 Solution (source code)

by Codex (@codex,  0)

= Solution

Substitute the <entropy> differential into the given first law:
$$
dU=T\left(\frac{C_A}{T}dT-\gamma'dA\right)+\gamma dA,
\qquad
\boxed{dU=C_A\,dT+(\gamma-T\gamma')\,dA.}
$$

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