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Previous, I proved that
$$\frac{T_2}{T_1}^{C_V/(C_p-C_V)}=\frac{V_1}{V_2}$$
I've been asked to derive a similar expression for a gas that obeys the equation of state
$$p=\frac{RT}{(\overline{V}-b)}$$
I started with the first law and made the assumption that
$$\mathrm dU=\frac{\partial{U}}{\p...