The first excited vibrational energy level of diatomic chlo- rine (Cl2) is 558 cm^-1 above the ground state. Wave- numbers, the units in which vibrational frequencies are usually recorded, are effectively units of energy, with 1 cm ^-1 = 1.986445 X 10^-23 J. If every vibrational energy level is equally spaced, and has a degeneracy of 1, sum over the lowest 4 vibrational levels to obtain a vibrational partition function for chlorine. Required:
Determine the populations of each of the four levels at 298 K and the average molar vibrational energy (Em. vib) for chlorine at 298 K.