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The molar heat capacity at constant volume for a monatomic gas is

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a
(3/2)R
b
(5/2)R
c
(7/2)R
d
(9/2)R

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detailed solution

Correct option is A

For a monatomic gas, CV,m=(3/2)R

In a monoatomic gas, each atom has 3 degrees o freedoms. They are of translation type. They contribute to the heat capacity.
N atoms of a monoatomic gas has 3N degrees of freedom.
Hence,
CV=UT=32NKB=32nR
The molar heat capacity is CV,mn=32R

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