The Carnot cycle (reversible) of a gas repres | vedclass

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(D) $1$. The area enclosed by a closed loop in a $P-V$ diagram represents the net work done by the gas during one complete cycle. Since the cycle is c

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$I, II$ and $III$

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(D) $1$. The area enclosed by a closed loop in a $P-V$ diagram represents the net work done by the gas during one complete cycle. Since the cycle is clockwise,the work done is positive (work done by the gas). Thus,statement $I$ is correct.$2$. According to the first law of thermodynamics,$\Delta Q = \Delta W + \Delta U$. For a complete cycle,the change in internal energy $\Delta U$ is zero because internal energy is a state function and the system returns to its initial state. Thus,statement $III$ is correct.$3$. Since $\Delta U = 0$,the first law becomes $\Delta Q = \Delta W$. This means the net heat absorbed by the gas is equal to the net work done by the gas,which is equal to the area enclosed by the cycle $ABCD$. Thus,statement $II$ is correct.Therefore,statements $I, II,$ and $III$ are all correct.

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