JEE Main 2023PhysicsThermodynamicsMediumMCQ

JEE Main 2023 — Thermodynamics Question with Solution

JEE Main 2023 (10 Apr Shift 1)

Question

Consider two containers A and B containing monoatomic gases at the same Pressure P, Volume V and Temperature T. The gas in A is compressed isothermally to 18 of its original volume while the gas in B is compressed adiabatically to 18 of its original volume. The ratio of final pressure of gas in B to that of gas in A is

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Show full solutionCorrect option: B
Correct answer
B4

Step-by-step explanation

In an isothermal process the temperature is constant.

PV=nRT

So, it can be written that 

PV=PAV8⇒PA=8P

In an adiabatic process,

PVγ=constant

γ for monoatomic gas is 53

So, it can be written

PBP=VV853⇒PB=32P

Thus, the ratio of the pressures is 

PBPA=32P8P=4

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About this question

This is a previous-year question from JEE Main 2023, covering the Thermodynamics chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.