A steady$-$flow adiabatic turbine $($expander$)$ accepts gas at conditions T$1,$ P$1,$ and

discharges at conditions T$2,$ P$2.$ Assuming ideal gases, determine $($per mole of gas$)$

W$,$ Wideal, Wlost, and SG for one of the following cases. Take T$\backslash$sigma $=300$ K$.$

$($a$)$ T$1=500$ K$,$ P$1=6$ bar, T$2=371$ K$,$ P$2=1\mathrm{.}2$ bar, CP$/$R $=7/2.$

$($b$)$ T$1=450$ K$,$ P$1=5$ bar, T$2=376$ K$,$ P$2=2$ bar, CP$/$R $=4.$

$($c$)$ T$1=525$ K$,$ P$1=10$ bar, T$2=458$ K$,$ P$2=3$ bar, CP$/$R $=11/2.$

$($d$)$ T$1=475$ K$,$ P$1=7$ bar, T$2=372$ K$,$ P$2=1\mathrm{.}5$ bar, CP$/$R $=9/2.$

$($e$)$ T$1=550$ K$,$ P$1=4$ bar, T$2=403$ K$,$ P$2=1\mathrm{.}2$ bar, CP$/$R $=5/2$