An atom in a solid has two energy levels: a ground state of degeneracy g and an excited state of de- generacy 92 at an energy A above the ground state. Show that the partition function Zatom is Zatom = 91 +92e-4 (21.46) Show that the heat capacity of the atom is given by 91924e-34 C= (21.47) kT(9 +9e-4) A monatomic gas of such atoms has a partition function given by Z = Zatom ZN, (21.48) where ZN is the partition function due to the translational motion of the gas atoms and is given by ZN = (1/N!) [V/AN. Show that the heat ca- pacity of such as gas is C = N [ kB + 91924e-34 KBT(91 +9e-4) 4]. (21.49)