$3.[$Dahm $7-22]$ A compound has Tc $=800$ K$,$ Pc $=4\mathrm{.}5$ MPa, C

ig

P $=8$R$,$ and $\backslash$omega $=0\mathrm{.}25,$ and is well modeled

by the Peng$-$Robinson equation of state. $10$ mol$/$s of the compound enters a turbine in the vapor state

at T $=600$ K and P $=1$ MPa. It leaves at T $=450$ K and P $=0\mathrm{.}025$ bar, as a mixture with xV $=0\mathrm{.}97.$

$($a$)$ Determine the rate at which work is produced by the turbine.

$($b$)$ Determine the rate of entropy generation in the turbine.

$($c$)$ Determine the efficiency of the turbine.