric acid (\(\text{H}_3\text{PO}_4\)). Equation: \(\text{CH}_3\text{CH(OH)CH}_2\text{CH}_2\text{CH}_3 \rightarrow \text{CH}_3\text{CH}=\text{CHCH}_2\text{CH}_3 + \text{H}_2\text{O}\). (b) The three isomers are: pent-1-ene, cis-pent-2-ene ((Z)-pent-2-ene), and trans-pent-2-ene ((E)-pent-2-ene). (c) Mechanism steps: 1. Protonation of the -OH group by \(\text{H}^+\) to form a protonated alcohol intermediate. 2. Loss of a water molecule to form a secondary carbocation intermediate. 3. Elimination of a proton from adjacent carbon (C3) by a base (such as \(\text{HSO}_4^-\)) to form the double bond and regenerate the acid catalyst. (d) Pent-2-ene has a carbon-carbon double bond (\(\text{C}=\text{C}\)) which restricts rotation. Additionally, each carbon of the double bond is bonded to two different groups: one carbon is bonded to -H and -\(\text{CH}_3\), and the other carbon is bonded to -H and -\(\text{CH}_2\text{CH}_3\).
Marking scheme
(a) M1: Concentrated sulfuric acid / \(\text{H}_2\text{SO}_4\) OR concentrated phosphoric acid / \(\text{H}_3\text{PO}_4\). (1) M2: Correct equation with formula of pentan-2-ol and any pentene + water. (1) (b) M1: Skeletal structure of pent-1-ene. (1) M2: Skeletal structure of (E)-pent-2-ene. (1) M3: Skeletal structure of (Z)-pent-2-ene. (1) (c) M1: Curly arrow from lone pair on O of -OH to \(\text{H}^+\) (or to H of \(\text{H}_2\text{SO}_4\) with arrow breaking O-H bond). (1) M2: Correct structure of protonated alcohol and curly arrow from C-O bond to positive O. (1) M3: Correct secondary carbocation structure (\(\text{CH}_3\text{CH}^+\text{CH}_2\text{CH}_2\text{CH}_3\)). (1) M4: Curly arrow from C-H bond on C3 (or adjacent carbon) to C-C bond, forming the double bond and releasing \(\text{H}^+\). (1) (d) M1: Restricted rotation about \(\text{C}=\text{C}\) double bond AND each carbon atom of the double bond is attached to two different groups. (1)
Question 4 · Structured
10 marks
This question is about the oxidation and identification of alcohols.
(a) Describe a chemical test to distinguish between butan-2-ol and 2-methylpropan-2-ol. State the reagents, conditions, and the expected observations for both compounds. (3)
(b) An isomer of butanol, compound X, is heated under reflux with excess acidified potassium dichromate(VI) to produce compound Y. Y reacts with sodium carbonate solution to produce bubbles of a colorless gas. - Identify X and Y by name. (2) - Write a chemical equation for the oxidation of X to Y. Use \([\text{O}]\) to represent the oxidizing agent. (2)
(c) Describe how infrared (IR) spectroscopy can be used to monitor the reaction and ensure that compound X has been completely converted into compound Y. Refer to specific bond absorption values in your answer. (3)
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Worked solution
(a) Reagent: Acidified potassium dichromate(VI) (\(\text{K}_2\text{Cr}_2\text{O}_7 / \text{H}_2\text{SO}_4\)). Conditions: Heat (warm). Observations: Butan-2-ol turns the solution from orange to green. 2-methylpropan-2-ol shows no color change (remains orange). (b) Since Y reacts with sodium carbonate to produce gas, Y must be a carboxylic acid. Thus, X must be a primary alcohol, which is butan-1-ol. Y is butanoic acid. Equation: \(\text{CH}_3\text{CH}_2\text{CH}_2\text{CH}_2\text{OH} + 2[\text{O}] \rightarrow \text{CH}_3\text{CH}_2\text{CH}_2\text{COOH} + \text{H}_2\text{O}\). (c) The IR spectrum of X contains a broad O-H (alcohol) absorption peak at \(3230-3550\ \text{cm}^{-1}\). The IR spectrum of Y has a very broad O-H (acid) absorption at \(2500-3000\ \text{cm}^{-1}\) and a strong C=O absorption at \(1680-1750\ \text{cm}^{-1}\). Complete conversion is confirmed when the alcohol O-H absorption peak at \(3230-3550\ \text{cm}^{-1}\) completely disappears and only the carboxylic acid peaks remain.
Marking scheme
(a) M1: Acidified potassium dichromate(VI) / \(\text{K}_2\text{Cr}_2\text{O}_7 + \text{H}_2\text{SO}_4\) and heat. (1) M2: Observation for butan-2-ol: turns from orange to green. (1) M3: Observation for 2-methylpropan-2-ol: remains orange / no change. (1) (b) M1: X is butan-1-ol; Y is butanoic acid. (Both correct for 2 marks, 1 correct for 1 mark) (2) M2: Balanced equation: \(\text{C}_4\text{H}_9\text{OH} + 2[\text{O}] \rightarrow \text{C}_3\text{H}_7\text{COOH} + \text{H}_2\text{O}\). (2) (c) M1: Mention loss of alcohol O-H peak at \(3230-3550\ \text{cm}^{-1}\). (1) M2: Mention appearance of C=O peak at \(1680-1750\ \text{cm}^{-1}\) (or carboxylic acid O-H at \(2500-3000\ \text{cm}^{-1}\)). (1) M3: Conversion is complete when the peak at \(3230-3550\ \text{cm}^{-1}\) is entirely absent. (1)
Question 5 · Structured
10 marks
This question concerns the oxides of Period 3 elements.
(a) Explain, in terms of structure and bonding, why silicon dioxide (\(\text{SiO}_2\)) has a much higher melting point than phosphorus(V) oxide (\(\text{P}_4\text{O}_{10}\)). (3)
(b) Write an equation for the reaction of sodium oxide (\(\text{Na}_2\text{O}\)) with water and state the pH of the resulting solution. (2)
(c) Write a balanced chemical equation for the reaction between phosphorus(V) oxide (\(\text{P}_4\text{O}_{10}\)) and excess aqueous sodium hydroxide. (2)
(d) Write an equation for the reaction of sulfur trioxide (\(\text{SO}_3\)) with water. Explain why the resulting solution is strongly acidic, referencing the nature of the ions formed. (3)
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Worked solution
(a) Silicon dioxide has a giant covalent (macromolecular) structure. Melting it requires breaking many strong covalent bonds between Si and O atoms, which requires a large amount of energy. Phosphorus(V) oxide has a simple molecular structure with weak van der Waals forces between the \(\text{P}_4\text{O}_{10}\) molecules, which require very little energy to overcome. (b) Equation: \(\text{Na}_2\text{O}(s) + \text{H}_2\text{O}(l) \rightarrow 2\text{NaOH}(aq)\) pH: 13-14 (accept 14). (c) Equation: \(\text{P}_4\text{O}_{10} + 12\text{NaOH} \rightarrow 4\text{Na}_3\text{PO}_4 + 6\text{H}_2\text{O}\) (d) Equation: \(\text{SO}_3(g) + \text{H}_2\text{O}(l) \rightarrow \text{H}_2\text{SO}_4(aq)\) Sulfur trioxide reacts with water to form sulfuric acid (\(\text{H}_2\text{SO}_4\)), which is a strong acid and fully dissociates in water to release a high concentration of hydrogen/hydronium ions (\(\text{H}^+\)/\(\text{H}_3\text{O}^+\)).
