OCR GCSE · Thinka-original Practice Paper

2022 OCR GCSE Gateway Science - Chemistry A - J248 Practice Paper with Answers

Thinka Jun 2022 Cambridge OCR GCSE-Style Mock — Gateway Science - Chemistry A - J248

180 marks210 mins2022
An original Thinka practice paper modelled on the structure and difficulty of the Jun 2022 Cambridge OCR GCSE Gateway Science - Chemistry A - J248 paper. Not affiliated with or reproduced from Cambridge.

Paper 3 (Higher Tier) Mock structure

Answer all questions. Section A contains multiple choice questions. Section B contains structured and calculation questions.
33 Question · 77 marks
Question 1 · MCQ
1 marks
A student electrolyses aqueous copper(II) chloride, \(\text{CuCl}_2\text{(aq)}\), using inert carbon electrodes. Which half-equation correctly represents the reaction occurring at the anode (positive electrode)?
  1. A.\(2\text{Cl}^-\text{(aq)} \rightarrow \text{Cl}_2\text{(g)} + 2\text{e}^-\)
  2. B.\(\text{Cu}^{2+}\text{(aq)} + 2\text{e}^- \rightarrow \text{Cu(s)}\)
  3. C.\(\text{Cl}_2\text{(g)} + 2\text{e}^- \rightarrow 2\text{Cl}^-\text{(aq)}\)
  4. D.\(\text{Cu(s)} \rightarrow \text{Cu}^{2+}\text{(aq)} + 2\text{e}^-\)
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Worked solution

At the anode (positive electrode), oxidation of negative ions occurs. Since chloride ions are present, they are discharged in preference to hydroxide ions, forming chlorine gas: \(2\text{Cl}^-\text{(aq)} \rightarrow \text{Cl}_2\text{(g)} + 2\text{e}^-\).

Marking scheme

1 mark for the correct answer A.
Question 2 · MCQ
1 marks
A student reacts calcium carbonate chips with excess dilute hydrochloric acid. They measure the volume of carbon dioxide gas produced. If they repeat the experiment using the same mass of calcium carbonate but in the form of a fine powder, how will the rate of reaction and the total volume of gas collected change?
  1. A.The rate of reaction increases, and the total volume of gas increases.
  2. B.The rate of reaction increases, and the total volume of gas remains the same.
  3. C.The rate of reaction decreases, and the total volume of gas remains the same.
  4. D.The rate of reaction remains the same, and the total volume of gas remains the same.
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Worked solution

Using a fine powder increases the surface area, which increases the rate of reaction. Since the mass of the limiting reactant (calcium carbonate) remains constant, the total volume of gas produced does not change.

Marking scheme

1 mark for the correct answer B.
Question 3 · MCQ
1 marks
Which statement correctly describes the bonding and properties of silicon dioxide (silica, \(\text{SiO}_2\))?
  1. A.It has a giant covalent structure, giving it a very high melting point, and it does not conduct electricity because it has no free ions or delocalised electrons.
  2. B.It has a simple molecular structure with strong covalent bonds, giving it a low melting point.
  3. C.It has a giant ionic lattice, allowing it to conduct electricity when molten.
  4. D.It has metallic bonding with a sea of delocalised electrons, making it an excellent electrical conductor.
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Worked solution

Silicon dioxide has a giant covalent structure with many strong covalent bonds that require large amounts of energy to break, leading to a high melting point. It does not conduct electricity because it contains no free-moving ions or delocalised electrons.

Marking scheme

1 mark for the correct answer A.
Question 4 · MCQ
1 marks
An element, X, has two main isotopes. \(75.0\\%\) of the atoms are \(^{35}\text{X}\) and \(25.0\\%\) are \(^{37}\text{X}\). What is the relative atomic mass (\(A_{\text{r}}\)) of element X?
  1. A.35.0
  2. B.35.5
  3. C.36.0
  4. D.36.5
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Worked solution

Relative atomic mass is calculated by: \(A_{\text{r}} = \frac{(75.0 \times 35) + (25.0 \times 37)}{100} = \frac{2625 + 925}{100} = 35.5\).

Marking scheme

1 mark for the correct answer B.
Question 5 · MCQ
1 marks
A student uses paper chromatography to analyse a sample of ink. The solvent front travels \(8.0\text{ cm}\) from the start line. A spot from the ink travels \(6.0\text{ cm}\) from the start line. What is the \(R_{\text{f}}\) value of this spot?
  1. A.0.48
  2. B.0.75
  3. C.1.33
  4. D.1.40
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Worked solution

The retardation factor (\(R_{\text{f}}\)) is calculated using the formula: \(R_{\text{f}} = \frac{\text{distance moved by spot}}{\text{distance moved by solvent}} = \frac{6.0\text{ cm}}{8.0\text{ cm}} = 0.75\).

Marking scheme

1 mark for the correct answer B.
Question 6 · MCQ
1 marks
Which of the following molecules is an alkene that belongs to the same homologous series as propene, and what is its molecular formula?
  1. A.Ethane, \(\text{C}_2\text{H}_6\)
  2. B.Butene, \(\text{C}_4\text{H}_8\)
  3. C.Butane, \(\text{C}_4\text{H}_{10}\)
  4. D.Ethene, \(\text{C}_2\text{H}_6\)
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Worked solution

Alkenes are unsaturated hydrocarbons containing at least one carbon-carbon double bond with the general formula \(\text{C}_n\text{H}_{2n}\). Propene (\(\text{C}_3\text{H}_6\)) is an alkene, and butene (\(\text{C}_4\text{H}_8\)) is also an alkene in the same series. Ethane and butane are alkanes.

Marking scheme

1 mark for the correct answer B.
Question 7 · MCQ
1 marks
Which statement correctly describes how greenhouse gases, such as carbon dioxide and methane, contribute to the greenhouse effect?
  1. A.They absorb short-wavelength ultraviolet radiation from the sun and emit it back to space.
  2. B.They absorb long-wavelength infrared radiation reflected or emitted from the Earth's surface and re-radiate it in all directions.
  3. C.They react with nitrogen gas in the atmosphere to produce heat energy.
  4. D.They form a layer that prevents any solar radiation from reaching the Earth's surface.
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Worked solution

Greenhouse gases allow short-wavelength electromagnetic radiation (like visible light) from the sun to pass through the atmosphere. The Earth's surface absorbs this radiation and re-emits it as longer-wavelength infrared radiation. Greenhouse gases absorb this infrared radiation and re-radiate it, trapping heat in the atmosphere.

Marking scheme

1 mark for the correct answer B.
Question 8 · MCQ
1 marks
Consider the following reversible reaction at dynamic equilibrium in a closed system: \(\text{N}_2\text{(g)} + 3\text{H}_2\text{(g)} \rightleftharpoons 2\text{NH}_3\text{(g)}\) (where the forward reaction is exothermic). Which of the following changes will shift the position of equilibrium to the right, increasing the yield of ammonia (\(\text{NH}_3\))?
  1. A.Increasing the temperature and decreasing the pressure
  2. B.Decreasing the temperature and increasing the pressure
  3. C.Increasing the temperature and increasing the pressure
  4. D.Decreasing the temperature and decreasing the pressure
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Worked solution

To increase the yield of ammonia, we want to shift the equilibrium to the right. Because the forward reaction is exothermic, decreasing the temperature will favour the forward direction. Because there are more moles of gas on the reactant side (4 moles) than the product side (2 moles), increasing the pressure will shift the equilibrium to the side with fewer gas molecules (the right).

Marking scheme

1 mark for the correct answer B.
Question 9 · MCQ
1 marks
An element, \(X\), forms a chloride with the formula \(X\text{Cl}_4\). This chloride is a liquid at room temperature and does not conduct electricity when liquid or when dissolved in water. Which of the following describes the bonding and structure of \(X\text{Cl}_4\)?
  1. A.Giant covalent structure with strong covalent bonds.
  2. B.Ionic structure with electrostatic forces of attraction between ions.
  3. C.Simple molecular structure with strong covalent bonds within molecules and weak intermolecular forces.
  4. D.Metallic structure with delocalised electrons.
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Worked solution

A liquid at room temperature that does not conduct electricity as a liquid or in solution indicates a simple molecular structure. Covalent bonds exist within the molecules, but the weak intermolecular forces between molecules allow it to have a low boiling point, meaning it is a liquid at room temperature.

Marking scheme

1 mark for selecting option C.
Question 10 · MCQ
1 marks
Aqueous sodium sulfate, \(\text{Na}_2\text{SO}_4\text{(aq)}\), is electrolysed using inert electrodes. Which half-equation correctly represents the reaction occurring at the anode (positive electrode)?
  1. A.\(2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2\)
  2. B.\ ext{Na}^+ + \text{e}^- \rightarrow \text{Na}\
  3. C.\(4\text{OH}^- \rightarrow 2\text{H}_2\text{O} + \text{O}_2 + 4\text{e}^-\)
  4. D.\(2\text{SO}_4^{2-} \rightarrow \text{S}_2\text{O}_8^{2-} + 2\text{e}^-\)
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Worked solution

At the anode (positive electrode), negative ions migrate. In aqueous sodium sulfate, the anions present are sulfate (\(\text{SO}_4^{2-}\)) and hydroxide (\(\text{OH}^-\)). Hydroxide ions are more readily discharged than sulfate ions, producing oxygen gas and water: \(4\text{OH}^- \rightarrow 2\text{H}_2\text{O} + \text{O}_2 + 4\text{e}^-\).

Marking scheme

1 mark for selecting option C.
Question 11 · MCQ
1 marks
A student performs paper chromatography to analyse a mixture of food dyes. The solvent front travels \(8.0\text{ cm}\) from the baseline. One of the dyes has an \(R_{\text{f}}\) value of \(0.35\). How far from the baseline did this dye travel?
  1. A.\(2.8\text{ cm}\)
  2. B.\(0.044\text{ cm}\)
  3. C.\(22.9\text{ cm}\)
  4. D.\(5.2\text{ cm}\)
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Worked solution

The formula for calculating the \(R_{\text{f}}\) value is: \(R_{\text{f}} = \frac{\text{Distance travelled by substance}}{\text{Distance travelled by solvent}}\). Rearranging this to find the distance travelled by the dye: \text{Distance} = R_{\text{f}} \times \text{Distance of solvent} = 0.35 \times 8.0\text{ cm} = 2.8\text{ cm}.

Marking scheme

1 mark for selecting option A.
Question 12 · MCQ
1 marks
Which statement best explains why solids expand when heated, according to the particle model?
  1. A.The particles gain kinetic energy, overcome their strong bonds, and move further apart from each other.
  2. B.The particles gain thermal energy and expand in individual size.
  3. C.The particles vibrate more rapidly about their fixed positions, causing them to push slightly further apart.
  4. D.The particles lose attractive forces completely and begin to slide past one another.
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Worked solution

In a solid, particles are in fixed positions and vibrate. When heated, they gain kinetic energy and vibrate more rapidly and with greater amplitude. This causes the average distance between the particles to increase slightly, resulting in expansion. The particles themselves do not change size, and they do not overcome their bonds or slide past one another until melting occurs.

