$18\mathrm{.}54$

A $6-$L ideal gas with $\backslash (\backslash$gamma$=1\mathrm{.}5\backslash )$ is at $300$ K and $100$ kPa $.$ The gas is compressed adiabatically until its volume becomes $3\mathrm{.}7$ L $,$ then cooled at constant pressure back to $300$ K $,$ and finally allowed to expand isothermally to its original state. What is the net work $($J$)$ done on the gas during one cycle?