(a) At T = 293 K what are the relative Maxwell- Boltzmann factors for N2 molecules in the / = 0, / = 1, and / = 2 states? Use I = 1.4 × 10-46 kg . m2. (b) Use your answer to (a) along with the fact that there is also a degeneracy factor of 2/ + 1 on the /th angular momentum level to find the relative populations of the / = 0, / = 1, and / = 2 states of N2 at room temperature. (c) Explain why the 2/ = 1 degeneracy factor is more important for lower rotational states, but the Maxwell-Boltzmann factor dominates for higher states.
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