Marking scheme

1 mark for selecting option C.
Question 13 · MCQ
1 marks
An atom of an isotope of element \(Y\) contains 19 protons, 20 neutrons, and 18 electrons. What is the identity of species \(Y\)?
  1. A.\(\text{K}^+\)
  2. B.\(\text{Ca}^{2+}\)
  3. C.\(\text{Ar}\)
  4. D.\(\text{Cl}^-\)
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Worked solution

The number of protons determines the atomic number of the element. The element with atomic number 19 is Potassium (\(\text{K}\)). Since the number of electrons is 18 (one fewer than the 19 protons), it has a \(1+\) charge. Therefore, the species is \(\text{K}^+\).

Marking scheme

1 mark for selecting option A.
Question 14 · MCQ
1 marks
A student reacts \(4.8\text{ g}\) of magnesium ribbon with excess hydrochloric acid: \(\text{Mg(s)} + 2\text{HCl(aq)} \rightarrow \text{MgCl}_2\text{(aq)} + \text{H}_2\text{(g)}\). What volume of hydrogen gas, measured at room temperature and pressure (r.t.p.), is produced? (Relative atomic mass: \(\text{Mg} = 24\); molar volume of gas at r.t.p. = \(24\text{ dm}^3/\text{mol}\))
  1. A.\(0.2\text{ dm}^3\)
  2. B.\(4.8\text{ dm}^3\)
  3. C.\(2.4\text{ dm}^3\)
  4. D.\(9.6\text{ dm}^3\)
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Worked solution

1. Calculate moles of \(\text{Mg}\): \(\text{Moles of Mg} = 4.8 / 24 = 0.2\text{ mol}\). 2. According to the balanced equation, \(1\text{ mol of Mg}\) produces \(1\text{ mol of H}_2\). Thus, \(0.2\text{ mol of Mg}\) produces \(0.2\text{ mol of H}_2\). 3. Calculate the volume of \(\text{H}_2\) gas: \(\text{Volume} = 0.2\text{ mol} \times 24\text{ dm}^3/\text{mol} = 4.8\text{ dm}^3\).

Marking scheme

1 mark for selecting option B.
Question 15 · MCQ
1 marks
The reaction between hydrogen and chlorine is represented by the equation: \(\text{H}_2\text{(g)} + \text{Cl}_2\text{(g)} \rightarrow 2\text{HCl(g)}\). Using the bond energies provided, calculate the energy change for this reaction. Bond energies: \(\text{H-H}\) = \(436\text{ kJ/mol}\); \(\text{Cl-Cl}\) = \(243\text{ kJ/mol}\); \(\text{H-Cl}\) = \(432\text{ kJ/mol}\).
  1. A.\(-185\text{ kJ/mol}\)
  2. B.\(+185\text{ kJ/mol}\)
  3. C.\(-247\text{ kJ/mol}\)
  4. D.\(+247\text{ kJ/mol}\)
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Worked solution

1. Energy required to break reactant bonds: \(\text{H-H} + \text{Cl-Cl} = 436 + 243 = 679\text{ kJ/mol}\). 2. Energy released making product bonds: \(2 \times \text{H-Cl} = 2 \times 432 = 864\text{ kJ/mol}\). 3. Energy change = \(\text{Energy to break} - \text{Energy released} = 679 - 864 = -185\text{ kJ/mol}\).

Marking scheme

1 mark for selecting option A.
Question 16 · SAQ
3 marks
A student electrolyses a concentrated aqueous solution of sodium chloride (brine). Explain why hydrogen gas is produced at the negative electrode (cathode) instead of sodium metal, and write the balanced half-equation for the formation of hydrogen.
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Worked solution

During the electrolysis of aqueous sodium chloride, both sodium ions (\(\text{Na}^+\)) and hydrogen ions (\(\text{H}^+\)) are attracted to the negative cathode. Because sodium is more reactive than hydrogen in the reactivity series, hydrogen ions are more easily reduced (gain electrons) than sodium ions. Therefore, hydrogen ions discharge to form hydrogen gas, leaving the sodium ions in the solution. The half-equation for this process is: \(2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2\).

Marking scheme

1 mark: Identify that sodium is more reactive than hydrogen (or hydrogen ions are preferentially reduced/discharged). 1 mark: State that hydrogen ions gain electrons at the cathode. 1 mark: Correctly balanced half-equation: \(2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2\) (accept state symbols, accept fractions: \(\text{H}^+ + \text{e}^- \rightarrow \frac{1}{2}\text{H}_2\)).
Question 17 · SAQ
3 marks
Explain, in terms of the particle model and collision theory, why increasing the concentration of hydrochloric acid increases the rate of its reaction with magnesium ribbon.
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Worked solution

When the concentration of hydrochloric acid is increased, there are more reactant particles (hydrogen ions) present in the same volume of solution. This means the particles are closer together, which increases the frequency of collisions between the acid particles and the magnesium ribbon. Consequently, there are more successful collisions per unit time, which increases the overall rate of reaction.

Marking scheme

1 mark: State that there are more particles in a given volume / unit volume (do not accept just 'more particles'). 1 mark: State that collisions become more frequent / higher frequency of collisions (do not accept 'more collisions' without time reference). 1 mark: State that this leads to a higher rate of successful collisions (collisions with energy greater than the activation energy).
Question 18 · SAQ
3 marks
A compound is analyzed and found to contain \(40.0\%\) carbon, \(6.7\%\) hydrogen, and \(53.3\%\) oxygen by mass. Calculate the empirical formula of this compound. Show your working. (Relative atomic masses: \(\text{C} = 12.0\), \(\text{H} = 1.0\), \(\text{O} = 16.0\))
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Worked solution

Step 1: Calculate the moles of each element in a 100g sample. Moles of \(\text{C} = \frac{40.0}{12.0} = 3.33\text{ mol}\). Moles of \(\text{H} = \frac{6.7}{1.0} = 6.70\text{ mol}\). Moles of \(\text{O} = \frac{53.3}{16.0} = 3.33\text{ mol}\). Step 2: Divide each mole value by the smallest calculated mole value (3.33). Ratio of \(\text{C} = \frac{3.33}{3.33} = 1\). Ratio of \(\text{H} = \frac{6.70}{3.33} = 2\). Ratio of \(\text{O} = \frac{3.33}{3.33} = 1\). The empirical formula is \(\text{CH}_2\text{O}\).

Marking scheme

1 mark: Correct calculation of moles for all three elements (\(\text{C} = 3.33\), \(\text{H} = 6.7\), \(\text{O} = 3.33\)). 1 mark: Correct division by the smallest value to obtain the simplest whole number ratio (\(1 : 2 : 1\)). 1 mark: Correct final empirical formula: \(\text{CH}_2\text{O}\).
Question 19 · SAQ
3 marks
Describe the differences between addition polymerisation and condensation polymerisation in terms of the monomers used and the products formed.
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Worked solution

In addition polymerisation, the monomers used must be unsaturated molecules containing a carbon-to-carbon double bond (\(\text{C}=\text{C}\)), and only one product (the polymer) is formed. In condensation polymerisation, the monomers used contain two different functional groups (or there are two different types of monomers, each with two of the same functional groups). This process produces the polymer and also releases a small molecule, such as water (\(\text{H}_2\text{O}\)) or hydrogen chloride (\(\text{HCl}\)), as a byproduct.

Marking scheme

1 mark: Identify that addition polymerisation requires monomers with a \(\text{C}=\text{C}\) double bond, whereas condensation polymerisation requires monomers with two functional groups. 1 mark: Identify that addition polymerisation results in only one product (the polymer). 1 mark: Identify that condensation polymerisation yields the polymer and a small molecule (such as water or hydrogen chloride).
Question 20 · SAQ
3 marks
Explain why silicon dioxide has a very high melting point, whereas carbon dioxide (which also contains Group 4 and Group 6 elements) is a gas at room temperature.
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Worked solution

Silicon dioxide has a giant covalent macromolecular structure. Every silicon atom is covalently bonded to four oxygen atoms in a massive tetrahedral lattice. Breaking these strong covalent bonds requires a large amount of thermal energy, leading to a high melting point. In contrast, carbon dioxide exists as simple covalent molecules. While the double bonds within each \(\text{CO}_2\) molecule are strong, the intermolecular forces between individual molecules are very weak. Minimal energy is needed to overcome these weak forces, explaining why carbon dioxide is a gas at room temperature.

Marking scheme

1 mark: Describe silicon dioxide as having a giant covalent structure / lattice containing many strong covalent bonds. 1 mark: Describe carbon dioxide as consisting of simple molecular structures with weak intermolecular forces (forces between molecules). 1 mark: Explain that breaking the covalent bonds in silicon dioxide requires a large amount of energy, whereas overcoming the weak intermolecular forces in carbon dioxide requires very little energy.
Question 21 · SAQ
3 marks
The contact process involves the reversible reaction: \(2\text{SO}_2(\text{g}) + \text{O}_2(\text{g}) \rightleftharpoons 2\text{SO}_3(\text{g})\). The forward reaction is exothermic. Explain the effect of increasing the temperature on the position of equilibrium and the yield of sulfur trioxide (\(\text{SO}_3\)).
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Worked solution

According to Le Chatelier's Principle, if the temperature of a system at equilibrium is increased, the system will oppose this change by favoring the endothermic reaction to absorb heat. Since the forward reaction is exothermic, the backward reaction is endothermic. Therefore, increasing the temperature shifts the position of equilibrium to the left (towards the reactants). This results in a decreased yield of sulfur trioxide (\(\text{SO}_3\)).

Marking scheme

1 mark: State that increasing the temperature shifts the position of equilibrium to the left (or in the reverse/backwards direction). 1 mark: Explain that the equilibrium shifts to favor the endothermic direction to oppose the temperature increase. 1 mark: State that the yield of sulfur trioxide (\(\text{SO}_3\)) decreases.
Question 22 · SAQ
3 marks
Explain how greenhouse gases, such as carbon dioxide, maintain temperatures on Earth that are high enough to support life.
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Worked solution

Short-wavelength electromagnetic radiation (such as ultraviolet and visible light) emitted by the Sun passes through the Earth's atmosphere and is absorbed by the Earth's surface, warming it. The Earth then re-radiates this energy as longer-wavelength infrared (IR) radiation. Greenhouse gases like carbon dioxide in the atmosphere absorb this outgoing infrared radiation instead of letting it escape into space. The gas molecules then re-emit this thermal energy in all directions, including back towards the Earth, trapping heat and warming the atmosphere.