Marking scheme
(a) M1: \(\text{SiO}_2\) is giant covalent / macromolecular and \(\text{P}_4\text{O}_{10}\) is simple molecular. (1) M2: Melting \(\text{SiO}_2\) requires breaking strong covalent bonds. (1) M3: Melting \(\text{P}_4\text{O}_{10}\) only requires overcoming weak van der Waals forces (intermolecular forces) between molecules. (1) (b) M1: \(\text{Na}_2\text{O} + \text{H}_2\text{O} \rightarrow 2\text{NaOH}\). (1) M2: pH = 13 or 14. (1) (c) M1: Correct reactants and products (\(\text{P}_4\text{O}_{10} + \text{NaOH} \rightarrow \text{Na}_3\text{PO}_4 + \text{H}_2\text{O}\)). (1) M2: Fully balanced equation: \(\text{P}_4\text{O}_{10} + 12\text{NaOH} \rightarrow 4\text{Na}_3\text{PO}_4 + 6\text{H}_2\text{O}\). (1) (d) M1: \(\text{SO}_3 + \text{H}_2\text{O} \rightarrow \text{H}_2\text{SO}_4\). (1) M2: Sulfuric acid is a strong acid that fully dissociates. (1) M3: High concentration of \(\text{H}^+\) / \(\text{H}_3\text{O}^+\) ions in solution. (1)
Question 6 · Structured
10 marks
This question is about the chlorides of Period 3 elements.
(a) Describe the observations when water is added dropwise to a sample of solid silicon tetrachloride, \(\text{SiCl}_4\). Write a balanced equation for this reaction, including state symbols. (3)
(b) Solid aluminum chloride exists as a covalent dimer, \(\text{Al}_2\text{Cl}_6\), in the vapor phase. - Draw the structure of the dimer, showing any coordinate (dative) bonds clearly. (2) - Explain why aluminum chloride conducts electricity when molten but not when in the solid state. (2)
(c) Compare the behavior of sodium chloride (\(\text{NaCl}\)) and phosphorus(V) chloride (\(\text{PCl}_5\)) when added to water. Explain the differences in pH of the resulting solutions by discussing the bonding in the parent chlorides. (3)
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Worked solution
(a) Observations: Violent reaction, release of white fumes/mist (\(\text{HCl}\)), and formation of a white precipitate/solid (\(\text{SiO}_2\)). Equation: \(\text{SiCl}_4(l) + 2\text{H}_2\text{O}(l) \rightarrow \text{SiO}_2(s) + 4\text{HCl}(g)\). (b) Dimer structure: Two \(\text{AlCl}_3\) units linked by coordinate covalent bonds from a chlorine atom of each unit to the aluminum atom of the other. Arrows point from bridging Cl to Al. In the solid state, aluminum chloride has localized covalent bonding with no free ions to carry charge. When molten, it dissociates into mobile ions (\(\text{Al}^{3+}\) and \(\text{Cl}^-\)), allowing it to conduct electricity. (c) \(\text{NaCl}\) contains ionic bonding and simply dissolves in water to form a neutral solution (pH = 7) as the ions are hydrated. \(\text{PCl}_5\) is a covalent chloride that reacts vigorously with water (hydrolyzes) to form phosphoric acid and hydrochloric acid, which release high concentrations of \(\text{H}^+\) ions, resulting in a strongly acidic solution (pH = 1-2).
Marking scheme
(a) M1: White fumes/mist and white solid/precipitate. (1) M2: Correct equation: \(\text{SiCl}_4 + 2\text{H}_2\text{O} \rightarrow \text{SiO}_2 + 4\text{HCl}\). (1) M3: Correct state symbols: \(\text{SiCl}_4(l)\), \(\text{H}_2\text{O}(l)\), \(\text{SiO}_2(s)\), \(\text{HCl}(g)\). (1) (b) M1: Correct structural formula of \(\text{Al}_2\text{Cl}_6\) showing bridging chlorines. (1) M2: Coordinate bonds correctly indicated by arrows pointing from bridging chlorine atoms to aluminum atoms. (1) M3: Solid state has localized covalent bonds / no free ions to carry charge. (1) M4: Molten aluminum chloride contains mobile ions that can move and carry charge. (1) (c) M1: \(\text{NaCl}\) dissolves to form a neutral solution (pH 7). (1) M2: \(\text{PCl}_5\) hydrolyzes to form a strongly acidic solution (pH 1-2). (1) M3: Difference is due to \(\text{NaCl}\) being ionic (simple hydration of ions) while \(\text{PCl}_5\) is covalent (allowing attack of water on P atom causing hydrolysis). (1)
Question 7 · Structured
10 marks
This question concerns the reactions of carbonyl compounds with nucleophiles.
(a) Propanal reacts with a mixture of potassium cyanide and dilute sulfuric acid to form a hydroxynitrile. - Name the mechanism for this reaction. (1) - Outline the mechanism for this reaction, showing all relevant curly arrows, lone pairs, and formal charges. (4)
(b) The product of the reaction in part (a) is a mixture that has no effect on plane-polarized light, even though it contains a chiral carbon. Explain why this product is optically inactive. (3)
(c) Explain why potassium cyanide (\(\text{KCN}\)) is used in this reaction alongside dilute sulfuric acid, rather than using hydrogen cyanide (\(\text{HCN}\)) alone. (2)
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Worked solution
(a) Mechanism: Nucleophilic addition. Steps: 1. Nucleophilic attack by cyanide ion (\(:\text{CN}^-\)) on the carbonyl carbon (\(\text{C}^{\delta+}\)). Curly arrow from the lone pair on the carbon of \(:\text{CN}^-\) to the carbonyl carbon. Curly arrow from the \(\text{C}=\text{O}\) double bond to the oxygen atom. 2. Formation of an intermediate with a negative charge on oxygen (\(\text{CH}_3\text{CH}_2\text{CH}(\text{O}^-)\text{CN}\)). 3. Protonation of the intermediate: Curly arrow from the lone pair on the negative oxygen atom to a hydrogen ion (\(\text{H}^+\)) to form the OH group. (b) The carbonyl carbon in propanal has a planar shape around the \(\text{C}=\text{O}\) group. The nucleophile (\(:\text{CN}^-\)) is equally likely to attack the planar carbonyl carbon from either above or below. This produces an equimolar mixture (racemic mixture / racemate) of both enantiomers, which rotate plane-polarized light by equal amounts in opposite directions, canceling out the overall optical activity. (c) HCN is a very weak acid and dissociates poorly, providing a very low concentration of the nucleophile, \(\text{CN}^-\). KCN is ionic and fully dissociates, providing a much higher concentration of \(\text{CN}^-\), which increases the rate of reaction. Furthermore, HCN is a highly toxic, volatile gas, whereas KCN can be handled safely in solution.
Marking scheme
(a) M1: Nucleophilic addition. (1) M2: Curly arrow from lone pair on carbon of \(:\text{CN}^-\)- to the carbonyl carbon. (1) M3: Curly arrow from \(\text{C}=\text{O}\) double bond to O. (1) M4: Correct intermediate structure with negative charge on O. (1) M5: Curly arrow from lone pair on \(\text{O}^-\)- to \(\text{H}^+\). (1) (b) M1: Carbonyl carbon is planar. (1) M2: Attack by \(\text{CN}^-\) is equally likely from above or below. (1) M3: Leads to an equimolar mixture of two enantiomers (racemate) which cancel each other's optical rotation. (1) (c) M1: HCN is a weak acid / dissociates poorly (or KCN provides a much higher concentration of the nucleophile \(\text{CN}^-\)). (1) M2: Safety reason: HCN is a toxic gas, whereas KCN is safer / easier to control in solution with acid. (1)
Question 8 · Structured
10 marks
This question is about the chemistry of transition metal complexes and catalysis.
(a) Aqueous peroxodisulfate ions (\(\text{S}_2\text{O}_8^{2-}\)) react slowly with iodide ions (\(\text{I}^-\)). The reaction is catalyzed by iron(II) ions, \(\text{Fe}^{2+}\). - Explain, in terms of activation energy and electrostatic forces, why the uncatalyzed reaction is slow. (2) - Write two equations to show how \(\text{Fe}^{2+}\) acts as a homogeneous catalyst for this reaction. (2)
(b) When excess concentrated hydrochloric acid is added to an aqueous solution containing hexaaquacobalt(II) ions, \([\text{Co}(\text{H}_2\text{O})_6]^{2+}\), a reaction occurs. - Write a balanced equation for this ligand substitution reaction. (2) - State the color change observed during this reaction. (1) - State the shape of the product complex ion and explain why the coordination number changes. (3)
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Worked solution
(a) The uncatalyzed reaction involves the collision of two negatively charged ions. These ions repel each other electrostatically, leading to a high activation energy and a very slow rate of reaction. Equations for catalyzed reaction: 1) \(2\text{Fe}^{2+}(aq) + \text{S}_2\text{O}_8^{2-}(aq) \rightarrow 2\text{Fe}^{3+}(aq) + 2\text{SO}_4^{2-}(aq)\) 2) \(2\text{Fe}^{3+}(aq) + 2\text{I}^-(aq) \rightarrow 2\text{Fe}^{2+}(aq) + \text{I}_2(aq)\) (b) Equation: \([\text{Co}(\text{H}_2\text{O})_6]^{2+} + 4\text{Cl}^- \rightarrow [\text{CoCl}_4]^{2-} + 6\text{H}_2\text{O}\) Color change: Pink to blue. Shape of product: Tetrahedral. Reason for change in coordination number: The chloride ligands are much larger than the water ligands. Therefore, fewer chloride ligands (only 4 instead of 6) can fit around the central cobalt(II) ion due to steric hindrance / repulsion between the larger ligands.
