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Question

Three samples of the same gas A, B and C (γ=32) have equal volume initially. Now, the volume of each sample is doubled. For, A the process is adiabatic; for B, it is isobaric and for C, the process is isothermal. If the final pressure are equal for all the three samples, the ratio of their initial pressure is:

A
1:2:2
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B
22:1:2
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C
2:1:2
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D
2:2:1
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Solution

The correct option is B 22:1:2
For isobaric process, pressure will remain same, PB=P

For isothermal process, P1V1=P2V2PC×V=P×2V

So, PC=2P

For adiabatic process, PVγPAV1.5=P(2V)1.5

PA=22P

Therefore, PA:PB:PC=22:1:2

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