 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-4/35e/a/solution

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

From

d F = - S, d T - p, d V

, Maxwell gives

(\partial S / \partial V)_{T} = (\partial p / \partial T)_{V}

. With

d E = T, d S - p, d V

(\partial E / \partial V)_{T} = T (\partial p / \partial T)_{V} - p = T^{2} \partial_{T} (p / T) ∣_{V}

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