Marking scheme
(a) M1: Both reactant ions are negatively charged so they repel each other. (1) M2: This results in a high activation energy. (1) M3: Equation 1: \(2\text{Fe}^{2+} + \text{S}_2\text{O}_8^{2-} \rightarrow 2\text{Fe}^{3+} + 2\text{SO}_4^{2-}\). (1) M4: Equation 2: \(2\text{Fe}^{3+} + 2\text{I}^- \rightarrow 2\text{Fe}^{2+} + \text{I}_2\). (1) (b) M1: Correct reactant and product formulas (\([\text{Co}(\text{H}_2\text{O})_6]^{2+}\) and \([\text{CoCl}_4]^{2-}\)). (1) M2: Correctly balanced equation. (1) M3: Color change: Pink to blue. (1) M4: Shape: Tetrahedral. (1) M5: Chloride ions are larger than water molecules (or have a negative charge, causing more mutual repulsion). (1) M6: Only four chloride ions can fit around the cobalt ion. (1)
Unit 5 Section A
Answer all questions in the spaces provided.
3 Question · 30 marks
Question 1 · Practical Structured
10 marks
An experiment was carried out to determine the percentage by mass of copper in a brass alloy using an iodometric titration.
**Step 1:** A sample of brass of mass \(2.80\text{ g}\) was reacted completely with concentrated nitric acid. **Step 2:** The resulting solution was neutralized and made up to exactly \(250.0\text{ cm}^3\) with distilled water in a volumetric flask. **Step 3:** A \(25.0\text{ cm}^3\) portion of this solution was pipetted into a conical flask, and an excess of potassium iodide solution was added. **Step 4:** The liberated iodine was titrated with \(0.100\text{ mol dm}^{-3}\) sodium thiosulfate solution using starch indicator.
The titration was repeated, and the mean titre of sodium thiosulfate solution was found to be \(21.80\text{ cm}^3\).
(a) Write the ionic equation for the reaction of copper(II) ions with iodide ions in Step 3. [1 mark]
(b) Write the ionic equation for the titration reaction between iodine and thiosulfate ions. [1 mark]
(c) Describe the color changes that occur in the conical flask during the titration, explaining the role of the starch indicator and how the endpoint is identified. [3 marks]
(d) Calculate the percentage by mass of copper in the brass sample. Give your answer to 3 significant figures. [5 marks]
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(c) Titrate the mixture until it becomes pale yellow/straw-colored. Then add a few drops of starch indicator, which turns the mixture blue-black. Continue titration dropwise until the blue-black color completely disappears, leaving a white/off-white precipitate (or cloudy creamy suspension).
(d) 1. Moles of \(\text{S}_2\text{O}_3^{2-}\) used: \(n = 0.02180\text{ dm}^3 \times 0.100\text{ mol dm}^{-3} = 2.180 \times 10^{-3}\text{ mol}\). 2. From the stoichiometry of the equations, \(2\text{Cu}^{2+} \equiv \text{I}_2 \equiv 2\text{S}_2\text{O}_3^{2-}\), so there is a 1:1 molar ratio between \(\text{Cu}^{2+}\) and \(\text{S}_2\text{O}_3^{2-}\). Therefore, moles of \(\text{Cu}^{2+}\) in the \(25.0\text{ cm}^3\) aliquot = \(2.180 \times 10^{-3}\text{ mol}\). 3. Moles of \(\text{Cu}^{2+}\) in the original \(250.0\text{ cm}^3\) solution: \(n(\text{total}) = 2.180 \times 10^{-3} \times 10 = 0.02180\text{ mol}\). 4. Mass of copper in the alloy: \(m = 0.02180\text{ mol} \times 63.5\text{ g mol}^{-1} = 1.3843\text{ g}\). 5. Percentage by mass of copper: \(\text{Percentage} = \frac{1.3843\text{ g}}{2.80\text{ g}} \times 100\% = 49.44\% \approx 49.4\%\).
(c) M1: Titrate to a pale yellow/straw color before adding starch. [1 mark] M2: Addition of starch turns the solution blue-black. [1 mark] M3: Endpoint is when the blue-black color completely disappears, leaving a white/off-white precipitate (accept 'turns colorless' or 'creamy precipitate remains'). [1 mark]
(d) M1: Moles of \(\text{S}_2\text{O}_3^{2-} = 2.180 \times 10^{-3}\text{ mol}\). [1 mark] M2: State or use 1:1 ratio between \(\text{Cu}^{2+}\) and \(\text{S}_2\text{O}_3^{2-}\) to find \(n(\text{Cu}^{2+}) = 2.180 \times 10^{-3}\text{ mol}\) in 25.0 cm3. [1 mark] M3: Scaling up to 250 cm3: \(n(\text{total Cu}^{2+}) = 0.02180\text{ mol}\). [1 mark] M4: Mass of copper = \(0.02180 \times 63.5 = 1.384\text{ g}\) (allow consequential error from incorrect moles). [1 mark] M5: Percentage by mass = 49.4% (must be to 3 significant figures; accept 49.5% if 63.55 is used for Ar of Cu). [1 mark]
Question 2 · Practical Structured
10 marks
A student investigated the kinetics of the reaction between hydrogen peroxide and iodide ions in acidic solution:
The student used the iodine clock reaction. The reaction mixture contained hydrogen peroxide, potassium iodide, sulfuric acid, starch indicator, and a small fixed volume of sodium thiosulfate solution.
(a) Explain the role of the sodium thiosulfate in this reaction mixture and how it helps determine the rate of reaction. [2 marks]
(b) Explain why the concentration of hydrogen peroxide and iodide ions can be assumed to be constant during the time measured. [2 marks]
(c) In three separate experiments at constant temperature, the time taken, \(t\), for the blue-black color to appear was measured. The results are shown in the table below:
Deduce the order of reaction with respect to \(\text{H}_2\text{O}_2\) and \(\text{I}^-\). Show your working. [4 marks]
(d) Write the rate equation for this reaction. Using the results of Experiment 1, calculate the rate constant, \(k\), stating its units. Assume the initial rate of reaction is represented by \(\frac{1}{t}\). [2 marks]
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Worked solution
(a) Sodium thiosulfate reacts immediately with any iodine produced: \(\text{I}_2 + 2\text{S}_2\text{O}_3^{2-} \rightarrow 2\text{I}^- + \text{S}_4\text{O}_6^{2-}\). This prevents iodine from reacting with starch. Once all the sodium thiosulfate is consumed, the iodine accumulates and reacts with starch, turning the solution blue-black. The time taken for this color change is inversely proportional to the initial rate of reaction.
(b) The amount of thiosulfate is very small compared to the reactants. Therefore, only a very small, negligible fraction of the reactants is consumed before the blue-black color appears, meaning their concentrations remain virtually constant during this period.
(c) - Comparing Exp 1 and Exp 2: \([\text{H}_2\text{O}_2]\) is doubled, while \([\text{I}^-]\) remains constant. The time taken halves from 44.0 s to 22.0 s. Since \(\text{Rate} \propto \frac{1}{t}\), the rate doubles. Therefore, the order with respect to \(\text{H}_2\text{O}_2\) is 1. - Comparing Exp 1 and Exp 3: \([\text{I}^-]\) is doubled, while \([\text{H}_2\text{O}_2]\) remains constant. The time taken halves from 44.0 s to 22.0 s. Thus, the rate doubles. Therefore, the order with respect to \(\text{I}^-\) is 1.
