1) Consider a system of N distinguishable atoms fixed in a lattice each of which has m equally spaced energy levels: E1 = 0, E2 = ?, E3 = 2?, . . . , Em = (m ? 1)?.
(a) If the system is in thermodynamic equilibrium, what is the minimum energy per atom E/N of the system?
(b) If the system is in thermodynamic equilibrium, what is the maximum energy per atom E/N of the system?
(c) If the system is not required to be in thermodynamic equilibrium, what is the maximum energy per atom E/N of the system?