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 the following case. Take T$\backslash$sigma $=300$ K and R $=8\mathrm{.}314$ J$$mol$1$K$1.$

T$1=480$ K$,$ P$1=8$ bar, T$2=384$ K$,$ P$2=1\mathrm{.}6$ bar, and CP$/$R $=10/2.$

W is

J$$mol$1.$

Wideal is

J$$mol$1.$

Wlost is

J$$mol$1.$

SG is

J$$mol$1$K$1.$