An original Thinka practice paper modelled on the structure and difficulty of the Nov 2025 Cambridge International A Level Chemistry paper. Not affiliated with or reproduced from Cambridge.
Paper 1C (Core Theory)
Answer all questions. Show all steps in your calculations and state the units where appropriate. Calculators and rulers are allowed.
34 Question · 95 marks
Question 1 · multiple-choice
1 marks
A student investigates the temperature change when anhydrous copper(II) sulfate dissolves in water. In an experiment, \(5.0\text{ g}\) of anhydrous copper(II) sulfate is added to \(50.0\text{ g}\) of water. The temperature increases by \(6.5\text{ }^{\circ}\text{C}\). Calculate the heat energy change (\(Q\)) in joules for this reaction. (Assume the specific heat capacity of the solution is \(4.2\text{ J/g/}^{\circ}\text{C}\) and the mass of the solution is \(55.0\text{ g}\)).
A.\(1365\text{ J}\)
B.\(1501.5\text{ J}\)
C.\(150.15\text{ J}\)
D.\(136.5\text{ J}\)
Show answer & marking schemeHide answer & marking scheme
Worked solution
The heat energy change is calculated using the formula \(Q = m \times c \times \Delta T\). Here, the mass of the solution \(m = 55.0\text{ g}\), the specific heat capacity \(c = 4.2\text{ J/g/}^{\circ}\text{C}\), and the temperature change \(\Delta T = 6.5\text{ }^{\circ}\text{C}\). Substituting these values into the formula: \(Q = 55.0 \times 4.2 \times 6.5 = 1501.5\text{ J}\).
Marking scheme
1 mark for the correct calculation leading to 1501.5 J.
Question 2 · multiple-choice
1 marks
What is the maximum mass of iron, in grams, that can be obtained from \(80\text{ g}\) of iron(III) oxide (\(\text{Fe}_2\text{O}_3\))? (\(M_r\) of \(\text{Fe}_2\text{O}_3 = 160\); \(A_r\) of \(\text{Fe} = 56\))
A.\(28\text{ g}\)
B.\(56\text{ g}\)
C.\(112\text{ g}\)
D.\(160\text{ g}\)
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, find the amount in moles of \(\text{Fe}_2\text{O}_3\): \(\text{moles} = \frac{80\text{ g}}{160\text{ g/mol}} = 0.5\text{ mol}\). Each mole of \(\text{Fe}_2\text{O}_3\) contains 2 moles of Fe atoms. Therefore, the moles of Fe produced is \(0.5 \times 2 = 1.0\text{ mol}\). Finally, find the mass of Fe: \(\text{mass} = 1.0\text{ mol} \times 56\text{ g/mol} = 56\text{ g}\).
Marking scheme
1 mark for the correct calculation leading to 56 g.
Question 3 · multiple-choice
1 marks
Which of these statements about the fractions obtained from the fractional distillation of crude oil is correct?
A.Fuel oil has a lower boiling point than gasoline.
B.Bitumen is more viscous than kerosene.
C.Refinery gases have larger molecules than diesel.
D.Gasoline is darker in color than fuel oil.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Bitumen is at the bottom of the fractionating column, consisting of very large hydrocarbons, making it highly viscous (thick and sticky). Kerosene is higher up the column and is much runnier (less viscous).
Marking scheme
1 mark for selecting B.
Question 4 · multiple-choice
1 marks
A student sets up an experiment with a glass tube. At one end, a piece of cotton wool soaked in concentrated ammonia solution (\(\text{NH}_3\), \(M_r = 17\)) is placed. At the other end, a piece of cotton wool soaked in concentrated hydrochloric acid (\(\text{HCl}\), \(M_r = 36.5\)) is placed. A white ring of ammonium chloride forms closer to the hydrochloric acid end of the tube. Which statement correctly explains this observation?
A.Ammonia molecules have a higher relative molecular mass and diffuse more slowly.
B.Hydrogen chloride molecules have a lower relative molecular mass and diffuse more quickly.
C.Ammonia molecules have a lower relative molecular mass and diffuse more quickly.
D.Hydrogen chloride molecules have a higher relative molecular mass and diffuse more quickly.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Ammonia (\(M_r = 17\)) has a lower relative molecular mass than hydrogen chloride (\(M_r = 36.5\)). Lighter gas molecules diffuse faster. Therefore, ammonia molecules diffuse more quickly along the tube, traveling a greater distance before meeting the slower-diffusing hydrogen chloride molecules, which is why the white ring forms closer to the hydrochloric acid end.
Marking scheme
1 mark for selecting C.
Question 5 · multiple-choice
1 marks
Which change will increase the rate of reaction between marble chips and dilute hydrochloric acid by increasing the number of reacting particles per unit volume?
A.Increasing the concentration of the acid
B.Increasing the size of the marble chips
C.Decreasing the temperature of the acid
D.Adding water to the acid
Show answer & marking schemeHide answer & marking scheme
Worked solution
Increasing the concentration of the acid increases the number of acid particles (H\(^{+}\) ions) in a given volume. This increases the collision frequency between the reacting particles, which increases the rate of reaction.
Marking scheme
1 mark for selecting A.
Question 6 · multiple-choice
1 marks
Metal X reacts with cold water to produce a metal hydroxide and hydrogen gas. Metal Y does not react with cold water or dilute hydrochloric acid, but its oxide can be reduced by heating with carbon. Metal Z does not react with water, but reacts slowly with dilute hydrochloric acid. What is the correct order of reactivity of these metals, from most reactive to least reactive?
A.X, Z, Y
B.Y, Z, X
C.X, Y, Z
D.Z, X, Y
Show answer & marking schemeHide answer & marking scheme
Worked solution
Metal X is the most reactive because it reacts with cold water. Metal Z is moderately reactive because it does not react with water but reacts slowly with acid. Metal Y is the least reactive because it does not react with acid but can be reduced by carbon. Thus, the correct order from most to least reactive is X, Z, Y.
Marking scheme
1 mark for selecting A.
Question 7 · multiple-choice
1 marks
Which row in the table correctly describes the properties of magnesium oxide, \(\text{MgO}\)?
A.Melting point: High; Electrical conductivity as a solid: Conducts; Electrical conductivity when molten: Conducts
B.Melting point: High; Electrical conductivity as a solid: Does not conduct; Electrical conductivity when molten: Conducts
C.Melting point: Low; Electrical conductivity as a solid: Does not conduct; Electrical conductivity when molten: Does not conduct
D.Melting point: Low; Electrical conductivity as a solid: Conducts; Electrical conductivity when molten: Does not conduct
Show answer & marking schemeHide answer & marking scheme
Worked solution
Magnesium oxide is an ionic compound. It has a high melting point due to the strong electrostatic attraction between oppositely charged ions in its giant lattice. It does not conduct electricity as a solid because its ions are fixed, but it conducts when molten because the ions are free to move and carry charge.
Marking scheme
1 mark for selecting B.
Question 8 · multiple-choice
1 marks
Chlorine gas is bubbled through an aqueous solution of potassium iodide, \(\text{KI}\). Which statement describes the observations and the type of reaction that occurs?
A.The solution turns from colourless to brown because chlorine displaces iodine; this is a redox reaction.
B.A purple precipitate forms because chlorine reacts with potassium; this is a neutralization reaction.
C.The solution turns from brown to colourless because iodine displaces chlorine; this is a precipitation reaction.