(a) M1: Sodium thiosulfate reacts with iodine as soon as it is formed (converting it back to iodide). [1 mark] M2: When all thiosulfate is used up, free iodine reacts with starch to turn the solution blue-black, allowing the time taken for a fixed amount of reaction to be measured. [1 mark]
(b) M1: The amount of thiosulfate added is very small. [1 mark] M2: Hence, only a tiny/insignificant fraction of the reactants is used up by the time the color change occurs. [1 mark]
(c) M1: In Exp 1 and 2, when \([\text{H}_2\text{O}_2]\) doubles (with \([\text{I}^-]\) constant), the time halves, so rate doubles. [1 mark] M2: Therefore, order with respect to \(\text{H}_2\text{O}_2\) is 1. [1 mark] M3: In Exp 1 and 3, when \([\text{I}^-]\) doubles (with \([\text{H}_2\text{O}_2]\) constant), the time halves, so rate doubles. [1 mark] M4: Therefore, order with respect to \(\text{I}^-\) is 1. [1 mark]
(d) M1: \(\text{Rate} = k[\text{H}_2\text{O}_2][\text{I}^-]\) (consequential on orders from part c). [1 mark] M2: \(k = 11.4\) (accept range \(11.3 - 11.4\)) and units \(\text{dm}^3\text{ mol}^{-1}\text{ s}^{-1}\). [1 mark]
Question 3 · Practical Structured
10 marks
Cyclohexene (boiling point \(83^\circ\text{C}\)) can be prepared by the dehydration of cyclohexanol (boiling point \(161^\circ\text{C}\)) using concentrated phosphoric acid as a catalyst.
(a) Draw a labeled diagram of the distillation apparatus suitable for preparing and collecting a sample of crude cyclohexene from the reaction mixture. [3 marks]
(b) The crude cyclohexene collected is contaminated with water, unreacted cyclohexanol, and traces of phosphoric acid. Describe the practical steps required to obtain a pure, dry sample of cyclohexene from this crude distillate. In your answer, include the reagents used and the separation techniques. [5 marks]
(c) Describe a simple chemical test, other than spectroscopy, that you could perform to confirm that the final product is an alkene. State the reagent and the expected observation. [2 marks]
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Worked solution
(a) The diagram must show: 1. A round-bottomed or pear-shaped flask containing the reaction mixture, heated with a heat source (e.g., electric heating mantle or water bath/sand bath). 2. A still head containing a thermometer (with bulb level with the side-arm). 3. A condenser with water flowing in at the bottom and out at the top, connected to a receiver adapter leading to a collection vessel (e.g., conical flask or measuring cylinder). *(Note: The system must not be sealed/closed, i.e., there must be an opening to the air at the receiver).*
(b) Purification steps: 1. Transfer the crude distillate to a separating funnel. 2. Add sodium hydrogencarbonate solution to neutralize any phosphoric acid. Shake, releasing pressure regularly by opening the tap. 3. Allow the mixture to settle into two layers. Discard the lower aqueous layer, retaining the upper organic layer. 4. Wash the organic layer with water (or saturated NaCl solution) in the separating funnel, and separate again, discarding the aqueous layer. 5. Transfer the cyclohexene layer to a clean conical flask and add an anhydrous drying agent (such as anhydrous calcium chloride, \(\text{CaCl}_2\), or anhydrous magnesium sulfate, \(\text{MgSO}_4\)). Shake and leave until the liquid becomes clear. 6. Decant or filter the dry liquid into a clean flask and perform a final redistillation, collecting the fraction that boils close to the boiling point of cyclohexene (e.g., \(81-85^\circ\text{C}\)).
(c) Add a few drops of bromine water. The orange/brown solution will decolorize (turn colorless).
Marking scheme
(a) M1: Flask with heat source and thermometer correctly positioned (bulb level with side arm). [1 mark] M2: Downward condenser with correct water flow direction (in at bottom, out at top). [1 mark] M3: Completed collection system that is open to the air (not sealed). [1 mark]
(b) M1: Use a separating funnel to separate the layers. [1 mark] M2: Add sodium hydrogencarbonate (or sodium carbonate) solution to neutralize acidic impurities (and release pressure/gas). [1 mark] M3: Discard the aqueous layer (retaining the organic/upper layer). [1 mark] M4: Add an anhydrous drying agent (e.g., anhydrous \(\text{CaCl}_2\), \(\text{MgSO}_4\), or \(\text{Na}_2\text{SO}_4\)) to dry the organic layer until clear. [1 mark] M5: Decant/filter and redistill, collecting the fraction boiling between \(81-85^\circ\text{C}\). [1 mark]
(c) M1: Reagent: Bromine water (or bromine in organic solvent, or alkaline \(\text{KMnO}_4\)). [1 mark] M2: Observation: Turns from orange/brown to colorless (or purple to colorless/brown ppt for permanganate). [1 mark]
Unit 5 Section B
Select the single best response for each multiple-choice question.
30 Question · 30 marks
Question 1 · multiple choice
1 marks
For a particular reaction, \(\Delta H^\ominus = +135\text{ kJ mol}^{-1}\) and \(\Delta S^\ominus = +285\text{ J K}^{-1}\text{ mol}^{-1}\). At what temperature does this reaction become feasible?
A.Above \(474\text{ K}\)
B.Below \(474\text{ K}\)
C.Above \(0.474\text{ K}\)
D.Above \(2.11\text{ K}\)
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Worked solution
For a reaction to be feasible, the Gibbs free energy change must be negative: \(\Delta G^\ominus = \Delta H^\ominus - T\Delta S^\ominus < 0\). Rearranging this inequality gives \(T > \frac{\Delta H^\ominus}{\Delta S^\ominus}\). Converting the enthalpy change to joules: \(T > \frac{135000}{285} \approx 473.68\text{ K}\). Therefore, the reaction becomes feasible above \(474\text{ K}\).
Marking scheme
Award 1 mark for the correct calculation showing that feasibility is achieved above 474 K (Choice A).
Question 2 · multiple choice
1 marks
Which of the following complex ions can exist as a pair of enantiomers (optical isomers)?
A.\(\text{[Co(H_2NCH_2CH_2NH_2)_3]^{3+}}\)
B.\(\text{trans-[Co(H_2NCH_2CH_2NH_2)_2Cl_2]^+}\)
C.\(\text{trans-[Co(NH_3)_4Cl_2]^+}\)
D.\(\text{cis-[Pt(NH_3)_2Cl_2]}\)
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Worked solution
The octahedral complex ion \(\text{[Co(H_2NCH_2CH_2NH_2)_3]^{3+}}\) contains three bidentate ligands and has no plane of symmetry, which allows it to exist as two non-superimposable mirror images (enantiomers). The trans-isomers in options B and C possess a plane of symmetry and are achiral. Option D is a square planar complex and does not exhibit optical isomerism.
Marking scheme
Award 1 mark for identifying that only the tris-ethylenediamine complex is chiral (Choice A).
Question 3 · multiple choice
1 marks
Propanal reacts with hydrogen cyanide, HCN, in the presence of potassium cyanide, KCN. Which statement about the mechanism of this reaction is correct?
A.The first step involves nucleophilic attack by a cyanide ion on the carbonyl carbon atom.
B.The first step involves nucleophilic attack by a hydride ion on the carbonyl oxygen atom.
C.The reaction yields a single enantiomer of 2-hydroxybutanenitrile.
D.The reaction is classified as electrophilic addition.
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Worked solution
The reaction of propanal with HCN/KCN is a nucleophilic addition reaction. The first step is the nucleophilic attack of the cyanide ion, \(\text{CN}^-\), on the electron-deficient carbonyl carbon. The product, 2-hydroxybutanenitrile, is formed as a racemic mixture because the planar carbonyl group allows equal probability of attack from above or below the plane, meaning it is optically inactive.
Marking scheme
Award 1 mark for identifying the correct mechanical description of the nucleophilic attack (Choice A).
Question 4 · multiple choice
1 marks
Samples of silicon dioxide, phosphorus(V) oxide, and sulfur trioxide are separately added to excess water. Which of the following lists the resulting mixtures in order of increasing pH?
