Verified Solution • 2025–26 Session moderate

QJEEM22Ph4ecd: JEE Main 2022 Physics - Class 11 JEEM22Ph4ecd Solution: Given below are two statements : Statement I : When amount of…

Given below are two statements :

Statement I : When $\mu$ amount of an ideal gas undergoes adiabatic change from state (P₁, V₁, T₁) to state (P₂, V₂, T₂), then work done is $W = {{\mu R({T_2} - {T_1})} \over {1 - \gamma }}$ , where $\gamma = {{{C_p}} \over {{C_v}}}$ and R = universal gas constant.

Statement II : In the above case, when work is done on the gas, the temperature of the gas would rise.

Choose the correct answer from the options given below :

Multiple Choice Options

A Both Statement I and Statement II are true.
B Both Statement I and Statement II are false.
C Statement I is true but Statement II is false.
D Statement I is false but Statement II is true.

Step-by-Step Verified Solution

$W = {{\mu R({T_2} - {T_1})} \over {1 - r}}$ for a polytropic process for adiabatic process r = $\gamma$

$\Rightarrow$ Statement I is true.

In an adiabatic process

$\Delta$ U = $-$ $\Delta$ W

$\Rightarrow$ If work is done on the gas

$\Rightarrow$ $\Delta$ W is negative

$\Rightarrow$ $\Delta$ U is positive or temperature increases

$\Rightarrow$ Statement II is true

Related Learning Resources & Exam Preparation

JEE Main PYQ Question Bank

Browse year-wise authentic previous years' questions with solutions

Authentic CBT Mock Tests

Simulate official exam environment with live timer and percentile scoring