Calculate, by explicit summation, the vibrational partition function and the vibrational contribution to the molar internal energy

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Calculate, by explicit summation, the vibrational partition function and the vibrational contribution to the molar internal energy of is molecules at
(a) 100 K,
(b) 298 K given that its vibrational energy levels lie at the following wave numbers above the zero-point energy level: 0,213.30,425.39, 636.27,845.93 cm3. What proportion of, molecules are in the ground and first two excited levels at the two temperatures? Calculate the vibrational contribution to the molar entropy of 12 at the two temperatures.
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