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An ideal gas initially at a state (P1,V1) is allowed to expand isothermally to a state (P2, V2). Then the gas is compressed adiabatically to its initial volume V1. Let the final pressure be P3 and work done by the gas in thewhole process be W, then (A) P3>P1 and W (B)P3>P1 and W>0 (C) P3 0 (D) P3 Dont just tell me the answer but also tell me how to get the answer.

An ideal gas initially at a state (P1,V1) is allowed to expand isothermally to a state (P2, V2). Then the gas is compressed adiabatically to its initial volume V1. Let the final pressure be P3 and work done by the gas in thewhole process be W, then


(A) P3>P1 and W<0


(B)P3>P1 and W>0


(C) P30


(D) P3

Dont just tell me the answer but also tell me how to get the answer.

Grade:12

1 Answers

Abhishek Kumar
askIITians Faculty 255 Points
9 years ago
If you see the curve for both, adiabatic curve has higher slope. If we take the final volume to be equal to initial volume, we can see from the curve that area under isothermal is smaller, hence the work.

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