A thermodynamic system is taken through a cycle $a o b o c o d o a$. The coordinates of the

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A thermodynamic system is taken through a cycle $a 	o b 	o c 	o d 	o a$. The coordinates of the states in the $P-V$ diagram are $a(V_0, P_0)$, $b(2V_0, P_0)$, $c(2V_0, 2P_0)$, and $d(V_0, 2P_0)$. The work done by the gas along the path $c 	o d$ is

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(b) : Path $c 	o d$ is an isobaric process since the pressure remains constant at $2P_0$. The work done by the gas is given by $W = P \Delta V$. The volume changes from $2V_0$ at state $c$ to $V_0$ at state $d$. Thus, $W = 2P_0(V_0 - 2V_0) = -2P_0 V_0$.