A steam power plant operates on the following cycle producing a net power of 25 MW. Steam enters the turbine at 16 MPa, 550oC and enters the condenser as saturated mixture at 10 kPa. Sub cooled liquid enters the pump at 9 kPa, 35oC and leaves at 17 MPa, which then enters the boiler at 16.8 MPa, 33oC and exits at 16.2 MPa, 575oC. If the isentropic efficiency of the turbine is 90% and that of the pump is 83%, determine
(a) The mass flow rate of steam and
(b) The mass flow rate of cooling water in the condenser in which temperature rises from 20oC to 30oC.