Consider an ideal Brayton cycle executed between the pressure limits of $1200$ kPa and $100$ kPa and temperature limits of $20C$ and $1000C$ with argon $(C_P=0\mathrm{.}5203k\frac{J}{k}g*K,C_r=0\mathrm{.}3122k\frac{J}{k}g*K)$ as the working fluid. The net work output of the cycle is

$($a$)68k\frac{J}{k}g$

$($b$)310k\frac{J}{k}g$

$($c$)93k\frac{J}{k}g$

$($d$)186k\frac{J}{k}g$

$($e$)158k\frac{J}{k}g$