D.The solution remains colourless because chlorine is less reactive than iodine; no reaction occurs.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Chlorine is more reactive than iodine and displaces it from potassium iodide solution. The colorless solution of potassium iodide turns brown due to the formation of aqueous iodine (\(\text{I}_2\)). Since chlorine is reduced and iodide is oxidized, this displacement reaction is a redox reaction.
Marking scheme
1 mark for selecting A.
Question 9 · Short recall and identification
2 marks
State two factors that affect the rate at which gas particles diffuse.
Show answer & marking schemeHide answer & marking scheme
Worked solution
The rate of diffusion is determined by: 1. Temperature: higher temperature increases the kinetic energy of particles, causing them to move and diffuse faster. 2. Relative molecular mass (or particle mass): lighter gas particles travel and diffuse faster than heavier gas particles at the same temperature.
Marking scheme
M1: Temperature (1) M2: Relative molecular mass / mass / size of the gas particles (1) Accept: Concentration gradient.
Question 10 · Short recall and identification
2 marks
State what is meant by the term "empirical formula" and determine the empirical formula of hexane, \(\text{C}_6\text{H}_{14}\).
Show answer & marking schemeHide answer & marking scheme
Worked solution
The empirical formula is defined as the simplest whole-number ratio of the atoms of each element present in a compound. To find the empirical formula of hexane (\(\text{C}_6\text{H}_{14}\)), we divide both subscripts by their highest common factor, which is 2, giving \(\text{C}_3\text{H}_7\).
Marking scheme
M1: Simplest whole-number ratio of atoms of each element (in a compound) (1) M2: \(\text{C}_3\text{H}_7\) (1)
Question 11 · Short recall and identification
2 marks
State the approximate percentage by volume of nitrogen in clean, dry air and name one gas present in air with a percentage of less than 1%.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Clean, dry air is composed of approximately 78% nitrogen and 21% oxygen by volume. The remaining 1% is made up of noble gases (such as argon, which is about 0.9%) and carbon dioxide (about 0.04%).
Marking scheme
M1: 78% (accept 78% to 79%) (1) M2: Argon / Carbon dioxide / Helium / Neon / Krypton / Xenon (1) Reject: Water vapour (as the question states 'dry' air).
Question 12 · Short recall and identification
2 marks
State the expected colour and physical state of astatine (\(\text{At}\)) at room temperature, based on the trends in Group 7.
Show answer & marking schemeHide answer & marking scheme
Worked solution
As you descend Group 7, the halogens become darker in colour and their melting and boiling points increase due to stronger intermolecular forces. Since iodine is a grey/black solid, astatine (which is below iodine) is expected to be a black solid.
Marking scheme
M1: Black / dark grey (1) M2: Solid (1)
Question 13 · Short recall and identification
2 marks
State how the boiling point and viscosity of crude oil fractions change as the length of the carbon chain increases.
Show answer & marking schemeHide answer & marking scheme
Worked solution
As carbon chain length increases, the size of the molecules increases, leading to stronger intermolecular forces that require more thermal energy to break, thus increasing the boiling point. Longer molecules also tangle more easily, which increases the viscosity (making the liquid thicker and less runny).
Marking scheme
M1: Boiling point increases (1) M2: Viscosity increases / becomes thicker / becomes less runny (1)
Question 14 · Short recall and identification
2 marks
State two reasons why addition polymers are difficult to dispose of by landfill or combustion.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Addition polymers are non-biodegradable because they are inert due to strong carbon-carbon single bonds, which means they do not decay in landfill sites. If disposed of by burning (combustion), they release toxic/greenhouse gases into the atmosphere.
Marking scheme
M1: Non-biodegradable / inert / do not decay (1) M2: Combustion/burning releases toxic gases / greenhouse gases (1) Do not accept: 'causes pollution' without qualification.
Question 15 · Short recall and identification
2 marks
Explain how galvanising protects iron from rusting, even if the zinc coating is scratched.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Galvanising involves coating iron with zinc. If the coating is scratched, the iron is still protected because zinc is more reactive than iron. The zinc oxidises (loses electrons) preferentially to the iron, protecting the iron sacrificially.
Marking scheme
M1: Zinc is more reactive than iron (1) M2: Zinc reacts/corrodes/oxidises in preference to iron / acts sacrificially / prevents iron from losing electrons (1)
Question 16 · Short recall and identification
2 marks
State the colour of the flame produced in a flame test for calcium ions (\(\text{Ca}^{2+}\)) and describe how to clean the wire loop before carrying out the test.
Show answer & marking schemeHide answer & marking scheme
Worked solution
Calcium ions impart a characteristic orange-red (or brick-red) color to the flame. Before doing the test, the wire loop (nichrome or platinum) must be cleaned of impurities by dipping it into concentrated hydrochloric acid and holding it in a hot Bunsen burner flame until the flame shows no colour.
Marking scheme
M1: Orange-red / brick-red (1) M2: Dip the wire in hydrochloric acid AND heat it in a (roaring/blue) Bunsen burner flame (1)
Question 17 · Short recall and identification
2 marks
Solid carbon dioxide (dry ice) turns directly into carbon dioxide gas at room temperature.
State the name of this change of state, and describe the movement of particles in a gas.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. The change of state from a solid directly to a gas without passing through the liquid state is called sublimation. 2. In the gas state, the particles move rapidly, randomly, and in all directions.
Marking scheme
M1: Sublimation (1 mark) M2: (Particles move) randomly / rapidly / in all directions (1 mark) [Reject: vibrate / slide over each other]
Question 18 · Short recall and identification
2 marks
As you go down the fractional distillation column, the size of the hydrocarbon molecules in the fractions increases.
State how the boiling point and the viscosity of the fractions change as the molecule size increases.
Show answer & marking schemeHide answer & marking scheme
Worked solution
As the molecular size of the hydrocarbons increases: 1. The boiling point increases because the intermolecular forces between the larger molecules become stronger, requiring more energy to overcome. 2. The viscosity increases (the liquid becomes thicker and flows less easily) because the longer chains easily become tangled.
Marking scheme
M1: Boiling point increases (1 mark) M2: Viscosity increases / becomes more viscous (1 mark) [Accept: flows less easily for M2]
Question 19 · Short recall and identification
2 marks
State the approximate percentage by volume of nitrogen in dry, unpolluted air, and name the most abundant noble gas in the Earth's atmosphere.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Dry, unpolluted air contains approximately 78% nitrogen by volume. 2. Argon is the most abundant noble gas in the atmosphere, making up about 0.9% of dry air.
A student investigates the rate of reaction between magnesium ribbon and dilute hydrochloric acid. They measure the volume of hydrogen gas produced at regular time intervals. The student plots the points on a graph grid.
Describe how the student should: 1. Draw the line of best fit. 2. Identify an anomalous result from their plotted points. 3. Use the graph to determine the time when the reaction has completely stopped.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. The line of best fit for a rate graph is a smooth curve. It should not be drawn point-to-point. 2. Anomalous points are those that do not follow the overall trend and lie significantly away from the drawn curve. 3. When the reaction stops, no more gas is produced, so the volume remains constant. This is shown on the graph when the curve levels off to become a horizontal line (gradient is zero).
