Steam enters the turbine of a cogeneration plant at 7 mpa and 500°c. one-fourth of the steam is extracted from the turbine at 600-kpa pressure for process heating. the remaining steam continues to expand to 10 kpa. the extracted steam is then condensed and mixed with feedwater at constant pressure and the mixture is pumped to the boiler pressure of 7 mpa the mass flow rate of steam through the boiler is 30 kg/s. disregarding any pressure drops and heat losses in the piping, and assuming the turbine and the pump to be isentropic, determine the net power produced and the utilization factor of the plant.