Problem $2$: Consider a steam power plant operating on th cycle with one open feedwater heater. Steam enters the turbine at $15$ MPa and $650C$ and is condensed in the condenser at a pressure of $12$ kPa $.$ Some of the steam leaves the turbine at a pressure of $0\mathrm{.}9$ MPa and enters the open feedwater heater. Neglect the work of both pumps.

$($a$)$ Draw the schematic layout of the plant and $($T$-$S$)$ diagram.

$6$ marks

$($b$)$ Determine the fraction of steam extracted from the turbine.

$12$ marks

$($c$)$ The net power output of the power plant.

$3$ marks

$($d$)$ Calculate the thermal efficiency of the cycle.

$4$ marks