Consider a Carnot cycle executed in a closed system with $1\mathrm{.}100$ kg of air. The temperature limits of the cycle are $300$ and $1100$ K $,$ and

the minimum and maximum pressures that occur during the cycle are $20$ and $3000$ kPa $.$ Assuming constant specific heats, determine

the net work output per cycle. The properties of air at room temperature are c$\_($p$)=1\mathrm{.}005$k$($J$)/($k$)$g$*$K$,$c$\_($v$)=0\mathrm{.}718$k$($J$)/($k$)$g$*$K$,$R$=0\mathrm{.}287$k$($J$)/($k$)$g$*$K$,$ and k$=1\mathrm{.}4$

The net work output per cycle is kJ$.$