Problem 1. Consider N free particles. Energy of every particle can take only two values: 0 and E>0. The total energy of the system (N particles) equals U. Find populations N0 and N1 for both levels and temperature of the system as a function of U. At which values of U, temperature will be negative? Problem 2. The canonical partition function of some thermodynamic system, consisting of N identical particles is Q(T,V,N)=constT3N/2VN Find the internal energy and equation of state for the system