Marking scheme

1 mark: State that short-wavelength radiation from the Sun passes through the atmosphere and warms the Earth's surface. 1 mark: State that the Earth's surface re-emits longer-wavelength infrared radiation. 1 mark: Explain that greenhouse gases absorb this infrared radiation and re-emit / re-radiate it in all directions, trapping heat in the atmosphere.
Question 23 · SAQ
3 marks
A student uses paper chromatography to analyze a food coloring dye. The solvent front travels \(8.0\text{ cm}\) from the baseline. One of the spots in the dye travels \(5.2\text{ cm}\). Calculate the \(R_f\) value of this spot, and explain how the student could use this value to identify the specific food dye substance.
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Worked solution

First, calculate the retention factor (\(R_f\)) value using the formula: \(R_f = \frac{\text{distance moved by substance}}{\text{distance moved by solvent front}}\) which gives \(R_f = \frac{5.2}{8.0} = 0.65\). To identify the substance, the student can compare this calculated \(R_f\) value with known reference \(R_f\) values from a database. Crucially, the comparison must be done under identical conditions, using the exact same solvent (mobile phase) and chromatography paper (stationary phase).

Marking scheme

1 mark: Correct calculation of the \(R_f\) value as \(0.65\) (accept no units; reject if greater than 1). 1 mark: State that the calculated value must be compared to known reference \(R_f\) values of substances. 1 mark: Specify that the comparison must be conducted using the same solvent and chromatography conditions (stationary phase).
Question 24 · SAQ
3 marks
A student electrolyses a concentrated aqueous solution of sodium chloride using inert electrodes. Explain why chlorine gas is produced at the anode instead of oxygen gas, and write the balanced half-equation for the reaction occurring at the anode.
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Worked solution

1. Identify that both hydroxide (\(\text{OH}^-\)) and chloride (\(\text{Cl}^-\)) ions migrate to the anode. 2. Explain that in a concentrated halide solution, halide ions (\(\text{Cl}^-\)) are preferentially discharged over hydroxide ions. 3. Write the balanced oxidation half-equation: \(2\text{Cl}^- \rightarrow \text{Cl}_2 + 2\text{e}^-\) (or \(2\text{Cl}^- - 2\text{e}^- \rightarrow \text{Cl}_2\)).

Marking scheme

1 mark: State that both chloride and hydroxide ions migrate to the anode, but chloride ions are discharged because they are in a high concentration (halide ions discharge preferentially in concentrated solutions). 1 mark: Identify chlorine gas is formed. 1 mark: Correct balanced half-equation: \(2\text{Cl}^- \rightarrow \text{Cl}_2 + 2\text{e}^-\) (allow state symbols, but they are not required).
Question 25 · SAQ
3 marks
Silicon dioxide (\(\text{SiO}_2\)) has a high melting point of \(1710\text{ }^\circ\text{C}\), whereas carbon dioxide (\(\text{CO}_2\)) is a gas at room temperature. Explain this difference in terms of their structures and bonding.
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Worked solution

1. Describe silicon dioxide: it has a giant covalent lattice structure. To melt it, many strong covalent bonds between atoms must be broken, which requires a massive amount of thermal energy. 2. Describe carbon dioxide: it consists of simple molecules. To melt/boil it, only weak intermolecular forces between the molecules need to be overcome, which requires very little energy. 3. Conclude that this explains the vast difference in melting points.

Marking scheme

1 mark: Identify that silicon dioxide is a giant covalent structure with many strong covalent bonds that require a large amount of energy to break. 1 mark: Identify that carbon dioxide has a simple molecular structure with weak intermolecular forces between molecules. 1 mark: State that very little energy is needed to overcome these weak intermolecular forces compared to breaking strong covalent bonds.
Question 26 · SAQ
3 marks
A student reacts \(4.80\text{ g}\) of magnesium ribbon with excess hydrochloric acid: \(\text{Mg(s)} + 2\text{HCl(aq)} \rightarrow \text{MgCl}_2\text{(aq)} + \text{H}_2\text{(g)}\). Calculate the maximum volume of hydrogen gas, in \(\text{dm}^3\), produced at room temperature and pressure (rtp). (Relative atomic mass: \(\text{Mg} = 24.0\); molar gas volume at rtp = \(24.0\text{ dm}^3/\text{mol}\)).
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Worked solution

1. Calculate the number of moles of magnesium: \(\text{moles} = \frac{\text{mass}}{\text{Ar}} = \frac{4.80\text{ g}}{24.0\text{ g/mol}} = 0.20\text{ mol}\). 2. Determine moles of hydrogen gas produced: the stoichiometric ratio of \(\text{Mg} : \text{H}_2\) is 1:1, so \(0.20\text{ mol}\) of \(\text{Mg}\) produces \(0.20\text{ mol}\) of \(\text{H}_2\). 3. Calculate gas volume: \(\text{volume} = \text{moles} \times 24.0\text{ dm}^3/\text{mol} = 0.20 \times 24.0 = 4.80\text{ dm}^3\).

Marking scheme

1 mark: Calculate the correct number of moles of magnesium (\(0.20\text{ mol}\)). 1 mark: Identify the 1:1 molar ratio, meaning \(0.20\text{ mol}\) of \(\text{H}_2\) is produced. 1 mark: Correct calculation of volume of hydrogen gas as \(4.8\text{ dm}^3\) (accept \(4.80\text{ dm}^3\)). Award 3 marks for correct final answer without working shown.
Question 27 · SAQ
3 marks
A student analyses a food dye using paper chromatography. The solvent front travels \(8.0\text{ cm}\) from the baseline. One dye spot has an \(R_f\) value of \(0.65\). Calculate the distance travelled by this dye spot in \(\text{cm}\), and explain why the baseline must be drawn in pencil rather than ink.
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Worked solution

1. Use the \(R_f\) formula: \(\text{distance travelled by dye} = R_f \times \text{distance travelled by solvent}\). 2. Substitute the values: \(\text{distance} = 0.65 \times 8.0\text{ cm} = 5.2\text{ cm}\). 3. Explain that ink is soluble in the chromatography solvent and would run or separate, interfering with the results, whereas pencil (graphite) is insoluble and will stay on the baseline.

Marking scheme

1 mark: Calculate the distance travelled by the dye correctly as \(5.2\text{ cm}\). 1 mark: State that pencil (graphite) is insoluble in the solvent. 1 mark: Explain that ink is soluble and would dissolve, run, and contaminate or interfere with the chromatogram.
Question 28 · Calculations
4 marks
Titanium is extracted from titanium(IV) chloride by reacting it with sodium at a high temperature. The balanced equation is: \(\text{TiCl}_4 + 4\text{Na} \rightarrow \text{Ti} + 4\text{NaCl}\). Calculate the mass of titanium produced when 9.50 g of \(\text{TiCl}_4\) is reacted with excess sodium. Relative atomic masses (\(A_r\)): \(\text{Ti} = 48.0\), \(\text{Cl} = 35.5\).
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Worked solution

Step 1: Calculate the relative formula mass (\(M_r\)) of \(\text{TiCl}_4\): \(M_r = 48.0 + (4 \times 35.5) = 190.0\).
Step 2: Calculate the number of moles of \(\text{TiCl}_4\) used: \(\text{moles} = \frac{9.50}{190.0} = 0.050\text{ mol}\).
Step 3: Use the balanced equation to find the moles of titanium produced. The ratio of \(\text{TiCl}_4 : \text{Ti}\) is 1:1, so 0.050 mol of \(\text{Ti}\) is produced.
Step 4: Calculate the mass of titanium produced: \(\text{mass} = 0.050 \times 48.0 = 2.40\text{ g}\).

Marking scheme

1. Correctly calculates the relative formula mass of \(\text{TiCl}_4\) as 190 [1 mark].
2. Calculates the moles of \(\text{TiCl}_4\) as 0.050 mol [1 mark].
3. Uses the 1:1 stoichiometry to deduce that 0.050 mol of \(\text{Ti}\) is produced [1 mark].
4. Calculates the final mass of titanium as 2.40 g [1 mark]. (Accept 2.4 g. Award full marks for correct final answer with no working.)
Question 29 · Calculations
4 marks
A student carries out a titration to find the concentration of a sodium hydroxide solution. They find that 25.0 \(\text{cm}^3\) of the sodium hydroxide solution is neutralised by exactly 18.50 \(\text{cm}^3\) of 0.120 \(\text{mol/dm}^3\) sulfuric acid. The equation for the reaction is: \(\text{H}_2\text{SO}_4 + 2\text{NaOH} \rightarrow \text{Na}_2\text{SO}_4 + 2\text{H}_2\text{O}\). Calculate the concentration of the sodium hydroxide solution. Give your answer to 3 significant figures.
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Worked solution

Step 1: Calculate the moles of sulfuric acid reacted: \(\text{moles} = \text{concentration} \times \text{volume in dm}^3 = 0.120 \times \frac{18.50}{1000} = 0.00222\text{ mol}\).
Step 2: Use the stoichiometry of the equation to find the moles of sodium hydroxide. The ratio of \(\text{H}_2\text{SO}_4\) to \(\text{NaOH}\) is 1:2. Moles of \(\text{NaOH} = 0.00222 \times 2 = 0.00444\text{ mol}\).
Step 3: Convert the volume of sodium hydroxide to \(\text{dm}^3\): \(\frac{25.0}{1000} = 0.0250\text{ dm}^3\).
Step 4: Calculate the concentration of sodium hydroxide: \(\text{concentration} = \frac{\text{moles}}{\text{volume}} = \frac{0.00444}{0.0250} = 0.1776\text{ mol/dm}^3\). Rounded to 3 significant figures, this is 0.178 \(\text{mol/dm}^3\).

Marking scheme

1. Calculates moles of \(\text{H}_2\text{SO}_4\) as 0.00222 mol [1 mark].
2. Multiplies moles by 2 to find moles of \(\text{NaOH}\) as 0.00444 mol [1 mark].
3. Divides by volume of \(\text{NaOH}\) in \(\text{dm}^3\) (0.0250) [1 mark].
4. Obtains final answer of 0.178 (or 0.1776) \(\text{mol/dm}^3\) [1 mark]. (Award full marks for correct final answer with no working. Accept rounding to 0.18 if correct intermediate steps shown.)
Question 30 · Calculations
4 marks
Ethanol can be produced by the fermentation of glucose: \(\text{C}_6\text{H}_{12}\text{O}_6 \rightarrow 2\text{C}_2\text{H}_5\text{OH} + 2\text{CO}_2\). Calculate the percentage atom economy for the production of ethanol in this reaction. Relative atomic masses (\(A_r\)): \(\text{H} = 1.0\), \(\text{C} = 12.0\), \(\text{O} = 16.0\).
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Worked solution

Step 1: Calculate the relative formula mass (\(M_r\)) of the reactant, glucose: \(M_r(\text{C}_6\text{H}_{12}\text{O}_6) = (6 \times 12.0) + (12 \times 1.0) + (6 \times 16.0) = 180.0\).
Step 2: Calculate the relative formula mass of the desired product, ethanol: \(M_r(\text{C}_2\text{H}_5\text{OH}) = (2 \times 12.0) + (6 \times 1.0) + 16.0 = 46.0\).
Step 3: Calculate the total mass of the desired product: \(2 \times 46.0 = 92.0\).
Step 4: Calculate the atom economy: \(\text{Atom Economy} = \frac{\text{mass of desired product}}{\text{total mass of reactants}} \times 100 = \frac{92.0}{180.0} \times 100 = 51.11...\%\). Rounded to 1 decimal place, this is 51.1%.