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Worked solution
Sulfur trioxide (\(\text{SO}_3\)) reacts vigorously with water to form sulfuric acid (\(\text{H}_2\text{SO}_4\)), a strong diprotic acid with a typical pH around 0-1. Phosphorus(V) oxide (\(\text{P}_4\text{O}_{10}\)) reacts to form phosphoric acid (\(\text{H}_3\text{PO}_4\)), a weaker triprotic acid with a pH of around 1-2. Silicon dioxide (\(\text{SiO}_2\)) is giant covalent and insoluble in water, so the resulting pH is neutral (7). The correct order of increasing pH is \(\text{SO}_3 < \text{P}_4\text{O}_{10} < \text{SiO}_2\).
Marking scheme
Award 1 mark for ordering the three oxides correctly from lowest to highest pH (Choice A).
Question 5 · multiple choice
1 marks
A sample of pure calcium carbonate (\(\text{CaCO}_3\), \(M_{\text{r}} = 100.1\)) was thermally decomposed completely according to the equation: \(\text{CaCO}_3\text{(s)} \to \text{CaO(s)} + \text{CO}_2\text{(g)}\). The carbon dioxide gas produced occupied a volume of \(348\text{ cm}^3\) at a temperature of \(298\text{ K}\) and a pressure of \(100\text{ kPa}\). What was the mass of the calcium carbonate sample? (The gas constant \(R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}\))
A.1.41 g
B.1.45 g
C.14.1 g
D.0.141 g
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Worked solution
First calculate the moles of CO2 using \(pV = nRT\). Convert pressure: \(100\text{ kPa} = 100 \times 10^3\text{ Pa}\); convert volume: \(348\text{ cm}^3 = 348 \times 10^{-6}\text{ m}^3\). \(n = \frac{pV}{RT} = \frac{100 \times 10^3 \times 348 \times 10^{-6}}{8.31 \times 298} \approx 0.01405\text{ mol}\). Because the molar ratio of CaCO3 to CO2 is 1:1, moles of CaCO3 decomposed is also \(0.01405\text{ mol}\). Finally, \(\text{mass} = n \times M_{\text{r}} = 0.01405 \times 100.1 \approx 1.41\text{ g}\).
Marking scheme
Award 1 mark for the correct calculation of mass using the ideal gas equation (Choice A).
Question 6 · multiple choice
1 marks
Which of the following equations best explains why an aqueous solution of iron(III) chloride is acidic?
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Worked solution
Iron(III) chloride dissolves in water to form the hexaaqua complex ion \(\text{[Fe(H_2O)_6]^{3+}}\). Due to the high charge-to-size ratio (charge density) of the iron(III) ion, the oxygen-hydrogen bonds in the coordinated water molecules are strongly polarized. This allows a water molecule from the solvent to act as a base and accept a proton, forming hydronium ions (\(\text{H_3O^+}\)) according to: \(\text{[Fe(H_2O)_6]^{3+}(aq)} + \text{H_2O(l)} \rightleftharpoons \text{[Fe(H_2O)_5(OH)]^{2+}(aq)} + \text{H_3O^+(aq)}\).
Marking scheme
Award 1 mark for choosing the correct equilibrium equation representing the hydrolysis of the hexaaquairon(III) ion (Choice A).
Question 7 · multiple choice
1 marks
Consider the following thermodynamic data for the formation of magnesium chloride, \(\text{MgCl}_2\text{(s)}\): Enthalpy of formation of \(\text{MgCl}_2\text{(s)} = -642\text{ kJ mol}^{-1}\); Enthalpy of atomisation of magnesium \(= +148\text{ kJ mol}^{-1}\); First ionisation energy of magnesium \(= +738\text{ kJ mol}^{-1}\); Second ionisation energy of magnesium \(= +1451\text{ kJ mol}^{-1}\); Bond dissociation enthalpy of chlorine (\(\text{Cl}_2\)) \(= +242\text{ kJ mol}^{-1}\); Electron affinity of chlorine \(= -349\text{ kJ mol}^{-1}\). What is the lattice enthalpy of dissociation of \(\text{MgCl}_2\text{(s)}\)?
A.\(+2523\text{ kJ mol}^{-1}\)
B.\(+2872\text{ kJ mol}^{-1}\)
C.\(+2402\text{ kJ mol}^{-1}\)
D.\(+1239\text{ kJ mol}^{-1}\)
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Award 1 mark for correct calculation of the lattice dissociation enthalpy of MgCl2 (Choice A).
Question 8 · multiple choice
1 marks
Which of the following carbonyl compounds reacts with \(\text{HCN}\) to form a product that does NOT show optical isomerism?
A.Butanone
B.Propanal
C.Pentan-3-one
D.Pentan-2-one
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Worked solution
Pentan-3-one has the symmetrical structure \(\text{CH}_3\text{CH}_2\text{COCH}_2\text{CH}_3\). Upon reaction with \(\text{HCN}\), it forms 2-ethyl-2-hydroxybutanenitrile: \(\text{CH}_3\text{CH}_2\text{C(OH)(CN)CH}_2\text{CH}_3\). The central carbon is bonded to a hydroxyl group, a nitrile group, and two identical ethyl groups. Since it does not contain a carbon atom with four different groups attached, it lacks a chiral centre and is optically inactive.
Marking scheme
Award 1 mark for identifying the symmetrical ketone that yields an achiral product (Choice C).
Question 9 · multiple choice
1 marks
The decomposition of dinitrogen tetraoxide is an endothermic process:
2. For a reaction to be feasible, \(\Delta G^\ominus < 0\). Since \(\Delta G^\ominus = \Delta H^\ominus - T\Delta S^\ominus\), we have: \(\Delta H^\ominus - T\Delta S^\ominus < 0 \implies T > \frac{\Delta H^\ominus}{\Delta S^\ominus}\)
3. Substitute the values (remembering to convert \(\Delta H^\ominus\) to \(\text{J mol}^{-1}\)): \(T > \frac{58.0 \times 10^3}{176} \approx 330\text{ K}\).
Marking scheme
[1 mark] Correctly identifies 330 K as the minimum temperature.
Question 10 · multiple choice
1 marks
Which of the following ligand substitution reactions exhibits the most positive entropy change, \(\Delta S^\ominus\)?
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Worked solution
The entropy change of a ligand substitution reaction is primarily determined by the change in the total number of species in solution. - In reaction a: 7 species react to form 7 species (\(\Delta n = 0\)). - In reaction b: 2 species react to form 2 species (\(\Delta n = 0\)). - In reaction c: 5 species react to form 7 species (\(\Delta n = +2\)). - In reaction d: 4 species react to form 7 species (\(\Delta n = +3\)), since \(\text{H}_2\text{NCH}_2\text{CH}_2\text{NH}_2\) (1,2-diaminoethane) is a bidentate ligand. This significant increase in the number of particles in solution leads to the most positive entropy change (the chelate effect).
Marking scheme
[1 mark] Correctly identifies reaction d.
Question 11 · multiple choice
1 marks
Which of the following describes the behavior of a Period 3 oxide when added to water?
A.\(\text{SiO}_2\) dissolves readily to form a weak acid with pH 5.
B.\(\text{P}_4\text{O}_{10}\) reacts violently to form a solution with pH 1–2.
C.\(\text{Al}_2\text{O}_3\) dissolves slowly to form an amphoteric solution with pH 7.
D.\(\text{SO}_2\) reacts with water to form a strong solution of sulfuric(VI) acid with pH 1.
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Worked solution
- \(\text{SiO}_2\) has a giant covalent macromolecular structure and is completely insoluble in water (thus option a is incorrect). - Phosphorus(V) oxide (\(\text{P}_4\text{O}_{10}\)) reacts vigorously and exothermically with water to form phosphoric(V) acid (\(\text{H}_3\text{PO}_4\)), which is a strong acid and gives a solution with pH 1-2 (thus option b is correct). - Aluminium oxide is completely insoluble in water (thus option c is incorrect). - Sulfur dioxide (\(\text{SO}_2\)) reacts with water to form sulfurous acid (sulfuric(IV) acid, \(\text{H}_2\text{SO}_3\)), which is a weak acid (thus option d is incorrect).
