Verified Solution • 2025–26 Session moderate

QJEEM22Pha07a: JEE Main 2022 Physics - Class 11 JEEM22Pha07a Solution: A monoatomic gas performs a work of where Q is the heat…

A monoatomic gas performs a work of Q4{Q \over {4}} where Q is the heat supplied to it. The molar heat capacity of the gas will be ______________ R during this transformation. Where R is the gas constant.

Step-by-Step Verified Solution

By 1st law,

ΔU=ΔQ−ΔQ4=34ΔQ\Delta U = \Delta Q - {{\Delta Q} \over 4} = {3 \over 4}\Delta Q

⇒nCvΔT=34nCΔT\Rightarrow n{C_v}\Delta T = {3 \over 4}nC\Delta T

⇒C=4Cv3=2R\Rightarrow C = {{4{C_v}} \over 3} = 2R

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