Problem $2(50$ points$)$: Steam enters an adiabatic turbine at $8\mathrm{.}0$MPa,$550C,$ with a rate of $2\mathrm{.}5k\frac{g}{s},$ and leaves at $1\mathrm{.}2$MPa,$350C.$ The environment is at $27C.$

Part $1)$ Sketch the schematic of this problem; show the boundary of the system and all types of energy crossing the boundary. Write all known values.

Part $2)$ Determine the specific enthalpy and specific entropy at the inlet.

Part $3)$ Determine the specific enthalpy and specific entropy at the exit.

Part $4)$ Determine the heat transfer.

Part $5)$ Determine the rate of entropy generation.