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14 April, 21:05

A heat pump cycle whose coefficient of performance is 2.5 delivers energy by heat transfer to a dwelling at a rate of 20kW.

(a) Determine the net power required to operate the heat pumpin kW.

(b) Evaluating electricity at $0.08 per kW*h, determine thecost of electricity in a month when the heat pump opearates for 200hours.

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  1. 15 April, 00:31
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    a) 8kW

    b) $128

    Explanation:

    Given the coefficient of performance of the heat pump cycle to be 2.5

    Energy delivered by the heat pump = 20kW

    a) net power required to operate the heat pump = Energy delivered / coefficient of performance

    Net power required = 20/2.5

    = 8kW

    b) Given the cost of electricity is $0.08 for 1kWhour

    Since net power required to operate heat pump = 8kW

    If the heat pump operate for 200hours, total power required for a month = 8kW*200hours = 1600kWhour

    since 1kWh of electricity costs $0.08, cost of electricity used in a month when the pump operates for 200hour will be 1600kWh*$0.08 which is equivalent to $128
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