Problem 2.57

Find the work performed by one mole of a Van der Waals gas during its isothermal expansion from the volume $V_{1}$ to $V_{2}$ at a temperature $T$ .

\begin{aligned} &\text { 2.57. } A=R T \ln \frac{V_{2}-b}{V_{1}-b}+a\left(\frac{1}{V_{2}}-\frac{1}{V_{1}}\right), \text { where } a \text { and } b \text { are Van }\\ &\text { der Waals constants. } \end{aligned}

First law of thermodynamics, heat capacity