Q.

An ideal gas expands isothermally from a volume V1 to V2 and then compressed to original volume V1 adiabatically. Initial pressure is P1 and final pressure is P2. The total work done is W. Then

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a

P3 > P1, W > 0

b

P3 < P1, W < 0

c

P3 > P1, W < 0

d

P3 = P1, W = 0

answer is C.

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Detailed Solution

From graph it is clear that P3 > P1. Since area under adiabatic process (BCED) is greater than that of isothermal process (ABDE). Therefore net work doneW = Wi+(-Wa)   ∴ Wa > Wi ⇒ W < 0
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