A 1GWe power plant with a heat rate of 8600 9000 9400 9800 1

A 1-GW_e power plant with a heat rate of [8600; 9000; 9400, 9800, 10.200] Btu/kWh operates at full power for a period of 1 day. Find (a) the mass of coal, in short tons per day, and (b) the volume of oil, in barrels per day, required for operation at full power. Assume that the energy content (heating value) of the coal is [25,000; 26, 400; 27, 800; 29, 200; 30, 600] kJ/kg, and that of the oil is [138,000; 139, 500; 141,000; 142, 500; 144,000)] kJ/gal. There are 42 gal of petroleum per barrel. Also, determine (c) the actual mass of fuel, in grams of matter, that is actually converted into energy for each day of full-power operation.

Solution

Power Plant capacity 1000000 kW BTU/kW-Hr 8600 9000 9400 9800 10200 kW-Hrs per day 24000000 24000000 24000000 24000000 24000000 BTU required per day 2.064E+11 2.16E+11 2.256E+11 2.352E+11 2.448E+11 kJ required per day 2.17752E+11 2.279E+11 2.38E+11 2.481E+11 2.583E+11 Heating value of coal (kJ/kg) 25000 26400 27800 29200 30600 Coal Weight required (kg per day) 8710080 8631818.2 8561438.8 8497808.2 8440000 1 short ton = 907.185 kg Coal weight required (short tons per day) 9601 9515 9437 9367 9304 Heating value of oil (kJ/gal) 138000 139500 141000 142500 144000 Oil required (gal per day) 1577913.043 1633548.4 1688000 1741305.3 1793500 1 Barrel = 42 gal Oil required (barrels per day) 37569 38894 40190 41460 42702