The contribution of molecular vibrations to the molar internal energy Um of a gas of nonlinear N-atom molecules is (zero-point vibrational energy not included)

Where us θs ‰¡ hvs/k and vs is the vibrational frequency of normal mode s. Calculate the contribution to Um, vib at 25oC of a normal mode with wavenum-er v ‰¡ vs/c of
(a) 900 cm-1;
(b) 300 cm-1;
(c) 2000 cm-1.

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3N-6