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(C) From the $P-V$ graph,it is clear that the final pressure $P_3$ at volume $V_1$ is greater than the initial pressure $P_1$ at the same volume $V_1$

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$P_3 > P_1, W < 0$

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(C) From the $P-V$ graph,it is clear that the final pressure $P_3$ at volume $V_1$ is greater than the initial pressure $P_1$ at the same volume $V_1$,so $P_3 > P_1$.The work done in an isothermal expansion $(A \rightarrow B)$ is the area under the curve $AB$ with respect to the volume axis,which is positive $(W_{iso} > 0)$.The work done in an adiabatic compression $(B \rightarrow C)$ is the negative of the area under the curve $BC$ with respect to the volume axis,which is negative $(W_{adia} Since the adiabatic curve is steeper than the isothermal curve,the magnitude of the work done during adiabatic compression is greater than the work done during isothermal expansion $(|W_{adia}| > |W_{iso}|)$.Therefore,the net work done $W = W_{iso} + W_{adia}$ is negative,i.e.,$W < 0$.

An ideal gas expands isothermally from a volume $V_1$ to $V_2$ and then is compressed to the original volume $V_1$ adiabatically. The initial pressure is $P_1$ and the final pressure is $P_3$. If the total work done is $W$,then:

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