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Thinka Nov 2023 SL (TZ1) IB Diploma Programme-Style Mock — Chemistry

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An original Thinka practice paper modelled on the structure and difficulty of the Nov 2023 SL (TZ1) IB Diploma Programme Chemistry paper. Not affiliated with or reproduced from IB.

Paper 1 (Multiple Choice)

Answer all 30 questions. Choose the best option. No calculator allowed.
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PastPaper.question 1 · Multiple Choice
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Which species has a molecular geometry with a bond angle of approximately \(120^\circ\)?
  1. A.\(\text{H}_2\text{O}\)
  2. B.\(\text{SO}_2\)
  3. C.\(\text{NH}_3\)
  4. D.\(\text{CO}_2\)
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PastPaper.workedSolution

In \(\text{SO}_2\), there are 3 electron domains around the central sulfur atom (one lone pair and two bonding domains). This gives a trigonal planar electron domain geometry, leading to a bent molecular geometry with a bond angle of slightly less than \(120^\circ\) (specifically \(119^\circ\)). In contrast, \(\text{H}_2\text{O}\) has 4 electron domains (bent, \(104.5^\circ\)), \(\text{NH}_3\) has 4 electron domains (trigonal pyramidal, \(107^\circ\)), and \(\text{CO}_2\) has 2 electron domains (linear, \(180^\circ\)).

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PastPaper.question 2 · Multiple Choice
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Consider the following reversible reaction at equilibrium in a closed container: \(2\text{A}(g) + \text{B}(g) \rightleftharpoons 2\text{C}(g) \quad \Delta H < 0\). Which of the following changes will result in an increase in the value of the equilibrium constant, \(K_c\)?
  1. A.Increasing the total pressure of the system at constant temperature
  2. B.Adding a catalyst to the mixture
  3. C.Decreasing the temperature of the mixture
  4. D.Adding more reactant \(\text{A}(g)\) at constant volume
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PastPaper.workedSolution

The equilibrium constant, \(K_c\), is temperature-dependent only. Since the forward reaction is exothermic (\(\Delta H < 0\)), lowering/decreasing the temperature shifts the position of equilibrium to the right (favouring the exothermic direction to produce heat). This increases the concentration of products and decreases the concentration of reactants, thereby increasing the value of \(K_c\). Changes in pressure, concentration, or the addition of a catalyst do not affect the value of \(K_c\).

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PastPaper.question 3 · Multiple Choice
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In which of the following reactions does the dihydrogen phosphate ion, \(\text{H}_2\text{PO}_4^-\), act as a Brønsted-Lowry base?
  1. A.\(\text{H}_2\text{PO}_4^-(aq) + \text{OH}^-(aq) \rightleftharpoons \text{HPO}_4^{2-}(aq) + \text{H}_2\text{O}(l)\)
  2. B.\(\text{H}_2\text{PO}_4^-(aq) + \text{H}_2\text{O}(l) \rightleftharpoons \text{HPO}_4^{2-}(aq) + \text{H}_3\text{O}^+(aq)\)
  3. C.\(\text{H}_2\text{PO}_4^-(aq) + \text{HCO}_3^-(aq) \rightleftharpoons \text{HPO}_4^{2-}(aq) + \text{H}_2\text{CO}_3(aq)\)
  4. D.\(\text{H}_2\text{PO}_4^-(aq) + \text{HCl}(aq) \rightleftharpoons \text{H}_3\text{PO}_4(aq) + \text{Cl}^-(aq)\)
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PastPaper.workedSolution

According to the Brønsted-Lowry theory, a base is a proton (\(\text{H}^+\)) acceptor. In option D, \(\text{H}_2\text{PO}_4^-(aq)\) accepts a proton from hydrochloric acid (\(\text{HCl}\)) to form phosphoric acid (\(\text{H}_3\text{PO}_4\)). In the other reactions, \(\text{H}_2\text{PO}_4^-\rightleftharpoons \text{HPO}_4^{2-}\), showing that it donates a proton and thus acts as a Brønsted-Lowry acid.

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PastPaper.question 4 · Multiple Choice
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An oxide of sulfur contains exactly \(50.0\%\) sulfur by mass. What is the empirical formula of this oxide? (Molar masses: \(\text{S} = 32.07\text{ g mol}^{-1}\), \(\text{O} = 16.00\text{ g mol}^{-1}\))
  1. A.\(\text{SO}\)
  2. B.\(\text{SO}_2\)
  3. C.\(\text{SO}_3\)
  4. D.\(\text{S}_2\text{O}\)
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PastPaper.workedSolution

Assume a \(100\text{ g}\) sample of the oxide. Mass of \(\text{S} = 50.0\text{ g}\) and mass of \(\text{O} = 50.0\text{ g}\). Moles of \(\text{S} = \frac{50.0}{32.07} \approx 1.56\text{ mol}\). Moles of \(\text{O} = \frac{50.0}{16.00} = 3.125\text{ mol}\). Divide by the smallest value to find the ratio: \(\text{S}: \frac{1.56}{1.56} = 1\), \(\text{O}: \frac{3.125}{1.56} \approx 2\). The empirical formula is \(\text{SO}_2\).

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PastPaper.question 5 · Multiple Choice
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In which of the following species does chlorine have the highest oxidation state?
  1. A.\(\text{ClO}_2^-\)
  2. B.\(\text{ClO}_3^-\)
  3. C.\(\text{Cl}_2\text{O}_7\)
  4. D.\(\text{HClO}\)
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PastPaper.workedSolution

We can calculate the oxidation states of chlorine in each species: A) In \(\text{ClO}_2^-\), \(\text{Cl} + 2(-2) = -1 \implies \text{Cl} = +3\). B) In \(\text{ClO}_3^-\), \(\text{Cl} + 3(-2) = -1 \implies \text{Cl} = +5\). C) In \(\text{Cl}_2\text{O}_7\), \(2(\text{Cl}) + 7(-2) = 0 \implies 2\text{Cl} = 14 \implies \text{Cl} = +7\). D) In \(\text{HClO}\), \(+1 + \text{Cl} + (-2) = 0 \implies \text{Cl} = +1\). Therefore, chlorine has the highest oxidation state of \(+7\) in \(\text{Cl}_2\text{O}_7\).

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PastPaper.question 6 · Multiple Choice
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How does a catalyst increase the rate of a chemical reaction?
  1. A.By increasing the average kinetic energy of the reactant molecules.
  2. B.By increasing the total number of collisions between reactant molecules per second.
  3. C.By providing an alternative reaction pathway with a lower activation energy.
  4. D.By increasing the enthalpy change (\(\Delta H\)) of the reaction.
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PastPaper.workedSolution

A catalyst provides an alternative reaction pathway with a lower activation energy (\(E_a\)). This increases the fraction of collisions with energy equal to or greater than the activation energy, thereby increasing the rate of reaction. It does not affect the average kinetic energy (which depends on temperature), nor does it change the overall enthalpy change (\(\Delta H\)) or significantly alter the total number of collisions per second.

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PastPaper.question 7 · Multiple Choice
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Which functional groups are present in the compound represented by the formula \(\text{CH}_3\text{CH}(\text{OH})\text{COOCH}_3\)?
  1. A.Alcohol and ketone
  2. B.Alcohol and ester
  3. C.Carboxylic acid and ester
  4. D.Ether and ketone
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PastPaper.workedSolution

The structure contains an \(-\text{OH}\) group attached to a saturated carbon atom, which represents an alcohol (hydroxyl) group. It also contains a \(-\text{COO}-\) group bonded to a methyl group (\(-\text{COOCH}_3\)), which is an ester group. Therefore, the compound contains both alcohol and ester functional groups.

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PastPaper.question 8 · Multiple Choice
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A species represented as \(^{59}_{27}\text{Co}^{2+}\) contains which combination of protons, neutrons, and electrons?
  1. A.27 protons, 32 neutrons, 25 electrons
  2. B.27 protons, 32 neutrons, 29 electrons
  3. C.25 protons, 34 neutrons, 27 electrons
  4. D.29 protons, 30 neutrons, 27 electrons
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PastPaper.workedSolution

The atomic number of Cobalt (Co) is 27, which represents the number of protons. The mass number is 59, which is the sum of protons and neutrons, meaning the number of neutrons is \(59 - 27 = 32\). The charge of \(2+\) indicates the species has lost 2 electrons compared to its neutral state, so the number of electrons is \(27 - 2 = 25\). This corresponds to option A.

