3. (3 pts) Knowing one fundamental relation, it is possible to find the others through equations of state. Consider the following fundamental relation for internal energy as a function S, V and N: U(S,V, N) (N2 exp V ) ( i) Determine Gibbs potential as a function of T, P, and N (i.e. a function that does not explicitly contain U, S or V). (aU Hint: take advantage of G = U + PV TS and T = COS: P= Lav SN ii) Determine the u, and S as a function of T, P, and N