Problem 2.59

For a Van der Waals gas find: (a) the equation of the adiabatic curve in the variables $T, V$ ; (b) the difference of the molar heat capacities $C_{p}-C_{V}$ as a function of $T$ and $V$ .

Reveal Answer

\begin{aligned} &\text { 2.59. (a) } T(V-b)^{R / C_{V}}=\text { const; }\\ &\text { (b) } C_{p}-C_{V}=\frac{R}{1-2 a(V-b)^{2} / R T V^{3}} \text { . } \end{aligned}

First law of thermodynamics, heat capacity