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PastPaper.question 9 · Multiple Choice
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Which of the following compounds is classified as a tertiary alcohol?
  1. A.2-methylbutan-2-ol
  2. B.3-methylbutan-2-ol
  3. C.pentan-3-ol
  4. D.2,2-dimethylpropan-1-ol
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PastPaper.workedSolution

An alcohol is classified as tertiary when the carbon atom bonded to the hydroxyl (-OH) group is directly attached to three other carbon atoms. Let us analyze the structures of the options: a) 2-methylbutan-2-ol has the formula CH3-C(OH)(CH3)-CH2-CH3. The carbon with the -OH group is bonded to three other carbons (two methyl groups and one ethyl group), making it a tertiary alcohol. b) 3-methylbutan-2-ol is CH3-CH(CH3)-CH(OH)-CH3, where the carbon with the -OH group is bonded to two other carbons, making it a secondary alcohol. c) pentan-3-ol is CH3-CH2-CH(OH)-CH2-CH3, which is a secondary alcohol. d) 2,2-dimethylpropan-1-ol is (CH3)3C-CH2-OH, where the carbon with the -OH group is bonded to only one other carbon, making it a primary alcohol.

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PastPaper.question 10 · Multiple Choice
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Which of the following species has a trigonal pyramidal molecular geometry?
  1. A.\(\text{BF}_3\)
  2. B.\(\text{PCl}_3\)
  3. C.\(\text{SO}_3\)
  4. D.\(\text{CO}_3^{2-}\)
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PastPaper.workedSolution

To find the molecular geometry, we determine the number of bonding and lone pairs on the central atom: a) In BF3, boron has 3 valence electrons and forms 3 single bonds with no lone pairs, resulting in a trigonal planar geometry. b) In PCl3, phosphorus has 5 valence electrons, forms 3 single bonds, and has 1 lone pair on the central atom. This results in a trigonal pyramidal molecular geometry. c) In SO3, sulfur has 6 valence electrons and forms bonds with 3 oxygen atoms (with no lone pairs on the sulfur), leading to a trigonal planar geometry. d) In CO3^{2-}, the carbonate ion has a trigonal planar geometry due to its 3 electron domains and no lone pairs on the central carbon atom.

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PastPaper.question 11 · Multiple Choice
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In which of the following species does sulfur have the highest oxidation state?
  1. A.\(\text{H}_2\text{SO}_3\)
  2. B.\(\text{S}_2\text{O}_3^{2-}\)
  3. C.\(\text{SF}_6\)
  4. D.\(\text{S}_8\)
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PastPaper.workedSolution

Let us calculate the oxidation state of sulfur in each species: a) In H2SO3: 2(+1) + S + 3(-2) = 0, which gives S = +4. b) In S2O3^{2-}: 2(S) + 3(-2) = -2, which gives 2S = +4, so S = +2. c) In SF6: S + 6(-1) = 0, which gives S = +6. d) In S8: elemental sulfur has an oxidation state of 0. Therefore, sulfur has the highest oxidation state of +6 in SF6.

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PastPaper.question 12 · Multiple Choice
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Which of the following mixtures is classified as homogeneous?
  1. A.Brass
  2. B.A suspension of chalk in water
  3. C.A mixture of sand and salt
  4. D.A mixture of sulfur and iron filings
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PastPaper.workedSolution

A homogeneous mixture has a uniform composition throughout its mass. Brass is an alloy, which is a solid solution of copper and zinc, and is uniform throughout, making it a homogeneous mixture. Suspensions of chalk in water, mixtures of sand and salt, and mixtures of sulfur and iron filings are non-uniform and are classified as heterogeneous mixtures.

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PastPaper.question 13 · Multiple Choice
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What is the total number of ions present in \(0.20\text{ mol}\) of solid aluminum sulfate, \(\text{Al}_2(\text{SO}_4)_3\)? (Let \(L\) represent the Avogadro constant.)
  1. A.\(0.20 L\)
  2. B.\(0.60 L\)
  3. C.\(1.0 L\)
  4. D.\(5.0 L\)
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PastPaper.workedSolution

One formula unit of aluminum sulfate, \(\text{Al}_2(\text{SO}_4)_3\), dissociates into 5 ions in total: 2 \(\text{Al}^{3+}\) ions and 3 \(\text{SO}_4^{2-}\) ions. Therefore, the total amount of ions in \(0.20\text{ mol}\) of \(\text{Al}_2(\text{SO}_4)_3\) is \(0.20\text{ mol} \times 5 = 1.0\text{ mol}\). The total number of ions is \(1.0 \times L = L\).

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PastPaper.question 14 · Multiple Choice
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What volume of oxygen gas, \(\text{O}_2\text{ (g)}\), in \(\text{dm}^3\) measured at STP, is required for the complete combustion of \(4.0\text{ g}\) of methane, \(\text{CH}_4\text{ (g)}\)? (Assume the molar volume of an ideal gas at STP is \(22.7\text{ dm}^3\text{ mol}^{-1}\) and \(M_r(\text{CH}_4) = 16.0\text{ g mol}^{-1}\).)
  1. A.5.68
  2. B.11.4
  3. C.22.7
  4. D.45.4
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PastPaper.workedSolution

First, write the balanced chemical equation for the complete combustion of methane: \(\text{CH}_4\text{ (g)} + 2\text{O}_2\text{ (g)} \rightarrow \text{CO}_2\text{ (g)} + 2\text{H}_2\text{O}\text{ (l)}\). Next, calculate the moles of methane: \(n(\text{CH}_4) = \frac{4.0\text{ g}}{16.0\text{ g mol}^{-1}} = 0.25\text{ mol}\). From the stoichiometry of the equation, 1 mole of \(\text{CH}_4\) requires 2 moles of \(\text{O}_2\), so: \(n(\text{O}_2) = 2 \times 0.25\text{ mol} = 0.50\text{ mol}\). Finally, calculate the volume of oxygen at STP: \(V = 0.50\text{ mol} \times 22.7\text{ dm}^3\text{ mol}^{-1} = 11.35\text{ dm}^3\), which rounds to \(11.4\text{ dm}^3\).

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PastPaper.question 15 · Multiple Choice
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An ion of element X is represented as \(^{79}_{34}\text{X}^{2-}\). Which of the following combinations correctly identifies the number of protons, neutrons, and electrons in this ion?
  1. A.Protons: 34, Neutrons: 45, Electrons: 32
  2. B.Protons: 34, Neutrons: 45, Electrons: 36
  3. C.Protons: 35, Neutrons: 44, Electrons: 36
  4. D.Protons: 36, Neutrons: 45, Electrons: 34
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PastPaper.workedSolution

For the ion \(^{79}_{34}\text{X}^{2-}\): The atomic number (subscript 34) represents the number of protons, so Protons = 34. The mass number (superscript 79) is the sum of protons and neutrons, so Neutrons = 79 - 34 = 45. The negative charge of 2- indicates that the ion has two more electrons than protons, so Electrons = 34 + 2 = 36.

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PastPaper.question 16 · Multiple Choice
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Which of the following represents the ground-state electron configuration of the transition metal ion \(\text{Fe}^{2+}\)?
  1. A.\([\text{Ar}] 3\text{d}^4 4\text{s}^2\)
  2. B.\([\text{Ar}] 3\text{d}^5 4\text{s}^1\)
  3. C.\([\text{Ar}] 3\text{d}^6\)
  4. D.\([\text{Ar}] 3\text{d}^6 4\text{s}^2\)
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PastPaper.workedSolution

The atomic number of iron (Fe) is 26, so a neutral iron atom has the ground-state electron configuration \([\text{Ar}] 3\text{d}^6 4\text{s}^2\). When transition metals form positive ions, they lose electrons from the outer valence shell (4s subshell) first before losing electrons from the 3d subshell. Therefore, to form \(\text{Fe}^{2+}\), the two electrons in the 4s subshell are removed, leaving the configuration as \([\text{Ar}] 3\text{d}^6\).

