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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,

Respuesta :

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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