Question

Given the # of microstates of a monatomic ideal gas, Omega=f(N)V^N(U^3N/2), Where f(N) is a function of N only. N,V, & U are the # of particles, the volume and internal energy of the system, respectively. (a) find the entropy as a function of N,V, &U; (b) Derive the equation for temperature T as a function internal energy U by the def. of temperature in terms of the derivative of entropy w/respect to the internal energy