Q.

An ideal monatomic gas with pressure P, volume V and temperature T is expanded isothermally to a volume 2V and a final pressure Pi. If the same gas is expanded adiabatically to a volume 2 V, the final pressure is Pa. The ratio PaPi is

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a

2-1/3

b

21/3

c

22/3

d

2-2/3

answer is D.

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Detailed Solution

For isothermal process: P V=Pi 2 V⇒P=2 Pi For adiabatic process PV53=Pa(2V)53⇒(2 Pi)V53=Pa(2V)53So, PaPi=2253⇒PaPi=2−23
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An ideal monatomic gas with pressure P, volume V and temperature T is expanded isothermally to a volume 2V and a final pressure Pi. If the same gas is expanded adiabatically to a volume 2 V, the final pressure is Pa. The ratio PaPi is