Marking scheme

1. Calculates the \(M_r\) of glucose as 180 and the \(M_r\) of ethanol as 46 [1 mark].
2. Determines the total mass of desired product as 92 [1 mark].
3. Correctly sets up the equation: \(\frac{92}{180} \times 100\) [1 mark].
4. Calculates the final atom economy as 51.1% (or 51%) [1 mark]. (Award full marks for correct final answer. If total mass of products was used as the denominator, allow method mark.)
Question 31 · Calculations
4 marks
Calculate the overall energy change, in kJ/mol, for the following gas-phase reaction: \(\text{CH}_4\text{(g)} + \text{Cl}_2\text{(g)} \rightarrow \text{CH}_3\text{Cl(g)} + \text{HCl(g)}\). Use the following mean bond energies: \(\text{C-H}\) = 413 kJ/mol, \(\text{Cl-Cl}\) = 243 kJ/mol, \(\text{C-Cl}\) = 327 kJ/mol, \(\text{H-Cl}\) = 432 kJ/mol.
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Worked solution

Step 1: Calculate the energy required to break bonds in the reactants. Bonds broken: 4 \(\text{C-H}\) bonds and 1 \(\text{Cl-Cl}\) bond. \(\text{Energy in} = (4 \times 413) + 243 = 1652 + 243 = 1895\text{ kJ/mol}\). (Alternatively, considering only the bonds that change: 1 \(\text{C-H}\) and 1 \(\text{Cl-Cl}\) broken = \(413 + 243 = 656\text{ kJ/mol}\)).
Step 2: Calculate the energy released when new bonds are formed in the products. Bonds formed: 3 \(\text{C-H}\) bonds, 1 \(\text{C-Cl}\) bond, and 1 \(\text{H-Cl}\) bond. \(\text{Energy out} = (3 \times 413) + 327 + 432 = 1239 + 327 + 432 = 1998\text{ kJ/mol}\). (Alternatively, considering only the bonds that change: 1 \(\text{C-Cl}\) and 1 \(\text{H-Cl}\) formed = \(327 + 432 = 759\text{ kJ/mol}\)).
Step 3: Calculate the overall energy change: \(\text{Energy change} = \text{Energy in} - \text{Energy out} = 1895 - 1998 = -103\text{ kJ/mol}\) (or \(656 - 759 = -103\text{ kJ/mol}\)).

Marking scheme

1. Calculates total energy needed to break reactant bonds as 1895 kJ/mol (or 656 kJ/mol) [1 mark].
2. Calculates total energy released from making product bonds as 1998 kJ/mol (or 759 kJ/mol) [1 mark].
3. Correct subtraction method: \(\text{energy to break} - \text{energy to make}\) [1 mark].
4. Final answer of -103 kJ/mol [1 mark]. (Award 3 marks for 103 without the minus sign. Award full marks for correct final answer with sign and working.)
Question 32 · Calculations
4 marks
An excess of hydrochloric acid is added to 5.00 g of calcium carbonate. The equation for the reaction is: \(\text{CaCO}_3\text{(s)} + 2\text{HCl(aq)} \rightarrow \text{CaCl}_2\text{(aq)} + \text{H}_2\text{O(l)} + \text{CO}_2\text{(g)}\). Calculate the volume, in \(\text{dm}^3\), of carbon dioxide gas produced at room temperature and pressure (RTP). Relative atomic masses (\(A_r\)): \(\text{C} = 12.0\), \(\text{O} = 16.0\), \(\text{Ca} = 40.0\). One mole of any gas occupies 24.0 \(\text{dm}^3\) at RTP.
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Worked solution

Step 1: Calculate the relative formula mass (\(M_r\)) of \(\text{CaCO}_3\): \(M_r = 40.0 + 12.0 + (3 \times 16.0) = 100.0\).
Step 2: Calculate the number of moles of \(\text{CaCO}_3\) reacted: \(\text{moles} = \frac{5.00}{100.0} = 0.050\text{ mol}\).
Step 3: Deduce the moles of carbon dioxide gas produced. The mole ratio of \(\text{CaCO}_3 : \text{CO}_2\) is 1:1, so 0.050 mol of \(\text{CO}_2\) is produced.
Step 4: Calculate the volume of \(\text{CO}_2\) at RTP: \(\text{volume} = 0.050 \times 24.0 = 1.20\text{ dm}^3\).

Marking scheme

1. Correctly calculates the relative formula mass of \(\text{CaCO}_3\) as 100 [1 mark].
2. Calculates moles of \(\text{CaCO}_3\) as 0.050 mol [1 mark].
3. Recognises 1:1 mole ratio of reactant to gas product [1 mark].
4. Multiplies by 24.0 to obtain 1.20 \(\text{dm}^3\) (accept 1.2 or 1.20) [1 mark]. (Award full marks for correct final answer with no working.)
Question 33 · Extended LOR
6 marks
Ammonia is manufactured on an industrial scale by the Haber process using the following reversible reaction:

\[\text{N}_2(\text{g}) + 3\text{H}_2(\text{g}) \rightleftharpoons 2\text{NH}_3(\text{g}) \quad \Delta H = -92\text{ kJ/mol}\]

Describe and explain the effect of temperature and pressure on both the rate of reaction and the yield of ammonia. Explain why a compromise temperature of \(450\ ^\circ\text{C}\) and a compromise pressure of \(200\text{ atmospheres}\) are used, and explain the role of the iron catalyst in this process.
Show answer & marking scheme

Worked solution

### Indicative Content

#### 1. Temperature
* **Effect on Yield**: The forward reaction is exothermic. According to Le Chatelier's principle, lowering the temperature shifts the position of equilibrium to the right to produce more heat, increasing the yield of ammonia. Thus, a high temperature decreases the equilibrium yield.
* **Effect on Rate**: Lowering the temperature decreases the kinetic energy of the reacting particles. This results in fewer successful collisions per second, slowing down the rate of reaction.
* **Compromise**: \(450\ ^\circ\text{C}\) is a compromise temperature. It is low enough to ensure a reasonable yield of ammonia, but high enough to maintain an acceptable rate of reaction.

#### 2. Pressure
* **Effect on Yield**: There are 4 moles of gas on the reactant side and only 2 moles of gas on the product side. Increasing the pressure shifts the equilibrium to the side with fewer gas molecules (the right), increasing the yield of ammonia.
* **Effect on Rate**: Increasing the pressure brings the gas particles closer together, increasing the frequency of collisions, which increases the rate of reaction.
* **Compromise**: While higher pressure increases both rate and yield, extremely high pressures are incredibly expensive to maintain (requiring strong pipes, compressors, and lots of energy) and present significant safety hazards (risk of explosion). Therefore, \(200\text{ atm}\) is chosen as a safe and economically viable compromise.

#### 3. Iron Catalyst
* **Role**: The catalyst increases the rate of both the forward and reverse reactions equally by providing an alternative reaction pathway with a lower activation energy.
* **Effect on Yield**: It does NOT affect the position of equilibrium or the yield of ammonia.
* **Benefit**: It allows the reaction to reach dynamic equilibrium much faster, meaning a lower compromise temperature can be utilized, saving energy costs.

Marking scheme

### Level of Response Criteria

* **Level 3 (5–6 marks)**:
* Explains the effects of both temperature and pressure on rate AND equilibrium yield clearly, using correct chemistry terminology (e.g., collision theory, exothermic forward reaction, gas mole ratio, Le Chatelier's principle).
* Explains the compromise for both temperature and pressure in terms of yield, rate, and cost/safety.
* Explains the role and economic benefit of the iron catalyst.
* *Line of reasoning is well-developed, clear, and logically structured.*

* **Level 2 (3–4 marks)**:
* Explains the effect of temperature and/or pressure on rate and yield, with some reference to compromise conditions.
* Mentions the role of the catalyst (e.g., speeds up reaction).
* *There is a line of reasoning with some structure. Supporting points are mostly relevant but may not cover all parts of the question in equal depth.*

* **Level 1 (1–2 marks)**:
* Identifies basic relationships (e.g., high temperature makes reaction faster; high pressure increases yield).
* Mentions that a catalyst is used to speed up the reaction.
* *Information is basic and lacks detailed chemical explanations or discussion of compromises.*

* **0 marks**: No response or no creditworthy content.

Paper 4 (Higher Tier) Mock structure

Answer all questions. Section A contains multiple choice questions. Section B contains structured, calculations, and an extended LOR question.
33 Question · 77 marks
Question 1 · MCQ
1 marks
The synthesis of methanol is a reversible reaction:

\(\text{CO(g)} + 2\text{H}_2\text{(g)} \rightleftharpoons \text{CH}_3\text{OH(g)} \quad \Delta H = -91\text{ kJ/mol}\)

Which set of conditions would maximise the equilibrium yield of methanol?
  1. A.Low temperature and low pressure
  2. B.High temperature and high pressure
  3. C.Low temperature and high pressure
  4. D.High temperature and low pressure
Show answer & marking scheme

Worked solution

The forward reaction is exothermic (\(\Delta H = -91\text{ kJ/mol}\)), so a low temperature shifts the position of equilibrium to the right to oppose the change, increasing the yield of methanol. There are 3 moles of gas on the reactant side and 1 mole of gas on the product side. Therefore, a high pressure shifts the position of equilibrium to the right (the side with fewer moles of gas) to decrease the pressure, also increasing the yield of methanol.

Marking scheme

[1 mark] C - Low temperature and high pressure
- Reject other combinations.
Question 2 · MCQ
1 marks
An aqueous solution of sodium sulfate, \(\text{Na}_2\text{SO}_4\text{(aq)}\), is electrolysed using inert platinum electrodes. What are the products formed at the anode and cathode?
  1. A.Anode: Oxygen; Cathode: Hydrogen
  2. B.Anode: Sulfur dioxide; Cathode: Sodium
  3. C.Anode: Oxygen; Cathode: Sodium
  4. D.Anode: Hydrogen; Cathode: Oxygen
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Worked solution

In aqueous solution, sodium ions (\(\text{Na}^+\)) and hydrogen ions (\(\text{H}^+\)) migrate to the cathode. Since sodium is more reactive than hydrogen, hydrogen gas is produced at the cathode. Sulfate ions (\(\text{SO}_4^{2-}\)) and hydroxide ions (\(\text{OH}^-\)) migrate to the anode. Hydroxide ions are preferentially discharged over sulfate ions to form oxygen gas and water at the anode.

