AQA A-Level Chemistry Paper 3, 2017: Question 32
1 mark · Medium difficulty · Multiple Choice
Determine the conditions under which an exothermic reaction with a negative entropy change is feasible.
Practise this questionQuestion
Question text
32 A reaction is exothermic and has a negative entropy change.
Which statement is correct?
[1 mark]
A The reaction is always feasible
B The reaction is feasible above a certain temperature
C The reaction is feasible below a certain temperature
D The reaction is never feasible
Mark scheme
Show the mark scheme
32 C
How to answer it
Temperature Dependence of Reaction Feasibility
What this question tests
This question assesses your ability to apply the Gibbs free energy relationship ( ΔG = ΔH - TΔS ) to predict the feasibility of a reaction given the signs of enthalpy change ( ΔH ) and entropy change ( ΔS ), and to determine how temperature alters feasibility.
Analysis & Evaluation
A reaction is exothermic and has a negative entropy change. Which statement is correct?
✅ Correct Answer: C
The reaction is feasible below a certain temperature
Mark Scheme: Award 1 mark for option C.
💡 Key Knowledge
- Feasibility condition: A reaction is feasible when ΔG ≤ 0 .
- Gibbs equation: ΔG = ΔH - TΔS .
- Exothermic: ΔH < 0 (negative).
- Entropy decrease: ΔS < 0 (negative).
- Since ΔS is negative, the term -TΔS becomes positive.
📐 Step-by-Step Derivation
- Substitute the signs into the Gibbs equation:
ΔG = (-ΔH) - T(-ΔS) = (-|ΔH|) + T|ΔS| - Analyze the competing terms:
- The ΔH term is favourable (negative, drives ΔG < 0 ).
- The -TΔS term is unfavourable (positive, drives ΔG > 0 ).
- Examine low vs. high temperatures:
- At low T: The value of TΔS is small, so the negative ΔH dominates. Therefore, ΔG < 0 (feasible).
- At high T: The positive T|ΔS| term becomes very large and outweighs ΔH . Thus, ΔG > 0 (not feasible).
- Conclusion: Feasibility is maintained only when T < ΔH / ΔS , meaning it is feasible below a certain temperature.
❌ Common Errors & Distractor Breakdown
- Option A (Always feasible): Only true if ΔH < 0 and ΔS > 0 , where ΔG is always negative at all temperatures.
- Option B (Feasible above a certain temperature): The opposite case! This applies to endothermic reactions with a positive entropy change ( ΔH > 0, ΔS > 0 ).
- Option D (Never feasible): Only true if ΔH > 0 and ΔS < 0 , where ΔG is always positive regardless of temperature.
🧠 Exam Technique & Examiner Insight
- Use Extreme Values: When solving these in multiple-choice, test extremes:
• Let T → 0 K : ΔG ≈ ΔH . Since ΔH is negative, ΔG is negative (feasible at low T).
• Let T → ∞ : -TΔS dominates. Since ΔS is negative, -TΔS is massively positive (not feasible at high T). - This immediate mental test rules out A, B, and D in under 15 seconds.
Topics
Physical Chemistry · 3.1.8 Thermodynamics
Question and mark scheme from the AQA A-Level Chemistry examination, Paper 3, 2017. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.