Marking scheme
M1: Draw a single smooth curve passing through or close to most points (do not accept joining points with straight lines / dot-to-dot) (1) M2: Identify the point that lies significantly away from/does not fit the trend of the curve of best fit (1) M3: Find the time at which the curve becomes completely horizontal / flat / gradient is zero (1)
Question 22 · open-response
3 marks
A student investigates the temperature change when different volumes of sodium hydroxide solution are added to \(25\text{ cm}^3\) of dilute hydrochloric acid. They plot a graph of temperature (y-axis) against volume of sodium hydroxide added (x-axis). The plotted points rise to a maximum temperature and then decrease.
Describe how the student should draw the lines of best fit to determine the exact volume of sodium hydroxide needed for complete neutralisation, and how they would find this volume from their graph.
Show answer & marking schemeHide answer & marking scheme
Worked solution
To find the exact neutralisation point from a temperature-volume graph with rising and falling values: 1. Draw a straight line of best fit through the rising temperature data points. 2. Draw a second straight line of best fit through the falling temperature data points. 3. Extend (extrapolate) both straight lines until they cross each other. The point of intersection represents the maximum temperature rise at complete neutralisation. 4. Read the corresponding volume of sodium hydroxide on the x-axis directly below this intersection point.
Marking scheme
M1: Draw two straight lines of best fit (one through the rising points and one through the falling points) (1) M2: Extend / extrapolate both lines until they cross / intersect (1) M3: Read the volume (value on the x-axis) at this point of intersection (1)
Question 23 · open-response
3 marks
A student plots a graph to show how the boiling points of straight-chain alkanes change with the number of carbon atoms in their molecules.
1. State how the y-axis should be structured to accommodate both negative and positive boiling point values (e.g. from \(-162\ ^\circ\text{C}\) to \(+36\ ^\circ\text{C}\)). 2. Describe how the student should draw the line of best fit through the plotted points. 3. Explain how the student can use the completed graph to estimate the boiling point of hexane (which has 6 carbon atoms).
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Since the boiling points span from negative to positive values (e.g. methane is \(-162\ ^\circ\text{C}\) and pentane is \(+36\ ^\circ\text{C}\)), the y-axis must have \(0\ ^\circ\text{C}\) positioned above the bottom of the axis so negative numbers can be plotted below it and positive numbers above it. 2. The change in boiling point is non-linear, so the line of best fit must be a single smooth curve passing near all the points (not a straight line or point-to-point straight lines). 3. To estimate the boiling point of hexane (6 carbons), the student should extend/extrapolate the curve smoothly to the vertical line corresponding to 6 carbon atoms on the x-axis, then read across to the y-axis to find the temperature.
Marking scheme
M1: Place the zero (\(0\ ^\circ\text{C}\)) of the y-axis in the middle/upper part of the axis so negative values scale downwards and positive values scale upwards (1) M2: Draw a single smooth curve of best fit (reject straight line or point-to-point lines) (1) M3: Extrapolate/extend the curve to 6 carbon atoms on the x-axis and read the corresponding temperature on the y-axis (1)
Question 24 · Calculations
4 marks
A student decomposes 8.40 g of magnesium carbonate, \( \text{MgCO}_3 \), but only obtains 3.40 g of magnesium oxide, \( \text{MgO} \). The equation for the reaction is: \( \text{MgCO}_3(s) \rightarrow \text{MgO}(s) + \text{CO}_2(g) \). Calculate the percentage yield of magnesium oxide in this experiment. [Relative atomic masses, \( A_r \): \( \text{Mg} = 24, \text{C} = 12, \text{O} = 16 \)]
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Calculate \( M_r \) of \( \text{MgCO}_3 = 24 + 12 + (3 \times 16) = 84 \). 2. Calculate \( M_r \) of \( \text{MgO} = 24 + 16 = 40 \). 3. Calculate the theoretical yield of \( \text{MgO} \): moles of \( \text{MgCO}_3 = \frac{8.40}{84} = 0.100 \text{ mol} \). Since 1 mole of \( \text{MgCO}_3 \) produces 1 mole of \( \text{MgO} \), theoretical moles of \( \text{MgO} = 0.100 \text{ mol} \). Theoretical mass of \( \text{MgO} = 0.100 \times 40 = 4.00 \text{ g} \). 4. Calculate percentage yield: \( \frac{3.40}{4.00} \times 100 = 85.0\% \).
Marking scheme
M1: Correctly calculate \( M_r \) values: \( \text{MgCO}_3 = 84 \) and \( \text{MgO} = 40 \) (1 mark). M2: Calculate amount in moles of \( \text{MgCO}_3 \) (0.100 mol) (1 mark). M3: Calculate theoretical mass of \( \text{MgO} \) (4.00 g) (1 mark). M4: Calculate percentage yield as 85.0% or 85% (1 mark).
Question 25 · Calculations
4 marks
In an experiment to measure the enthalpy change of combustion of methanol, a student burns 0.80 g of methanol (\( \text{CH}_3\text{OH} \)) and heats 100.0 g of water. The temperature of the water increases from \( 20.0^\circ\text{C} \) to \( 45.0^\circ\text{C} \). Calculate the molar enthalpy change of combustion, \( \Delta H \), of methanol in kJ/mol. Use the equation: \( Q = m \times c \times \Delta T \) (where \( m = 100.0\text{ g} \) and \( c = 4.18\text{ J/g/}^\circ\text{C} \)). Include a sign in your final answer. [Relative atomic masses, \( A_r \): \( \text{H} = 1, \text{C} = 12, \text{O} = 16 \)]
Show answer & marking schemeHide answer & marking scheme
M1: Calculate \( Q \) as \( 10450\text{ J} \) or \( 10.45\text{ kJ} \) (1 mark). M2: Calculate moles of methanol as 0.025 mol (1 mark). M3: Divide \( Q \) by moles (1 mark). M4: Give correct final value with negative sign (-418 kJ/mol) (1 mark). Accept -420 kJ/mol if rounded. Reject positive sign.
Question 26 · Calculations
4 marks
A student carries out a titration to find the concentration of a solution of sulfuric acid. The student finds that 25.0 cm\(^3\) of 0.100 mol/dm\(^3\) sodium hydroxide (\( \text{NaOH} \)) neutralises 20.0 cm\(^3\) of sulfuric acid (\( \text{H}_2\text{SO}_4 \)). The equation for the reaction is: \( 2\text{NaOH}(aq) + \text{H}_2\text{SO}_4(aq) \rightarrow \text{Na}_2\text{SO}_4(aq) + 2\text{H}_2\text{O}(l) \). Calculate the concentration of the sulfuric acid in mol/dm\(^3\).
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Calculate amount in moles of \( \text{NaOH} \): \( \text{moles} = \frac{25.0}{1000} \times 0.100 = 0.00250\text{ mol} \). 2. Find moles of \( \text{H}_2\text{SO}_4 \) using stoichiometry: ratio is \( 2\text{NaOH} : 1\text{H}_2\text{SO}_4 \), so moles of \( \text{H}_2\text{SO}_4 = \frac{0.00250}{2} = 0.00125\text{ mol} \). 3. Calculate concentration of \( \text{H}_2\text{SO}_4 \): \( \text{concentration} = \frac{0.00125}{20.0 / 1000} = 0.0625\text{ mol/dm}^3 \).
Marking scheme
M1: Calculate moles of \( \text{NaOH} \) (0.00250 mol) (1 mark). M2: Divide moles of \( \text{NaOH} \) by 2 to find moles of \( \text{H}_2\text{SO}_4 \) (0.00125 mol) (1 mark). M3: Divide moles of acid by the volume in dm\(^3\) (1 mark). M4: State the final answer of 0.0625 mol/dm\(^3\) (1 mark).