Marking scheme

[1 mark] A - Anode: Oxygen; Cathode: Hydrogen
- Reject other combinations.
Question 3 · MCQ
1 marks
A student investigates the rate of reaction between calcium carbonate and hydrochloric acid. Why does increasing the concentration of hydrochloric acid increase the rate of reaction?
  1. A.It increases the activation energy of the colliding reactant particles.
  2. B.It increases the frequency of collisions between reactant particles.
  3. C.It increases the average kinetic energy of the reactant particles.
  4. D.It increases the proportion of particles with energy greater than the activation energy.
Show answer & marking scheme

Worked solution

Increasing the concentration increases the number of acid particles per unit volume. This increases the frequency of collisions between the reactant particles, which in turn increases the rate of reaction. It does not affect the activation energy, the average kinetic energy of the particles, or the proportion of particles with energy greater than the activation energy (which is influenced by temperature and catalysts).

Marking scheme

[1 mark] B - It increases the frequency of collisions between reactant particles
- Reject options suggesting changes in energy or activation energy.
Question 4 · MCQ
1 marks
A polyester is made by condensation polymerisation. Which of the following pairs of monomers could react together to form a polyester?
  1. A.\(\text{HOOC-CH}_2\text{-COOH}\) and \(\text{HO-CH}_2\text{CH}_2\text{-OH}\)
  2. B.\(\text{CH}_3\text{CH}_2\text{-COOH}\) and \(\text{CH}_3\text{CH}_2\text{-OH}\)
  3. C.\(\text{HOOC-CH}_2\text{-COOH}\) and \(\text{CH}_3\text{CH}_2\text{-OH}\)
  4. D.\(\text{CH}_3\text{CH}_2\text{-COOH}\) and \(\text{HO-CH}_2\text{CH}_2\text{-OH}\)
Show answer & marking scheme

Worked solution

Condensation polymerisation to form a polyester requires two monomers that each have two functional groups at their ends (bifunctional). One must be a dicarboxylic acid (containing two \(\text{-COOH}\) groups) and the other must be a diol (containing two \(\text{-OH}\) groups). Option A represents propanedioic acid (\(\text{HOOC-CH}_2\text{-COOH}\)) and ethane-1,2-diol (\(\text{HO-CH}_2\text{CH}_2\text{-OH}\)), which will form ester links at both ends to create a polymer chain.

Marking scheme

[1 mark] A - \(\text{HOOC-CH}_2\text{-COOH}\) and \(\text{HO-CH}_2\text{CH}_2\text{-OH}\)
- Reject monomer pairs that do not contain two of each functional group.
Question 5 · MCQ
1 marks
A student tests separate portions of an unknown inorganic salt solution:
- Portion 1: Adding dilute hydrochloric acid produces bubbles of a gas that turns limewater cloudy.
- Portion 2: Adding dilute hydrochloric acid followed by barium chloride solution produces no precipitate.
- Portion 3: Adding dilute nitric acid followed by silver nitrate solution produces a cream precipitate.

Which ions are present in the salt solution?
  1. A.Carbonate and chloride
  2. B.Sulfate and bromide
  3. C.Carbonate and bromide
  4. D.Sulfite and iodide
Show answer & marking scheme

Worked solution

Portion 1: The reaction with acid producing carbon dioxide gas (which turns limewater cloudy) indicates carbonate ions (\(\text{CO}_3^{2-}\)) are present. Portion 2: No white precipitate with barium chloride means sulfate ions (\(\text{SO}_4^{2-}\)) are absent. Portion 3: A cream precipitate with silver nitrate indicates bromide ions (\(\text{Br}^-\)) are present. Therefore, the salt solution contains carbonate and bromide ions.

Marking scheme

[1 mark] C - Carbonate and bromide
- Reject other combinations.
Question 6 · MCQ
1 marks
What is the atom economy for the production of hydrogen in the steam-methane reforming reaction shown below?

\(\text{CH}_4\text{(g)} + \text{H}_2\text{O(g)} \rightarrow \text{CO(g)} + 3\text{H}_2\text{(g)}\)

(Relative formula masses: \(\text{CH}_4 = 16.0\), \(\text{H}_2\text{O} = 18.0\), \(\text{CO} = 28.0\), \(\text{H}_2 = 2.0\))
  1. A.\(6.0\%\)
  2. B.\(17.6\%\)
  3. C.\(21.4\%\)
  4. D.\(82.4\%\)
Show answer & marking scheme

Worked solution

Atom Economy is calculated using the formula:
\(\text{Atom Economy} = \frac{\text{Total } M_r \text{ of desired product}}{\text{Total } M_r \text{ of all reactants}} \times 100\)

Desired product is \(3\text{H}_2\), mass = \(3 \times 2.0 = 6.0\).
Total mass of reactants = \(\text{CH}_4 + \text{H}_2\text{O} = 16.0 + 18.0 = 34.0\).

\(\text{Atom Economy} = \frac{6.0}{34.0} \times 100 = 17.65\% \approx 17.6\%\).

Marking scheme

[1 mark] B - \(17.6\%\)
- Allow 18% if rounded.
- Reject 82.4% (atom economy of byproduct CO) or 5.9% (using 1 mole of H2 instead of 3).
Question 7 · MCQ
1 marks
Solid X has a high melting point, does not conduct electricity when solid, but conducts electricity when molten or dissolved in water. What type of bonding and structure does Solid X have?
  1. A.Giant covalent structure with covalent bonding
  2. B.Giant ionic lattice with ionic bonding
  3. C.Giant metallic lattice with metallic bonding
  4. D.Simple molecular structure with covalent bonding
Show answer & marking scheme

Worked solution

Ionic substances (giant ionic lattices) have high melting points due to strong electrostatic attractions between oppositely charged ions. They cannot conduct electricity when solid because the ions are fixed in a giant lattice, but they do conduct when molten or dissolved in water because the ions are free to move and carry charge.

Marking scheme

[1 mark] B - Giant ionic lattice with ionic bonding
- Reject other structures.
Question 8 · MCQ
1 marks
\(25.0\text{ cm}^3\) of \(0.200\text{ mol/dm}^3\) sodium hydroxide (\(\text{NaOH}\)) solution is completely neutralised by \(12.5\text{ cm}^3\) of sulfuric acid (\(\text{H}_2\text{SO}_4\)):

\(2\text{NaOH(aq)} + \text{H}_2\text{SO}_4\text{(aq)} \rightarrow \text{Na}_2\text{SO}_4\text{(aq)} + 2\text{H}_2\text{O(l)}\)

What is the concentration of the sulfuric acid in \(\text{mol/dm}^3\)?
  1. A.\(0.100\text{ mol/dm}^3\)
  2. B.\(0.200\text{ mol/dm}^3\)
  3. C.\(0.400\text{ mol/dm}^3\)
  4. D.\(0.800\text{ mol/dm}^3\)
Show answer & marking scheme

Worked solution

Step 1: Calculate moles of \(\text{NaOH}\):
\(\text{moles} = 0.200\text{ mol/dm}^3 \times 0.0250\text{ dm}^3 = 0.0050\text{ mol}\).

Step 2: Use the stoichiometry of the equation:
\(2\text{ moles of NaOH}\) react with \(1\text{ mole of H}_2\text{SO}_4\).
So, \(\text{moles of H}_2\text{SO}_4 = \frac{0.0050\text{ mol}}{2} = 0.0025\text{ mol}\).

Step 3: Calculate the concentration of \(\text{H}_2\text{SO}_4\):
\(\text{concentration} = \frac{\text{moles}}{\text{volume(dm}^3\text{)}} = \frac{0.0025\text{ mol}}{0.0125\text{ dm}^3} = 0.200\text{ mol/dm}^3\).

Marking scheme

[1 mark] B - \(0.200\text{ mol/dm}^3\)
- Reject other numerical values.
Question 9 · MCQ
1 marks
An aqueous solution of copper(II) sulfate is electrolyzed using inert carbon electrodes. Which product is formed at the positive anode, and which half-equation represents its formation?
  1. A.Copper metal: \(Cu^{2+} + 2e^{-} \rightarrow Cu\)
  2. B.Oxygen gas: \(4OH^{-} \rightarrow O_{2} + 2H_{2}O + 4e^{-}\)
  3. C.Hydrogen gas: \(2H^{+} + 2e^{-} \rightarrow H_{2}\)
  4. D.Sulfur dioxide gas: \(SO_{4}^{2-} \rightarrow SO_{2} + O_{2} + 2e^{-}\)
Show answer & marking scheme

Worked solution

At the positive anode, negative anions are attracted. In aqueous copper(II) sulfate, these are \(OH^{-}\) and \(SO_{4}^{2-}\). Since \(OH^{-}\) is more easily oxidized than \(SO_{4}^{2-}\), oxygen gas is produced at the anode according to the half-equation: \(4OH^{-} \rightarrow O_{2} + 2H_{2}O + 4e^{-}\).

Marking scheme

1 mark for selecting B.
Question 10 · MCQ
1 marks
The reversible reaction \(N_{2}O_{4}(g) \rightleftharpoons 2NO_{2}(g)\) has an enthalpy change of \(\Delta H = +57 \text{ kJ/mol}\). Nitrogen dioxide (\(NO_{2}\)) is a brown gas, while dinitrogen tetraoxide (\(N_{2}O_{4}\)) is colorless. Which set of conditions will shift the equilibrium position to produce the darkest brown color?
  1. A.High temperature and high pressure
  2. B.High temperature and low pressure
  3. C.Low temperature and high pressure
  4. D.Low temperature and low pressure
Show answer & marking scheme

Worked solution

The forward reaction is endothermic (\(\Delta H > 0\)), so increasing the temperature shifts the equilibrium position to the right to favor the formation of \(NO_{2}\). There is 1 mole of gas on the left and 2 moles of gas on the right, so decreasing the pressure shifts the equilibrium position to the right (the direction with more moles of gas) to produce more brown \(NO_{2}\) gas.

Marking scheme

1 mark for selecting B.
Question 11 · MCQ
1 marks
A polyamide can be synthesized through condensation polymerization. Which pair of monomers is required to produce a polyamide?
  1. A.A dicarboxylic acid and a diol
  2. B.A diamine and a dicarboxylic acid
  3. C.A diol and a diamine
  4. D.An alkene and an alkane
Show answer & marking scheme

Worked solution

Condensation polymerization to form a polyamide requires monomers with two amine functional groups (diamines) and monomers with two carboxylic acid functional groups (dicarboxylic acids), which react to form amide linkages with the loss of water molecules.

Marking scheme

1 mark for selecting B.
Question 12 · MCQ
1 marks
Iron is extracted from iron(III) oxide using carbon monoxide in a blast furnace: \(Fe_{2}O_{3} + 3CO \rightarrow 2Fe + 3CO_{2}\). What is the percentage atom economy for the production of iron in this reaction? (Relative atomic masses: \(C = 12\), \(O = 16\), \(Fe = 56\))
  1. A.23.0%
  2. B.45.9%
  3. C.70.0%
  4. D.84.8%
Show answer & marking scheme

Worked solution

Atom economy is calculated as \(\frac{\text{total } M_r \text{ of desired product}}{\text{total } M_r \text{ of all reactants}} \times 100\). The desired product is \(2Fe\), with mass \(2 \times 56 = 112\). The total mass of reactants is \(Fe_{2}O_{3} + 3CO = (2 \times 56 + 3 \times 16) + 3 \times (12 + 16) = 160 + 84 = 244\). Atom economy = \(\frac{112}{244} \times 100 = 45.9\%\).

