Rearrange the van der Waals equation of state, p=nRT/(V – nb) – n²a/V², to give an expression for T as a function of p and V (with n constant). Calculate (∂T/∂p)_V and confirm that (∂T/∂p)_V =1/(∂p/∂T)_V . Go on to confirm Euler’s chain relation (Mathematical background 2).