OCR A-Level Chemistry AS Breadth in chemistry (01), November 2021: Question 22

10 marks · Medium difficulty · Structured Questions

Complete an enthalpy profile diagram for the reversible reaction of methane and steam, explain the effect of pressure and temperature on equilibrium yield using Le Chatelier's principle, and calculate the bond enthalpy of an H-H bond.

Practise this question

Question

An exam question about enthalpy changes involving the reversible reaction CH4(g) + H2O(g) = 3H2(g) + CO(g) with delta H = +206 kJ mol-1. Part a asks to complete an enthalpy profile diagram including activation energies and enthalpy change. Part b asks to explain how Le Chatelier's principle predicts conditions for maximum equilibrium yield. Part c provides a table of average bond enthalpies and asks to calculate the bond enthalpy of the H-H bond.
Question text

22 This question is about enthalpy changes.

Hydrogen, H2, can be manufactured by the reaction of methane and steam.

This is a reversible reaction, as shown in Equilibrium 22.1 below.

Equilibrium 22.1 CH (g) + H O(g) 3H (g) + CO(g) ∆H = +206 kJ mol–1

42 2

(a) The rate of this reaction increases when a catalyst is present.

Complete the enthalpy profile diagram below.

On your diagram:

• label the activation energies, Ea (without catalyst) and Ec (with catalyst)

• label the enthalpy change of reaction, ∆H.

enthalpy CH4(g) + H2O(g)

progress of reaction

[3]

(b) Explain how le Chatelier’s principle can be used to predict the conditions of pressure and

temperature for a maximum equilibrium yield of hydrogen in Equilibrium 22.1.

… [4]

(c) The reaction for the production of hydrogen is repeated below.

CH (g) + H O(g) 3H (g) + CO(g) ∆H = +206 kJ mol–1

42 2

Average bond enthalpies are shown in the table.

Average bond enthalpy

Bond –1

/ kJ mol

C–H 413

O–H 464

C≡O 1077

Calculate the bond enthalpy of the H–H bond.

bond enthalpy = … kJ mol–1 [3]

Mark scheme

Show the mark scheme The mark scheme provides expected answers for all three parts. Part a details the completed enthalpy profile curve with labels for products, Ea, Ec, and delta H. Part b outlines the correct Le Chatelier reasoning for pressure (more moles on right, lower pressure) and temperature (endothermic, higher temperature). Part c shows the calculation steps for finding the H-H bond enthalpy leading to an answer of +432 kJ mol-1.

AO

Question Answer Marks Guidance

element

22 (a) 3 AO1.1 ANNOTATE ANSWER WITH TICKS AND

×3 CROSSES ETC

-----------------------------------------------------------------

IGNORE state symbols.

∆H and products above reactants 1 mark ∆H label

3H2(g) + CO(g) on RHS IGNORE state symbols ALLOW arrow even if it has a small gap

AND at the top and bottom i.e. does not quite

∆H labelled with product above reactant reach reactant or product line

AND

∆H arrow upwards

Ea and Ec labels

Ea and Ec and curves 2 marks

ALLOW no arrowhead(s) at both ends of

ONE curve shown with arrow labelled Ea OR Ec

activation energy line

from reactants to top of curve

→ 1 mark

ALLOW double headed arrows

BUT DO NOT ALLOW arrowhead down

TWO curves shown with Ec arrow lower than Ea

AND each arrow from reactants to top of curve

Ea and Ec lines must point to maximum (or near

→ 2 marks to the maximum) on the curve

OR span approximately 80% of the distance

between reactants and maximum regardless of

position

AO

element

(b) 4 FULL ANNOTATIONS MUST BE USED

----------------------------------------------------------------

Pressure:

Right-hand side has more (gaseous) moles AO1.2 ALLOW suitable alternatives for right-hand side,

OR 2 (gaseous) moles form 4 (gaseous) moles e.g. towards H2/products OR forward direction

AO2.1 OR increases yield

Low pressure OR decrease pressure

For moles, ALLOW molecules/particles

Temperature:

(Forward) reaction is endothermic/∆H is positive AO1.2 ORA for reverse reaction, e.g.

OR (Forward) reaction takes in heat ALLOW reverse reaction is exothermic

AO2.1 /∆H is negative/gives out heat

High temperature OR increase temperature

AO

element

(c) FIRST, CHECK THE ANSWER ON ANSWER LINE 3 AO2.6 FULL ANNOTATIONS MUST BE USED

IF bond enthalpy = (+)432 (kJ mol–1) award 3 marks ×3 -----------------------------------------------------------------

----------------------------------------------------------------------

Energy for bonds broken ( 4 × C–H + 2 × O–H )

4 × 413 + 2 × 464

OR 1652 + 928

OR 2580 (kJ) IGNORE sign

H–H bond enthalpy correctly calculated

3 × H–H bond enthalpy = 2580 – 1077 – 206

= 1297 (kJ mol–1) IGNORE sign

1297 ALLOW ECF

H–H bond enthalpy =

= (+)432/432.3…. kJ mol–1 DO NOT ALLOW – sign

Mark is for answer ------------------------------------------------------

COMMON ERRORS

570/569.66 (Allow 6 or 7 at end) → 2 marks

2580 – 1077 + 206 = 1709

Wrong sign for 206

Then 1709/3 = 570

1150/1150.3… → 2 marks

2580 + 1077 – 206 = 3451

Wrong sign for 1077

= 1150

501 → 2 marks

2580 – 1077 = 1503

Missing 206

= 501

Total 10

How to answer it

Enthalpy Changes and Equilibria Study Guide

OCR AS Level Chemistry

What this question tests

This question assesses core physical chemistry concepts including enthalpy profile diagrams, activation energy, the effect of catalysts, Le Chatelier's principle applied to industrial equilibria, and calculations involving average bond enthalpies.

