Question

The first excited vibrational energy level of ditomic chlorine (Cl₂) is 558 cm⁻¹ above the ground state. Wavenumbers, the units in which vibrational frequencies are usually recorded, are effectively units of energy, with 1cm⁻¹=1.986445×10⁻²³J. 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.

A) Determine the average molar vibrational energy <Em.vib> for chlorine at 298 K.

B) Determine the population of the zero level for chlorine at 298 K.

C) Determine the population of the second level for chlorine at 298 K.

Answer 1