Given:
T1=−73∘C=(−73+273)K=200K
and T2=527∘C=(527+273)K=800K
Therefore,
Vrms,2Vrms,1=M3RT2M3RT1=T2T1
=800200=21
Vrms,2=2Vrms,1
Hence,
Statement-I is true.
Now,
PV=nRT
But translational KE=23nRT
Hence, Statement-II is false.
JEE Main 2023 — Physics Thermodynamics
Given below are two statements:
Statement I: The temperature of a gas is −73∘C. When the gas is heated to 527∘C, the root mean square speed of the molecules is doubled.
Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below:
Held on 24 Jan 2023 · Verified 6 Jul 2026.
Both Statement I and Statement II are true
Statement I is true but Statement II is false
Both Statement I and Statement II are false
Statement I is false but Statement II is true
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