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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:
A
Both (A) and (R) are true and (R) is the correct explanation of (A)
B
(A) is false but (R) is true
C
(A) is true but (R) is false
D
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
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