Question 27 · Calculations
4 marks
A student burns 1.20 g of magnesium in a sealed container containing 1.50 dm\(^3\) of oxygen gas. The reaction produces magnesium oxide according to the equation: \( 2\text{Mg}(s) + \text{O}_2(g) \rightarrow 2\text{MgO}(s) \). Calculate the volume, in dm\(^3\), of oxygen gas remaining in the container after the reaction is complete. [Assume 1.00 mole of any gas occupies 24.0 dm\(^3\) under the conditions of the experiment. \( A_r \text{ of Mg} = 24 \)]
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Calculate moles of Mg: \( \text{moles of Mg} = \frac{1.20}{24} = 0.050\text{ mol} \). 2. Determine moles of \( \text{O}_2 \) reacted: from equation, ratio of Mg to \( \text{O}_2 \) is \( 2:1 \), so moles of \( \text{O}_2 \) reacted = \( \frac{0.050}{2} = 0.025\text{ mol} \). 3. Calculate volume of \( \text{O}_2 \) reacted: \( 0.025\text{ mol} \times 24.0\text{ dm}^3/\text{mol} = 0.60\text{ dm}^3 \). 4. Calculate volume remaining: \( 1.50\text{ dm}^3 - 0.60\text{ dm}^3 = 0.90\text{ dm}^3 \).
Marking scheme
M1: Calculate moles of Mg as 0.050 mol (1 mark). M2: Determine moles of oxygen reacted as 0.025 mol (1 mark). M3: Calculate volume of oxygen reacted as \( 0.60\text{ dm}^3 \) (1 mark). M4: Subtract to find final volume remaining of \( 0.90\text{ dm}^3 \) (1 mark).
Question 28 · Calculations
4 marks
A student reacts calcium carbonate with excess hydrochloric acid in a flask on a balance to monitor the rate of reaction: \( \text{CaCO}_3(s) + 2\text{HCl}(aq) \rightarrow \text{CaCl}_2(aq) + \text{H}_2\text{O}(l) + \text{CO}_2(g) \). The mass of the flask and contents decreases as carbon dioxide gas escapes. The initial mass is 150.00 g. After 60 seconds, the mass is 149.34 g. After 120 seconds, the mass is 149.12 g. (a) Calculate the average rate of reaction in g/s over the first 60 seconds of the reaction. (2 marks) (b) Calculate the total amount, in moles, of carbon dioxide gas that has escaped from the flask after 120 seconds. [Relative atomic masses, \( A_r \): \( \text{C} = 12, \text{O} = 16 \)] (2 marks)
Show answer & marking schemeHide answer & marking scheme
Worked solution
Part (a): Loss in mass in first 60 s = \( 150.00\text{ g} - 149.34\text{ g} = 0.66\text{ g} \). Average rate = \( \frac{0.66\text{ g}}{60\text{ s}} = 0.011\text{ g/s} \). Part (b): Total loss in mass at 120 s = \( 150.00\text{ g} - 149.12\text{ g} = 0.88\text{ g} \). \( M_r(\text{CO}_2) = 12 + (16 \times 2) = 44 \). Moles of \( \text{CO}_2 \) escaped = \( \frac{0.88\text{ g}}{44\text{ g/mol}} = 0.020\text{ mol} \).
Marking scheme
Part (a): M1: Determine mass loss of 0.66 g (1 mark). M2: Calculate rate of 0.011 (g/s) (1 mark). Part (b): M3: Calculate total mass loss of 0.88 g (1 mark). M4: Divide mass by 44 to obtain 0.020 (mol) (1 mark).
Question 29 · Calculations
4 marks
A sample of rubidium contains two isotopes, \( ^{85}\text{Rb} \) and \( ^{87}\text{Rb} \). The relative percentage abundances of these isotopes are: \( ^{85}\text{Rb} = 72.17\% \) and \( ^{87}\text{Rb} = 27.83\% \). Calculate the relative atomic mass (\( A_r \)) of this sample of rubidium. Give your answer to 2 decimal places.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Multiply each isotopic mass by its relative abundance: \( (85 \times 72.17) = 6134.45 \) and \( (87 \times 27.83) = 2421.21 \). 2. Add these values together: \( 6134.45 + 2421.21 = 8555.66 \). 3. Divide by 100: \( \frac{8555.66}{100} = 85.5566 \). 4. Round to 2 decimal places: \( 85.56 \).
Marking scheme
M1: Set up numerator calculation: \( (85 \times 72.17) + (87 \times 27.83) \) (1 mark). M2: Divide by 100 (1 mark). M3: Obtain correct evaluation of 85.5566 (1 mark). M4: Give final answer to 2 decimal places as 85.56 (1 mark).
A teacher sets up an experiment to demonstrate the diffusion of gases using a long horizontal glass tube. Cotton wool soaked in concentrated aqueous ammonia is placed at end A of the tube, and cotton wool soaked in concentrated hydrochloric acid is placed at end B. The tube is sealed with stoppers at both ends. After a few minutes, a white ring of ammonium chloride solid forms inside the tube.
(a) Write a chemical equation, including state symbols, for the reaction that occurs. (2 marks)
(b) Explain, in terms of the particles involved, why the white ring forms closer to end B (the hydrochloric acid end) than end A. (2 marks)
(c) Explain how the time taken for the white ring to form would change if the experiment were carried out in a warmer room. (2 marks)
Show answer & marking schemeHide answer & marking scheme
Worked solution
(a) The gaseous ammonia reacts with gaseous hydrogen chloride to produce solid ammonium chloride: \(\text{NH}_3(\text{g}) + \text{HCl}(\text{g}) \rightarrow \text{NH}_4\text{Cl}(\text{s})\)
(b) Relative molecular mass (\(M_r\)) of ammonia (\(\text{NH}_3\)) is 17. Relative molecular mass (\(M_r\)) of hydrogen chloride (\(\text{HCl}\)) is 36.5. Because ammonia molecules are lighter/have a lower mass, they diffuse faster and cover a greater distance than the heavier hydrogen chloride molecules in the same amount of time. Therefore, they meet and react closer to the hydrogen chloride end (B).
(c) If the room is warmer (higher temperature), the gas particles gain kinetic energy. As a result, they move and diffuse faster, so the white ring of ammonium chloride forms in less time.
Marking scheme
(a) * M1: Correct reactants and product: \(\text{NH}_3 + \text{HCl} \rightarrow \text{NH}_4\text{Cl}\) (1 mark) * M2: Correct state symbols: \((\text{g})\) for both reactants and \((\text{s})\) for the product (1 mark)
(b) * M1: Ammonia has a lower relative molecular mass (\(M_r\)) than hydrogen chloride / ammonia molecules are lighter / HCl molecules are heavier (1 mark) * M2: Ammonia molecules diffuse faster / move faster / travel further in the same time (1 mark)
(c) * M1: The ring forms in less time / faster (1 mark) * M2: Particles have more kinetic energy and therefore move/diffuse faster (1 mark) (reject "react faster" on its own without mention of kinetic energy or speed of movement)
A student investigates the reactivity of three unknown metals, X, Y, and Z, by placing pieces of each metal into separate test tubes containing solutions of the other metals' nitrates. The observations are recorded below:
* Metal X added to Y-nitrate solution: brown solid forms on metal; blue solution turns colorless * Metal Y added to Z-nitrate solution: no visible change * Metal Z added to X-nitrate solution: no visible change
(a) Deduce the order of reactivity of the three metals, X, Y, and Z, from most reactive to least reactive. Explain your reasoning using the observations. (4 marks)
(b) Assuming metal X forms \(X^{2+}\) ions and the metal ion in Y-nitrate is \(Y^{2+}\), write an ionic equation, including state symbols, for the reaction between metal X and Y-nitrate solution. (2 marks)
Show answer & marking schemeHide answer & marking scheme
Worked solution
(a) * From the first observation, X reacts with Y-nitrate, meaning X is more reactive than Y because it displaces Y. * From the second observation, Y does not react with Z-nitrate, meaning Y cannot displace Z, so Z is more reactive than Y. * From the third observation, Z does not react with X-nitrate, meaning Z cannot displace X, so X is more reactive than Z. * Combining these facts, X is the most reactive, followed by Z, and Y is the least reactive. Therefore, the order is X > Z > Y.
