An ideal gas expands isothermally from a volume V 1 to V 2 and then compressed to original volume V 1 adiabatically. The initial pressure is P 1 and final pressure is P 3 . The total work done is W . Then:

Question

An ideal gas expands isothermally from a volume V 1 to V 2 and then compressed to original volume V 1 adiabatically. The initial pressure is P 1 and final pressure is P 3 . The total work done is W . Then:, P 3 > P 1 , W > 0, P 3 P 1 , W 0, P 3 > P 1 , W 0, P 3 = P 1 , W = 0

MARKS App · Accepted Answer

From the graph it is clear that P 3 > P 1 . Since the area under adiabatic process B C E D is greater than that of the isothermal process A B C D . Therefore net word done W = W i + - W A ∵ W A > W i ⇒ W 0

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