Edexcel A-Level Chemistry Paper 1, June 2025: Question 3
18 marks · Medium difficulty · Synoptic Questions
Investigate the enthalpy change for the thermal decomposition of calcium carbonate using indirect calorimetry, calculate Gibbs free energy and feasibility, and explain the thermal stability trend of Group 2 carbonates.
Practise this questionQuestion
Mark scheme
Show the mark scheme
How to answer it
Thermodynamics & Group 2: Decomposition of Carbonates
This 18-mark question evaluates practical thermochemistry and theoretical thermodynamics:
- Experimental limitations: Why direct enthalpy measurements of decomposition cannot be done by simple calorimetry.
- Calorimetry calculations: Finding excess reagents, calculating enthalpy changes using q = mcΔT, and handling stoichiometric signs.
- Hess's Law cycles: Constructing an indirect thermochemical route and calculating an unknown enthalpy change.
- Entropy and Gibbs free energy: Calculating ΔS⦵system, determining feasibility via ΔG⦵, and calculating the minimum decomposition temperature.
- Inorganic trends: Explaining the thermal stability of Group 2 carbonates using ionic radius, charge density, and anion polarisation.
Part (a) — Limitations of Direct Determination
1 Mark
✅ Acceptable Answers (Any One)
- Heat energy must be continuously supplied, so any measured temperature change is not solely from the decomposition reaction itself.
- It is difficult to determine when the thermal decomposition reaction is complete.
- It is not possible to accurately measure the temperature change of a solid while actively heating it.
❌ Common Misconceptions
- Do NOT just write: "The reaction is incomplete" or "it's too slow" without reference to heating.
- Vague temperature points: Stating simply "heat is lost" does not explain why direct measurement is fundamentally impossible during thermal decomposition.
Part (b)(i) — Completing Experimental Data Table
1 Mark
✅ Completed Values
| Measurement | Value |
|---|---|
| Mass of weighing boat with calcium carbonate / g | 4.30 |
| Mass of weighing boat after emptying out calcium carbonate / g | 0.20 |
| Mass of calcium carbonate used / g | 4.10 (4.30 − 0.20) |
| Temperature at the start / °C | 19.0 |
| Highest temperature / °C | 24.5 (19.0 + 5.5) |
| Temperature change / °C | 5.5 |
Part (b)(ii) — Proving Hydrochloric Acid is in Excess
2 Marks
📐 Step-by-Step Proof
Step 1: Calculate moles of HCl added
n(HCl) = concentration × volume = 3.00 mol dm⁻³ × (30.0 / 1000) dm³ = 0.090 mol
Step 2: Use stoichiometry from Reaction 2 to compare
CaCO₃(s) + 2HCl(aq) → CaCl₂(aq) + CO₂(g) + H₂O(l)
Reacting ratio is 1 mol CaCO₃ : 2 mol HCl.
Moles of HCl required = 0.041 mol × 2 = 0.082 mol
Step 3: State clear concluding comparison
Since 0.090 mol > 0.082 mol, HCl is present in excess.
🧠 Exam Technique: Alternative Method
You can also show the maximum moles of CaCO₃ that could react:
0.090 / 2 = 0.045 mol CaCO₃
Since 0.045 mol > 0.041 mol used, HCl must be in excess.
❌ Common Error
Forgetting the 1:2 stoichiometric ratio! Simply comparing 0.090 mol to 0.041 mol scores zero for the comparison mark because it ignores the reaction stoichiometry.
Part (b)(iii) — Calculating ΔrH₂ for Reaction 2
3 Marks
📐 Step-by-Step Enthalpy Calculation
- Calculate heat energy released (q):
q = m × c × ΔT = 30 g × 4.18 J g⁻¹ °C⁻¹ × 5.5 °C = 689.7 J (= 0.6897 kJ) - Divide by moles of limiting reactant (CaCO₃):
Enthalpy magnitude = 0.6897 kJ / 0.041 mol = 16.822 kJ mol⁻¹ - Apply the correct sign:
Temperature increased (+5.5 °C), so the reaction is exothermic.
ΔrH₂ = −16.8 kJ mol⁻¹ (or −17 kJ mol⁻¹ / −16.822 kJ mol⁻¹)
❌ Major Traps
- Wrong mass in q: Do not use the mass of CaCO₃ (4.10 g) in q = mcΔT. The question states mass of solution = 30 g.
- Wrong moles: Dividing by moles of HCl (0.090 mol) instead of the limiting reactant (0.041 mol).
- Missing negative sign: Losing the final mark by writing +16.8 instead of −16.8 kJ mol⁻¹.
💡 Units Check
Always check whether your intermediate energy is in J or kJ before dividing by moles. 689.7 J ÷ 0.041 mol = 16822 J mol⁻¹ = 16.8 kJ mol⁻¹.
Part (b)(iv) — Completing the Hess's Law Cycle
2 Marks
Cycle Layout Description
│ │
+ 2HCl(aq) │ │ + 2HCl(aq)
(ΔrH₂) ▼ ▼ (ΔrH₃)
┌────────────────────────────────────────────────────────┐
│ CaCl₂(aq) + CO₂(g) + H₂O(l) │
└────────────────────────────────────────────────────────┘
✅ Required Entries
- Bottom Box: CaCl₂(aq) + CO₂(g) + H₂O(l) (all formulas and state symbols must be completely correct).
