Use statistical thermodynamics to derive an expression for the contribution to the molar heat capacity at constant volume of a diatomic molecule at a temperature of 298 K as a result of vibrational motion. Start by differentiating with respect to temperature the expression for the internal energy and substituting for the vibrational partition function. A) C_V,m=3/2 R B) C_V,m=5\/2 R C)C_V,m= R D) C_V,m=2 R

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The vibrational contribution to the molar heat capacity at constant volume for a diatomic molecule is R, as derived from the vibrational partition function and the internal energy expression.

Use Statistical Thermodynamics to Derive an Expression for the Contribution