A typical coal-fired power plant generates 1000 MW of usablepower at an overall thermal efficiency of 40%. (a) What is the rateof heat input to the plant? (b) The plant burns anthracite coal, which hasa heat of combustion of 2.65 * 10^7 J/kg. How much coal does the plantuse per day, if it operates continuously? (c) At what rate is heat ejectedinto the cool reservoir, which is the nearby river? (d) The river is at18.0C before it reaches the power plant and 18.5C after it has receivedthe plant’s waste heat. Calculate the river’s flow rate, in cubic meters persecond. (e) By how much does the river’s entropy increase each second?

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A typical coal-fired power plant generates 1000 MW of usable
power at an overall thermal efficiency of 40%. (a) What is the rate
of heat input to the plant? (b) The plant burns anthracite coal, which has
a heat of combustion of 2.65 * 10^7 J/kg. How much coal does the plant
use per day, if it operates continuously? (c) At what rate is heat ejected
into the cool reservoir, which is the nearby river? (d) The river is at
18.0C before it reaches the power plant and 18.5C after it has received
the plant’s waste heat. Calculate the river’s flow rate, in cubic meters per
second. (e) By how much does the river’s entropy increase each second?

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