A heat pump operating at steady state maintains a dwelling at 23°C on a day when the outside temperature is -2°C. Energy is loss by heat transfer from the dwelling at a rate of 22000 J/s while the heat pump's power input is 5kW. ● a) Determine the coefficient of performance of the heat pump.

A heat pump operating at steady state maintains a dwelling at 23°C on a day when the outside temperature is -2°C. Energy is loss by heat transfer from the dwelling at a rate of 22000 J/s while the heat pump's power input is 5kW. ● a) Determine the coefficient of performance of the heat pump.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A heat pump operating at steady state maintains a dwelling at 23°C on a day when the outside temperature is
-2°C. Energy is loss by heat transfer from the dwelling at a rate of 22000 J/s while the heat pump's power input
is 5kW.
a) Determine the coefficient of performance of the heat pump.
b) Determine the power input required if it was a Carnot heat pump.

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Step 1: To find COP of the heat pump and Power required, Given, The maintain temperature 23 C.

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Step 2: Solution for COP.

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Step 3: Solution for input power while the heat pump obey the reversible Carnot cycles.

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