 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-1/36a/c/solution

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

Extensivity makes

Φ (T, V, μ)

proportional to

V

. Comparing its differential

d Φ = - S d T - p d V - ⟨ N ⟩ d μ

with Euler scaling gives

Φ = - p V .

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