= 4. Suppose the fundamental relation of a pure simple substance is given as E(S,V, N) as/(NV), where a is a constant. a) Find T(S,V, N) and P(S,V, N) b) From part a), find S(T, V, N) and VT, P, N). c) Find the heat capacity at constant volume Cv (= (2E/BT)vn) of this substance as as a function of T,V, N. Hint: Cv = T(as/OT),n. d) Find the isentropic (or adiabatic) compressibility ks = -V-av/aP)s.n) of this sub- stance as a function of T, P, N