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 question

Question

Multi-part question 3 totaling 18 marks. Part (a) asks why the enthalpy change of decomposition of calcium carbonate cannot be determined directly. Part (b) outlines an experiment reacting calcium carbonate with hydrochloric acid in a polystyrene cup, asking to complete data in a table, prove HCl is in excess, calculate the enthalpy change of reaction, complete a Hess's cycle diagram connecting CaCO3 and CaO + CO2 to aqueous products, and calculate the overall enthalpy change. Part (c) provides entropy values to deduce feasibility at 298 K using ΔG, and find the minimum temperature in degrees Celsius for decomposition. Part (d) asks to explain why magnesium carbonate decomposes at a lower temperature than calcium carbonate.

Mark scheme

Show the mark scheme Mark scheme for Question 3 detailing marking points: 3(a) states heat must be supplied or temperature change cannot be measured while heating; 3(b)(i) gives mass used 4.10 g and highest temperature 24.5 °C; 3(b)(ii) calculates moles of HCl (0.090 mol) vs required (0.082 mol); 3(b)(iii) calculates Q = 689.7 J and ΔH = -16.8 kJ/mol; 3(b)(iv) shows lower box containing CaCl2(aq) + CO2(g) + H2O(l) with left arrow labelled +2HCl; 3(b)(v) calculates +159.5 kJ/mol; 3(c)(i) calculates ΔS_system = +160.4 J/K/mol, ΔG = +130.4 kJ/mol (not feasible); 3(c)(ii) calculates T = 1111 K, giving 838 °C (or 837 °C); 3(d) awards marks for Mg2+ smaller ionic radius/higher charge density, polarizing the carbonate ion, and weakening the C-O bond.

How to answer it

Thermodynamics & Group 2: Decomposition of Carbonates

📋 What this question tests

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.
Mark allocation: [1 mark] for linking continuous heating to the inability to isolate and measure ΔT of the solid reactant.

Part (b)(i) — Completing Experimental Data Table

1 Mark

✅ Completed Values

MeasurementValue
Mass of weighing boat with calcium carbonate / g4.30
Mass of weighing boat after emptying out calcium carbonate / g0.20
Mass of calcium carbonate used / g4.10 (4.30 − 0.20)
Temperature at the start / °C19.0
Highest temperature / °C24.5 (19.0 + 5.5)
Temperature change / °C5.5
Mark allocation: [1 mark] for both 4.10 g and 24.5 °C correct.

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.

Mark allocation: M1: Correct calculation of 0.090 mol HCl. M2: Multiplication of 0.041 by 2 (or division of 0.090 by 2) followed by explicit comparison.

Part (b)(iii) — Calculating ΔrH₂ for Reaction 2

3 Marks

📐 Step-by-Step Enthalpy Calculation

  1. 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)
  2. Divide by moles of limiting reactant (CaCO₃):
    Enthalpy magnitude = 0.6897 kJ / 0.041 mol = 16.822 kJ mol⁻¹
  3. 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.

Mark allocation: M1: Heat release q = 689.7 J. M2: Dividing q by 0.041 mol. M3: Final answer with negative sign (−16.8 kJ mol⁻¹).

Part (b)(iv) — Completing the Hess's Law Cycle

2 Marks

Cycle Layout Description

           [ CaCO₃(s) ] ───────── ΔrH₁ ─────────▶ [ CaO(s) + CO₂(g) ]
                 │                                         │
  + 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.
Mark allocation: M1: Correct species and state symbols in bottom box. M2: Downward arrow on the left labelled "+ 2HCl(aq)".

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)).

Mark allocation: [1 mark] for correct calculation including sign (+159.5 kJ mol⁻¹).

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.

Mark allocation: M1: ΔS⦵system = +160.4 J K⁻¹ mol⁻¹. M2: ΔG = +130.4 kJ mol⁻¹ (or +130 kJ mol⁻¹). M3: Stating reaction is not feasible because ΔG is positive.

Part (c)(ii) — Minimum Temperature for Decomposition in °C

2 Marks

📐 Step-by-Step Temperature Calculation

  1. Set ΔG = 0 for the threshold of feasibility:
    0 = ΔH − TΔS ⟹ T = ΔH / ΔS
  2. Calculate T in Kelvin:
    T = (178.2 × 1000) / 160.4 = 1111 K (or 1110.97 K)
  3. 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).
Mark allocation: M1: Expression T = ΔH / ΔS and calculating T ≈ 1111 K. M2: Converting to Celsius and giving answer to 3 s.f. (838 °C or 837 °C).

Part (d) — Thermal Stability of MgCO₃ vs CaCO₃

3 Marks

✅ Model 3-Mark Answer

  1. The Mg²⁺ ion is smaller than the Ca²⁺ ion (has a smaller ionic radius / higher charge density).
  2. The Mg²⁺ ion polarises the carbonate (CO₃²⁻) ion (or distorts its electron cloud) more strongly.
  3. 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.
Mark allocation: M1: Mg²⁺ is smaller ion / has greater charge density. M2: Mg²⁺ polarises the carbonate ion / electron cloud more. M3: C−O bond within carbonate is weakened more.

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.