Edexcel A-Level Chemistry AS Paper 2, June 2019: Question 3

13 marks · Medium difficulty · Calculations

Calculate enthalpy changes using definitions, reaction profile diagrams, Hess cycles, and mean bond enthalpies for various combustion and formation reactions.

Practise this question

Question

A three-part chemistry exam question about enthalpy changes. Part (a) asks to define standard enthalpy change of combustion, write a balanced equation with state symbols for octane, and complete a reaction profile diagram showing activation energy and enthalpy change. Part (b) provides a table of combustion data for C(s), H2(g), and CH4(g) and requires completing a Hess cycle to calculate an enthalpy change. Part (c) gives formation equations from gaseous atoms for methane and propane and asks to calculate the mean C-H and C-C bond enthalpies.
Question text

3 This question is about enthalpy changes.

(a) (i) State what is meant by the term ‘standard enthalpy change of combustion’.

(2)

(ii) Write the equation, including state symbols, for the reaction that occurs when

the standard enthalpy change of combustion of octane, C8H18(l), is measured.

(2)

(iii) The standard enthalpy change of combustion of octane is –5 470 kJ mol–1.

Complete the reaction profile diagram for the combustion of octane.

Include labels showing the standard enthalpy change of combustion, ǻcH ,

and the activation energy, Ea.

(2)

enthalpy reactants

/ kJ mol–1

progress of reaction

(b) Enthalpy changes of reactions which cannot be measured directly can be*P55611A0628*

calculated using standard enthalpy changes of combustion.

The table shows some of these values.

9 −1

Substance ǻcH / kJ mol

C(s) −394

H2(g) −286

CH4(g) −890

Complete the Hess cycle and use it to calculate the standard enthalpy change for

the following reaction.

(4)

C(s) + 2H2(g) → CH4(g)

(c) The equations for the combination of gaseous atoms of carbon and hydrogen to

form methane, CH4, and propane, C3H8, are

C(g) + 4H(g) → CH (g) ǻH = −1652 kJ mol−1

3C(g) + 8H(g) → C H (g) ǻH = −3998 kJ mol−1

Calculate:

(i) the mean bond enthalpy of a C−−H bond.

(1)

(ii) the mean bond enthalpy of a C−−C bond.

(2)

*P55611A0728*

(Total for Question 3 = 13 marks)

Mark scheme

Show the mark scheme The mark scheme providing answers and guidance for all parts of Question 3. It details acceptable definitions, balanced equations, the correct reaction profile with labelled arrows for Ea and delta H, the completed Hess cycle calculation showing the breakdown of combustion values, and calculations for mean C-H and C-C bond enthalpies.

How to answer it

Enthalpy Changes & Thermochemistry Study Guide

What this question tests

This question assesses core energetics concepts at AS Level: defining standard enthalpy changes of combustion, writing balanced thermochemical equations with state symbols, interpreting reaction profile diagrams with activation energy, constructing Hess's cycles using combustion data, and calculating mean bond enthalpies from atomisation/combination data.

Question 3 (a) (i) • Definitions

Standard Enthalpy Change of Combustion

✅ Correct Answer

The enthalpy change when one mole of a substance burns completely in excess oxygen (or fully combusts) under standard conditions (100 kPa and a stated temperature, usually 298 K).

💡 Key Knowledge

  • Key phrase 1: "one mole of a substance". Mentioning atoms instead of a substance loses the mark.
  • Key phrase 2: "burns completely in excess oxygen".
  • Key phrase 3: "standard conditions" (100 kPa / 1 bar and specified temperature).

❌ Common Errors

Students frequently lose the second mark by writing vague terms like "under rtp" or just "under standard conditions" without defining what those conditions (pressure/temperature) actually are.

Marks: 2
Question 3 (a) (ii) • Equations & State Symbols

Combustion Equation for Octane

✅ Correct Answer

C₈H₁₈(l) + 12.5O₂(g) → 8CO₂(g) + 9H₂O(l)

(Accept fractions like 25/2 O₂ to keep 1 mole of octane reacting).