Marking scheme

1 mark for selecting B.
Question 13 · MCQ
1 marks
A student investigates the rate of reaction between calcium carbonate and hydrochloric acid. If the temperature is increased while keeping all other variables constant, why does the rate of reaction increase?
  1. A.The activation energy of the reaction decreases, making it easier for reactant particles to react.
  2. B.The reactant particles move faster and collide more frequently, and a larger proportion of these collisions have energy greater than or equal to the activation energy.
  3. C.The reactant particles are packed closer together, leading to an increased frequency of collisions.
  4. D.The reaction becomes highly exothermic, which accelerates the decomposition of the reactants.
Show answer & marking scheme

Worked solution

Increasing the temperature increases the kinetic energy of the particles. This results in more frequent collisions because the particles move faster, but more importantly, a much larger proportion of the colliding particles possess energy equal to or greater than the activation energy, leading to a higher rate of successful collisions.

Marking scheme

1 mark for selecting B.
Question 14 · MCQ
1 marks
Silicon dioxide (\(SiO_{2}\)) is a giant covalent macromolecule, whereas sodium chloride (\(NaCl\)) is a giant ionic lattice. Which statement correctly compares their physical properties?
  1. A.Silicon dioxide conducts electricity when molten, whereas sodium chloride does not.
  2. B.Both substances have low melting points due to weak forces acting between their structures.
  3. C.Silicon dioxide does not conduct electricity when molten because it has no free ions or delocalized electrons, whereas sodium chloride conducts when molten because its ions are free to move.
  4. D.Silicon dioxide dissolves readily in water to form an acidic solution, whereas sodium chloride does not dissolve.
Show answer & marking scheme

Worked solution

Silicon dioxide is a giant covalent structure where all atoms are held together by strong covalent bonds. It has no free-moving charged particles (ions or delocalized electrons) in either solid or liquid states, so it cannot conduct electricity. Sodium chloride is a giant ionic lattice; in the solid state, its ions are fixed, but when molten, the electrostatic forces are overcome, and the ions are free to move and conduct electricity.

Marking scheme

1 mark for selecting C.
Question 15 · MCQ
1 marks
An element X has two naturally occurring isotopes: \(^{63}\text{X}\) (relative abundance of 69.2%) and \(^{65}\text{X}\) (relative abundance of 30.8%). What is the relative atomic mass of element X to 1 decimal place?
  1. A.63.0
  2. B.63.6
  3. C.64.0
  4. D.64.4
Show answer & marking scheme

Worked solution

Relative atomic mass \(A_r = \frac{(63 \times 69.2) + (65 \times 30.8)}{100} = \frac{4359.6 + 2002.0}{100} = \frac{6361.6}{100} = 63.616\). Rounded to 1 decimal place, this is 63.6.

Marking scheme

1 mark for selecting B.
Question 16 · SAQ
3 marks
A closed system contains the reversible reaction: \( 2\text{SO}_2(g) + \text{O}_2(g) \rightleftharpoons 2\text{SO}_3(g) \). The forward reaction is exothermic. Predict and explain the effect of increasing the temperature on the yield of sulfur trioxide (\( \text{SO}_3 \)) at equilibrium.
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Worked solution

Le Chatelier's principle states that increasing temperature shifts the position of equilibrium in the endothermic direction to absorb the added thermal energy. Since the forward reaction is exothermic, the reverse reaction is endothermic. Therefore, increasing the temperature will cause the equilibrium to shift to the left, which decreases the yield of the product \( \text{SO}_3 \).

Marking scheme

1 mark: State that the yield of \( \text{SO}_3 \) decreases (or equilibrium shifts to the left). 1 mark: Identify that the forward reaction is exothermic or the reverse reaction is endothermic. 1 mark: Explain that increasing the temperature shifts the equilibrium in the endothermic direction to absorb heat.
Question 17 · SAQ
3 marks
During the electrolysis of concentrated aqueous sodium chloride, hydrogen gas is produced at the negative electrode (cathode). Write the ionic half-equation for the formation of hydrogen gas, and explain why hydrogen is produced instead of sodium.
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Worked solution

In aqueous solution, both hydrogen ions (\( \text{H}^+ \)) and sodium ions (\( \text{Na}^+ \)) migrate to the negative electrode (cathode). Since sodium is more reactive than hydrogen, sodium ions are more stable and remain in solution, while hydrogen ions are preferentially reduced (discharged) by gaining electrons to form diatomic hydrogen gas molecules: \( 2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2 \).

Marking scheme

1 mark: State the correct half-equation: \( 2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2 \) (allow state symbols to be omitted). 1 mark: Explain that both hydrogen ions and sodium ions are attracted to the negative electrode. 1 mark: Explain that hydrogen is discharged because sodium is more reactive than hydrogen (or hydrogen ions are more easily reduced/discharged).
Question 18 · SAQ
3 marks
In an experiment measuring the volume of carbon dioxide produced when calcium carbonate reacts with hydrochloric acid, a student draws a tangent to the curve at time \( t = 30\text{ s} \). The tangent line passes through the points \( (0\text{ s}, 12\text{ cm}^3) \) and \( (50\text{ s}, 48\text{ cm}^3) \). Calculate the rate of reaction at \( 30\text{ s} \). Show your working and include the unit.
Show answer & marking scheme

Worked solution

The rate of reaction is equal to the gradient of the tangent line drawn at that specific time. The gradient is calculated using the formula: \( \text{Gradient} = \frac{\text{change in } y}{\text{change in } x} \). Using the coordinates provided: \( \text{Gradient} = \frac{48 - 12}{50 - 0} = \frac{36}{50} = 0.72 \). Since the vertical axis measures volume in cubic centimeters and the horizontal axis measures time in seconds, the unit is cubic centimeters per second (\( \text{cm}^3/\text{s} \)).

Marking scheme

1 mark: Show substitution into the gradient formula: \( \frac{48 - 12}{50 - 0} \) or equivalent working. 1 mark: Correct calculation of the value: 0.72. 1 mark: State the correct unit: \( \text{cm}^3/\text{s} \) or \( \text{cm}^3\text{ s}^{-1} \).
Question 19 · SAQ
3 marks
A student reacts \( 4.80\text{ g} \) of magnesium ribbon with \( 100\text{ cm}^3 \) of \( 1.50\text{ mol/dm}^3 \) hydrochloric acid. The equation for the reaction is: \( \text{Mg}(s) + 2\text{HCl}(aq) \rightarrow \text{MgCl}_2(aq) + \text{H}_2(g) \). Determine which reactant is the limiting reactant. Show your working. (\( A_r \) of \( \text{Mg} = 24.3 \))
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Worked solution

1. Calculate the number of moles of magnesium: \( \text{moles of Mg} = \frac{\text{mass}}{\text{A}_r} = \frac{4.80}{24.3} \approx 0.198\text{ mol} \). 2. Calculate the number of moles of hydrochloric acid: \( \text{moles of HCl} = \text{concentration} \times \text{volume in dm}^3 = 1.50 \times 0.100 = 0.150\text{ mol} \). 3. Look at the stoichiometry of the reaction: \( 1 \text{ mole of Mg} \) reacts with \( 2 \text{ moles of HCl} \). Therefore, \( 0.198\text{ mol} \) of Mg requires \( 2 \times 0.198 = 0.396\text{ mol} \) of HCl. Since only \( 0.150\text{ mol} \) of HCl is present, HCl is in short supply and is the limiting reactant.

Marking scheme

1 mark: Calculate the moles of magnesium as 0.198 mol (accept 0.20 mol). 1 mark: Calculate the moles of HCl as 0.150 mol. 1 mark: Show comparison using the 1:2 reaction ratio to correctly conclude that HCl is the limiting reactant.
Question 20 · SAQ
3 marks
Explain how a polyester is formed from its monomer units. Your answer should identify the functional groups on the monomers and explain what happens to make the polymer chain.
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Worked solution

Polyesters are formed via condensation polymerization. The reaction requires two types of monomers: a dicarboxylic acid, which has two carboxylic acid functional groups (\( -\text{COOH} \)), and a diol, which has two alcohol functional groups (\( -\text{OH} \)). The carboxylic acid group of one monomer reacts with the alcohol group of another, forming an ester link (\( -\text{COO}- \)) that binds the monomers together into a long chain. Each time an ester link is formed, a small molecule of water (\( \text{H}_2\text{O} \)) is eliminated.

Marking scheme

1 mark: Identify the monomers as dicarboxylic acids (containing two \( -\text{COOH} \) groups) and diols (containing two \( -\text{OH} \) groups). 1 mark: Explain that these groups react together to form ester links that connect the monomers into a chain. 1 mark: State that a small molecule of water (\( \text{H}_2\text{O} \)) is released/eliminated for each ester link formed.
Question 21 · SAQ
3 marks
In the industrial manufacture of ammonia via the Haber process, a compromise temperature of \( 450^\circ\text{C} \) is used, even though the forward reaction is exothermic. Explain why this specific temperature is chosen in terms of rate of reaction and equilibrium yield.
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Worked solution

Because the forward reaction is exothermic, a lower temperature shifts the equilibrium to the right, increasing the yield of ammonia. However, at low temperatures, the reactant particles have less kinetic energy, leading to fewer successful collisions per second and a rate of reaction that is too slow to be economically viable. A high temperature increases the rate but severely lowers the yield of ammonia. Therefore, a compromise temperature of \( 450^\circ\text{C} \) is chosen to achieve a fast enough rate of reaction while still obtaining an acceptable yield of ammonia.

Marking scheme

1 mark: Explain that a lower temperature would increase the equilibrium yield of ammonia because the forward reaction is exothermic. 1 mark: Explain that a higher temperature is needed to increase the rate of reaction (particles have more energy and collide more frequently). 1 mark: State that \( 450^\circ\text{C} \) is a compromise to obtain a reasonable yield at an acceptable rate.
Question 22 · SAQ
3 marks
Silicon dioxide (\( \text{SiO}_2 \)) has a giant covalent structure and a very high melting point of \( 1713^\circ\text{C} \). Carbon dioxide (\( \text{CO}_2 \)) is a simple molecular substance with a very low sublimation point of \( -78^\circ\text{C} \). Explain this difference in physical properties in terms of their bonding and structures.
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Worked solution

Silicon dioxide forms a giant macromolecular covalent lattice. To melt it, many strong covalent bonds between silicon and oxygen atoms must be broken, which requires a massive amount of thermal energy. Carbon dioxide exists as simple covalent molecules. The strong covalent bonds within the molecule are not broken during sublimation; instead, only the weak intermolecular forces between individual \( \text{CO}_2 \) molecules must be overcome, which requires very little energy.

