Question

# Assertion :It is convenient to define two specific heats $$C_{p}$$ and $$C_{v}$$ in case of a gas. however it is not generally necessary to define two specific heats in case of a solid or liquid. Reason: For a given temperature rise, the expansion of solid or liquid is negligible as compared to that of a gas.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
C
Assertion is correct but Reason is incorrect
D
Both Assertion and Reason are incorrect

Solution

## The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionIn the case of solid and liquid, a small change in temperature causes a negligible change in volume and pressure, hence the external work performed is negligible. In such cases, all the heat supplied to the solid or liquid is used for raising the temperature. Thus there is only one value of specific heat for solids and liquids.When gases are heated small change in temperature causes a considerable change in both the volume and pressure. Due to which the specific heat of gas can have any value in between 0 to infinity . Therefore to fix the values of specific heat of a gas either the volume or pressure is kept constant. Hence it is necessary to define two specific heats for gases.Option A is correct.Physics

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