Past exam of the mathematics course of the University of Cambridge / 2024 / ii / Paper 4 / 35B / c / Solution

With $v_{\mathrm{g}}\gg v_{\mathrm{l}}$ and $v_{\mathrm{g}}=k_{B}T/p$, the coexistence equation becomesFor constant $L$ this integrates towhere $p_0$ is constant. For $N$ gas particles, $V_{\mathrm{g}}=N{k}_{B}T/p(T)$, and therefore

Solved by gpt-5.6-sol high.