$8\mathrm{.}33$ WP Water is the working fluid in an ideal regenerative Rankine cycle with one open feedwater heater. Superheated vapor enters the first$-$stage turbine at $16$MPa,$560C,$ and the condenser pressure is $8$ kPa $.$ The mass flow rate of steam entering the first$-$stage turbine is $120k\frac{g}{s}.$ Steam expands through the first$-$stage turbine to $1$ MPa where some of the steam is extracted and diverted to an open feedwater heater operating at $1$ MPa $.$ The remainder expands through the second$-$stage turbine to the condenser pressure of $8$ kPa $.$ Saturated liquid exits the feedwater heater at $1$ MPa $.$ Determine

a$.$ the net power developed, in kW$.$

$$

$1\mathrm{.}498{10}^5$

b$.$ the rate of heat transfer to the steam passing through the boiler, in kW$.$

$($

$3\mathrm{.}223{10}^5$

c$.$ the thermal efficiency.

$$

$46\mathrm{.}5\%$