Q$2.$ Consider a steam power plant with a specific power output of $1000$kJ$/$kg$.$ The steam leaves the boiler at

$850$kPa and $500$oC$,$ and the condenser operates at $3$kPa. The pump has an efficiency of $90\%.$ The flame side

of the furnace has a temperature of $1100$oC and air at $25$oC is used for cooling.

a$)$ Sketch the general cycle on a T$-$s diagram showing the cycle direction and all relevant pressure and

temperature values $($real and ideal$).$

b$)$ Determine the isentropic efficiency of the turbine.

c$)$ What is the phase description of the turbine outlet? Quantitatively justify your answer. Confirm if this

point was correctly represented in the diagram in a$)$ and redraw it if your initial assumption was

incorrect.

d$)$ What is the thermal efficiency of the cycle?

e$)$ Calculate the second law efficiency. Is the plant operating well?