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A typical coal-fired power plant burns 350 metric tons of coal every hour to generate 720MW of electricity. 1 metric ton= 1000 kg. The density of coal is 1500 kg/m3 and its heat of combustion is 28 MJ/kg. Assume that all heat is transferred from the fuel to the boiler and that all the work done in spinning the turbine is transformed into electrical energy.
(a) Suppose the coal is piled up in a 15m × 13m room. How tall must the pile be to operate the plant for one day?
(b) What is the power plant's thermal efficiency?
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