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Long answer·Hard exam skill (4/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

For a reaction, k1=1.0×10−4 s−1k_1=1.0\times10^{-4}\,\mathrm{s^{-1}} at 300 K300\,\mathrm{K} and Ea=57.5 kJ mol−1E_a=57.5\,\mathrm{kJ\,mol^{-1}}. Estimate k2k_2 at 310 K310\,\mathrm{K}. Use R=8.314 J mol−1 K−1R=8.314\,\mathrm{J\,mol^{-1}\,K^{-1}} and take log⁡(k2/k1)≈0.323\log(k_2/k_1)\approx0.323.
Total: 4 marks

(a) Write the two-temperature Arrhenius expression. (1 mark)

(b) Find k2/k1k_2/k_1. (2 marks)

(c) Calculate k2k_2. (1 mark)

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cbse-chemistry-12.u3.t3-4.laq.004

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