(4) Electronic energy level of a hydrogen atom is given by R E ; n = n2 1, 2, 3,... and R = 13.6 eV. Each energy level has degeneracy 2n² (degeneracy is the number of equivalent configurations associated with the energy level). (a) Calculate the partition function Z for a hydrogen atom at a constant temperature. (b) Let us consider that the energy level of a hydrogen atom is approximated by a two level system, n = 1,2. Estimate the mean energy at 300 K.

(4) Electronic energy level of a hydrogen atom is given by R E ; n = n2 1, 2, 3,... and R = 13.6 eV. Each energy level has degeneracy 2n² (degeneracy is the number of equivalent configurations associated with the energy level). (a) Calculate the partition function Z for a hydrogen atom at a constant temperature. (b) Let us consider that the energy level of a hydrogen atom is approximated by a two level system, n = 1,2. Estimate the mean energy at 300 K.