# Using statistical mechanics it is straight forward to show the rotational

quantum number of the most populated rotational level is given by J_max=(kT/2hcB)^(1/2)-1/2 Where B is the rotational constant in wave numbers.

a) Calculate the moments of inertia for 12CH and 13CH given a bond length of 1.12 Å.

b) Using the above formula find the value of J closest to J_max for both radicals at 298K. Compute the energy difference between this state and the next highest state. Repeat for T = 1000K.

Please see attachments for detailed notations and lecture notes:)

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