A heat pump is used to meet the heating requirements of a house and maintain it at 20°C. On aday when the outdoor air temperature drops to 22°C, the house is estimated to lose heat at a rateof 80,000 k/h. If the heat pump under these conditions has a COP of 2.5, determine (a) thepower consumed by the heat pump and (b) the rate at which heat is absorbed from the coldoutdoor air.

Rate of heat loss = 80000 kJ/h Room temperature = 20 C Ambient air temperature = 22 C COP = 2.5

Answered: A heat pump is used to meet the heating…

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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A homeowner is trying to decide between a highefficiency natural gas furnace with an efficiency of 97 percent and a ground-source heat pump with a COP of 3.5. The unit costs of electricity and natural gas are $0.115/kWh and $0.75/therm (1 therm = 105,500 kJ). Determine which system will have a lower energy cost.
Determine the COP of a refrigerator that removes heat from the food compartment at a rate of 5250 kJ/h for each 1.25 kW of power it consumes. Also, determine the rate of heat rejection to the outside air.
An inventor designs a heat engine that operates between a high temperature reservoir of 800 K and a low temperature reservoir of 300 K with a heat transfer into the heat engine of 350 kW. It is claimed that 350 kW of heat is transferred to the low temperature reservoir. Is the inventor's design possible? Explain.
A heat pump maintains a dwelling at 68°F. When operating steadily, the power input to the heat pump is 7 hp, and the heat pump receives energy by heat transfer from 55°F well water at a rate of 500 Btu/min.(a) Determine the coefficient of performance.(b) Evaluating electricity at $0.08 per kW · h, determine the cost of electricity in a month when the heat pump operates for 300 hours.
To maintain a dwelling steadily at 68°F on a day when the outside temperature is 40°F, heating must be provided at an average rate of 300 Btu/min. Determine the electrical power required, in kW, to deliver the heating using: (a) electrical-resistance heating. (b) a heat pump whose coefficient of performance is 2.5, (c) a reversible heat pump operating between hot and cold reservoirs at 68°F and 40°F, respectively.

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