S4 Chemistry Paper: Moles, Titration, pH, Electrolysis and Heat of Neutralisation (100 marks)
- 2026-11-13
S4 Chemistry paper: 6 questions, 25 parts, 100 marks, 60 minutes. Covers moles, titration, pH, electrolysis, redox and neutralisation enthalpy.
Section A: Moles and Concentration (16 marks)
21.2 g of anhydrous sodium carbonate (molar mass 106 g/mol) is dissolved completely in water to make 250 cm3 of solution.
| # | Question | Answer and marking notes |
|---|---|---|
| 1 | Calculate the number of moles of sodium carbonate used. | Answer: 21.2 / 106 = 0.200 mol. (Marking: correct substitution 2, division 1, answer with unit 1) |
| 2 | Calculate the molar concentration of the solution in mol per dm3. | Answer: 0.200 / 0.250 = 0.800 mol per dm3. (Marking: volume in dm3 1, formula 2, answer 1) |
| 3 | How many moles of sodium ions does the solution contain? | Answer: each mole of sodium carbonate gives 2 moles of sodium ions, so 0.200 x 2 = 0.400 mol. (Marking: ratio 2, answer with unit 2) |
| 4 | Calculate the total mass of sodium ions in the solution (molar mass of sodium 23 g/mol). | Answer: 0.400 x 23 = 9.20 g. (Marking: moles 2, molar mass 1, answer with unit 1) |
Section B: Acid-Base Titration (16 marks)
25.0 cm3 of 0.100 mol per dm3 sodium carbonate solution is titrated with 0.200 mol per dm3 hydrochloric acid until no more bubbles form. Equation: Na2CO3 + 2HCl -> 2NaCl + H2O + CO2.
| # | Question | Answer and marking notes |
|---|---|---|
| 5 | Calculate the number of moles of sodium carbonate taken. | Answer: 0.100 x 0.0250 = 0.00250 mol. (Marking: volume in dm3 1, substitution 2, answer 1) |
| 6 | Use the equation to find the number of moles of hydrochloric acid needed. | Answer: mole ratio 1 to 2, so 0.00250 x 2 = 0.00500 mol. (Marking: mole ratio 2, calculation 1, answer 1) |
| 7 | Calculate the volume of hydrochloric acid needed in cm3. | Answer: 0.00500 / 0.200 = 0.0250 dm3 = 25.0 cm3. (Marking: formula 2, conversion 1, answer 1) |
| 8 | The reaction releases carbon dioxide. Calculate its volume at room temperature and pressure (molar volume 24.0 dm3 per mol). | Answer: moles of carbon dioxide equal moles of sodium carbonate, 0.00250 x 24.0 = 0.0600 dm3 = 60.0 cm3. (Marking: equal moles 1, molar volume 2, answer with unit 1) |
Section C: Dilution and pH (16 marks)
At 25 degrees, a strong acid solution has pH 2.0 and a sodium hydroxide solution has pH 12.0. The temperature stays constant.
| # | Question | Answer and marking notes |
|---|---|---|
| 9 | Calculate the hydrogen ion concentration of the acid solution. | Answer: hydrogen ion concentration = 10 to the power minus 2 = 0.010 mol per dm3. (Marking: pH-concentration link 2, value 1, unit 1) |
| 10 | The acid is diluted 1000 times. Calculate the new pH. | Answer: the hydrogen ion concentration becomes 1.0 x 10^-5 mol per dm3, so pH = 5.0. (Marking: diluted concentration 2, negative log 1, answer 1) |
| 11 | Calculate the hydroxide ion concentration of the pH 12.0 sodium hydroxide solution. | Answer: pOH = 14 – 12.0 = 2.0, hydroxide concentration = 1.0 x 10^-2 = 0.010 mol per dm3. (Marking: pOH 2, concentration 1, unit 1) |
| 12 | What volume of 0.020 mol per dm3 sodium hydroxide neutralises 50.0 cm3 of the acid above (0.010 mol per dm3)? | Answer: 0.010 x 0.0500 = 5.0 x 10^-4 mol; 5.0 x 10^-4 / 0.020 = 0.0250 dm3 = 25.0 cm3. (Marking: moles 2, volume 1, answer 1) |
Section D: Electrolysis and Electroplating (16 marks)
A current of 4.0 A passes through copper sulphate solution for 1930 s. Copper is deposited at the cathode and oxygen is released at the anode. Faraday constant 96500 C per mol, molar mass of copper 63.5 g/mol.