🧠 Exam Technique

Because standard enthalpy of combustion requires 1 mole of the reactant, never scale up the equation to get whole numbers for oxygen if it means having 2 moles of C₈H₁₈. Fractions are completely acceptable and required here.

❌ Common Errors

Forgetting state symbols or misidentifying water as a gas ( g ) instead of liquid ( l ) under standard conditions will forfeit the state symbol mark.

Marks: 2
Question 3 (a) (iii) • Reaction Profiles

Reaction Profile for Octane Combustion

✅ Correct Answer

A reaction profile curve starting at reactants, rising smoothly to a peak (transition state), and falling down to products positioned at a significantly lower energy level than the reactants (exothermic).

💡 Key Knowledge

Label requirements:

  • An arrow for activation energy ( Eₐ ) pointing upwards from the reactants line to the absolute peak of the curve.
  • An arrow for enthalpy change ( ΔcH or -5470 kJ mol⁻¹ ) spanning vertically between the level of the reactants and the level of the products.

❌ Common Errors

Using double-headed arrows (arrows must have a single clear point), or drawing arrows that float in mid-air instead of clearly touching/starting directly on the reactant and product energy levels.

Marks: 2
Question 3 (b) • Hess Cycles & Calculations

Calculating Enthalpy Change from Combustion Data

📐 Step-by-Step Calculation

  1. Complete the Hess cycle: Place the combustion products ( CO₂(g) + 2H₂O(l) ) in the bottom box with downwards arrows pointing from both reactants and products towards them.
  2. Calculate Reactants Combustion ( ΔcH(reactants) ):
    (-394) + (2 × -286) = -966 kJ mol⁻¹
  3. Identify Products Combustion ( ΔcH(products) ):
    CH₄(g) combustion value given in table = -890 kJ mol⁻¹
  4. Apply Hess's Law:
    Δr_H = ΣΔcH(reactants) - ΣΔcH(products)
    = -966 - (-890) = -76 kJ mol⁻¹

🧠 Exam Technique & Signs

With combustion cycles, arrows go downwards towards combustion products. Follow the path: go with the reactant arrow (keep sign) and against the product arrow (reverse sign), or use the formula: Reactants minus Products .

Marks: 4
Question 3 (c) • Bond Enthalpies

Mean Bond Enthalpies of C—H and C—C Bonds

📐 Part (i): C—H Bond Enthalpy

Equation given: C(g) + 4H(g) → CH₄(g) has ΔH = -1652 kJ mol⁻¹

Methane contains 4 moles of C—H bonds formed.

Mean bond enthalpy = -1652 / 4 = +413 kJ mol⁻¹

📐 Part (ii): C—C Bond Enthalpy

Equation given: 3C(g) + 8H(g) → C₃H₈(g) has ΔH = -3998 kJ mol⁻¹

Propane (C₃H₈) contains 8 C—H bonds and 2 C—C bonds.

  1. Energy released by forming 8 C—H bonds:
    8 × (-413) = -3304 kJ mol⁻¹
  2. Subtract from total enthalpy to find remaining C—C energy:
    -3998 - (-3304) = -694 kJ mol⁻¹
  3. Divide by 2 for the two C—C bonds:
    -694 / 2 = -347 kJ mol⁻¹
  4. Express as a positive bond enthalpy value:
    +347 kJ mol⁻¹

❌ Common Errors & Signs

  • Sign convention: Bond enthalpies are always quoted as positive values because energy is required to break bonds (even though energy is released when they form). Leaving a negative sign loses the final mark.
  • Consequential error (TE): If you got part (i) wrong, examiners will apply error carried forward if your incorrect value is used consistently in part (ii).
Marks: 3 total (1 for c(i), 2 for c(ii))

Topics

Physical Chemistry · Topic 8: Energetics I

Question and mark scheme from the Edexcel A-Level Chemistry examination, AS Paper 2, June 2019. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.