Marking scheme
[1 mark] Correctly identifies option B.
Question 12 · multiple choice
1 marks
An organic compound \(X\) has the molecular formula \(\text{C}_4\text{H}_8\text{O}\). When \(X\) is reduced by \(\text{NaBH}_4\), it forms compound \(Y\). Dehydration of compound \(Y\) using concentrated sulfuric acid yields a single alkene \(Z\) that does not show stereoisomerism (E/Z isomerism). What is compound \(X\)?
A.Butanone
B.Butanal
C.2-Methylpropanal
D.Pentan-3-one
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Worked solution
- If \(X\) is butanone, reduction yields butan-2-ol, which dehydrates to form a mixture of but-1-ene and but-2-ene (which shows E/Z isomerism). - If \(X\) is butanal, reduction yields butan-1-ol, which dehydrates to form a mixture of but-1-ene and but-2-ene. - If \(X\) is 2-methylpropanal, reduction yields 2-methylpropan-1-ol, \(\text{(CH}_3)_2\text{CH-CH}_2\text{OH}\). Dehydration of this primary alcohol removes \(\text{-OH}\) from C1 and \(\text{-H}\) from C2, giving 2-methylpropene, \(\text{(CH}_3)_2\text{C=CH}_2\). This is the only possible alkene that can form from this alcohol, and since one double-bonded carbon has two identical hydrogen atoms, it does not display E/Z isomerism. - Pentan-3-one has the wrong molecular formula (\(\text{C}_5\text{H}_{10}\text{O}\)). Therefore, the correct compound is 2-methylpropanal.
Marking scheme
[1 mark] Correctly identifies 2-methylpropanal.
Question 13 · multiple choice
1 marks
A sample of \(0.92\text{ g}\) of a primary alcohol \(V\) is oxidized completely to a carboxylic acid \(W\) using excess acidified potassium dichromate(VI). The resulting mixture is distilled, and the distillate containing \(W\) is diluted with distilled water to a total volume of \(250\text{ cm}^3\). A \(25.0\text{ cm}^3\) portion of this diluted solution is titrated against \(0.100\text{ mol dm}^{-3}\) sodium hydroxide solution. It requires \(20.0\text{ cm}^3\) of the \(\text{NaOH}\) solution for complete neutralisation. What is the identity of alcohol \(V\)?
A.Methanol
B.Ethanol
C.Propan-1-ol
D.Butan-1-ol
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Worked solution
1. Moles of \(\text{NaOH}\) in titration: \(n(\text{NaOH}) = C \times V = 0.100\text{ mol dm}^{-3} \times 0.0200\text{ dm}^3 = 0.00200\text{ mol}\)
2. Since the carboxylic acid \(W\) is monoprotic, the moles of \(W\) in the titrated \(25.0\text{ cm}^3\) portion is also \(0.00200\text{ mol}\).
3. Total moles of \(W\) in \(250\text{ cm}^3\): \(n_{\text{total}}(W) = 0.00200 \times \frac{250}{25.0} = 0.0200\text{ mol}\)
4. Since oxidation of a primary alcohol to a carboxylic acid is in a \(1:1\) molar ratio, the moles of alcohol \(V\) originally present is \(0.0200\text{ mol}\).
5. Calculate the molar mass of alcohol \(V\): \(M_r = \frac{\text{mass}}{\text{moles}} = \frac{0.92\text{ g}}{0.0200\text{ mol}} = 46.0\text{ g mol}^{-1}\)
6. Ethanol (\(\text{CH}_3\text{CH}_2\text{OH}\)) has a molecular formula of \(\text{C}_2\text{H}_6\text{O}\), with \(M_r = 2 \times 12.0 + 6 \times 1.0 + 16.0 = 46.0\text{ g mol}^{-1}\), matching alcohol \(V\).
Which of the following processes is NOT thermodynamically feasible under standard conditions?
A.The reduction of \(\text{Ag}^+(\text{aq})\) ions by iron metal, \(\text{Fe}(\text{s})\).
B.The reduction of \(\text{Fe}^{3+}(\text{aq})\) ions by iron metal, \(\text{Fe}(\text{s})\).
C.The oxidation of \(\text{I}^-(\text{aq})\) ions by \(\text{Fe}^{3+}(\text{aq})\) ions.
D.The oxidation of \(\text{Ag}(\text{s})\) by \(\text{Fe}^{3+}(\text{aq})\) ions.
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Worked solution
The thermodynamic feasibility is determined by calculating the standard cell potential \(E^\ominus_{\text{cell}} = E^\ominus_{\text{reduction}} - E^\ominus_{\text{oxidation}}\). If \(E^\ominus_{\text{cell}} > 0\), the reaction is feasible. - For a: \(E^\ominus_{\text{cell}} = E^\ominus(\text{Ag}^+/\text{Ag}) - E^\ominus(\text{Fe}^{2+}/\text{Fe}) = +0.80 - (-0.44) = +1.24\text{ V}\) (feasible). - For b: \(E^\ominus_{\text{cell}} = E^\ominus(\text{Fe}^{3+}/\text{Fe}^{2+}) - E^\ominus(\text{Fe}^{2+}/\text{Fe}) = +0.77 - (-0.44) = +1.21\text{ V}\) (feasible). - For c: \(E^\ominus_{\text{cell}} = E^\ominus(\text{Fe}^{3+}/\text{Fe}^{2+}) - E^\ominus(\text{I}_2/\text{I}^-) = +0.77 - 0.54 = +0.23\text{ V}\) (feasible). - For d: \(E^\ominus_{\text{cell}} = E^\ominus(\text{Fe}^{3+}/\text{Fe}^{2+}) - E^\ominus(\text{Ag}^+/\text{Ag}) = +0.77 - 0.80 = -0.03\text{ V}\) (not feasible since \(E^\ominus_{\text{cell}} < 0\)).
Marking scheme
[1 mark] Correctly identifies process d.
Question 15 · multiple choice
1 marks
The rate of nucleophilic substitution of halogenoalkanes by hydroxide ions depends on several factors. Which of the following reactions has the fastest rate under identical conditions?
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Worked solution
The rate of nucleophilic substitution in halogenoalkanes is determined by the carbon-halogen bond strength (bond enthalpy). The weaker the C-X bond, the lower the activation energy, and the faster the reaction. - The bond enthalpies decrease in the order: \(\text{C-F} > \text{C-Cl} > \text{C-Br} > \text{C-I}\). - Therefore, the C-I bond is the easiest to break, making 1-iodobutane the most reactive. Although the C-I bond is the least polar, the bond enthalpy factor dominates over the bond polarity factor in determining substitution rates.
Marking scheme
[1 mark] Correctly identifies option C.
Question 16 · multiple choice
1 marks
In an acidic redox titration, \(25.0\text{ cm}^3\) of a \(0.0200\text{ mol dm}^{-3}\) solution of potassium manganate(VII), \(\text{KMnO}_4\), reacts completely with a solution of hydrogen peroxide, \(\text{H}_2\text{O}_2\).
The ionic equation for the reaction is: \(2\text{MnO}_4^-(\text{aq}) + 5\text{H}_2\text{O}_2(\text{aq}) + 6\text{H}^+(\text{aq}) \rightarrow 2\text{Mn}^{2+}(\text{aq}) + 5\text{O}_2(\text{g}) + 8\text{H}_2\text{O}(\text{l})\)
What volume of \(0.0500\text{ mol dm}^{-3}\) \(\text{H}_2\text{O}_2\) solution is required for complete reaction?
A.10.0 cm3
B.25.0 cm3
C.50.0 cm3
D.62.5 cm3
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Worked solution
1. Moles of \(\text{MnO}_4^-\): \(n(\text{MnO}_4^-) = C \times V = 0.0200\text{ mol dm}^{-3} \times 0.0250\text{ dm}^3 = 5.00 \times 10^{-4}\text{ mol}\)
2. From the stoichiometry of the reaction, \(2\text{ moles of } \text{MnO}_4^-\text{ react with } 5\text{ moles of } \text{H}_2\text{O}_2\): \(n(\text{H}_2\text{O}_2) = \frac{5}{2} \times n(\text{MnO}_4^-) = 2.5 \times 5.00 \times 10^{-4}\text{ mol} = 1.25 \times 10^{-3}\text{ mol}\)
[1 mark] Correctly calculates and identifies 25.0 cm3.