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PastPaper.question 17 · Multiple Choice
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What is the total number of atoms in \( 0.50 \text{ mol} \) of \( \text{H}_2\text{SO}_4 \)? (where \( L \) represents the Avogadro constant)
  1. A.\( 0.50 L \)
  2. B.\( 3.0 L \)
  3. C.\( 3.5 L \)
  4. D.\( 7.0 L \)
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PastPaper.workedSolution

One mole of sulfuric acid, \( \text{H}_2\text{SO}_4 \), contains 7 moles of atoms (2 moles of hydrogen, 1 mole of sulfur, and 4 moles of oxygen). Therefore, 0.50 mol of \( \text{H}_2\text{SO}_4 \) contains \( 0.50 \times 7 = 3.5 \text{ mol} \) of atoms. The number of atoms is equal to the amount in moles multiplied by Avogadro's constant, which is \( 3.5 L \).

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PastPaper.question 18 · Multiple Choice
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Which species has a bond angle of approximately \( 120^\circ \)?
  1. A.\( \text{CO}_3^{2-} \)
  2. B.\( \text{NH}_4^+ \)
  3. C.\( \text{H}_3\text{O}^+ \)
  4. D.\( \text{PCl}_3 \)
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PastPaper.workedSolution

The carbonate ion, \( \text{CO}_3^{2-} \), has a central carbon atom with three bonding electron domains and no lone pairs, resulting in a trigonal planar geometry. This gives a bond angle of \( 120^\circ \). Ammonia, \( \text{NH}_3 \), and hydronium, \( \text{H}_3\text{O}^+ \), are both trigonal pyramidal with bond angles of around \( 107^\circ \). Ammonium, \( \text{NH}_4^+ \), is tetrahedral with a bond angle of \( 109.5^\circ \).

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PastPaper.question 19 · Multiple Choice
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In which species does sulfur have the highest oxidation state?
  1. A.\( \text{S}_2\text{O}_3^{2-} \)
  2. B.\( \text{SO}_3^{2-} \)
  3. C.\( \text{SO}_4^{2-} \)
  4. D.\( \text{S}_8 \)
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PastPaper.workedSolution

Let's calculate the oxidation states of sulfur: In \( \text{S}_2\text{O}_3^{2-} \), \( 2x + 3(-2) = -2 \Rightarrow x = +2 \). In \( \text{SO}_3^{2-} \), \( x + 3(-2) = -2 \Rightarrow x = +4 \). In \( \text{SO}_4^{2-} \), \( x + 4(-2) = -2 \Rightarrow x = +6 \). In \( \text{S}_8 \), sulfur is in its elemental form, so its oxidation state is 0. Therefore, sulfur has the highest oxidation state in \( \text{SO}_4^{2-} \).

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PastPaper.question 20 · Multiple Choice
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A student heats \( 50.0 \text{ g} \) of water from \( 20.0\text{ }^\circ\text{C} \) to \( 40.0\text{ }^\circ\text{C} \) using a spirit burner. The specific heat capacity of water is \( 4.18 \text{ J g}^{-1} \text{ K}^{-1} \). What is the heat energy, in \( \text{kJ} \), absorbed by the water?
  1. A.\( 4.18 \text{ kJ} \)
  2. B.\( 41.8 \text{ kJ} \)
  3. C.\( 8.36 \text{ kJ} \)
  4. D.\( 0.418 \text{ kJ} \)
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PastPaper.workedSolution

Using the equation \( q = mc\Delta T \), where \( m = 50.0 \text{ g} \), \( c = 4.18 \text{ J g}^{-1} \text{ K}^{-1} \), and \( \Delta T = 40.0 - 20.0 = 20.0 \text{ K} \): \( q = 50.0 \times 4.18 \times 20.0 = 1000 \times 4.18 = 4180 \text{ J} = 4.18 \text{ kJ} \).

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PastPaper.question 21 · Multiple Choice
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Which statement is correct regarding the effect of adding a catalyst to a chemical reaction?
  1. A.It increases the average kinetic energy of the reactant particles.
  2. B.It increases the enthalpy change, \( \Delta H \), of the reaction.
  3. C.It provides an alternative reaction pathway with a lower activation energy.
  4. D.It decreases the frequency of collisions between reactant particles.
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PastPaper.workedSolution

A catalyst increases the rate of reaction by providing an alternative reaction pathway that has a lower activation energy. This allows more reactant particles to have kinetic energy greater than or equal to the activation energy. It does not alter the average kinetic energy of the particles (which depends on temperature) or the enthalpy change of the reaction.

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PastPaper.question 22 · Multiple Choice
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Which functional group class does the compound \( \text{CH}_3\text{CH}_2\text{COCH}_3 \) belong to?
  1. A.Ester
  2. B.Ketone
  3. C.Aldehyde
  4. D.Ether
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PastPaper.workedSolution

The molecular formula shows a carbonyl group (\( \text{C=O} \)) bonded to two carbon chains, which defines the ketone functional group class (specifically, this compound is butanone).

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PastPaper.question 23 · Multiple Choice
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Which of the following is a homogeneous mixture?
  1. A.Sand and water
  2. B.Aqueous sodium chloride
  3. C.Sulfur powder and iron filings
  4. D.Solid sodium chloride
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PastPaper.workedSolution

A homogeneous mixture has a uniform composition throughout. Aqueous sodium chloride (salt water) is a solution and is uniform throughout, making it homogeneous. Sand and water, and sulfur powder and iron filings are heterogeneous mixtures. Solid sodium chloride is a pure compound, not a mixture.

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PastPaper.question 24 · Multiple Choice
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Which of the following represents a conjugate acid-base pair in the reaction: \( \text{HPO}_4^{2-}(aq) + \text{H}_2\text{O}(l) \rightleftharpoons \text{PO}_4^{3-}(aq) + \text{H}_3\text{O}^+(aq) \)?
  1. A.\( \text{HPO}_4^{2-} \) and \( \text{PO}_4^{3-} \)
  2. B.\( \text{HPO}_4^{2-} \) and \( \text{H}_3\text{O}^+ \)
  3. C.\( \text{H}_2\text{O} \) and \( \text{PO}_4^{3-} \)
  4. D.\( \text{HPO}_4^{2-} \) and \( \text{H}_2\text{O} \)
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PastPaper.workedSolution

A conjugate acid-base pair consists of two species that differ by only a single proton (\( \text{H}^+ \)). Here, \( \text{HPO}_4^{2-} \) is a Brønsted-Lowry acid that donates a proton to form its conjugate base, \( \text{PO}_4^{3-} \).

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PastPaper.question 25 · Multiple Choice
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A pure substance is heated at a constant rate from a solid to a gas. The heating curve shows two plateaus at temperatures \(T_1\) and \(T_2\) (where \(T_2 > T_1\)). Which statement is correct?
  1. A.The average kinetic energy of the particles increases during the plateau at \(T_1\).
  2. B.The potential energy of the particles increases during the plateau at \(T_2\).
  3. C.At temperatures between \(T_1\) and \(T_2\), the substance exists in both solid and liquid states.
  4. D.At \(T_2\), chemical bonds within the molecules are broken.
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PastPaper.workedSolution

During a phase change (represented by the plateaus on a heating curve), the temperature of the substance remains constant. Since temperature is a measure of the average kinetic energy of the particles, the average kinetic energy does not change during a plateau. Instead, the heat energy absorbed is used to overcome intermolecular forces, which increases the potential energy of the particles. Therefore, at the plateau at \(T_2\) (which represents boiling), the potential energy of the particles increases. Between \(T_1\) (melting point) and \(T_2\) (boiling point), the substance is entirely in the liquid phase. Phase changes of molecular substances are physical changes and do not involve breaking intramolecular covalent bonds.

