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Question

The molar specific heat of a gas as given from the kinetic theory is 52R. If it is not specified whether it is CP or CV, one could conclude that the molecules of the gas

A
Are definitely monoatomic
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B
Are definitely rigid diatomic
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C
Are definitely non-rigid diatomic
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D
Can be monoatomic or rigid diatomic
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Solution

The correct option is D Can be monoatomic or rigid diatomic
The value of CP is given as (f2+1)R
and that of CV is given as (f2)R
Hence the possible values of f for CP or CV to be 52R are 3,5 respectively.
The degrees of freedom for a monoatomic gas is 3.
The degrees of freedom for a rigid diatomic gas is 5.
Hence correct answer is option D.

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