A gas obeying
p(V – b) = RT
Has a heat capacity per mole, at constant volume, of Cv,
(a) Write down Maxwell’s relations, and use them to show that the internal energy U is a function only of T by finding (∂U/∂T)V, (∂U/∂V)T and hence also (∂U/∂p)T.
(b) Show that for an adiabatic expansion p(V – b)γ = constant, where γ is the ratio of principal heat capacities and Cp – Cv = R.