A typical coal-fired power plant burns 290 metric tons of coal every hour to gen

Question

A typical coal-fired power plant burns 290 metric tons of coal every hour to generate 730 of electricity. . The density of coal is 1500 and its heat of combustion is 28 . 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.

Part A
Suppose the coal is piled up in a 14.0 13.0 room. How tall must the pile be to operate the plant for one day? ans is 25.5


Part B
What is the power plant's thermal efficiency?

Explanation / Answer

290 tons/1500 Kg
290,000kg/1,500kg/m^3=193.3 m^3 per hour
193.3*24 = 4,640 cubic meters/day
room has area of 182 square meters
4640/182

height of pile is 25.5 meters

B) plant generates 270 Mw. or 2.7E8 watts
2.7E8 watts * 3600 seconds in an hour is 9.72E11 joules per hour
plant burns 290,000kg/hr
290,000kg*2.8E7j/kg=8.12E12 joules

9.72E11/8.12E12 =.1197 * 100 is about 12% efficient

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