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) : In an insulated container, a gas is adiabatically shrunk to half of its initial volume. The temperature of the gas decreases. Reason (R): Free expansion of an ideal gas is an irreversible and an adiabatic process. In the light of the above statements, choose the correct answer from the options given below :

Options

ABoth $(\mathbf{A})$ and $(\mathbf{R})$ are true but $(\mathbf{R})$ is NOT the correct explanation of $(\mathbf{A})$
B(A) is false but (R) is true
C(A) is true but (R) is false
DBoth $(\mathbf{A})$ and $(\mathbf{R})$ are true and $(\mathbf{R})$ is the correct explanation of $(\mathbf{A})$

Correct answer

B. (A) is false but (R) is true

Step-by-step solution

If the container is insulated then temperature is expected to increase in adiabatic compression. So (A) is wrong. And free expansion is irreversible and adiabatic process. So (R) is correct.

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