A simple density of states Suppose that the number of microstates between energy E and E + Delta E of an isolated system of N particles in a volume V is given by g(E) Delta E = c(V - bN)^N [E + N^2 a/V]^3N/2 Delta E, where a, b, and c are constants. (a) Determine the entropy of the system as a function of E, V, and N. (b) Determine the temperature T as a function of E, V, and N. (c) Determine the energy in terms of T, V, and N. (d) What is the pressure as a function of T and rho = N/V?