Question $9$

A steam power plant operates on the reheat regenerative Rankine cycle with a closed feedwater heater. Steam enters the turbine at $12\mathrm{.}5$MPa and $550C$ at a rate of $24k\frac{g}{s}$ and is condensed in the condenser at a pressure of $20$kPa. Steam is reheated at $5$MPa to $550C.$ Some steam is extracted from the low$-$pressure turbine at $1\mathrm{.}0$ MPa, is completely condensed in the closed feedwater heater, and pumped to $12\mathrm{.}5$MPa before it mixes with the feedwater at the same pressure. Assuming an isentropic efficiency of $88$ percent for both the turbine and the pump, determine:

$($a$)$ the temperature of the steam at the inlet of the closed feedwater heater,

$($b$)$ the mass flow rate of the steam extracted from the turbine for the closed feedwater heater, $($c$)$ the net power output, and $($d$)$ the thermal efficiency.

Answers: $($a$)328C,($b$)4\mathrm{.}29k\frac{g}{s},($c$)28\mathrm{.}6MW,($d$)39\mathrm{.}3$ percent