Assertion : $C_{P}$ is always greater than $C_{V}$ in gases. Reason: Work done at constant pressure is more than at constant volume.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.

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Assertion is correct but Reason is incorrect.

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Both Assertion and Reason are incorrect.

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
The work done at constant pressure $= \int n C_{P} d t = Q = \int n C_{V} d t + Δ U$
Thus, $C_{P} > C_{V}$

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