Part (a): Enthalpy Profile Diagrams

[3 Marks]

✅ Correct Answer Requirements

  • Products line 3H₂(g) + CO(g) drawn positioned above the reactants line (reflecting positive ΔH).
  • ΔH labelled clearly with an upwards arrow pointing from the reactant level to the product level.
  • Curves showing activation energies: Two curves or a single curve with two peaks. The peak for the catalysed reaction ( E_c ) must be lower than the uncatalysed reaction ( E_a ). Both arrows must originate from the reactants line.

💡 Key Knowledge

  • Endothermic reactions: Products have higher energy than reactants, giving a positive ΔH value ( +206 kJ mol⁻¹ ).
  • Catalysts: Provide an alternative reaction pathway with a lower activation energy ( E_c < E_a ).

🧠 Exam Technique

  • Draw your energy levels clearly using a ruler if sketching on paper. Make sure the product line is visibly higher than the reactant line.
  • Ensure activation energy arrows ( E_a and E_c ) start precisely from the reactant energy level and reach the apex of their respective curves.

❌ Common Errors

  • Drawing products lower than reactants for an endothermic reaction.
  • Starting the activation energy arrow from the bottom axis or the product line instead of the reactant level.
  • Failing to show two distinct peaks or curves when comparing catalysed and uncatalysed pathways.
Mark breakdown: 1 mark for products above reactants and ΔH label/arrow; 2 marks for correct curves and E_a / E_c labelling.

Part (b): Le Chatelier's Principle & Equilibrium Conditions

[4 Marks]

✅ Correct Answer Requirements

  • Pressure reasoning: State that the right-hand side has more gaseous moles (4 moles) compared to the left-hand side (2 moles). Conclude that a low pressure (or decreasing pressure) shifts equilibrium to the right.
  • Temperature reasoning: State that the forward reaction is endothermic ( ΔH is positive ). Conclude that a high temperature (or increasing temperature) shifts equilibrium to the right.

💡 Key Knowledge

  • Le Chatelier's Principle: If a factor changing the conditions of a system in equilibrium is altered, the system shifts to counteract that change.
  • Count total moles of gas on each side of the balanced equation: CH₄ + H₂O (2 moles) ⇌ 3H₂ + CO (4 moles).

🧠 Exam Technique

  • Structure your answer into two distinct paragraphs or clear bullet points for Pressure and Temperature.
  • Always explicitly state both the condition change (e.g., "low pressure") and the reasoning (moles of gas / endothermic nature).

❌ Common Errors

  • Confusing the number of moles by ignoring stoichiometric coefficients (e.g., forgetting the 3 in front of H₂ ).
  • Stating that high pressure favours the side with more moles, getting the shift backwards.
Mark breakdown: 2 marks for pressure (moles statement + condition) and 2 marks for temperature (endothermic statement + condition).

Part (c): Bond Enthalpy Calculation

[3 Marks]

📐 Step-by-Step Calculation

Equation: CH₄(g) + H₂O(g) ⇌ 3H₂(g) + CO(g) with ΔH = +206 kJ mol⁻¹

  1. Calculate energy required to break bonds (Reactants):
    Bonds broken: 4 × (C–H) and 2 × (O–H)
    = (4 × 413) + (2 × 464) = 1652 + 928 = 2580 kJ
  2. Set up the enthalpy change equation:
    ΔH = Energy input (bonds broken) - Energy output (bonds formed)
    Bonds formed in products: 1 × (C≡O) and 3 × (H–H)
    +206 = 2580 - (1077 + 3 × (H–H))
  3. Rearrange to solve for the H–H bond enthalpy:
    3 × (H–H) = 2580 - 1077 - 206 = 1297 kJ
    H–H bond enthalpy = 1297 / 3 = 432.33... kJ mol⁻¹

💡 Key Knowledge & Guidance

  • Final Answer: +432 or 432.3 (Accept 432 or 433).
  • Sign convention: Examiners ignore sign on the final answer line as specified in the mark scheme, but standard bond enthalpies are positive values.
  • Error Carried Forward (ECF): If an arithmetic error occurs in step 1, subsequent steps following the correct method still pick up intermediate marks.

❌ Common Calculation Traps

  • Forgetting to multiply the C–H bond value by 4 and O–H by 2.
  • Subtracting ΔH instead of accounting for it properly in the rearrangement.
  • Dividing by the wrong number of moles of H–H bonds (must divide by 3).

🧠 Exam Technique

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  • Always show your working clearly line-by-line. Even if arithmetic slips occur, method marks are heavily rewarded.
  • Double-check stoichiometry from the balanced equation before multiplying bond values.
Mark breakdown: 1 mark for correct energy of bonds broken (2580 kJ), 1 mark for correct rearrangement/subtraction to find total H–H energy (1297 kJ), and 1 mark for the final divided value.

Topics

Module 3: Periodic table and energy · Module 5: Physical chemistry and transition elements · 3.2 Physical chemistry · 5.1 Rates, equilibrium and pH

Question and mark scheme from the OCR A-Level Chemistry examination, AS Breadth in chemistry (01), November 2021. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.