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

Correct answer: D. 300 K aligned & V_1=800 cm^3 V_2=200 cm^3 & T_1=300 K aligned for adiabatic aligned & TV^ γ-1 = const. & (300)(800)^ 1.5-1 =T_2(200)^ 1.5-1 & T_2=300[(800)/(200)]^ 0.5 =300 ×(2^2)^ 1 / 2 & T_2=600 K & Δ T=600-300=300 K aligned

JEE Main 20253 AprilMorning Shift

Exam: JEE Main
Year: 2025
Date: 3 April
Shift: Morning Shift
Subject: Physics
Chapter: Thermodynamics

JEE Main 2025 · 3 April · Morning Shift · Physics · Thermodynamics

A gas is kept in a container having walls which are thermally...

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)

Options

A327 K
B600 K
C522 K
D300 K

Correct answer

D. 300 K

Step-by-step solution

\begin{aligned}& \mathrm{V}_1=800 \mathrm{ cm}^3 \quad \mathrm{ V}_2=200 \mathrm{ cm}^3 \\ & \mathrm{ T}_1=300 \mathrm{ K}\end{aligned}

for adiabatic

\begin{aligned}& \mathrm{TV}^{\gamma-1}=\text{ const. } \\ & (300)(800)^{1.5-1}=\mathrm{T}_2(200)^{1.5-1} \\ & \mathrm{ T}_2=300\left[\frac{800}{200}\right]^{0.5}=300 \times\left(2^2\right)^{1 / 2} \\ & \mathrm{ T}_2=600 \mathrm{ K} \\ & \Delta \mathrm{ T}=600-300=300 \mathrm{ K}\end{aligned}

Practice Thermodynamics on Quantrex Academy →

More from Thermodynamics

A quasi-static cycle of a monoatomic ideal gas contains an isothermal process ( ab )… JEE Advanced 2026 As shown in the figure, five Carnot engines, each with efficiency η and same number of… JEE Advanced 2026 Ten moles of an ideal monoatomic gas, initially in state a at atmospheric pressure and… JEE Advanced 2026 One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston… JEE Main 2026 Initial pressure and volume of a monoatomic ideal gas are P and V . The change in… JEE Main 2026 A cylinder with adiabatic walls is closed at both ends and is divided into two… JEE Main 2026 Two closed vessels of same volume are joined through a narrow tube and both vessels are… JEE Main 2026 A certain gas is isothermally compressed to ((1)/(3))^ rd of its initial volume ( V_o = 3… JEE Main 2026 Full Thermodynamics list All JEE Main PYQs