A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of 800 cm 3 and temperature 27 ° C . The change in temperature when the gas is adiabatically compressed to 200 cm 3 is : (Take γ=1.5 ; γ is the ratio of specific heats at constant pressure and at constant volume)

Physics · Thermodynamics

JEE Main 2025 — 3 April, Morning Shift — Question 58

A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of $800 \mathrm{~cm}^{3}$ and temperature $27^{\circ} \mathrm{C}$ . The change in temperature when the gas is adiabatically compressed to $200 \mathrm{~cm}^{3}$ is : (Take $\gamma=1.5$ ; $\gamma$ is the ratio of specific heats at constant pressure and at constant volume)

Option A:
300 K
Correct
Option B:
522 K
Option C:
327 K
Option D:
600 K

Answer: A

Step-by-step solution

Being adiabatic process $P V^{\prime}=$ constant,

where $\gamma=$ 1.5 and also $T V^{-1}=$ constant

$300\{800\}^{0.5}=T\{200\}^{0.5}$

$T=300 \times 2=600 \mathrm{~K}$

$\Delta T=600-300=300 \mathrm{~K}$

Answer key and solution verified before publishing.

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Exam: JEE Main 2025
Paper: 3 April, Morning Shift
Subject: Physics
Chapter: Thermodynamics
Topic: Different Thermodynamic Processes

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Answer: A

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