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JEE Mains · Physics · STD 11 - 11. thermodynamics

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 :

  1. A Both (A) and (R) are true and (R) is the correct explanation of (A)
  2. B Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
  3. C (A) is true but (R) is false
  4. D (A) is false but (R) is true
Verified Solution

Answer & Solution

Correct Answer

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

Step-by-step Solution

Detailed explanation

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