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Award [1] for the correct answer (B). Reject other options: A is incorrect because temperature (and thus kinetic energy) is constant during plateaus. C is incorrect because between the two plateaus the substance is a liquid only. D is incorrect because boiling is a physical change, not a chemical change breaking intramolecular bonds.
PastPaper.question 26 · Multiple Choice
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Which classes of organic compounds does the molecule \(\text{CH}_2=\text{CHCH}_2\text{COOCH}_3\) belong to?
  1. A.Alkene and ester
  2. B.Alkene and ether
  3. C.Alkyne and ketone
  4. D.Alkyne and ester
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PastPaper.workedSolution

The given molecule is \(\text{CH}_2=\text{CHCH}_2\text{COOCH}_3\). It contains: 1. A carbon-carbon double bond (\(\text{C}=\text{C}\)), which belongs to the alkene homologous series. 2. An ester functional group (\(\text{—COO—}\)), which belongs to the ester class of compounds. Therefore, the molecule belongs to the alkene and ester classes.

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PastPaper.question 27 · Multiple Choice
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Which of the following species has a bond angle of \(120^\circ\)?
  1. A.\(\text{CO}_3^{2-}\)
  2. B.\(\text{PCl}_3\)
  3. C.\(\text{NH}_4^+\)
  4. D.\(\text{H}_2\text{O}\)
PastPaper.showAnswers

PastPaper.workedSolution

Let's analyze the electron domain geometry and molecular geometry of each species: - \(\text{CO}_3^{2-}\) has 3 electron domains around the central carbon atom (no lone pairs). Its geometry is trigonal planar, which has bond angles of exactly \(120^\circ\) due to resonance. - \(\text{PCl}_3\) has 4 electron domains (3 bonding, 1 lone pair) around the central phosphorus atom. Its molecular geometry is trigonal pyramidal, with bond angles of approximately \(107^\circ\). - \(\text{NH}_4^+\) has 4 bonding electron domains (no lone pairs) around nitrogen. Its geometry is tetrahedral, with bond angles of \(109.5^\circ\). - \(\text{H}_2\text{O}\) has 4 electron domains (2 bonding, 2 lone pairs) around oxygen. Its molecular geometry is bent, with a bond angle of \(104.5^\circ\).

PastPaper.markingScheme

Award [1] for the correct choice (A). Reject other choices as their bond angles are significantly different from \(120^\circ\) (\(107^\circ\), \(109.5^\circ\), and \(104.5^\circ\) respectively).
PastPaper.question 28 · Multiple Choice
1 PastPaper.marks
What are the oxidation states of chromium in \(\text{K}_2\text{Cr}_2\text{O}_7\) and sulfur in \(\text{Na}_2\text{S}_2\text{O}_3\)?
  1. A.\(\text{Cr} = +6\); \(\text{S} = +2\)
  2. B.\(\text{Cr} = +3\); \(\text{S} = +2\)
  3. C.\(\text{Cr} = +6\); \(\text{S} = +4\)
  4. D.\(\text{Cr} = +3\); \(\text{S} = +4\)
PastPaper.showAnswers

PastPaper.workedSolution

1. For \(\text{K}_2\text{Cr}_2\text{O}_7\): The sum of oxidation states is zero. Potassium (\(\text{K}\)) has an oxidation state of \(+1\) and oxygen (\(\text{O}\)) has \(-2\). Let \(x\) be the oxidation state of chromium: \(2(+1) + 2(x) + 7(-2) = 0 \implies 2 + 2x - 14 = 0 \implies 2x = 12 \implies x = +6\). 2. For \(\text{Na}_2\text{S}_2\text{O}_3\): Sodium (\(\text{Na}\)) has an oxidation state of \(+1\) and oxygen (\(\text{O}\)) has \(-2\). Let \(y\) be the oxidation state of sulfur: \(2(+1) + 2(y) + 3(-2) = 0 \implies 2 + 2y - 6 = 0 \implies 2y = 4 \implies y = +2\). Thus, \(\text{Cr} = +6\) and \(\text{S} = +2\).

PastPaper.markingScheme

Award [1] for A. Reject other combinations of oxidation states.
PastPaper.question 29 · Multiple Choice
1 PastPaper.marks
How many chloride ions, \(\text{Cl}^-\), are present in \(0.10\text{ mol}\) of \(\text{MgCl}_2\)? (Avogadro's constant, \(L = 6.0 \times 10^{23}\text{ mol}^{-1}\))
  1. A.\(6.0 \times 10^{22}\)
  2. B.\(1.2 \times 10^{23}\)
  3. C.\(1.8 \times 10^{23}\)
  4. D.\(2.4 \times 10^{23}\)
PastPaper.showAnswers

PastPaper.workedSolution

Each formula unit of magnesium chloride, \(\text{MgCl}_2\), dissociates into one magnesium ion (\(\text{Mg}^{2+}\)) and two chloride ions (\(\text{Cl}^-\)). Therefore, the number of moles of \(\text{Cl}^-\) ions in \(0.10\text{ mol}\) of \(\text{MgCl}_2\) is: \(n(\text{Cl}^-) = 2 \times 0.10\text{ mol} = 0.20\text{ mol}\). The number of chloride ions is: \(N = n \times L = 0.20\text{ mol} \times 6.0 \times 10^{23}\text{ mol}^{-1} = 1.2 \times 10^{23}\).

PastPaper.markingScheme

Award [1] for correct answer (B). Award [0] for A (which represents moles of \(\text{MgCl}_2\) or \(\text{Mg}^{2+}\) ions converted to particles: \(0.10 \times 6.0 \times 10^{23}\)), or other incorrect calculations.
PastPaper.question 30 · Multiple Choice
1 PastPaper.marks
Consider the reaction: \(2\text{Al}(s) + 3\text{Cl}_2(g) \rightarrow 2\text{AlCl}_3(s)\). If \(0.40\text{ mol}\) of \(\text{Al}\) is reacted with \(0.45\text{ mol}\) of \(\text{Cl}_2\), what is the maximum amount (in mol) of \(\text{AlCl}_3\) that can be formed?
  1. A.\(0.20\text{ mol}\)
  2. B.\(0.30\text{ mol}\)
  3. C.\(0.40\text{ mol}\)
  4. D.\(0.45\text{ mol}\)
PastPaper.showAnswers

PastPaper.workedSolution

To determine the limiting reactant, compare the ratio of available moles to the stoichiometric coefficients: For \(\text{Al}\): \(0.40 / 2 = 0.20\). For \(\text{Cl}_2\): \(0.45 / 3 = 0.15\). Since \(0.15 < 0.20\), \(\text{Cl}_2\) is the limiting reactant. Use the limiting reactant to calculate the moles of \(\text{AlCl}_3\) produced: \(n(\text{AlCl}_3) = n(\text{Cl}_2) \times (2 / 3) = 0.45\text{ mol} \times (2 / 3) = 0.30\text{ mol}\).

PastPaper.markingScheme

Award [1] for B. Award [0] for C (which assumes Al is the limiting reactant).

Paper 2 (Structured Questions)

Answer all structured questions in the spaces provided. Calculator and Data Booklet permitted.
5 PastPaper.question · 50 PastPaper.marks
PastPaper.question 1 · Structured
10 PastPaper.marks
An electrochemical cell is constructed using a chromium electrode in a \(1.0\text{ mol dm}^{-3}\) solution of \(\text{Cr}^{3+}(\text{aq})\) and a copper electrode in a \(1.0\text{ mol dm}^{-3}\) solution of \(\text{Cu}^{2+}(\text{aq})\).

(a) Deduce the oxidation states of chromium in \(\text{Cr}_2\text{O}_7^{2-}\) and \(\text{Cr}^{3+}\). [2]

(b) State the half-equations for the reactions occurring at each electrode under standard conditions, given:
\(\text{Cr}^{3+}(\text{aq}) + 3\text{e}^- \rightleftharpoons \text{Cr}(\text{s}) \quad E^\theta = -0.74\text{ V}\)
\(\text{Cu}^{2+}(\text{aq}) + 2\text{e}^- \rightleftharpoons \text{Cu}(\text{s}) \quad E^\theta = +0.34\text{ V}\) [2]

(c) Write the overall cell reaction and calculate the standard cell potential (\(E^\theta_{\text{cell}}\)). [2]

(d) Describe the direction of electron flow in the external circuit and explain the purpose of the salt bridge. [2]

(e) Explain how the cell potential would change if the concentration of \(\text{Cu}^{2+}(\text{aq})\) was decreased to \(0.01\text{ mol dm}^{-3}\). [2]
PastPaper.showAnswers

PastPaper.workedSolution

(a)
- In \(\text{Cr}_2\text{O}_7^{2-}\), each oxygen is \(-2\). Let \(x\) be the oxidation state of Cr:
\(2x + 7(-2) = -2 \implies 2x - 14 = -2 \implies 2x = +12 \implies x = +6\).
- In \(\text{Cr}^{3+}\), the oxidation state is +3.