Question 17 · multiple-choice
1 marks
Some enthalpy data for calcium chloride, \(\text{CaCl}_2\), are given below:
- Enthalpy of formation of \(\text{CaCl}_2(s)\) = \(-796\text{ kJ mol}^{-1}\) - Enthalpy of atomisation of calcium = \(+178\text{ kJ mol}^{-1}\) - First ionisation energy of calcium = \(+590\text{ kJ mol}^{-1}\) - Second ionisation energy of calcium = \(+1145\text{ kJ mol}^{-1}\) - Bond dissociation enthalpy of chlorine, \(\text{Cl}_2\) = \(+242\text{ kJ mol}^{-1}\) - Electron affinity of chlorine = \(-349\text{ kJ mol}^{-1}\)
What is the lattice enthalpy of dissociation, in \(\text{kJ mol}^{-1}\), of calcium chloride?
A.\(+2253\)
B.\(+2602\)
C.\(+661\)
D.\(+2132\)
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Worked solution
According to the Born-Haber cycle: \(\Delta H^\theta_f(\text{CaCl}_2) = \Delta H^\theta_{\text{at}}(\text{Ca}) + 1\text{st IE}(\text{Ca}) + 2\text{nd IE}(\text{Ca}) + \Delta H^\theta_{\text{diss}}(\text{Cl}_2) + 2 \times \text{EA}(\text{Cl}) - \Delta H^\theta_L(\text{diss})\)
1 mark for correct calculation and selection of option A. 0 marks for any other response.
Question 18 · multiple-choice
1 marks
Which of the following represents the total number of isomeric alkene products (including both structural isomers and stereoisomers) formed in the acid-catalysed dehydration of pentan-2-ol?
A.2
B.3
C.4
D.5
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Worked solution
Dehydration of pentan-2-ol, \(\text{CH}_3\text{CH(OH)}\text{CH}_2\text{CH}_2\text{CH}_3\), occurs via elimination of a water molecule. Elimination can take place from either adjacent carbon: 1. Removing hydrogen from carbon-1 gives pent-1-ene (1 structural isomer). 2. Removing hydrogen from carbon-3 gives pent-2-ene. Pent-2-ene displays geometric (E/Z) isomerism, and thus exists as both (E)-pent-2-ene and (Z)-pent-2-ene (2 stereoisomers).
Thus, a total of 3 isomeric alkenes are formed.
Marking scheme
1 mark for correct choice of 3 isomers (Option B). 0 marks for any incorrect response.
Question 19 · multiple-choice
1 marks
Which of the following statements concerning the oxides of Period 3 elements is correct?
A.Sulfur dioxide reacts with water to form an alkaline solution.
B.Aluminium oxide is amphoteric and reacts with both acids and bases.
C.Silicon dioxide reacts with cold water to form a strong acid.
D.Sodium oxide has a molecular covalent structure with a low melting point.
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Worked solution
Aluminium oxide (\(\text{Al}_2\text{O}_3\)) is amphoteric, meaning it reacts with both acids (such as HCl) and bases (such as NaOH) to form salt and water.
- Option A is incorrect because sulfur dioxide dissolves in water to form sulfurous acid, which is an acidic solution (pH around 1-2). - Option C is incorrect because silicon dioxide is a macromolecular structure and is completely insoluble in water. - Option D is incorrect because sodium oxide has a giant ionic lattice structure, not molecular covalent.
Marking scheme
1 mark for identifying that aluminium oxide is amphoteric (Option B). 0 marks for incorrect options.
Question 20 · multiple-choice
1 marks
Which statement correctly describes the organic product formed when propanal is reacted with potassium cyanide followed by dilute sulfuric acid?
A.A single enantiomer of 2-hydroxybutanenitrile which is optically active.
B.A racemic mixture of 2-hydroxybutanenitrile which is optically inactive.
C.A single enantiomer of 2-hydroxypropanenitrile which is optically active.
D.A racemic mixture of 2-hydroxypropanenitrile which is optically inactive.
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Worked solution
Propanal (\(\text{CH}_3\text{CH}_2\text{CHO}\)) reacts with potassium cyanide followed by acid to form 2-hydroxybutanenitrile (\(\text{CH}_3\text{CH}_2\text{CH(OH)CN}\)) by nucleophilic addition.
The carbonyl carbon of propanal is planar, allowing the cyanide ion to attack with equal probability from either side of the plane. This results in the formation of equal amounts of both enantiomers, producing a racemic mixture which is optically inactive.
Marking scheme
1 mark for selecting Option B. 0 marks for incorrect options.
Question 21 · multiple-choice
1 marks
Which of the following explains why the reaction between peroxodisulfate ions, \(\text{S}_2\text{O}_8^{2-}\), and iodide ions, \(\text{I}^-\), is slow in the absence of a catalyst?
A.Both reactant ions are negatively charged, so they repel each other, resulting in a high activation energy.
B.The reaction is highly endothermic, requiring constant heat input.
C.Iodide ions are powerful oxidising agents that must be reduced by a metal catalyst.
D.The reactants are in different phases, so the collision frequency is extremely low.
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Worked solution
Both reactant ions (\(\text{S}_2\text{O}_8^{2-}\) and \(\text{I}^-\)) are negatively charged. Like charges repel each other, which creates a high activation energy barrier for the uncatalysed reaction, resulting in a very slow rate of reaction.
Marking scheme
1 mark for correct explanation (Option A). 0 marks for any other choice.
Question 22 · multiple-choice
1 marks
What volume, in \(\text{dm}^3\), is occupied by 5.50 g of carbon dioxide gas at a temperature of 350 K and a pressure of 120 kPa?
(The gas constant \(R = 8.31\text{ J K}^{-1}\text{mol}^{-1}\); the relative molecular mass of \(\text{CO}_2 = 44.0\))
A.3.03
B.1.33
C.0.00303
D.3030
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Worked solution
First, calculate the moles of \(\text{CO}_2\): \(n = \frac{\text{mass}}{M_r} = \frac{5.50}{44.0} = 0.125\text{ mol}\)
Convert pressure from kPa to Pa: \(p = 120 \times 10^3\text{ Pa} = 120,000\text{ Pa}\)
Use the ideal gas equation, \(pV = nRT\), to calculate volume \(V\) in \(\text{m}^3\): \(V = \frac{nRT}{p} = \frac{0.125 \times 8.31 \times 350}{120,000} = 0.0030297\text{ m}^3\)
Convert \(\text{m}^3\) to \(\text{dm}^3\) (multiply by 1000): \(V = 0.0030297 \times 1000 = 3.03\text{ dm}^3\)
Marking scheme
1 mark for the correct volume calculation (Option A). 0 marks for any other response.
Question 23 · multiple-choice
1 marks
Using the data provided, calculate the minimum temperature, in Kelvin, at which the decomposition of calcium carbonate becomes feasible.
For a reaction to be feasible, \(\Delta G^\theta \le 0\). The transition occurs where \(\Delta G^\theta = 0\): \(T = \frac{\Delta H^\theta}{\Delta S^\theta} = \frac{178,000}{160.4} = 1109.7\text{ K} \approx 1110\text{ K}\)
Marking scheme
1 mark for correct entropy change calculation and temperature calculation (Option A). 0 marks for any incorrect answer.
Question 24 · multiple-choice
1 marks
Which of the following halogenoalkanes undergoes nucleophilic substitution at the fastest rate when heated with aqueous silver nitrate in ethanol?
A.1-chlorobutane
B.1-bromobutane
C.1-iodobutane
D.2-chlorobutane
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Worked solution
The rate of hydrolysis of halogenoalkanes is determined by the bond enthalpy of the carbon-halogen bond. The C-I bond is the longest and weakest of all carbon-halogen bonds listed, meaning it requires the least energy to break. Therefore, 1-iodobutane reacts the fastest.
Marking scheme
1 mark for identifying 1-iodobutane (Option C) as the fastest reacting halogenoalkane. 0 marks for other choices.
