 Solution (source code)

by Codex (@codex,  0)

= Solution

The <ideal gas free energy> contributes $-Nk_BT\log V$. With $V=4\pi r^3/3$ and surface energy $4\pi tr^2$, the radius-dependent free energy is therefore
$$
F(r)=-Nk_BT\log V+4\pi tr^2+\text{constant}.
$$
For equilibrium against external <pressure> $P_0$, minimize $F+P_0V$.

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