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6 March, 23:22

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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  1. 6 March, 23:38
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    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
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