I have no idea to how I should proceed . Here is the question:

Dieterici's equation of state for gas is

$\displaystyle P(V-b)e^{\frac{a}{RVT}} = RT$

Where a, b, and R are constants. Regard volume V as a function of temperature T and pressure P and prove that

$\displaystyle \frac{\partial{V}}{\partial{T}} = \frac{(R+\frac{a}{TV})}{(\frac{RT}{V-b} - \frac{a}{V^2})}$