A Carnot (ideal) heat pump is to be used to heat a house and maintain it at 22°Cin winter. On a day when the average outdoor temperature remains at about 0°C,the house is estimated to lose heat at a rate of 65,000 kJ/h. If the heat pumpconsumes 6 kW of power while operating, determine:(a) how long the heat pump ran on that day(b) the total heating costs, assuming an average price of 11¢/kWh for electricity(c) the heating cost for the same day if an 85% efficient electric furnace is usedinstead of a heat pump.

Answered: A Carnot (ideal) heat pump is to be…

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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A heat pump with a COP of 3.2 is used to heat a perfectly sealed house (no air leaks). The entire mass within the house (air, furniture, etc.) is equivalent to 1200 kg of air. When running, the heat pump consumes electric power at a rate of 5 kW. The temperature of the house was 7°C when the heat pump was turned on. If heat transfer through the envelope of the house (walls, roof, etc.) is negligible, the length of time the heat pump must run to raise the temperature of the entire contents of the house to 22°C is (a) 13.5 min (b) 43.1 min (c) 138 min (d) 18.8 min (e) 808 min
By supplying energy to a house at a rate of 25,000 kJ/hr, a heat pump maintains the temperature of the dwelling at 20 C when the outside air is at -10 C. If electricity costs 8 cents per kW-hr, determine the minimum theoretical operating cost to heat the house for 24 hours. $1.97 O $1.37 $1.75 O $1.51 O$1.64
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heat pump with a coefficient of performance of 2.5 supplies energy to a house at a rate of 60,000 Btu/h. Determine (a) the electric pwer drawn by the heat pump and (b) the rate of heat absoption from the outside air.
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A thermal machine operates between 2 tanks at 800ºC and 20ºC; half of the power produced by this machine is used to drive a fully reversible heat pump that absorbs heat from the cold environment at 2ºC and transfers it to a house that is maintained at 22ºC. If the house loses heat at a rate of 62,000 kJ/hr, determine the minimum heat flux that must be supplied to the heat engine in kJ/hr. show step by step a) 11,565.3 kJ/hra. b) 8,406.8 KJ/hra c) 3,158.5 KJ/hra d) 6,110.9 KJ/hra d) N.A.
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A heat engine operates between two reservoirs at 800 and 20oC. Onehalf of the work output of the heat engine is used to drive a Carnot heatpump that removes heat from the cold surrounding at 2oC and transfersit to a house maintained at 22oC.If the house is losing heat at a rate of 62,000 kJ/h,Determine:a) The minimum rate of heat supply (kJ/h) to the heat enginerequired to keep the house at 22oC. b) The thermal efficiency of the heat engine, if the rate of heatsupply to the heat engine is 15,000 kJ/h. c) The total amount of entropy change of the surrounding by takinginto account both the heat engine and Carnot heat pump for the casesof i) and ii), respectively. d) The cyclic entropy change of the heat engine for the cases of i) andii), respectively.
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