(b) Metal X is oxidized to \(X^{2+}\) ions, while the \(Y^{2+}\) ions are reduced to metal Y: \(X(\text{s}) + Y^{2+}(\text{aq}) \rightarrow X^{2+}(\text{aq}) + Y(\text{s})\)
Marking scheme
(a) * M1: Deduce the correct order: X, Z, Y (or X > Z > Y) (1 mark) * M2: State that X is more reactive than Y because X displaces Y / a reaction occurs (1 mark) * M3: State that Z is more reactive than Y because Y cannot displace Z / no reaction occurs (1 mark) * M4: State that X is more reactive than Z because Z cannot displace X / no reaction occurs (1 mark)
(b) * M1: Correct ionic equation: \(X + Y^{2+} \rightarrow X^{2+} + Y\) (1 mark) * M2: Correct state symbols: \((\text{s})\) for metals and \((\text{aq})\) for ions (1 mark)
A student heats a sample of hydrated magnesium sulfate, \(\text{MgSO}_4 \cdot x\text{H}_2\text{O}\), in a crucible to determine the value of \(x\).
The student's results are shown below: * Mass of empty crucible = \(25.40\text{ g}\) * Mass of crucible + hydrated magnesium sulfate = \(30.32\text{ g}\) * Mass of crucible + anhydrous magnesium sulfate (after heating to constant mass) = \(27.80\text{ g}\)
(a) Show, by calculation, that the value of \(x\) is 7.
[\(M_r\text{ of MgSO}_4 = 120\); \(M_r\text{ of H}_2\text{O} = 18\)] (4 marks)
(b) Explain why it is important to heat the crucible and its contents to "constant mass" in this experiment. (2 marks)
Show answer & marking schemeHide answer & marking scheme
Worked solution
(a) 1. Calculate the mass of anhydrous magnesium sulfate (\(\text{MgSO}_4\)): \(27.80\text{ g} - 25.40\text{ g} = 2.40\text{ g}\)
2. Calculate the mass of water of crystallization lost: \(30.32\text{ g} - 27.80\text{ g} = 2.52\text{ g}\)
3. Calculate the number of moles of \(\text{MgSO}_4\): \(\text{Moles} = \frac{2.40\text{ g}}{120\text{ g/mol}} = 0.020\text{ mol}\)
4. Calculate the number of moles of \(\text{H}_2\text{O}\): \(\text{Moles} = \frac{2.52\text{ g}}{18\text{ g/mol}} = 0.140\text{ mol}\)
(b) Heating to "constant mass" (which involves heating, cooling, weighing, and repeating until the mass remains identical) ensures that all water of crystallization has evaporated from the sample. If the heating is insufficient, some water remains, which would make the calculated mass of water lost too low, resulting in an underestimated value of \(x\).
Marking scheme
(a) * M1: Calculate mass of \(\text{MgSO}_4\) (\(2.40\text{ g}\)) and mass of \(\text{H}_2\text{O}\) (\(2.52\text{ g}\)) (1 mark) * M2: Calculate moles of \(\text{MgSO}_4\) = \(0.020\text{ mol}\) (1 mark) * M3: Calculate moles of \(\text{H}_2\text{O}\) = \(0.140\text{ mol}\) (1 mark) * M4: Divide moles of water by moles of salt to show \(x = 7\) (1 mark)
(b) * M1: To ensure all water (of crystallization) has been evaporated / driven off / reaction is complete (1 mark) * M2: To ensure that the final mass of anhydrous salt recorded is accurate / to avoid underestimating the amount of water lost (1 mark)
In industry, crude oil is separated into useful fractions by fractional distillation using a fractionating column.
Explain how fractional distillation separates crude oil into different fractions.
In your answer, you should refer to: * what happens to the crude oil before it enters the column * the temperature gradient in the column * how the properties of the fractions determine where they condense and are collected. (6 marks)
Show answer & marking schemeHide answer & marking scheme
Worked solution
Fractional distillation is used to separate crude oil because the compounds within it (hydrocarbons) have different boiling points depending on their chain length.
1. **Pre-heating**: The crude oil is heated and vaporized before it is pumped into the bottom of the fractionating column. 2. **Temperature Gradient**: The fractionating column is designed with a temperature gradient; it is very hot at the bottom and becomes progressively cooler towards the top. 3. **Vapor Movement**: The gaseous hydrocarbons enter the column and rise up. 4. **Condensation**: As the vapors rise, they cool down. When the temperature of the column falls below a hydrocarbon's boiling point, that hydrocarbon condenses back into a liquid. 5. **High Boiling Point Fractions**: Long-chain hydrocarbons have strong intermolecular forces and high boiling points. They condense quickly near the bottom of the column and are drained off as thick liquids (e.g., bitumen, fuel oil). 6. **Low Boiling Point Fractions**: Short-chain hydrocarbons have weak intermolecular forces and low boiling points. They rise high up the column to the cooler regions before they condense and are collected (e.g., refinery gases, gasoline).
Marking scheme
* M1: Crude oil is heated and vaporized before entering the fractionating column (1 mark) * M2: State that the column has a temperature gradient / is hot at the bottom and cool at the top (1 mark) * M3: State that the vaporized hydrocarbons rise up the column (1 mark) * M4: State that different fractions / hydrocarbons have different boiling points (1 mark) * M5: Explain that longer-chain hydrocarbons (with higher boiling points) condense and are collected near the bottom (1 mark) * M6: Explain that shorter-chain hydrocarbons (with lower boiling points) condense and are collected near the top / or exit the top as gases (1 mark)
Explain, in terms of the particle collision theory, why the rate of this reaction:
(a) increases when the concentration of the hydrochloric acid is increased. (3 marks)
(b) increases when the same mass of marble chips is used, but as a fine powder instead of large chips. (3 marks)
Show answer & marking schemeHide answer & marking scheme
Worked solution
(a) When the concentration of hydrochloric acid is increased, there are more reacting acid particles (hydrogen ions) present in a given volume of solution. This means that the particles are packed closer together, which increases the probability of them colliding. Consequently, there is a higher frequency of successful collisions (more successful collisions per unit time), which increases the reaction rate.
(b) When the marble chips are crushed into a fine powder, the surface area increases significantly for the same mass. This means a much larger number of calcium carbonate particles are exposed on the surface and are available to collide with the acid molecules at any one time. This increases the frequency of successful collisions, resulting in a faster rate of reaction.
