ANSWERS GIVEN..... Energy System Question $-$ Please show full steps for good ratings!!

Q$4(20\%).$ Consider a regenerative vapor power cycle with one open feedwater heater. Steam

enters the turbine at $8\mathrm{.}0$MPa,$480^($@$)$C and expands to $0\mathrm{.}7$ MPa $,$ where some of the steam is

extracted and diverted to the open feedwater heater operating at $0\mathrm{.}7$ MPa $.$ The remaining steam

expands through the second$-$stage turbine to the condenser pressure of $0\mathrm{.}008$ MPa $.$ Saturated

liquid exits the open feedwater heater at $0\mathrm{.}7$ MPa $.$ The isentropic efficiency of each turbine stage

is $85\%$ and each pump operates isentropically$.$ If the net power output of the cycle is $100$ MW $,$

determine $($a$)$ the thermal efficiency and $($b$)$ the mass flow rate of steam entering the first turbine

stage, in kg$//$h$.$

ANSWERS: $37\%,3\mathrm{.}67$kg$//$h