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

1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
3. Assertion is correct but Reason is incorrect.
4. Both Assertion and Reason are incorrect.

Correct answer: Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.

Solution

For a gas, heating at constant pressure causes expansion, so some supplied heat is used to do work in addition to raising temperature. At constant volume, no work is done, so less heat is needed; therefore \(C_P > C_V\), and the reason correctly explains the assertion.

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