Marking scheme
(a) * M1: More reactant/acid particles in a given volume / unit volume (1 mark) (reject "more particles" on its own without reference to volume) * M2: Particles are closer together (1 mark) * M3: Greater frequency of successful collisions / more successful collisions per second / per unit time (1 mark) (reject "more collisions" on its own without time reference)
(b) * M1: Fine powder has a larger surface area / larger surface area to volume ratio (1 mark) * M2: More reactant/calcium carbonate particles are exposed / available to react at the surface (1 mark) * M3: Greater frequency of successful collisions / more successful collisions per second / per unit time (1 mark)
Paper 2C (Advanced Applications)
Answer all questions. Show all steps in calculations and include state symbols where required. Standard apparatus and calculations apply.
14 Question · 55 marks
Question 1 · Multiple Choice
1 marks
The equation for the steam reforming of methane is:
- **A** is correct because \(\Delta H = \text{total bonds broken} - \text{total bonds made} = +193\text{ kJ/mol}\). - **B** is incorrect because it is the negative value (representing an exothermic reaction incorrectly). - **C** is incorrect because it only breaks one \(\text{O}-\text{H}\) bond in water. - **D** is incorrect because it fails to multiply the \(\text{H}-\text{H}\) bond energy by 3.
Question 2 · Multiple Choice
1 marks
Ethane-1,2-diol, \(\text{HO-CH}_2\text{-CH}_2\text{-OH}\), reacts with propanedioic acid, \(\text{HOOC-CH}_2\text{-COOH}\), to form a polyester and water.
Which of the following represents the correct repeating unit of this polyester?
Show answer & marking schemeHide answer & marking scheme
Worked solution
During a condensation polymerisation reaction to form a polyester: - The diol, \(\text{HO-CH}_2\text{-CH}_2\text{-OH}\), loses the hydrogen atom (\(\text{-H}\)) from each of its two \(\text{-OH}\) groups, leaving the residue \(\text{-O-CH}_2\text{-CH}_2\text{-O-}\). - The dicarboxylic acid, \(\text{HOOC-CH}_2\text{-COOH}\) (which can be drawn as \(\text{HO-CO-CH}_2\text{-CO-OH}\)), loses the hydroxyl group (\(\text{-OH}\)) from each of its two \(\text{-COOH}\) groups, leaving the residue \(\text{-CO-CH}_2\text{-CO-}\). - Joining these two residues together with an ester linkage yields the repeating unit: \(\text{[-O-CH}_2\text{-CH}_2\text{-O-CO-CH}_2\text{-CO-]}\).
Marking scheme
Award 1 mark for the correct option (A).
- **A** is correct because it correctly represents the ester linkage and the carbon chains of both monomers. - **B** is incorrect because it is missing one of the ester oxygens. - **C** is incorrect because the dicarboxylic acid residue has an extra \(\text{CH}_2\) group. - **D** is incorrect because the diol residue is missing a \(\text{CH}_2\) group.
Question 3 · Recall tables & diagrams
3 marks
A student compiles a summary table of the three states of matter. Identify the missing entries (i), (ii), and (iii) from their descriptions. Entry (i) is the movement of particles in a solid. Entry (ii) is the arrangement of particles in a liquid. Entry (iii) is the movement of particles in a gas.
Show answer & marking schemeHide answer & marking scheme
Worked solution
(i) Particles in a solid are held in fixed positions by strong forces and can only vibrate. (ii) Particles in a liquid are close together but arranged in an irregular, random way. (iii) Particles in a gas have high energy, are far apart, and move rapidly and randomly in all directions.
Marking scheme
1 mark for identifying (i) as vibrate about fixed positions (accept vibrate only). 1 mark for identifying (ii) as random/irregularly arranged AND closely packed / touching. 1 mark for identifying (iii) as moving rapidly/randomly/quickly in all directions.
Question 4 · Recall tables & diagrams
3 marks
A student studies the trends in properties of different crude oil fractions. Complete the missing information: (i) Describe the trend in viscosity as you go from refinery gases (top of column) to bitumen (bottom of column). (ii) State the relative boiling point of bitumen compared to all other fractions. (iii) State the relative ease of ignition of refinery gases compared to bitumen.
Show answer & marking schemeHide answer & marking scheme
Worked solution
(i) Viscosity increases as the carbon chain length increases from top to bottom. (ii) Bitumen, being at the bottom of the fractionating column, has the highest boiling point. (iii) Refinery gases, having the shortest chain lengths, are the most volatile and therefore the easiest to ignite.
Marking scheme
1 mark for stating that viscosity increases (or becomes thicker/more viscous). 1 mark for stating that bitumen has the highest boiling point. 1 mark for stating that refinery gases are the easiest to ignite / most flammable.
Question 5 · Recall tables & diagrams
3 marks
A student performs qualitative tests to identify various ions in solution and records them in a results table. Identify the missing details: (i) The observation when sodium hydroxide solution is added to a solution containing copper(II) ions. (ii) The identity of the halide ion that produces a cream precipitate when treated with dilute nitric acid and silver nitrate solution. (iii) The reagent that must be added, along with dilute hydrochloric acid, to test for sulfate ions.
Show answer & marking schemeHide answer & marking scheme
Worked solution
(i) Copper(II) ions react with hydroxide ions to form a blue precipitate of copper(II) hydroxide. (ii) Bromide ions react with silver ions to form a cream precipitate of silver bromide. (iii) Sulfate ions are tested using acidified barium chloride (or barium nitrate) solution, which forms a white precipitate of barium sulfate.
Marking scheme
1 mark for blue precipitate (reject other colours). 1 mark for bromide ion / Br- (reject bromine). 1 mark for barium chloride / BaCl2 / barium nitrate / Ba(NO3)2 (reject barium alone).
Question 6 · Recall tables & diagrams
3 marks
A reaction profile diagram shows energy on the vertical axis and progress of reaction on the horizontal axis. For a particular reaction, the reactants are at a higher energy level than the products. (i) State the name given to the minimum energy required for the reaction to occur (from reactants to the peak of the curve). (ii) State the sign (positive or negative) of the overall enthalpy change (delta H) for this reaction. (iii) State the term used to describe this type of reaction based on its energy change.
Show answer & marking schemeHide answer & marking scheme
Worked solution
(i) The minimum energy required for particles to react when they collide is the activation energy. (ii) Since the products have less chemical energy than the reactants, energy is released, making the overall enthalpy change negative. (iii) A reaction that releases thermal energy to the surroundings is described as exothermic.
Marking scheme
1 mark for activation energy (accept Ea). 1 mark for negative (accept minus / -). 1 mark for exothermic.
Question 7 · Recall tables & diagrams
3 marks
A table is constructed to compare addition and condensation polymerisation. Complete the following three statements from the comparison table: (i) State the number of products formed in condensation polymerisation. (ii) Identify the key functional group feature required in monomers undergoing addition polymerisation. (iii) State the typical small molecule that is eliminated during the formation of a polyester.
Show answer & marking schemeHide answer & marking scheme
Worked solution
(i) Condensation polymerisation produces two products: the polymer itself and a small molecule (such as water or hydrogen chloride). (ii) Addition polymerisation requires monomers with an unsaturated carbon-carbon double bond (C=C). (iii) In the formation of a polyester from a dicarboxylic acid and a diol, water (H2O) is the small molecule eliminated.
Marking scheme
1 mark for two products (accept the polymer and a small molecule / water / HCl). 1 mark for carbon-carbon double bond / C=C double bond (accept C=C or unsaturation). 1 mark for water / H2O (accept hydrogen chloride / HCl).
