An ideal Rankine cycle uses water as a working fluid, which circulates at a rate of 80 kg/s. The boiler pressure is 6 Mpa, and the condenser pressure is 10 kpa. The water enters the turbine at 600 C and leaves the condenser as a saturated liquid. Assume that the heat is transferred to the working fluid in the boiler from a reservoir at 1400 K and that the fluid in the condenser rejects heat to the surroundings at 25 C. Calculate the following quatities: (a) The power required to operate the pump; (b) The heat-input rate to the water in the boiler; (c) The power developed by the turbine.