The number of states is expressed as a function of various

Question

The number of states is expressed as a function of various parameters for three systems below. For each, find an "equation of state" which gives the relationship between p, V, N, and T.

(C and b are constants.)

a) Ω = Ce^bNV2(EV^)N

b) Ω = Π/2(2/h)^3N V^N/2 e^bNV E^2N,

c) Ω = Ce^(-b/V10)E^3N.