Two fluid streams enter an adiabatic, steady$-$flow device: one stream $($A$)$ consists of a

fluid at $450.$ K and $0\mathrm{.}50$ MPa, with a flowrate of $121$ mol$/$s; the other stream $($B$)$ has the

same fluid, but at $300.$ K$,0\mathrm{.}75$ MPa and a flowrate of

$81\mathrm{.}3$ mol$/$s$.$ Furthermore, the device is connected to a shaft

for transferring energy as work. Finally, a single stream of

the same fluid exits the device at $500.$ K and $2\mathrm{.}0$ MPa.

Properties for the fluid are provided in the table below at

these and other temperatures and pressures.

a$)$ How much power is transferred through the shaft $($you need to indicate whether the

shaft power is leaving or entering the device$)?$

b$)$ What is the rate at which entropy is produced in this device?