(b)
- At the anode (oxidation): \(\text{Cr}(\text{s}) \rightarrow \text{Cr}^{3+}(\text{aq}) + 3\text{e}^-\)
- At the cathode (reduction): \(\text{Cu}^{2+}(\text{aq}) + 2\text{e}^- \rightarrow \text{Cu}(\text{s})\)

(c)
- Overall reaction: To balance electrons, multiply oxidation by 2 and reduction by 3:
\(2\text{Cr}(\text{s}) + 3\text{Cu}^{2+}(\text{aq}) \rightarrow 2\text{Cr}^{3+}(\text{aq}) + 3\text{Cu}(\text{s})\)
- Standard cell potential:
\(E^\theta_{\text{cell}} = E^\theta_{\text{cathode}} - E^\theta_{\text{anode}} = +0.34\text{ V} - (-0.74\text{ V}) = +1.08\text{ V}\)

(d)
- Electrons flow from the chromium electrode (anode / more negative potential) to the copper electrode (cathode / more positive potential) through the external wire.
- The salt bridge completes the electrical circuit and maintains electrical neutrality by allowing the migration of anions to the anode half-cell and cations to the cathode half-cell.

(e)
- Decreasing the concentration of \(\text{Cu}^{2+}(\text{aq})\) decreases the concentration of a reactant.
- According to Le Chatelier's principle, this shifts the equilibrium position to the left (towards the reactants), reducing the driving force for the forward reaction and lowering the cell potential.

PastPaper.markingScheme

(a)
- +6 (or VI) [1 mark]
- +3 (or III) [1 mark]

(b)
- \(\text{Cr}(\text{s}) \rightarrow \text{Cr}^{3+}(\text{aq}) + 3\text{e}^-\) [1 mark]
- \(\text{Cu}^{2+}(\text{aq}) + 2\text{e}^- \rightarrow \text{Cu}(\text{s})\) [1 mark]
*Note: Accept reversible arrows but penalize missing state symbols or incorrect electron balance.*

(c)
- \(2\text{Cr}(\text{s}) + 3\text{Cu}^{2+}(\text{aq}) \rightarrow 2\text{Cr}^{3+}(\text{aq}) + 3\text{Cu}(\text{s})\) [1 mark] (must be balanced)
- \(E^\theta_{\text{cell}} = +1.08\text{ V}\) [1 mark]

(d)
- Electron flow: Chromium (anode) to copper (cathode) [1 mark]
- Salt bridge: Completes the circuit / maintains electrical neutrality by ion migration [1 mark]

(e)
- Equilibrium shifts to the left / reactants side [1 mark]
- Cell potential decreases [1 mark]
PastPaper.question 2 · Structured
10 PastPaper.marks
An organic compound X has the molecular formula \(\text{C}_4\text{H}_8\text{O}_2\).

(a) Draw the structural formulas and state the IUPAC names of two structural isomers of X that belong to different homologous series: one containing a carboxylic acid functional group and one containing an ester functional group. [4]

(b) Identify the types of intermolecular forces present in both isomers. [2]

(c) Predict, with a reason, which of the two isomers has a higher boiling point. [2]

(d) Compound X can also exist as a structural isomer containing both a ketone and a hydroxyl functional group. Draw the structural formula of this isomer, and circle the chiral carbon atom. [2]
PastPaper.showAnswers

PastPaper.workedSolution

(a)
- Carboxylic acid isomer: Butanoic acid. Structure: \(\text{CH}_3\text{CH}_2\text{CH}_2\text{COOH}\) (or \(\text{(CH}_3)_2\text{CHCOOH}\), methylpropanoic acid).
- Ester isomer: Ethyl ethanoate. Structure: \(\text{CH}_3\text{COOCH}_2\text{CH}_3\) (or methyl propanoate, \(\text{CH}_3\text{CH}_2\text{COOCH}_3\); or propyl methanoate, \(\text{HCOOCH}_2\text{CH}_2\text{CH}_3\)).

(b)
- Carboxylic acid (butanoic acid): London dispersion forces, dipole-dipole forces, and hydrogen bonding.
- Ester (ethyl ethanoate): London dispersion forces and dipole-dipole forces only (no hydrogen bonding between ester molecules).

(c)
- Butanoic acid has a higher boiling point.
- It contains a polar \(\text{-O-H}\) bond which allows molecules to form strong intermolecular hydrogen bonds (often forming stable dimers). These require more thermal energy to overcome than the weaker dipole-dipole interactions between ester molecules.

(d)
- A structural isomer containing a ketone and a hydroxyl group is 3-hydroxybutan-2-one: \(\text{CH}_3\text{-C(=O)-CH(OH)-CH}_3\).
- The chiral carbon is carbon-3: \(\text{CH}_3\text{-C(=O)-C*H(OH)-CH}_3\) because it is bonded to four different groups: \(\text{-H}\), \(\text{-OH}\), \(\text{-CH}_3\), and \(\text{-COCH}_3\).

PastPaper.markingScheme

(a)
- Correct structure of butanoic acid (or methylpropanoic acid) [1 mark]
- Correct corresponding name: butanoic acid (or methylpropanoic acid) [1 mark]
- Correct structure of ethyl ethanoate (or other valid ester) [1 mark]
- Correct corresponding name: ethyl ethanoate (or other ester name) [1 mark]

(b)
- Carboxylic acid has hydrogen bonding (and London/dipole-dipole forces) [1 mark]
- Ester has dipole-dipole forces and London forces (no hydrogen bonding) [1 mark]

(c)
- Correct prediction: Butanoic acid (carboxylic acid) has the higher boiling point [1 mark]
- Explanation: Carboxylic acid molecules can form strong intermolecular hydrogen bonds (dimers) which require more energy to break than the dipole-dipole attractions in the ester [1 mark]

(d)
- Correct structural formula of 3-hydroxybutan-2-one (or other valid ketone-alcohol) [1 mark]
- Chiral carbon clearly circled/identified on carbon-3 [1 mark]
PastPaper.question 3 · Structured
10 PastPaper.marks
A student used a simple calorimeter to determine the enthalpy of combustion of methanol, \(\text{CH}_3\text{OH}(\text{l})\).
The student burned \(0.800\text{ g}\) of methanol, which raised the temperature of \(150.0\text{ g}\) of water in a copper beaker from \(19.5\text{ }^\circ\text{C}\) to \(41.1\text{ }^\circ\text{C}\).

(a) Write a balanced chemical equation for the complete combustion of methanol, including state symbols. [2]

(b) Calculate the heat energy, \(q\), absorbed by the water in kJ, using \(c = 4.18\text{ J g}^{-1}\text{ K}^{-1}\). [2]

(c) Determine the experimental enthalpy of combustion of methanol, \(\Delta H_{\text{c}}\), in \(\text{kJ mol}^{-1}\). [3]

(d) The literature value for the standard enthalpy of combustion of methanol is \(-726\text{ kJ mol}^{-1}\). State two reasons why the experimental value obtained is likely to be less exothermic than the literature value, and suggest how one of these errors can be minimized. [3]
PastPaper.showAnswers

PastPaper.workedSolution

(a)
- Balanced equation with state symbols:
\(\text{CH}_3\text{OH}(\text{l}) + 1.5\text{O}_2(\text{g}) \rightarrow \text{CO}_2(\text{g}) + 2\text{H}_2\text{O}(\text{l})\)
or:
\(2\text{CH}_3\text{OH}(\text{l}) + 3\text{O}_2(\text{g}) \rightarrow 2\text{CO}_2(\text{g}) + 4\text{H}_2\text{O}(\text{l})\)

