A sample of an ideal gas is taken through the cyclic process ABCA as… | JEE Main 2022 (28 Jun, Shift 2)

Q46JEE Main 2022 · 28 JUN · SHIFT 2Medium

P-V Diagrams & Cyclic Processes

A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure. It absorbs, 40 J of heat during the part AB, no heat during BC and rejects 60 J of heat during CA. A work of 50 J is done on the gas during the part BC. The internal energy of the gas at A is 1560 J. The workdone by the gas during the part CA is:

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Answer: (b)

For the cycle $\Delta U = 0$ , so $W_{net} = Q_{net} = 40 + 0 - 60 = -20$ J.
A to B is vertical (isochoric): $W_{AB} = 0$ . Work done on gas in BC is 50 J, so $W_{BC} = -50$ J.
$W_{CA} = -20 - 0 - (-50) = 30$ J
So the answer is (b) 30 J.

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