An ideal gas $(4\mathrm{.}85$mol$)$ undergoes the cycle shown in the PV diagram, from $($a$)$ to $($b$)$ to $($c$),$ and back to $($a$).$ The process from $($a$)$ to $($b$)$ is an isothermal process. Lines that appear horizontal are horizontal, and lines that appear vertical are vertical. The temperature of the gas at state $($a$)$ is $436K,P_a=3\mathrm{.}32{10}^{5}Pa,$ and $P_b=1\mathrm{.}98{10}^{5}Pa.$ What is the net work done by the gas for the whole cycle, from state $($a$),$ and back to state $($a$)?$ Express your answer with the correct algebraic sign, and in J$.$