Given below are two statements: one is labelled as Assertion (A)...

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : For an ideal gas (\mathrm{C}_{\mathrm{p}}>\mathrm{C}_{\mathrm{v}}). Reason (R) : Work is done in expansion of the gas at constant pressure. In the light of the above statements, choose the most appropriate answer from the options given below:

Options

ABoth (A) and (R) are true and (R) is the correct explanation of (A).
BBoth (A) and (R) are true and (R) is NOT the correct explanation of (A).
C(A) is true but (R) is false.
D(A) is false but (R) is true.

Correct answer

A. Both (A) and (R) are true and (R) is the correct explanation of (A).

Step-by-step solution

\begin{aligned} & C_p-C_v=R \\ & C_p \Rightarrow Q=W+\Delta U \\ & C_v \Rightarrow Q=\Delta U \end{aligned}

) (in isobaric process)$

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