Marking scheme

1 mark: State that silicon dioxide has a giant covalent lattice with many strong covalent bonds that must be broken. 1 mark: State that carbon dioxide has a simple molecular structure with weak intermolecular forces between the molecules. 1 mark: Link the structural differences to the energy needed to melt/sublime them (strong covalent bonds require a lot of energy to break, whereas weak intermolecular forces require minimal energy).
Question 23 · SAQ
3 marks
Calculate the percentage atom economy for the production of hydrogen gas in the reaction of methane with steam: \( \text{CH}_4(g) + \text{H}_2\text{O}(g) \rightarrow \text{CO}(g) + 3\text{H}_2(g) \). Use the relative formula masses: \( \text{CH}_4 = 16.0 \), \( \text{H}_2\text{O} = 18.0 \), \( \text{CO} = 28.0 \), \( \text{H}_2 = 2.0 \). Show your working. Give your answer to 3 significant figures.
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Worked solution

The percentage atom economy is calculated using the formula: \( \text{Atom Economy} = \frac{\text{Total } M_r \text{ of desired product(s)}}{\text{Total } M_r \text{ of all reactants}} \times 100 \). 1. Calculate the total relative mass of the reactants: \( \text{Total reactant mass} = M_r(\text{CH}_4) + M_r(\text{H}_2\text{O}) = 16.0 + 18.0 = 34.0 \). 2. Calculate the mass of the desired product (hydrogen): \( 3 \times M_r(\text{H}_2) = 3 \times 2.0 = 6.0 \). 3. Calculate percentage atom economy: \( \frac{6.0}{34.0} \times 100 = 17.647...\% \). Rounding to 3 significant figures gives 17.6%.

Marking scheme

1 mark: Calculate the total relative mass of reactants as 34.0 (or identify the total mass of products as 34.0). 1 mark: Calculate the relative mass of the desired product (3 moles of \( \text{H}_2 \)) as 6.0. 1 mark: Calculate the final percentage atom economy to 3 significant figures: 17.6% (accept 17.65%).
Question 24 · SAQ
3 marks
An aqueous solution of sodium chloride is electrolysed using inert electrodes. Explain why hydrogen gas, rather than sodium metal, is produced at the negative electrode (cathode), and write the balanced half-equation for the formation of hydrogen gas.
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Worked solution

In an aqueous solution of sodium chloride, both sodium ions (\(\text{Na}^+\)) and hydrogen ions (\(\text{H}^+\)) are present. Since hydrogen is lower in the reactivity series than sodium, hydrogen ions are more easily reduced. Therefore, hydrogen ions gain electrons to form hydrogen gas, whilst sodium ions remain in solution. The balanced half-equation at the cathode is: \(2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2\) (or \(2\text{H}_2\text{O} + 2\text{e}^- \rightarrow \text{H}_2 + 2\text{OH}^-\)).

Marking scheme

Mark 1: Identifies that both hydrogen ions and sodium ions are present, and hydrogen is less reactive than sodium (or sodium is more reactive).
Mark 2: States that hydrogen ions are preferentially discharged/reduced (gain electrons).
Mark 3: Correct, balanced half-equation: \(2\text{H}^+ + 2\text{e}^- \rightarrow \text{H}_2\) (accept state symbols, ignore charge on electron if written as \(\text{e}\)).
Question 25 · SAQ
3 marks
Ethanol can be manufactured by the hydration of ethene. Give one advantage and one disadvantage of using this process compared to the fermentation of glucose, and state one key condition required for this hydration reaction.
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Worked solution

Hydration of ethene is a continuous process that is very fast and yields highly pure ethanol without the need for fractional distillation. However, it relies on ethene which is obtained from non-renewable crude oil and requires a high energy input. The reaction requires a temperature of approximately 300 \(^{\circ}\text{C}\), a pressure of 60-70 atm, and a concentrated phosphoric acid catalyst.

Marking scheme

Mark 1 (Advantage): Any one from: Fast rate of reaction / continuous process / high purity ethanol (no distillation needed).
Mark 2 (Disadvantage): Any one from: Uses non-renewable resources (crude oil) / high temperature and pressure requirement makes it expensive/high energy demand.
Mark 3 (Condition): Any one from: High temperature (accept 250 to 350 \(^{\circ}\text{C}\)) / high pressure (accept 60 to 70 atm) / phosphoric acid (\(\text{H}_3\text{PO}_4\)) catalyst.
Question 26 · SAQ
3 marks
The Haber process is used to manufacture ammonia in a reversible reaction:
\(\text{N}_2\text{(g)} + 3\text{H}_2\text{(g)} \rightleftharpoons 2\text{NH}_3\text{(g)}\) (forward reaction is exothermic).
Explain the effect of increasing the pressure on the yield of ammonia, and explain why a compromise temperature of 450 \(^{\circ}\text{C}\) is used instead of a very low temperature.
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Worked solution

According to Le Chatelier's principle, increasing the pressure shifts the position of equilibrium to the side with fewer moles of gas. There are 4 moles of gas on the reactant side and only 2 moles on the product side, so the yield of ammonia increases.
For temperature, since the forward reaction is exothermic, lowering the temperature would shift the equilibrium to the right, increasing the yield. However, at low temperatures, the reactant particles have less kinetic energy, resulting in a rate of reaction that is too slow for commercial viability. Therefore, 450 \(^{\circ}\text{C}\) is a compromise temperature that balances a reasonable yield with a sufficiently fast rate of reaction.

Marking scheme

Mark 1 (Pressure): States that increasing pressure shifts equilibrium to the right (increasing yield of ammonia) because there are fewer moles/molecules of gas on the product side (2 vs 4).
Mark 2 (Temperature - Yield): States that a lower temperature would favour the exothermic forward reaction, giving a higher equilibrium yield.
Mark 3 (Temperature - Rate): States that a very low temperature decreases the rate of reaction too much (fewer successful collisions), so 450 \(^{\circ}\text{C}\) is a compromise to achieve a fast rate.
Question 27 · SAQ
3 marks
Titanium is extracted from titanium(IV) chloride by reacting it with sodium at high temperatures under an inert atmosphere:
\(\text{TiCl}_4 + 4\text{Na} \rightarrow \text{Ti} + 4\text{NaCl}\)
Calculate the percentage atom economy of this reaction to produce titanium.
Give your answer to 3 significant figures.
Relative atomic masses (\(A_r\)): \(\text{Na} = 23.0\), \(\text{Cl} = 35.5\), \(\text{Ti} = 47.9\).
Show answer & marking scheme

Worked solution

First, calculate the total formula mass of all the reactants (or all products):
\(M_r(\text{TiCl}_4) = 47.9 + (4 \times 35.5) = 189.9\)
Mass of \(4\text{Na} = 4 \times 23.0 = 92.0\)
Total mass of reactants = \(189.9 + 92.0 = 281.9\)
(Alternatively, using products: \(M_r(\text{Ti}) + 4 \times M_r(\text{NaCl}) = 47.9 + 4 \times (23.0 + 35.5) = 47.9 + 234.0 = 281.9\))

The mass of the desired product (Titanium) is 47.9.

Now, calculate the percentage atom economy:
\(\text{Atom economy} = \frac{\text{Mass of desired product}}{\text{Total mass of all reactants}} \times 100\)
\(\text{Atom economy} = \frac{47.9}{281.9} \times 100 \approx 16.9918\%\)
To 3 significant figures, this is \(17.0\%\).

Marking scheme

Mark 1: Correctly calculates total formula mass of reactants (or products) as 281.9 (or shows the correct working: \(189.9 + 92.0\)).
Mark 2: Correctly sets up the fraction for atom economy: \(\frac{47.9}{281.9} \times 100\).
Mark 3: Final answer of 17.0% (accept 17% or 16.99%).
Question 28 · Calculations
4 marks
Titanium is extracted from titanium(IV) chloride by reacting it with sodium:

\(\text{TiCl}_4 + 4\text{Na} \rightarrow \text{Ti} + 4\text{NaCl}\)

A student reacts \(9.50\text{ g}\) of \(\text{TiCl}_4\) with excess sodium and obtains \(1.80\text{ g}\) of titanium metal.

Calculate the percentage yield of titanium.
Give your answer to 3 significant figures.
\(A_r\text{ values: Ti} = 48.0, \text{Cl} = 35.5, \text{Na} = 23.0\)
Show answer & marking scheme

Worked solution

1. Calculate the relative formula mass of \(\text{TiCl}_4\):
\(M_r(\text{TiCl}_4) = 48.0 + (4 \times 35.5) = 190.0\)

2. Calculate the theoretical yield of titanium:
\(\text{Moles of TiCl}_4 = \frac{9.50}{190.0} = 0.0500\text{ mol}\)
From the equation, 1 mole of \(\text{TiCl}_4\) produces 1 mole of \(\text{Ti}\).
\(\text{Theoretical mass of Ti} = 0.0500\text{ mol} \times 48.0\text{ g/mol} = 2.40\text{ g}\)

3. Calculate the percentage yield:
\(\text{Percentage yield} = \frac{\text{Actual yield}}{\text{Theoretical yield}} \times 100\)
\(\text{Percentage yield} = \frac{1.80}{2.40} \times 100 = 75.0\%\)

Marking scheme

M1: Correct calculation of \(M_r\) of \(\text{TiCl}_4 = 190\) (1)
M2: Correct determination of moles of \(\text{TiCl}_4\) or \(\text{Ti} = 0.0500\text{ mol}\) (or theoretical mass of titanium = \(2.40\text{ g}\)) (1)
M3: Correct percentage yield calculation method: \(\frac{1.80}{\text{their theoretical mass}} \times 100\) (1)
M4: Correct evaluation to 3 significant figures: \(75.0\%\) (1)
[Accept alternative pathways using ratios. Allow error carried forward (ECF) from M1 or M2.]
Question 29 · Calculations
4 marks
A student titrates \(25.0\text{ cm}^3\) of a sodium hydroxide solution, \(\text{NaOH}\), of unknown concentration against \(0.120\text{ mol/dm}^3\) sulfuric acid, \(\text{H}_2\text{SO}_4\).

\(2\text{NaOH(aq)} + \text{H}_2\text{SO}_4\text{(aq)} \rightarrow \text{Na}_2\text{SO}_4\text{(aq)} + 2\text{H}_2\text{O(l)}\)

The average titre of sulfuric acid required for neutralization is \(18.50\text{ cm}^3\).

