An advanced type supercritical power plant has turbine inlet steam at 7000 psia and 1400F, double reheat at 1600 psia and 400 psia, both to 1200F, and condenser at 1psia. The three turbine sections have polytropic efficiencies of 0.93, 0.91 and 0.89 in order of descending pressures. The pump has a polytropic efficiency of 0.75. The plant receives on unit train of coal daily, which is composed of 100 cars carrying 110 short tons each. The coal has a heating value of 11,000 Btus/lbm. The turbine generator combined mechanical and electrical efficiency is 0.90. The steam-generator efficiency is 0.87. 8% of the gross output is used to run plant auxiliaries. Ignoring, for simplicity, all steam-line pressure drops and all feed water heaters,
Calculate (a) the plant gross and net outputs, in megawatts,
(b) The plant cycle, gross and net efficiencies, and
(c) The cycle and station gross and net heat rates, in Btus per kilowatt hour.