Question 8 · calculation
5 marks
The gas phase reaction between methane and fluorine can be represented by the equation: \(CH_4(g) + F_2(g) \rightarrow CH_3F(g) + HF(g)\). The enthalpy change (\(\Delta H\)) for this reaction is \(-468\text{ kJ/mol}\). Use the following mean bond energies to calculate the mean bond energy of the \(C-F\) bond in \(CH_3F\). Mean bond energies: \(C-H = 413\text{ kJ/mol}\), \(F-F = 158\text{ kJ/mol}\), \(H-F = 567\text{ kJ/mol}\).
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, calculate the energy required to break bonds in the reactants: \(4 \times (C-H) + 1 \times (F-F) = 4 \times 413 + 158 = 1652 + 158 = 1810\text{ kJ/mol}\). Next, write the expression for the energy released when bonds are formed in the products: \(3 \times (C-H) + 1 \times (C-F) + 1 \times (H-F) = 3 \times 413 + (C-F) + 567 = 1239 + 567 + (C-F) = 1806 + (C-F)\). Use the enthalpy change equation: \(\Delta H = \text{energy in} - \text{energy out}\). \(-468 = 1810 - (1806 + (C-F))\). \(-468 = 4 - (C-F)\). \((C-F) = 4 + 468 = 472\text{ kJ/mol}\).
Marking scheme
M1: Calculates the total energy needed to break reactant bonds as \(1810\text{ kJ/mol}\) (1) M2: Formulates an expression for the total energy released on forming product bonds as \(1806 + x\) or \(1239 + 567 + x\) (1) M3: Sets up the complete equation linking reactants, products, and \(\Delta H\): \(-468 = 1810 - (1806 + x)\) (1) M4: Rearranges the equation correctly: \(x = 1810 - 1806 + 468\) (1) M5: Correct final answer of \(472\text{ kJ/mol}\) (1). Accept 472. Reject -472.
Question 9 · calculation
5 marks
A student reacts \(0.360\text{ g}\) of magnesium ribbon with excess dilute hydrochloric acid. The equation for the reaction is: \(Mg(s) + 2HCl(aq) \rightarrow MgCl_2(aq) + H_2(g)\). If the student collects \(306\text{ cm}^3\) of hydrogen gas at rtp, calculate the percentage yield of hydrogen gas. (Molar volume of a gas at rtp = \(24000\text{ cm}^3/\text{mol}\), \(A_r(Mg) = 24\))
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, calculate the moles of magnesium used: \(\text{moles of Mg} = \frac{\text{mass}}{A_r} = \frac{0.360}{24} = 0.0150\text{ mol}\). According to the equation, \(1\text{ mol}\) of \(Mg\) produces \(1\text{ mol}\) of \(H_2\), so the theoretical moles of \(H_2 = 0.0150\text{ mol}\). Next, calculate the theoretical volume of \(H_2\) gas produced at rtp: \(\text{theoretical volume} = 0.0150\text{ mol} \times 24000\text{ cm}^3/\text{mol} = 360\text{ cm}^3\). Finally, calculate the percentage yield: \(\text{percentage yield} = \frac{\text{actual volume}}{\text{theoretical volume}} \times 100 = \frac{306}{360} \times 100 = 85.0\%\).
Marking scheme
M1: Calculates the moles of Mg used: \(\frac{0.360}{24} = 0.0150\text{ mol}\) (1) M2: Deduces the theoretical moles of \(H_2\) is \(0.0150\text{ mol}\) from the 1:1 ratio (1) M3: Calculates the theoretical volume of \(H_2\): \(0.0150 \times 24000 = 360\text{ cm}^3\) (or \(0.360\text{ dm}^3\)) (1) M4: Correctly structures the percentage yield expression: \(\frac{306}{360} \times 100\) (1) M5: Gives the final answer as \(85\%\) or \(85.0\%\) (1).
Question 10 · calculation
5 marks
In a calorimetry experiment, a student burns \(0.46\text{ g}\) of ethanol (\(C_2H_5OH\)) and uses the heat produced to warm \(150\text{ g}\) of water. The temperature of the water increases by \(22.0\ ^\circ\text{C}\). Calculate the molar enthalpy change of combustion (\(\Delta H\)) of ethanol in \(\text{kJ/mol}\). Include a sign in your final answer. (Specific heat capacity of water = \(4.18\text{ J/g/}^\circ\text{C}\), \(M_r\text{ of ethanol} = 46\))
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, calculate the heat energy transferred using \(Q = m c \Delta T\): \(Q = 150\text{ g} \times 4.18\text{ J/g/}^\circ\text{C} \times 22.0\ ^\circ\text{C} = 13794\text{ J} = 13.794\text{ kJ}\). Second, calculate the moles of ethanol burned: \(\text{moles} = \frac{\text{mass}}{M_r} = \frac{0.46}{46} = 0.010\text{ mol}\). Third, calculate the molar enthalpy change: \(\Delta H = -\frac{Q}{n} = -\frac{13.794\text{ kJ}}{0.010\text{ mol}} = -1379.4\text{ kJ/mol}\). Rounding to three significant figures gives \(-1380\text{ kJ/mol}\).
Marking scheme
M1: Calculates heat energy transferred \(Q = 150 \times 4.18 \times 22.0 = 13794\text{ J}\) (or \(13.794\text{ kJ}\)) (1) M2: Calculates moles of ethanol burned: \(\frac{0.46}{46} = 0.010\text{ mol}\) (1) M3: Shows division of heat energy (in kJ) by the calculated moles of ethanol (1) M4: Shows negative sign to indicate exothermic combustion (1) M5: Gives final answer of \(-1380\) or \(-1379.4\text{ kJ/mol}\) (1).
Question 11 · calculation
5 marks
A student adds \(2.50\text{ g}\) of calcium carbonate (\(CaCO_3\)) to \(40.0\text{ cm}^3\) of \(1.00\text{ mol/dm}^3\) hydrochloric acid. The reaction is represented by the equation: \(CaCO_3(s) + 2HCl(aq) \rightarrow CaCl_2(aq) + H_2O(l) + CO_2(g)\). Calculate the volume, in \(\text{cm}^3\), of carbon dioxide gas produced at rtp. (Molar volume of a gas at rtp = \(24000\text{ cm}^3/\text{mol}\), \(M_r(CaCO_3) = 100\))
Show answer & marking schemeHide answer & marking scheme
Worked solution
First, calculate the moles of \(CaCO_3\) used: \(\text{moles} = \frac{2.50}{100} = 0.0250\text{ mol}\). Second, calculate the moles of \(HCl\) used: \(\text{moles} = 1.00 \times \frac{40.0}{1000} = 0.0400\text{ mol}\). Third, determine the limiting reactant: from the equation, \(1\text{ mol}\) of \(CaCO_3\) reacts with \(2\text{ mol}\) of \(HCl\). Thus, \(0.0250\text{ mol}\) of \(CaCO_3\) requires \(0.0500\text{ mol}\) of \(HCl\). Since only \(0.0400\text{ mol}\) of \(HCl\) is present, \(HCl\) is the limiting reactant. Fourth, deduce the moles of \(CO_2\) produced: \(\text{moles of } CO_2 = \frac{\text{moles of } HCl}{2} = \frac{0.0400}{2} = 0.0200\text{ mol}\). Fifth, calculate the volume of \(CO_2\) produced: \(\text{volume} = 0.0200\text{ mol} \times 24000\text{ cm}^3/\text{mol} = 480\text{ cm}^3\).
