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27 October, 22:33

a steam power plant has an average monthly net power delivery of 740 MW over the course of a year. This power delivery is accomplished by burning coal in the boiler. The coal has a heating value of 950 BTU/lbm. The cost of the coal is $14.20/ton. The overall thermal efficiency of the plant is,

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  1. 27 October, 22:37
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    A steam power plant has an average monthly net power delivery of 740 MW over the course of a year. This power delivery is accomplished by burning coal in the boiler. The coal has a heating value of 950 Btu/lbm. The cost of the coal is $14.20/ton. The overall thermal efficiency of the plant is, nth Wnet = 0.26 = 26% Oboiler Determine the annual cost of the coal required to deliver the given average monthly power.

    Answer:

    Cost of coal per year = 61336.6 * $14 = $858712.4

    Explanation:

    1mw = 3412141.16btu/hr

    Thermal efficiency = (qWnet/qboiler) = 0.26

    Monthly output = 740mw

    So there fore:

    qboiler = (740/0.26) = 2846.2mw

    Convert mw to but/hr

    Qboiler = 9711636159.6but/hr

    Heating value of coal = 950btu/lbm

    Pounds of coal used per month = 9711636159.6 / (950) = 10222774.9

    Total amount of coal per year = 12 * 10222774.9lb

    = 122673298.9lb

    Convert to tons

    61336.6tons

    So therefore

    Cost of coal per year = 61336.6 * $14 = $858712.4
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