Water is the working fluid in a cogeneration cycle that generates electricity and provides heat for campus buildings. Steam at 2.5 MPa, 320oC, with a mass flow rate of 1 kg/s, expands through a two-stage turbine. Steam at 0.2 MPa is extracted with a mass flow rate of 0.3 kg/s between the two stages and provided for heating. The remaining steam expands through the second stage to the condenser at a pressure of 6 kPa. The condensate returns from the campus buildings at 0.1 MPa, 60oC and passes through a trap into the condenser. Each turbine stage has an isentropic efficiency of 80%. Determine
(a) The net heat transfer rate to the working fluid passing through the steam generator,
(b) the net power developed and
(c) The rate of heat transfer (Q⋅ ) for building heating.