The P-V diagram of an ideal gas is as shown. | vedclass

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(C) The work done in a $P-V$ diagram is given by the area under the curve.For process $AB$ (isobaric compression from $2V_0$ to $V_0$ at pressure $P_0

Vedclass · Accepted Answer

$3\,{P_0}{V_0}$

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

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

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