In Problem 3 , we express U as a function of T and V,U=U(T,V). Now suppose we want to express U=U(p,V). Based on Problem 3, obtain dU in these new pair of variables. The final expression should only contain the known thermodynamic quantities: p,V,CV,T, the expansion coefficient (Problem 4), and the isothermal compressibility T=V1(pV)T