A molecule has three degenerate excited vibrational states, each with excitation energy ? above the ground state.
a) At temperature T, what is the ratio between the number of molecules in (all of) these vibrational states and the number in the ground state?
b) At very high T, what is this ratio?
c) Assume you have N distinguishable molecules of this type. Use the free energy to compute entropy S/k of the system at temperature T
d) Compute the number of microstates in the equillibrium macrostate at high temperatures and explain why your answer makes sense.
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