Question 25 · Multiple Choice
1 marks
When an excess of concentrated hydrochloric acid is added to an aqueous solution containing hexaaquacobalt(II) ions, a ligand substitution reaction occurs. Which option correctly states the formula, coordination number, and color of the complex ion formed in this reaction?
A.\([CoCl_4]^{2-}\), coordination number 4, blue
B.\([CoCl_4]^{2-}\), coordination number 4, pink
C.\([CoCl_6]^{4-}\), coordination number 6, blue
D.\([CoCl_6]^{4-}\), coordination number 6, pink
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Worked solution
In this reaction, the larger chloride ligand replaces the smaller water ligands around the \(Co^{2+}\) central metal ion. Due to steric hindrance, only four chloride ligands can fit around the cobalt ion, resulting in a change in coordination number from 6 to 4, and a change in shape from octahedral to tetrahedral. The equation for the reaction is: \([Co(H_2O)_6]^{2+}(aq) + 4Cl^-(aq) \rightleftharpoons [CoCl_4]^{2-}(aq) + 6H_2O(l)\). The starting hexaaquacobalt(II) complex is pink, and the newly formed tetrachorocobaltate(II) complex, \([CoCl_4]^{2-}\), is blue. Thus, the correct option is A.
Marking scheme
1 mark: Correctly identifies formula as \([CoCl_4]^{2-}\), coordination number as 4, and color as blue.
Question 26 · Multiple Choice
1 marks
Which of the following aqueous solutions reacts with aqueous sodium carbonate, \(\text{Na}_2\text{CO}_3\), to form a precipitate of a metal hydroxide and a gas?
A.Aqueous copper(II) sulfate
B.Aqueous iron(II) sulfate
C.Aqueous aluminium sulfate
D.Aqueous cobalt(II) chloride
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Worked solution
Metal ions with a \(3+\) charge, such as \(Al^{3+}\) and \(Fe^{3+}\), have a high charge-to-size ratio (high charge density). This makes them strongly polarizing. They polarize the O-H bonds in the coordinated water molecules of the hexaaqua ion, releasing protons and making the solution distinctly acidic: \([Al(H_2O)_6]^{3+}(aq) + H_2O(l) \rightleftharpoons [Al(H_2O)_5(OH)]^{2+}(aq) + H_3O^+(aq)\). When carbonate ions (\(CO_3^{2-}\)) are added, they act as a base, accepting these protons. This shifts the acid-base equilibria further, resulting in the precipitation of the insoluble aluminium hydroxide and the liberation of carbon dioxide gas: \(2[Al(H_2O)_6]^{3+}(aq) + 3CO_3^{2-}(aq) \rightarrow 2[Al(H_2O)_3(OH)_3](s) + 3CO_2(g) + 3H_2O(l)\). In contrast, \(2+\) metal ions (like \(Cu^{2+}\), \(Fe^{2+}\), and \(Co^{2+}\)) have a lower charge density, are less acidic, and undergo a simple precipitation reaction to form the metal carbonate (e.g., \(CuCO_3\)), with no gas evolved. Therefore, aqueous aluminium sulfate (containing \(Al^{3+}\)) is the correct choice.
Marking scheme
1 mark: Selects the correct option (C) and understands that \(3+\) ions undergo hydrolysis reactions with carbonate to form a hydroxide precipitate and \(CO_2\) gas.
Question 27 · Multiple Choice
1 marks
During the nitration of benzene, a mixture of concentrated nitric acid and concentrated sulfuric acid is used to generate the electrophile. Which equation correctly shows how the active electrophile is generated in this mixture?
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Worked solution
In the preparation of the nitrating mixture, concentrated sulfuric acid acts as a stronger acid than concentrated nitric acid, protonating the nitric acid. The protonated nitric acid then loses a molecule of water to yield the nitronium ion (\(NO_2^+\)), which is the active electrophile. The overall equation for this protonation and subsequent dehydration is: \(\text{HNO}_3 + 2\text{H}_2\text{SO}_4 \rightarrow \text{NO}_2^+ + 2\text{HSO}_4^- + \text{H}_3\text{O}^+\). Thus, option B is the correct representation.
Marking scheme
1 mark: Correctly identifies the balanced equation showing the role of \(H_2SO_4\) as an acid and the generation of \(NO_2^+\) and \(H_3O^+\).
Question 28 · Multiple Choice
1 marks
Which of the following compounds is the strongest base in aqueous solution?
A.Phenylamine
B.Ammonia
C.Ethylamine
D.Diethylamine
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Worked solution
The strength of a base depends on the availability of the lone pair of electrons on the nitrogen atom to accept a proton (\(H^+\)). In diethylamine (a secondary amine), there are two ethyl groups which release electron density toward the nitrogen atom via the positive inductive effect. This increases the electron density on the nitrogen atom, making its lone pair more available than in ethylamine. In ethylamine (a primary amine), there is only one ethyl group releasing electron density via the inductive effect. Ammonia has no alkyl groups, so there is no inductive effect to increase the electron density on the nitrogen atom. In phenylamine (an aromatic amine), the lone pair of electrons on the nitrogen atom is delocalized into the \(\pi\)-system of the benzene ring, making it significantly less available to accept a proton. Therefore, the order of basic strength is: diethylamine > ethylamine > ammonia > phenylamine. Diethylamine is the strongest base, making D the correct answer.
Marking scheme
1 mark: Correctly identifies diethylamine as the strongest base due to the positive inductive effect of two alkyl groups.
Question 29 · Multiple Choice
1 marks
A condensation polymer has the following repeating unit: -[NH-CH2-CH2-NH-CO-CH2-CH2-CO]n-. Which pair of monomers can react together to form this polymer?
A.Ethane-1,2-diamine and propanedioic acid
B.Ethane-1,2-diamine and butanedioic acid
C.Propane-1,3-diamine and butanedioic acid
D.Ethane-1,2-diol and butanedioic acid
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Worked solution
The repeating unit is a polyamide, as indicated by the amide linkage (\(-\text{CO}-\text{NH}-\)). This is formed from a diamine and a dicarboxylic acid. By breaking the amide bonds in the repeating unit: 1. The diamine part is \(-\text{NH}-\text{CH}_2-\text{CH}_2-\text{NH}-\). Adding hydrogen atoms to the nitrogen atoms gives the monomer: \(\text{H}_2\text{N}-\text{CH}_2-\text{CH}_2-\text{NH}_2\) (ethane-1,2-diamine). 2. The dicarboxylic acid part is \(-\text{CO}-\text{CH}_2-\text{CH}_2-\text{CO}-\). Adding hydroxyl (\(-\text{OH}\)) groups to the carbonyl carbons gives the monomer: \(\text{HOOC}-\text{CH}_2-\text{CH}_2-\text{COOH}\) (butanedioic acid, containing four carbon atoms in total). Therefore, the monomers are ethane-1,2-diamine and butanedioic acid. This corresponds to option B.
Marking scheme
1 mark: Correctly deduces the structure of the diamine and dicarboxylic acid monomers from the polyamide repeating unit.
Question 30 · Multiple Choice
1 marks
Four structural isomers with the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\) are analyzed. Which of these isomers has exactly three peaks in its \(^{13}\text{C}\) NMR spectrum?
A.Ethyl ethanoate
B.Methyl propanoate
C.Propyl methanoate
D.Isopropyl methanoate
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Worked solution
To find the correct isomer, we count the number of unique carbon environments for each option: 1. Ethyl ethanoate (\(\text{CH}_3\text{COOCH}_2\text{CH}_3\)) has 4 different carbon environments (4 peaks). 2. Methyl propanoate (\(\text{CH}_3\text{CH}_2\text{COOCH}_3\)) has 4 different carbon environments (4 peaks). 3. Propyl methanoate (\(\text{HCOOCH}_2\text{CH}_2\text{CH}_3\)) has 4 different carbon environments (4 peaks). 4. Isopropyl methanoate (\(\text{HCOOCH}(\text{CH}_3)_2\)) has 3 different carbon environments: the methanoate carbon, the CH carbon, and the two equivalent methyl carbons attached to the CH group (3 peaks). Therefore, isopropyl methanoate is the correct option (D).
Marking scheme
1 mark: Correctly identifies isopropyl methanoate as having exactly three carbon environments due to the symmetry of the two methyl groups.
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