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Physics Thermodynamics JEE Main 2023 MCQ (Single Correct)

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 of its original volume while the gas in B is compressed adiabatically to of its original volume. The ratio of final pressure of gas in B to that of gas in A is

A
8
B
4
C
D

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Text Solution

Verified by Experts
The correct answer is:
B

In an isothermal process the temperature is constant.

PV=nRT

So, it can be written that

P A = 8P

In an adiabatic process,

=constant

for monoatomic gas is

So, it can be written

P B = 32P

Thus, the ratio of the pressures is

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