Marking scheme
M1: Calculates moles of \(CaCO_3\): \(\frac{2.50}{100} = 0.0250\text{ mol}\) (1) M2: Calculates moles of \(HCl\): \(1.00 \times \frac{40.0}{1000} = 0.0400\text{ mol}\) (1) M3: Identifies \(HCl\) as the limiting reactant (or shows that \(CaCO_3\) is in excess) (1) M4: Deduces moles of \(CO_2\) produced as \(\frac{0.0400}{2} = 0.0200\text{ mol}\) (1) M5: Calculates the final volume of \(CO_2\): \(0.0200 \times 24000 = 480\text{ cm}^3\) (1). Accept \(0.48\text{ dm}^3\) if unit is clearly stated.
Question 12 · Experimental design and evaluation
6 marks
A student wants to measure the enthalpy change (\(\Delta H\)) for the displacement reaction between zinc powder and copper(II) sulfate solution. Describe an experimental procedure the student could use to obtain the necessary temperature data to calculate an accurate value for the enthalpy change of this reaction. You should specify the measurements to be taken and how to minimize heat loss.
Show answer & marking schemeHide answer & marking scheme
Worked solution
1. Measure a known volume (such as \(25\text{ cm}^3\) or \(50\text{ cm}^3\)) of copper(II) sulfate solution using a measuring cylinder or pipette, and transfer it into a polystyrene cup. 2. Place the polystyrene cup inside a glass beaker for stability, and fit it with a lid containing a hole for a thermometer to minimize heat loss to the surroundings. 3. Place a thermometer in the solution and record the temperature every minute for 3 minutes to establish a baseline. 4. At the 4th minute, add a known mass of zinc powder (ensuring it is in excess to react all the copper(II) ions) to the cup, but do not record the temperature. 5. Stir the mixture continuously to ensure rapid reaction and even heat distribution. 6. Record the temperature of the mixture every minute from the 5th to the 10th minute. 7. Plot a graph of temperature against time, draw lines of best fit for the points before and after the addition, and extrapolate both lines back to the 4th minute (the time of mixing) to determine the theoretical maximum temperature change (\(\Delta T\)).
Marking scheme
M1: Place a known volume of copper(II) sulfate solution into a polystyrene cup supported by a beaker with a lid to insulate [1]. M2: Record the temperature of the solution at regular intervals (e.g. every minute) for 3 minutes before adding the zinc [1]. M3: Add a known mass of zinc powder in excess at a specific time (e.g., at the 4th minute) [1]. M4: Stir the mixture continuously during the reaction [1]. M5: Record the temperature at regular intervals (e.g. every minute) for several minutes after mixing [1]. M6: Plot a graph of temperature against time and extrapolate the cooling curve back to the time of mixing to find the maximum temperature rise [1]. Accept: Mention of using a specific pipette/measuring cylinder for the solution. Reject: Use of a copper or glass beaker instead of polystyrene for M1.
Question 13 · Experimental design and evaluation
6 marks
A student wants to compare the effectiveness of manganese(IV) oxide (\(\text{MnO}_2\)) and copper(II) oxide (\(\text{CuO\)}) as catalysts for the decomposition of hydrogen peroxide solution (\(\text{H}_2\text{O}_2\)). Describe an experiment the student could perform to determine which catalyst is more effective. Your description should include: how to make the test fair, the measurements to be taken, and how the student can use the results to draw a conclusion.
Show answer & marking schemeHide answer & marking scheme
Worked solution
To conduct a fair and accurate comparison: 1. Measure a fixed volume (e.g., \(25\text{ cm}^3\)) of a known concentration of hydrogen peroxide solution and place it into a conical flask. 2. Weigh out a fixed mass (e.g., \(0.5\text{ g\)}) of manganese(IV) oxide powder. 3. Connect the flask to a gas syringe using a delivery tube and a rubber bung. 4. Add the manganese(IV) oxide to the flask, immediately seal with the bung, and start a stopwatch. 5. Record the volume of gas collected in the syringe at regular intervals (e.g., every 10 seconds) for 2 minutes or until the reaction finishes. 6. Repeat the entire procedure keeping all conditions identical (same temperature, volume/concentration of peroxide, and mass of catalyst) but using \(0.5\text{ g}\) of copper(II) oxide powder instead. 7. Plot a graph of volume of gas (y-axis) against time (x-axis) for both catalysts. The catalyst that produces the steepest initial curve (or produces the largest volume of gas in the first 30 seconds) is the more effective catalyst.
Marking scheme
M1: Control variables: keep the volume and concentration of hydrogen peroxide solution constant (and constant initial temperature) [1]. M2: Control variables: keep the mass and state of subdivision (both powders) of each catalyst constant [1]. M3: Describe a suitable gas collection apparatus: flask connected to a gas syringe or a delivery tube over a graduated cylinder inverted over water [1]. M4: Measure the volume of oxygen gas collected at regular time intervals (e.g. every 10 seconds) [1]. M5: Repeat the experiment using the same conditions with the second catalyst [1]. M6: Conclusion: State that the more effective catalyst is the one that produces the steepest initial gradient on a graph of volume vs time / produces a given volume of gas in the shortest time [1]. Reject: Determining effectiveness solely by measuring the final volume of gas produced.
Question 14 · Experimental design and evaluation
6 marks
A student is given a solid sample of ammonium sulfate, \(\text{(NH}_4\text{)}_2\text{SO}_4\). Describe how the student can perform chemical tests to confirm that the sample contains both ammonium (\(\text{NH}_4^+\)) ions and sulfate (\(\text{SO}_4^{2-}\)) ions. Your answer should include the reagents used and the expected observations for both tests.
Show answer & marking schemeHide answer & marking scheme
Worked solution
For the ammonium ion (\(\text{NH}_4^+\)) test: 1. Place a sample of the solid or its solution in a test tube. 2. Add an excess of sodium hydroxide solution and warm the mixture gently over a Bunsen burner. 3. Hold a piece of damp red litmus paper near the mouth of the test tube. 4. The gas evolved (ammonia) will turn the damp red litmus paper blue, confirming the presence of ammonium ions. For the sulfate ion (\(\text{SO}_4^{2-}\)) test: 1. Dissolve a sample of the solid in deionised water to prepare an aqueous solution. 2. Add a few drops of dilute hydrochloric acid (or dilute nitric acid) to remove any carbonate impurities that might give a false positive. 3. Add a few drops of barium chloride solution (or barium nitrate solution). 4. A white precipitate of barium sulfate will form, confirming the presence of sulfate ions.
Marking scheme
For the ammonium test: M1: Add sodium hydroxide solution and warm/heat [1]. M2: Test the evolved gas with damp red litmus paper [1]. M3: Red litmus paper turns blue [1]. For the sulfate test: M4: Dissolve the sample in water and add dilute hydrochloric acid (or dilute nitric acid) [1]. M5: Add barium chloride solution (or barium nitrate solution) [1]. M6: White precipitate forms [1]. Note: For M4, the acid must be added before the barium reagent. Reject: sulfuric acid used for acidification in M4.
Wondering how well you actually know this?
Thinka is an AI practice app for DSE students — unlimited questions, instant auto-marking, and detailed step-by-step solutions. 100,000+ students use it to confirm they actually know it, not just think they do.