6-44. In this problem, we'll calculate the fraction of diatomic molecules in a particular ro- tational level at a temperature 7 using the rigid-rotator approximation. A fundamental equation of physical chemistry is the Boltzmann distribution, which says that the number of molecules with an energy E, is proportional to e-1/BY, where ke is the Boltzmann constant and T is the kelvin temperature. Furthermore, because the degeneracy of the /th rotational level is 2J + 1, we write N, o (2J + 1)e-BilkBT = (2J + De-BJ(J+1)/kBT or NJ = c(2J + De-BJ(J+D/KBT where c is a proportionality constant. Plot NJ / No versus J for H35CI (B = 10.60 cm -1) and 127135CI (B = 0.114 em ') at 300 K. Treating J as a continuous parameter, show that the value of J in the most populated rotational state is the nearest integer to Jmax = Calculate Jmax for H35CI (B = 10.60 cm-1) and 127135CI (B = 0.114 cm-') at 300 K