(b)
- Temperature change: \(\Delta T = 41.1 - 19.5 = 21.6\text{ K}\) (or \(^\circ\text{C}\))
- \(q = m c \Delta T = 150.0\text{ g} \times 4.18\text{ J g}^{-1}\text{ K}^{-1} \times 21.6\text{ K}\)
- \(q = 13543.2\text{ J} = 13.5\text{ kJ}\) (to 3 significant figures)

(c)
- Moles of methanol: \(M(\text{CH}_3\text{OH}) = 12.01 + 4(1.01) + 16.00 = 32.05\text{ g mol}^{-1}\)
- \(n = \frac{0.800\text{ g}}{32.05\text{ g mol}^{-1}} = 0.02496\text{ mol}\)
- \(\Delta H_{\text{c}} = -\frac{q}{n} = -\frac{13.5432\text{ kJ}}{0.02496\text{ mol}} = -543\text{ kJ mol}^{-1}\) (or \(-542\text{ kJ mol}^{-1}\) depending on rounding)

(d)
- Reasons for error (any two):
1. Heat loss to the surroundings / calorimeter beaker.
2. Incomplete combustion of methanol (producing CO/C instead of \(\text{CO}_2\)).
3. Evaporation of methanol from the wick before/after burning.
4. Specific heat capacity of the copper calorimeter was ignored.
- Minimizing errors:
- Heat loss can be minimized by insulating the beaker or using a draft shield / bomb calorimeter.

PastPaper.markingScheme

(a)
- Correct species and balancing [1 mark]
- Correct state symbols (l, g, g, l) [1 mark]

(b)
- Correct calculation of \(\Delta T = 21.6\text{ K}\) [1 mark]
- \(q = 13.5\text{ kJ}\) (accept \(13.54\text{ kJ}\)) [1 mark]

(c)
- Moles of methanol = \(0.0250\text{ mol}\) [1 mark]
- Division of heat by moles [1 mark]
- \(\Delta H_{\text{c}} = -543\text{ kJ mol}^{-1}\) (must have negative sign; accept range \(-542\) to \(-543\)) [1 mark]

(d)
- Two reasons for discrepancy (e.g. heat loss, incomplete combustion) [2 marks]
- Suggestion to minimize one error (e.g. use draft shield, insulate beaker, use bomb calorimeter) [1 mark]
PastPaper.question 4 · Structured
10 PastPaper.marks
Consider the species \(\text{SF}_4\) and \(\text{XeF}_4\).

(a) Draw the Lewis (electron dot) structures for both \(\text{SF}_4\) and \(\text{XeF}_4\). Show all valence electrons. [4]

(b) Predict the molecular geometry (shape) and estimate the bond angles for each species. [4]

(c) Explain why \(\text{SF}_4\) is a polar molecule whereas \(\text{XeF}_4\) is non-polar, despite both having polar covalent bonds. [2]
PastPaper.showAnswers

PastPaper.workedSolution

(a)
- For \(\text{SF}_4\): The central sulfur atom has 6 valence electrons, and each fluorine has 7. Total valence electrons = 34. The Lewis structure shows sulfur forming 4 single bonds with the 4 F atoms, with 1 lone pair on the sulfur atom. Each F atom has 3 lone pairs (8 electrons in total around each F, 10 around S).
- For \(\text{XeF}_4\): The central xenon atom has 8 valence electrons, and each fluorine has 7. Total valence electrons = 36. The Lewis structure shows xenon forming 4 single bonds with the 4 F atoms, with 2 lone pairs on the xenon atom. Each F atom has 3 lone pairs (8 electrons around each F, 12 around Xe).

(b)
- \(\text{SF}_4\):
- Shape: Seesaw (or sawhorse)
- Bond angles: less than \(90^\circ\) and less than \(120^\circ\) (specifically axial-axial is \(<180^\circ\) or \(\approx 173^\circ\), and equatorial-equatorial is \(<120^\circ\) or \(\approx 102^\circ\))
- \(\text{XeF}_4\):
- Shape: Square planar
- Bond angles: \(90^\circ\) (and \(180^\circ\))

(c)
- In \(\text{XeF}_4\), the square planar geometry is highly symmetrical. The four polar Xe-F bond dipoles point in opposite directions and cancel each other out, and the two lone pairs lie directly opposite each other, meaning there is no net dipole moment.
- In \(\text{SF}_4\), the seesaw geometry is unsymmetrical. The dipoles of the polar S-F bonds do not cancel out, resulting in a net molecular dipole moment.

PastPaper.markingScheme

(a)
- Correct Lewis structure for \(\text{SF}_4\) (4 single bonds, 1 lone pair on S, 3 lone pairs on each F) [2 marks]
- Correct Lewis structure for \(\text{XeF}_4\) (4 single bonds, 2 lone pairs on Xe, 3 lone pairs on each F) [2 marks]
*Deduct 1 mark overall if fluorine lone pairs are completely omitted.*

(b)
- \(\text{SF}_4\) shape: Seesaw [1 mark]
- \(\text{SF}_4\) angles: \(<90^\circ\) and \(<120^\circ\) (accept values around \(102^\circ\) and \(173^\circ\)) [1 mark]
- \(\text{XeF}_4\) shape: Square planar [1 mark]
- \(\text{XeF}_4\) angles: \(90^\circ\) (or \(180^\circ\)) [1 mark]

(c)
- \(\text{XeF}_4\) is symmetrical and individual bond dipoles cancel out [1 mark]
- \(\text{SF}_4\) is unsymmetrical (due to the single lone pair) so dipoles do not cancel out [1 mark]
PastPaper.question 5 · Structured
10 PastPaper.marks
The reaction between peroxodisulfate ions, \(\text{S}_2\text{O}_8^{2-}(\text{aq})\), and iodide ions, \(\text{I}^-(\text{aq})\), is represented by the equation:
\(\text{S}_2\text{O}_8^{2-}(\text{aq}) + 2\text{I}^-(\text{aq}) \rightarrow 2\text{SO}_4^{2-}(\text{aq}) + \text{I}_2(\text{aq})\)

The following initial rates data were obtained at a constant temperature:

- **Experiment 1**: \([\text{S}_2\text{O}_8^{2-}] = 0.010\text{ mol dm}^{-3}\), \([\text{I}^-] = 0.010\text{ mol dm}^{-3}\), \(\text{Initial rate} = 1.5 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\)
- **Experiment 2**: \([\text{S}_2\text{O}_8^{2-}] = 0.020\text{ mol dm}^{-3}\), \([\text{I}^-] = 0.010\text{ mol dm}^{-3}\), \(\text{Initial rate} = 3.0 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\)
- **Experiment 3**: \([\text{S}_2\text{O}_8^{2-}] = 0.010\text{ mol dm}^{-3}\), \([\text{I}^-] = 0.020\text{ mol dm}^{-3}\), \(\text{Initial rate} = 3.0 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\)

(a) Determine the order of reaction with respect to \(\text{S}_2\text{O}_8^{2-}\) and \(\text{I}^-\), justifying your answers. [3]

(b) Write the rate expression for the reaction. [1]

(c) Calculate the rate constant, \(k\), including its units, using the data from Experiment 1. [2]

(d) Draw a sketch of the Maxwell-Boltzmann energy distribution curve for a gas-phase reaction at two different temperatures, \(T_1\) and \(T_2\) (where \(T_2 > T_1\)). Label the activation energy, \(E_{\text{a}}\), and explain how a temperature increase affects the rate of reaction. [4]
PastPaper.showAnswers

PastPaper.workedSolution

(a)
- **With respect to \(\text{S}_2\text{O}_8^{2-}\)**: Comparing Experiments 1 and 2, \([\text{I}^-]\) is constant, and \([\text{S}_2\text{O}_8^{2-}]\) is doubled (from \(0.010\) to \(0.020\text{ mol dm}^{-3}\)). The rate also doubles (from \(1.5 \times 10^{-5}\) to \(3.0 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\)). Therefore, the reaction is **first order** with respect to \(\text{S}_2\text{O}_8^{2-}\).
- **With respect to \(\text{I}^-\)**: Comparing Experiments 1 and 3, \([\text{S}_2\text{O}_8^{2-}]\) is constant, and \([\text{I}^-]\) is doubled (from \(0.010\) to \(0.020\text{ mol dm}^{-3}\)). The rate also doubles (from \(1.5 \times 10^{-5}\) to \(3.0 \times 10^{-5}\text{ mol dm}^{-3}\text{ s}^{-1}\)). Therefore, the reaction is **first order** with respect to \(\text{I}^-\).

