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(C) The work done in a $P-V$ diagram is given by the area under the curve.For process $AB$: The gas moves from $V = 2V_0$ to $V = V_0$ at constant pre

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$3\,{P_0}{V_0}$

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(C) The work done in a $P-V$ diagram is given by the area under the curve.For process $AB$: The gas moves from $V = 2V_0$ to $V = V_0$ at constant pressure $P = P_0$. Work $W_{AB} = P_0(V_0 - 2V_0) = -P_0V_0$.For process $BC$: The gas moves from $V = V_0$ to $V = V_0$ at constant volume. Work $W_{BC} = 0$.For process $CD$: The gas moves from $V = V_0$ to $V = 3V_0$ at constant pressure $P = 2P_0$. Work $W_{CD} = 2P_0(3V_0 - V_0) = 2P_0(2V_0) = 4P_0V_0$.The total work done $W_{ABCD} = W_{AB} + W_{BC} + W_{CD} = -P_0V_0 + 0 + 4P_0V_0 = 3P_0V_0$.

The $P-V$ diagram of an ideal gas is as shown in the figure. The work done by the gas in the process $ABCD$ is:

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