- Left Arrow: Arrow pointing downwards from CaCO₃(s) to the bottom box, labelled with + 2HCl(aq) (or + 2HCl and/or ΔrH₂).
❌ Common Errors
- Omitting state symbols in the bottom box (costing M1).
- Forgetting that CO₂(g) passes straight down on the right-hand side, so it must appear in the bottom box alongside CaCl₂(aq) and H₂O(l).
- Pointing the left arrow upwards instead of downwards.
Part (b)(v) — Calculating ΔrH₁ (Decomposition Enthalpy)
1 Mark
📐 Hess's Law Route
Following the arrows from CaCO₃(s) to the bottom box:
ΔrH₁ + ΔrH₃ = ΔrH₂
ΔrH₁ = ΔrH₂ − ΔrH₃
ΔrH₁ = (−16.8) − (−176.3) = +159.5 kJ mol⁻¹
Answer: +159.5 kJ mol⁻¹ (allow +160 kJ mol⁻¹ or TE from b(iii)).
Part (c)(i) — Deducing Feasibility at 298 K
3 Marks
📐 Calculation of ΔS⦵system and ΔG⦵
Step 1: Calculate entropy change of system
ΔS⦵system = ΣS⦵(products) − ΣS⦵(reactants)
ΔS⦵system = [S⦵(CaO) + S⦵(CO₂)] − S⦵(CaCO₃)
ΔS⦵system = (39.7 + 213.6) − 92.9 = +160.4 J K⁻¹ mol⁻¹ (= +0.1604 kJ K⁻¹ mol⁻¹)
Step 2: Calculate Gibbs Free Energy change (ΔG⦵) at 298 K
ΔG⦵ = ΔH⦵ − TΔS⦵system
ΔG⦵ = +178.2 − (298 × 0.1604) = +178.2 − 47.799 = +130.4 kJ mol⁻¹ (or +130 400 J mol⁻¹)
Step 3: State conclusion regarding feasibility
Because ΔG > 0 (positive), the reaction is not feasible at 298 K.
❌ Unit Inconsistency Trap
ΔH is given in kJ mol⁻¹, while ΔS is in J K⁻¹ mol⁻¹! You must divide ΔS by 1000 to convert to kJ K⁻¹ mol⁻¹ before substituting into ΔG = ΔH − TΔS.
🧠 Alternative Method (ΔStotal)
ΔSsurroundings = −ΔH / T = −178200 / 298 = −597.99 J K⁻¹ mol⁻¹
ΔStotal = 160.4 − 597.99 = −437.59 J K⁻¹ mol⁻¹
Since ΔStotal is negative, the reaction is not feasible.
Part (c)(ii) — Minimum Temperature for Decomposition in °C
2 Marks
📐 Step-by-Step Temperature Calculation
- Set ΔG = 0 for the threshold of feasibility:
0 = ΔH − TΔS ⟹ T = ΔH / ΔS - Calculate T in Kelvin:
T = (178.2 × 1000) / 160.4 = 1111 K (or 1110.97 K) - Convert Kelvin to Celsius:
Temperature in °C = 1111 − 273 = 838 °C (using unrounded gives 837.97 − 273 = 837 °C)
❌ Common Errors
- Forgetting to convert to °C: Leaving the answer as 1111 loses the final mark. The question explicitly demands °C.
- Significant figure penalty: Giving 840 °C (2 s.f.) is explicitly penalized in the mark scheme. The question asks for 3 significant figures (838 °C or 837 °C).
Part (d) — Thermal Stability of MgCO₃ vs CaCO₃
3 Marks
✅ Model 3-Mark Answer
- The Mg²⁺ ion is smaller than the Ca²⁺ ion (has a smaller ionic radius / higher charge density).
- The Mg²⁺ ion polarises the carbonate (CO₃²⁻) ion (or distorts its electron cloud) more strongly.
- This weakens the C−O bond within the carbonate ion to a greater extent, requiring less energy to break.
❌ Costly Examiner Penalties
- Saying "atom" instead of "ion": Referring to "magnesium atom" or "Mg" instead of the Mg²⁺ ion penalises M1 immediately!
- Confusing bond breaking: Saying the "ionic bond between Mg and CO₃ is weakened" is wrong. It is the covalent C−O bond within the carbonate anion that is polarised and weakened.
- Shielding arguments alone: Simply stating "less shielding" without comparing ionic radius or charge density does not secure M1.
Topics
Physical Chemistry · Inorganic Chemistry · Core Practicals · Core Practical 8: Determine the enthalpy change of a reaction using Hess’s law · Topic 8: Energetics I · Topic 13: Energetics II · Topic 4: Inorganic Chemistry and the Periodic Table · Topic 5: Formulae, Equations and Amounts of Substance
Question and mark scheme from the Edexcel A-Level Chemistry examination, Paper 1, June 2025. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.