3. At T =300K, Ibar of O'O in a Im box (lengths a.= ay = az = 1m) can be considered as an ideal gas. In that case, the average translational energy in each dimension for a molecule is given by: E=E =EKT 2 where k =1.38 x 10 "J/K is the Boltzmann constant. The average rotational energy about an axis perpendicular to the O=O bond is: EKT. 2 and the average vibrational energy is: E.=KT . Given that the fundamental vibrational frequency for "O"O is (=4.741 x 10"Hz, find the values of the quantum numbers n,, J, and u for an average "O"O molecule in this system