A large food processing plant requires 3.5 kg/s of saturated or slightly superheated steam at 550 kPa, which is extracted from the turbine of a cogeneration plant. The boiler generates steam at 7 MPa, 540oC at a rate of 9 kg/s, and the condenser pressure is 14 kPa. Steam leaves the process heater as saturated liquid. It is then mixed with the feed water at the same pressure and this mixture is pumped to the boiler pressure. Assuming both the pumps and the turbine have adiabatic efficiencies of 86%, determine:
The net heat transfer rate to the working fluid passing through the steam generator and
The power output of the cogeneration plant.