| # | Question | Answer and marking notes |
|---|---|---|
| 13 | Calculate the quantity of charge passed. | Answer: 4.0 x 1930 = 7720 C. (Marking: charge = current x time 2, substitution 1, answer with unit 1) |
| 14 | Calculate the number of moles of electrons passed. | Answer: 7720 / 96500 = 0.0800 mol. (Marking: divide by Faraday constant 2, calculation 1, answer 1) |
| 15 | Given Cu2+ + 2e -> Cu, calculate the mass of copper deposited at the cathode. | Answer: moles of copper = 0.0800 / 2 = 0.0400 mol; mass = 0.0400 x 63.5 = 2.54 g. (Marking: electron ratio 2, molar mass 1, answer 1) |
| 16 | The anode reaction is 2H2O -> O2 + 4H+ + 4e. Calculate the volume of oxygen released (molar volume 24.0 dm3 per mol). | Answer: moles of oxygen = 0.0800 / 4 = 0.0200 mol; volume = 0.0200 x 24.0 = 0.480 dm3 = 480 cm3. (Marking: 4 electrons per oxygen 2, volume 1, answer 1) |
Section E: Redox Titration (16 marks)
In acidic conditions, 25.0 cm3 of 0.020 mol per dm3 potassium permanganate solution exactly oxidises 50.0 cm3 of iron(II) sulphate solution. Half equations: MnO4- + 8H+ + 5e -> Mn2+ + 4H2O and Fe2+ -> Fe3+ + e.
| # | Question | Answer and marking notes |
|---|---|---|
| 17 | Calculate the number of moles of potassium permanganate used. | Answer: 0.020 x 0.0250 = 5.0 x 10^-4 mol. (Marking: volume conversion 1, substitution 2, answer 1) |
| 18 | State the oxidation number of manganese in potassium permanganate and after the reaction. | Answer: manganese is +7 in potassium permanganate and +2 in manganese(II) sulphate after the reaction. (Marking: 2 marks each, sign needed) |
| 19 | Calculate the moles of electrons transferred and the moles of iron(II) ions oxidised. | Answer: each permanganate ion accepts 5 electrons, so 0.000500 x 5 = 2.5 x 10^-3 mol; each iron(II) ion loses 1 electron, so the same 2.5 x 10^-3 mol. (Marking: ratio of 5 2, electron moles 1, iron moles 1) |
| 20 | Calculate the molar concentration of the iron(II) sulphate solution and explain the colour change during the titration. | Answer: 2.5 x 10^-3 / 0.0500 = 0.050 mol per dm3; the purple colour fades quickly because manganese is reduced from +7 to +2, leaving a very pale pink or colourless solution. (Marking: concentration 2, oxidation number change 1, colour explanation 1) |
Section F: Heat of Neutralisation (20 marks)
50.0 cm3 of 1.0 mol per dm3 hydrochloric acid is mixed with 50.0 cm3 of 1.0 mol per dm3 sodium hydroxide in an insulated cup. The temperature rises by 6.8 degrees. Assume the mixture has density 1.0 g per cm3 and specific heat capacity 4.2 J per g per degree.
| # | Question | Answer and marking notes |
|---|---|---|
| 21 | Calculate the number of moles of water formed. | Answer: both acid and alkali give 0.0500 mol, so 0.0500 mol of water forms. (Marking: moles of both 2, limiting reagent 1, answer 1) |
| 22 | Calculate the heat released by the reaction. | Answer: mass 100 g, heat = 100 x 4.2 x 6.8 = 2856 J. (Marking: mass of mixture 1, formula 2, answer with unit 1) |
| 23 | Calculate the enthalpy of neutralisation per mole in kJ per mol. | Answer: 2856 / 0.0500 = 57120 J per mol = 57.1 kJ per mol. (Marking: divide by moles 2, unit conversion 1, answer 1) |
| 24 | If about fifteen percent of the heat is lost to the surroundings, calculate the corrected enthalpy of neutralisation. | Answer: actual heat = 2856 / 0.85 = 3360 J; 3360 / 0.0500 = 67200 J per mol = 67.2 kJ per mol. (Marking: divide by 0.85 2, divide by moles 1, answer 1) |
| 25 | The literature value is 57.3 kJ per mol. Compare the two calculated values, explain the difference and suggest two improvements to the experiment. | Answer: the uncorrected 57.1 is close to the literature value while the corrected 67.2 is too high, so the fifteen percent loss assumption is too large; the gap comes from heat loss, thermometer error and poor insulation. Improvements: insulate and cover the cup, extrapolate a cooling curve to the mixing moment, repeat and average, use a more sensitive digital thermometer. (Marking: comparison 1, error sources 1, each improvement 1) |
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