Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 4 / 35A / b / i / Solution

At fixed volume, a reversible infinitesimal heating supplies $\delta Q_{\mathrm{rev}}=C_{V}dT$. Since entropy satisfies $dS=\delta Q_{\mathrm{rev}}/T$,

Solved by gpt-5.6-sol high.