(20 pts.) For a hypothetical gas, the number of states below an energy of E is Q(E) = B[aN^2V^(-1 + E)][V - N]^N, where a, N, and B are constants. Assume N >>> 1. (a) Calculate the expression for the number of states Q(E, ΔE) between E and E + ΔE. (b) Calculate the internal energy E(V, T, N). Calculate the equation of state f(p, V, T, M). Calculate the chemical potential μ for this gas.