Question 79 of 190

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : With the increase in the pressure of an ideal gas, the volume falls off more rapidly in an isothermal process in comparison to the adiabatic process.

Reason (R) : In isothermal process, $\mathrm{PV}=$ constant, while in adiabatic process $\mathrm{PV}^\gamma=$ constant. Here $\gamma$ is the ratio of specific heats, P is the pressure and V is the volume of the ideal gas.

In the light of the above statements, choose the correct answer from the options given below :

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

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

$\left(\frac{\mathrm{dP}}{\mathrm{dV}}\right)_{\text {Adiabatic }}\gt \left(\frac{\mathrm{dP}}{\mathrm{dV}}\right)_{\text {Isothermal }}$