A $0\mathrm{.}5-m^3$ piston$-$cylinder device contains nitrogen gas at $600$ kPa and $300$ K $.$ Now the gas is compressed isothermally to a volume of $0\mathrm{.}1m^3.$ The magnitude of the work done on the gas during the compression process is:

$($a$)720$ kJ

$($b$)483$ kJ

$($c$)240$ kJ

$($d$)175$ kJ

$($e$)143$ kJ