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# if gas has n degree of freedom , then the ratio of principle specific heat of gases is

Asked by Sangeeta Mandal 20th October 2013, 11:42 PM
The question means to say that if a gas has n degrees of freedom, that is, it is free to move in n independent ways/axes without violating any constraints imposed on it, then what will be the ratio of specific heats of gas.

If a gas has n degrees of freedome, then the average energy of a molecule at temperature T is (n/2) kBT.

Thus, the internal energy of one mole of a gas is U = (n/2)kBTNA = (n/2)RT.

Thus, we have the specific heat of gas at constant volume and pressure as

Answered by Expert 21st October 2013, 9:35 AM
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