(b)
- \(\text{Rate} = k [\text{S}_2\text{O}_8^{2-}][\text{I}^-]\)

(c)
- Using Experiment 1:
\(1.5 \times 10^{-5} = k (0.010)(0.010)\)
\(1.5 \times 10^{-5} = k (1.0 \times 10^{-4})\)
\(k = 0.15\)
- Units: \(\text{mol dm}^{-3}\text{ s}^{-1} / (\text{mol dm}^{-3})^2 = \text{dm}^3\text{ mol}^{-1}\text{ s}^{-1}\)

(d)
- **Sketch details**:
- y-axis labeled as "Number of particles" / "Fraction of particles" and x-axis labeled as "Kinetic energy".
- Both curves start at the origin and asymptotically approach the x-axis at high energy.
- The curve for \(T_2\) (higher temperature) has a lower peak which is shifted to the right compared to \(T_1\).
- Activation energy, \(E_{\text{a}}\), labeled as a vertical line on the x-axis.
- **Explanation**: At temperature \(T_2\), a greater fraction of molecules have kinetic energy equal to or greater than the activation energy (area under the curve to the right of \(E_{\text{a}}\)). This leads to a higher frequency of successful (fruitful) collisions, increasing the reaction rate.

PastPaper.markingScheme

(a)
- Order with respect to \(\text{S}_2\text{O}_8^{2-}\) is first order + justification (comparing Exp 1 & 2) [1.5 marks]
- Order with respect to \(\text{I}^-\) is first order + justification (comparing Exp 1 & 3) [1.5 marks]

(b)
- \(\text{Rate} = k [\text{S}_2\text{O}_8^{2-}][\text{I}^-]\) [1 mark]

(c)
- \(k = 0.15\) [1 mark]
- Units: \(\text{dm}^3\text{ mol}^{-1}\text{ s}^{-1}\) [1 mark]

(d)
- Correctly sketched Maxwell-Boltzmann curves at two temperatures (correct shifting) [1 mark]
- Correctly labeled axes and \(E_{\text{a}}\) [1 mark]
- More particles have \(E \geq E_{\text{a}}\) at higher temperature [1 mark]
- Higher frequency of successful collisions [1 mark]

Paper 3 Section A (Experimental)

Answer all questions in Section A based on experimental skills and techniques.
1 PastPaper.question · 15 PastPaper.marks
PastPaper.question 1 · Structured
15 PastPaper.marks
A student carried out an experiment to determine the enthalpy change of neutralization, \(\Delta H_{\text{neut}}\), for the reaction between hydrochloric acid and sodium hydroxide.

\(\text{HCl(aq)} + \text{NaOH(aq)} \rightarrow \text{NaCl(aq)} + \text{H}_2\text{O(l)}\)

The student mixed \(50.0\text{ cm}^3 \pm 0.5\text{ cm}^3\) of \(1.00\text{ mol dm}^{-3}\ \text{HCl(aq)}\) with \(50.0\text{ cm}^3 \pm 0.5\text{ cm}^3\) of \(1.00\text{ mol dm}^{-3}\ \text{NaOH(aq)}\) in a polystyrene cup. Both solutions were initially at \(21.3\ ^\circ\text{C} \pm 0.1\ ^\circ\text{C}\).

The temperature of the mixture was recorded every minute after mixing at \(t = 0\). The cooling phase data was fitted to a linear regression line:
\(T = -0.300t + 27.7\)
where \(T\) is the temperature in \(^\circ\text{C}\) and \(t\) is the time in minutes.

(a) Identify the independent and dependent variables in this experiment. [2]

(b) Explain why a simple thermometer reading of the maximum temperature reached during the reaction underestimates the true temperature change, and explain how the extrapolation method corrects for this. [3]

(c) Using the regression equation for the cooling curve, determine the extrapolated maximum temperature at the time of mixing (\(t = 0\)) and calculate the corrected temperature change, \(\Delta T\), in \(^\circ\text{C}\). [3]

(d) Calculate the heat energy, \(q\), in \(\text{J}\), released during the reaction. (Assume the total volume of the mixture is \(100.0\text{ cm}^3\), its density is \(1.00\text{ g cm}^{-3}\), and its specific heat capacity is \(4.18\text{ J g}^{-1}\ \text{K}^{-1}\)). [2]

(e) Calculate the enthalpy change of neutralization, \(\Delta H_{\text{neut}}\), in \(\text{kJ mol}^{-1}\), for this reaction. [2]

(f) Calculate the percentage uncertainty in the volume of \(\text{HCl(aq)}\) used. Identify one systematic error in this calorimeter setup and state its effect on the calculated \(\Delta H_{\text{neut}}\). [3]
PastPaper.showAnswers

PastPaper.workedSolution

**(a)**
- Independent variable: Time (\(t\)) [1]
- Dependent variable: Temperature (\(T\)) [1]

**(b)**
- Heat is lost to the surroundings and calorimeter as the reaction takes place, meaning the maximum recorded temperature is lower than the true theoretical maximum. [1]
- By plotting a temperature-time cooling curve and extrapolating back to the time of mixing (\(t=0\)), we estimate the maximum temperature that would have been reached if the reaction was instantaneous. [1]
- This corrects for the heat lost during the time taken for mixing and thermal equilibration. [1]

**(c)**
- At \(t = 0\), extrapolated temperature: \(T_{\text{extrapolated}} = -0.300(0) + 27.7 = 27.7\ ^\circ\text{C}\) [1]
- Initial temperature, \(T_{\text{initial}} = 21.3\ ^\circ\text{C}\) [1]
- Corrected temperature change: \(\Delta T = 27.7\ ^\circ\text{C} - 21.3\ ^\circ\text{C} = 6.4\ ^\circ\text{C}\) (or \(6.4\text{ K}\)) [1]

**(d)**
- Mass of solution \(m = 100.0\text{ cm}^3 \times 1.00\text{ g cm}^{-3} = 100.0\text{ g}\) [1]
- \(q = m c \Delta T = 100.0\text{ g} \times 4.18\text{ J g}^{-1}\ \text{K}^{-1} \times 6.4\text{ K} = 2675.2\text{ J}\) (accept \(2680\text{ J}\) or \(2.68 \times 10^3\text{ J}\)) [1]

**(e)**
- Number of moles of \(\text{HCl}\) reacting: \(n = 1.00\text{ mol dm}^{-3} \times 0.0500\text{ dm}^3 = 0.0500\text{ mol}\) (which reacts completely with \(0.0500\text{ mol}\) of \(\text{NaOH}\) to form \(0.0500\text{ mol}\) of water) [1]
- \(\Delta H_{\text{neut}} = -\frac{q}{1000 \times n} = -\frac{2675.2}{1000 \times 0.0500} = -53.5\text{ kJ mol}^{-1}\) (accept range between \(-53.5\) and \(-53.6\text{ kJ mol}^{-1}\) depending on rounding of \(q\). Negative sign is required for the mark) [1]

**(f)**
- Percentage uncertainty in the volume of \(\text{HCl}\): \(\frac{0.5}{50.0} \times 100\% = 1.0\%\) [1]
- Systematic error: Heat loss to surroundings / heat absorbed by the polystyrene cup itself [1]
- Effect: Calculated \(\Delta T\) and \(q\) values will be smaller than theoretical values, resulting in a less exothermic (less negative/smaller magnitude) \(\Delta H_{\text{neut}}\). [1]

PastPaper.markingScheme

**(a)**
- Award [1] for identifying Time (or \(t\)) as the independent variable.
- Award [1] for identifying Temperature (or \(T\)) as the dependent variable.

**(b)**
- Award [1] for referencing heat loss to surroundings/calorimeter during the process.
- Award [1] for referencing extrapolation back to the time of mixing (\(t = 0\)).
- Award [1] for explaining that extrapolation models instantaneous heat transfer / zero-heat-loss temperature.

