The Maxwell relation from the fundamental equations for U, H, F and G can be written as ( partial S partial V ) T =( partial P partial T ) V
Using Maxwell equation derive ( partial U partial V ) T for Vander Waals gas. (Hint: Start your derivation from dU = T * dS - PdV )
(p + (n * e ^ 2)/(p ^ 2))(V - nb) = nRT Van der Waals equation)