Q$9$ : An air$-$standard cycle is executed in a closed system with $\backslash ((0\mathrm{.}002\backslash$mathrm$\{$Kg$\})\backslash )$ of air, and it consists of the following three processes :

$1-2$ Isentropic compression from $(100$ KPa $)$ and $\backslash (\backslash$left$(27^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash$right$)\backslash )$ to $(700$ KPa $).$

$2-3\backslash (\backslash$mathrm$\{$P$\}=\backslash )$ constant heat addition to initial specific volume $.$

$3-1\backslash ($ v$=\backslash )$ constant heat rejection to initial state $.$

$($a$)$ Show the cycle on P$-$v and T$-$s diagram $.$

$($b$)$ Calculate the maximum temperature in the cycle. Answer $\backslash (\backslash$mathrm$\{$T$\}\_\{3\}=2100\backslash$mathrm$\{$~K$\}\backslash )$

$($c$)$ Determine the thermal efficiency. Answer $18\mathrm{.}5\backslash \%$