**(c)**
- Award [1] for extrapolated maximum temperature of \(27.7\ ^\circ\text{C}\).
- Award [1] for showing initial temperature of \(21.3\ ^\circ\text{C}\).
- Award [1] for corrected temperature change of \(6.4\ ^\circ\text{C}\) (or \(6.4\text{ K}\)).

**(d)**
- Award [1] for correct substitution of values into \(q = mc\Delta T\) (e.g., \(100.0 \times 4.18 \times 6.4\)).
- Award [1] for final calculated energy value \(2675.2\text{ J}\) (accept \(2.68 \times 10^3\text{ J}\) or \(2680\text{ J}\)).

**(e)**
- Award [1] for correctly determining moles of reaction/water formed \(= 0.0500\text{ mol}\).
- Award [1] for \(\Delta H_{\text{neut}} = -53.5\text{ kJ mol}^{-1}\) (or value consistent with part (d), must include the negative sign).

**(f)**
- Award [1] for calculating percentage uncertainty in volume \(= 1.0\%\).
- Award [1] for identifying a valid systematic error (e.g., heat lost to surroundings, heat capacity of cup ignored).
- Award [1] for stating that this error makes the calculated \(\Delta H_{\text{neut}}\) less exothermic / smaller in magnitude.

Paper 3 Section B (Option D - Medicinal Chemistry)

Answer all questions from the chosen option.
3 PastPaper.question · 20.009999999999998 PastPaper.marks
PastPaper.question 1 · Structured
6.67 PastPaper.marks
Aspirin (acetylsalicylic acid) is a widely used mild analgesic. (a) Deduce the equation for the synthesis of aspirin from salicylic acid (2-hydroxybenzoic acid) using ethanoic anhydride, and state the catalyst used. [3] (b) The crude aspirin obtained is purified by recrystallization. Describe the steps involved in this purification process, emphasizing the choice of solvent. [2] (c) State how melting point determination can be used to verify the purity of the synthesized aspirin, describing the expected observation for an impure sample. [1.67]
PastPaper.showAnswers

PastPaper.workedSolution

(a) Equation: \(C_7H_6O_3 + C_4H_6O_3 \rightarrow C_9H_8O_4 + C_2H_4O_2\) (or written using names: salicylic acid + ethanoic anhydride \(\rightarrow\) acetylsalicylic acid + ethanoic acid). Catalyst: Concentrated sulfuric acid (\(H_2SO_4\)) or concentrated phosphoric acid (\(H_3PO_4\)). (b) Dissolve the crude aspirin in the minimum volume of a hot solvent (such as an ethanol/water mixture) in which aspirin is highly soluble when hot but poorly soluble when cold. Filter the hot solution to remove insoluble impurities, then cool the filtrate slowly to allow pure aspirin crystals to form. Filter the crystals under vacuum and dry them. (c) Determine the melting point range of the sample. Pure aspirin has a sharp melting point at approximately 135-136 \(^\circ\)C. An impure sample will melt over a wider temperature range and at a lower temperature than the pure substance.

PastPaper.markingScheme

(a) Award [1] for correct reactants: salicylic acid/\(C_7H_6O_3\) AND ethanoic anhydride/\(C_4H_6O_3\). Award [1] for correct products: acetylsalicylic acid/\(C_9H_8O_4\) AND ethanoic acid/\(C_2H_4O_2\). Award [1] for concentrated \(H_2SO_4\) or concentrated \(H_3PO_4\) catalyst. (b) Award [1] for dissolving the crude product in the minimum volume of hot solvent. Award [1] for cooling the solution to form crystals and filtering to isolate the pure product. (c) Award [1] for stating that the melting point is compared to the literature/pure value (135-136 \(^\circ\)C). Award [0.67] for stating that impurities lower the melting point and broaden the melting temperature range.
PastPaper.question 2 · Structured
6.67 PastPaper.marks
Penicillins are highly effective antibacterial agents, but their widespread use has led to bacterial resistance. (a) Explain the mode of action of penicillin, referring to the significance of the beta-lactam ring in its structure. [3] (b) Discuss how some bacteria have developed resistance to penicillin and describe how modern penicillins are modified to overcome this resistance. [3.67]
PastPaper.showAnswers

PastPaper.workedSolution

(a) The beta-lactam ring is a highly strained four-membered ring containing bond angles of approximately 90\(^\circ\) instead of the preferred tetrahedral or trigonal planar angles. This strain makes the amide bond inside the ring highly reactive. The ring opens and covalently binds to the active site of the transpeptidase enzyme, irreversibly inhibiting cell-wall cross-linking in bacteria. This weakens the cell wall, causing water to enter by osmosis until the bacterium undergoes osmotic lysis (bursts). (b) Resistant bacteria produce an enzyme called beta-lactamase (or penicillinase). This enzyme hydrolyzes the amide link in the beta-lactam ring, opening the ring and rendering the penicillin inactive. Modern penicillins are modified by replacing the side-chain (R group) with a bulkier substituent. This bulkier group introduces steric hindrance, preventing the beta-lactamase enzyme from accessing and binding to the beta-lactam ring while still allowing the drug to bind to its target transpeptidase enzyme. Alternatively, the penicillin can be administered alongside a beta-lactamase inhibitor like clavulanic acid.

PastPaper.markingScheme

(a) Award [1] for noting that the beta-lactam ring has high ring strain / 90\(^\circ\) bond angles. Award [1] for stating this makes the amide bond highly reactive / prone to opening. Award [1] for stating it inhibits the transpeptidase enzyme, preventing cell-wall cross-linking and causing osmotic lysis. (b) Award [1] for stating that resistant bacteria produce the enzyme beta-lactamase / penicillinase. Award [1] for stating that this enzyme hydrolyzes / cleaves the beta-lactam ring. Award [1] for explaining that modifying the side-chain (R group) to be bulkier introduces steric hindrance that blocks beta-lactamase. Award [0.67] for suggesting co-administration with a beta-lactamase inhibitor / clavulanic acid.
PastPaper.question 3 · Structured
6.67 PastPaper.marks
Antiviral drugs function differently from antibacterial agents due to the biological differences between viruses and bacteria. (a) Explain why viral infections are generally much more difficult to treat with drugs than bacterial infections. [3] (b) Oseltamivir (Tamiflu) and Zanamivir (Relenza) are two common antivirals used against the influenza virus. (i) Identify two functional groups that are present in both oseltamivir and zanamivir molecules. [1.67] (ii) Explain the mechanism of action of these two drugs in combating influenza. [2]
PastPaper.showAnswers

PastPaper.workedSolution

(a) Bacteria are living cellular organisms with their own unique metabolic pathways and structures (such as cell walls and 70S ribosomes) that can be targeted specifically by drugs without affecting human cells. In contrast, viruses lack cell structures and metabolic machinery of their own; they reproduce inside host cells by hijacking the host's cellular pathways. Designing drugs that block viral replication without damaging the host cells is extremely difficult. Furthermore, viruses mutate rapidly, changing their surface proteins and rendering treatments ineffective quickly. (b) (i) Both oseltamivir and zanamivir molecules contain an amide (or carboxamide) group and an alkene (carbon-carbon double bond, C=C). (ii) Both drugs act as neuraminidase inhibitors. They bind to the active site of the neuraminidase enzyme on the surface of the influenza virus, preventing it from cleaving sialic acid on the host cell membrane. This prevents newly formed viral particles (virions) from being released from the infected cell, limiting the spread of the virus to healthy cells.

PastPaper.markingScheme

(a) Award [1] for stating bacteria have distinct structures/metabolic pathways that can be targeted. Award [1] for stating viruses rely on host cell machinery for replication. Award [1] for explaining that targeting viral replication risks damaging host cells OR that viruses mutate rapidly. (b) (i) Award [0.83] for identifying amide / carboxamide. Award [0.84] for identifying alkene / C=C double bond (Accept ether / cyclic ether or amine). (ii) Award [1] for identifying them as neuraminidase inhibitors. Award [1] for explaining that they prevent the release of new viral particles (virions) from the infected host cell.

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