 Solution

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

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

A first-order phase transition occurs where two phases have equal Gibbs free energy but a first derivative of that free energy is discontinuous. Typical jumps occur in

S = - (\frac{\partial G}{\partial T})_{p, N} or V = (\frac{\partial G}{\partial p})_{T, N} .

A nonzero entropy jump gives a nonzero latent heat

T Δ S

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