KTG & Thermodynamics | JEE Main solution

JEE MAIN 2025

24-01-2025 SHIFT-2

Question

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:

Select the correct option:

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

(A) is false but (R) is true

(A) is true but (R) is false

Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$T_{1} V_{1}^{\gamma-1}=T_{2} V_{2}^{\gamma-1}$
Temp increases ; R) Free expansion is assumed fast, so Adiabatic

Question Tags

JEE Main

Physics