A Carnot heat pump is to be used to heat a house and maintain it at 25°C in winter. On a day when the average outdoor temperature remains at about 2°C, the house is estimated to lose heat at a rate of 55 000 kJ/h. If the heat pump consumes 4.8 kW of power while operating, determine: The COP, heat loss for the day, required work input

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.46P

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Question

Question 1

A Carnot heat pump is to be used to heat a house and maintain it at 25°C in winter. On a day when
the average outdoor temperature remains at about 2°C, the house is estimated
to lose heat at a rate of 55 000 kJ/h. If the heat pump consumes 4.8 kW of power while operating,
determine:
The COP, heat loss for the day, required work input, how long the heat pump ran on that day
The total heating costs, assuming an average price of R 2.35/kWh for electricity, and
The heating cost for the same day if resistance heating is used instead of a heat pump

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