The Fayette Power Station * is a coal-fired power plant located near La Grange, Texas and provides electric power for both the Houston and Austin metro areas. This power station has a nominal output power of 1,760 MW (electric), and has an approximate thermal efficiency of 40%. Heat is provided to the plant by combustion of coal, and the thermal sink for the plant is Lake Fayette, a manmade reservoir. Using the given data, determine the rate of heat rejection to Lake Fayette (MW).

Question

Physics

Derick Bennett

16 June, 21:07

The Fayette Power Station * is a coal-fired power plant located near La Grange, Texas and provides electric power for both the Houston and Austin metro areas. This power station has a nominal output power of 1,760 MW (electric), and has an approximate thermal efficiency of 40%. Heat is provided to the plant by combustion of coal, and the thermal sink for the plant is Lake Fayette, a manmade reservoir. Using the given data, determine the rate of heat rejection to Lake Fayette (MW).

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Isiah Dickson · Answer 1

2640 MW

Explanation:

The Heat rejection rate is the rate at which the heat energy get lost from a system to the environment

It is obtained by finding the difference in heat supplied and the work obtained from the system

Given

Efficiency = 40% = 0.4

Power produced/output = 1760MW

The expression for heat supplied rate is;

Qs=P/η

where P is power output and η is the efficiency

Qs=1760/0.4 = 4400MW

The expression for rate of heat rejection is given by;

Qr=Qs-P

where Qr is rate of heat rejection, Qs=4400 MW and P=1760MW

Qr = Qs-P

Qr=4400-1760 = 2640MW