A) Consider a system of distinguishable particles having only two non-degenerate energy levels separated by an energy that is equal to the value of kT at 10 K. Calculate: (a) the ratio of populations in the two states at: (1) 1.0 K, (2) 10 K, and (3) 100 K; (b) the molecular partition function at 10 K; (c) the molar energy at 10 K; (d) the molar heat capacity at 10 K; (e) the molar entropy at 10 K.