Calculate the concentration of the sodium hydroxide solution in \(\text{g/dm}^3\).
Give your answer to 3 significant figures.
\(M_r\text{ of NaOH} = 40.0\)
Show answer & marking scheme

Worked solution

1. Calculate moles of sulfuric acid reacted:
\(\text{Moles} = \text{concentration} \times \text{volume}\)
\(\text{Moles of H}_2\text{SO}_4 = 0.120\text{ mol/dm}^3 \times \frac{18.50}{1000}\text{ dm}^3 = 0.00222\text{ mol}\)

2. Determine moles of NaOH using the stoichiometric ratio (2:1):
\(\text{Moles of NaOH} = 2 \times 0.00222 = 0.00444\text{ mol}\)

3. Calculate concentration of NaOH in \(\text{mol/dm}^3\):
\(\text{Concentration} = \frac{\text{moles}}{\text{volume in dm}^3} = \frac{0.00444}{0.0250} = 0.1776\text{ mol/dm}^3\)

4. Convert concentration to \(\text{g/dm}^3\):
\(\text{Concentration in g/dm}^3 = 0.1776\text{ mol/dm}^3 \times 40.0\text{ g/mol} = 7.104 \approx 7.10\text{ g/dm}^3\)

Marking scheme

M1: Correct calculation of moles of \(\text{H}_2\text{SO}_4 = 0.00222\text{ mol}\) (1)
M2: Correct moles of \(\text{NaOH} = 0.00444\text{ mol}\) (ECF 2 x M1) (1)
M3: Correct calculation of concentration of \(\text{NaOH}\) in \(\text{mol/dm}^3 = 0.1776\text{ mol/dm}^3\) (1)
M4: Correct conversion to \(\text{g/dm}^3\) to 3 sig figures: \(7.10\text{ g/dm}^3\) (1)
[Accept alternative titration formula methods if clearly laid out. Allow ECF throughout.]
Question 30 · Calculations
4 marks
Use the bond energies provided in the table to calculate the overall energy change for the following combustion reaction:

\(\text{CH}_4\text{(g)} + 2\text{O}_2\text{(g)} \rightarrow \text{CO}_2\text{(g)} + 2\text{H}_2\text{O(g)}\)

\[\begin{array}{|c|c|} \hline \text{Bond} & \text{Bond Energy (kJ/mol)} \\ \hline \text{C}-\text{H} & 413 \\ \hline \text{O}=\text{O} & 498 \\ \hline \text{C}=\text{O} & 805 \\ \hline \text{O}-\text{H} & 463 \\ \hline \end{array}\]
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Worked solution

1. Calculate energy required to break bonds (reactants):
Four \(\text{C}-\text{H}\) bonds and two \(\text{O}=\text{O}\) bonds are broken.
\(\text{Energy in} = (4 \times 413) + (2 \times 498) = 1652 + 996 = 2648\text{ kJ/mol}\)

2. Calculate energy released when making bonds (products):
Two \(\text{C}=\text{O}\) bonds and four \(\text{O}-\text{H}\) bonds are formed.
\(\text{Energy out} = (2 \times 805) + (4 \times 463) = 1610 + 1852 = 3462\text{ kJ/mol}\)

3. Calculate the overall energy change:
\(\text{Energy change} = \text{Energy in} - \text{Energy out}\)
\(\text{Energy change} = 2648 - 3462 = -814\text{ kJ/mol}\)

Marking scheme

M1: Correct calculation of total bond-breaking energy = \(2648\text{ kJ/mol}\) (1)
M2: Correct calculation of total bond-making energy = \(3462\text{ kJ/mol}\) (1)
M3: Subtraction of bond-making energy from bond-breaking energy (1)
M4: Final answer of \(-814\text{ kJ/mol}\) (including negative sign) (1)
[Allow ECF if correct subtraction logic applied to incorrect intermediate values.]
Question 31 · Calculations
4 marks
When calcium carbonate is heated, it decomposes to form calcium oxide and carbon dioxide gas:

\(\text{CaCO}_3\text{(s)} \rightarrow \text{CaO(s)} + \text{CO}_2\text{(g)}\)

Calculate the volume of carbon dioxide gas, in \(\text{cm}^3\), produced when \(4.00\text{ g}\) of calcium carbonate decomposes completely.

Assume 1 mole of gas occupies \(24.0\text{ dm}^3\) at room temperature and pressure (rtp).
\(M_r\text{ of CaCO}_3 = 100\)
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Worked solution

1. Calculate the number of moles of calcium carbonate:
\(\text{Moles of CaCO}_3 = \frac{\text{mass}}{M_r} = \frac{4.00}{100} = 0.0400\text{ mol}\)

2. Determine the moles of carbon dioxide produced:
From the balanced equation, the ratio of \(\text{CaCO}_3 : \text{CO}_2\) is 1:1.
Therefore, \(0.0400\text{ mol}\) of \(\text{CO}_2\) is produced.

3. Calculate the volume of \(\text{CO}_2\) in \(\text{dm}^3\):
\(\text{Volume in dm}^3 = 0.0400\text{ mol} \times 24.0\text{ dm}^3\text{/mol} = 0.960\text{ dm}^3\)

4. Convert the volume to \(\text{cm}^3\):
\(\text{Volume in cm}^3 = 0.960 \times 1000 = 960\text{ cm}^3\)

Marking scheme

M1: Moles of \(\text{CaCO}_3 = 0.0400\text{ mol}\) (1)
M2: Correct molar ratio (1:1) leading to \(0.0400\text{ mol}\) of \(\text{CO}_2\) (1)
M3: Volume in \(\text{dm}^3 = 0.960\text{ dm}^3\) (1)
M4: Correct conversion to \(\text{cm}^3 = 960\text{ cm}^3\) (1)
[Allow ECF throughout. Award 4 marks for correct final answer of 960 with or without units.]
Question 32 · Calculations
4 marks
A sample of an iron oxide is analyzed. A \(5.80\text{ g}\) sample is found to contain \(4.20\text{ g}\) of iron.

Calculate the empirical formula of this iron oxide.

\(A_r\text{ values: Fe} = 56.0, \text{O} = 16.0\)
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Worked solution

1. Find the mass of oxygen in the sample:
\(\text{Mass of O} = 5.80\text{ g} - 4.20\text{ g} = 1.60\text{ g}\)

2. Calculate the moles of each element:
\(\text{Moles of Fe} = \frac{4.20}{56.0} = 0.0750\text{ mol}\)
\(\text{Moles of O} = \frac{1.60}{16.0} = 0.100\text{ mol}\)

3. Determine the simplest whole-number ratio of \(\text{Fe} : \text{O}\):
Divide both by the smaller value (0.0750):
\(\text{Fe} = \frac{0.0750}{0.0750} = 1.00\)
\(\text{O} = \frac{0.100}{0.0750} = 1.33\)

Multiply by 3 to achieve whole numbers:
\(\text{Fe} = 1.00 \times 3 = 3\)
\(\text{O} = 1.33 \times 3 = 4\)

Therefore, the empirical formula is \(\text{Fe}_3\text{O}_4\).

Marking scheme

M1: Mass of oxygen = \(1.60\text{ g}\) (1)
M2: Correct moles of both elements: \(\text{Fe} = 0.075\text{ mol}\) AND \(\text{O} = 0.100\text{ mol}\) (1)
M3: Correct ratio calculation (e.g. 1 : 1.33 or 3 : 4) (1)
M4: Final empirical formula \(\text{Fe}_3\text{O}_4\) (1)
[Allow ECF if subtraction or division error occurs but logic remains correct. Accept other clear layouts.]
Question 33 · Extended LOR
6 marks
Ammonia is manufactured by the Haber process using the reversible reaction:

\(\text{N}_2\text{(g)} + 3\text{H}_2\text{(g)} \rightleftharpoons 2\text{NH}_3\text{(g)} \quad \Delta H = -92 \text{ kJ/mol}\)

The process is typically carried out at a temperature of about \(450\ ^\circ\text{C}\), a pressure of \(200\text{ atm}\), and in the presence of an iron catalyst.

Explain, using ideas about reaction rate, equilibrium yield, and industrial costs, why these specific conditions are chosen as a compromise for the economic production of ammonia.
Show answer & marking scheme

Worked solution

To explain the compromise conditions of the Haber process, we must look at three main factors: Temperature, Pressure, and the Catalyst.

1. **Temperature (\(450\ ^\circ\text{C}\))**:
* **Equilibrium (Yield)**: The forward reaction is exothermic (\(\Delta H = -92 \text{ kJ/mol}\)). According to Le Chatelier's principle, lowering the temperature shifts the equilibrium position to the right (the exothermic direction) to release heat, thereby increasing the yield of ammonia. Therefore, a low temperature is preferred for high yield.
* **Rate of Reaction**: At low temperatures, the reactant particles have less kinetic energy, meaning they collide less frequently and with less energy, resulting in fewer successful collisions per second. The rate of reaction would be too slow to be commercially viable.
* **Compromise**: A temperature of \(450\ ^\circ\text{C}\) is a compromise. It is high enough to ensure a fast, economically viable rate of reaction, but low enough to still produce a reasonable yield of ammonia (about 15% per pass, with unreacted gases recycled).

2. **Pressure (\(200\text{ atm}\))**:
* **Equilibrium (Yield)**: There are 4 moles of gaseous reactants on the left (\(1\text{ N}_2 + 3\text{H}_2\)) and 2 moles of gaseous product on the right (\(2\text{NH}_3\)). According to Le Chatelier's principle, increasing the pressure shifts the equilibrium to the side with fewer gas moles (the right) to reduce pressure, increasing the yield of ammonia.
* **Rate of Reaction**: Higher pressure increases the concentration of gas particles, resulting in more frequent collisions and a faster rate of reaction.
* **Costs and Safety**: Operating at extremely high pressures requires highly reinforced, expensive equipment and high electricity/energy costs to compress the gases. It also poses significant safety risks of explosion.
* **Compromise**: \(200\text{ atm}\) is a compromise pressure that provides a high rate and high yield without the prohibitive construction, maintenance, and safety costs of running at even higher pressures.

3. **Iron Catalyst**:
* **Effect**: The iron catalyst speeds up both the forward and reverse reactions equally by providing an alternative reaction pathway with a lower activation energy.
* **Significance**: It does not affect the yield of ammonia, but it allows the reaction to reach dynamic equilibrium much faster. This enables the use of the lower compromise temperature (\(450\ ^\circ\text{C}\)) while still maintaining an acceptable rate, saving significant energy costs.

Marking scheme

**Level 3 (5–6 marks)**
- Explains the effect of BOTH temperature and pressure on BOTH rate and equilibrium yield.
- Relates these factors clearly to Le Chatelier's principle and collision theory.
- Discusses industrial compromises including energy costs, equipment costs, and safety.
- Explains the role of the iron catalyst in lowering operating costs/temperatures.

**Level 2 (3–4 marks)**
- Explains the effect of temperature and/or pressure on both rate and yield, but may lack detail or fail to connect one of the variables fully.
- Mentions the compromise nature of the conditions but does not fully integrate cost/safety considerations.
- Mentions the catalyst increases rate.

**Level 1 (1–2 marks)**
- Identifies basic trends (e.g., higher temperature increases rate, higher pressure increases yield).
- Demonstrates isolated knowledge of the Haber process conditions without deep explanation of the compromises or principles involved.

**0 marks**
- No response or no relevant chemistry content.

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