 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-4/35a/b/i/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

At fixed volume, a reversible infinitesimal heating supplies

δ Q_{rev} = C_{V} d T

. Since entropy satisfies

d S = δ Q_{rev} / T

Δ S = C_{V} \int_{T_{i}}^{T_{f}} \frac{d T}{T} = C_{V} lo g \frac{T _{f}}{T _{i}} .

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