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We compute C

_{v}for gases using the idea of equipartition principle and degrees of freedom. In case of a diatomic molecule, there are minimum 3 degrees of freedom (at very low temperatures) and maximum 6 degrees of freedom one of them being vibrational (at high temperatures. Does it imply that C

_{v}can only have discrete values that correspond to (3/2)R , (5/2)R and (7/2)R? Is the value completely independent of the nature and the property of the atoms making the molecule?