A steam power plant operates on an ideal reheat regenerative Rankine cycle
with one reheater and two feedwater heaters, one open and one closed. Steam
enters the high-pressure turbine at \(15 \mathrm{MPa}\) and \(600^{\circ}
\mathrm{C}\) and the low-pressure turbine at 1 MPa and \(500^{\circ}
\mathrm{C}\). The condenser pressure is 5 kPa. Steam is extracted from the
turbine at \(0.6 \mathrm{MPa}\) for the closed feedwater heater and at 0.2 MPa
for the open feedwater heater. In the closed feedwater heater, the feedwater
is heated to the condensation temperature of the extracted steam. The
extracted steam leaves the closed feedwater heater as a saturated liquid,
which is subsequently throttled to the open feedwater heater. Show the cycle
on a \(T-s\) diagram with respect to saturation lines. Determine \((a)\) the
fraction of steam extracted from the turbine for the open feedwater heater,
\((b)\) the thermal efficiency of the cycle, and \((c)\) the net power output for
a mass flow rate of \(42 \mathrm{kg} / \mathrm{s}\) through the boiler