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Thermodynamics: An Engineering Approach | 8th Edition | ISBN: 9780073398174 | Authors: Yunus A. Cengel, Michael A. Boles
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A heat pump with a COP of 2.8 is used to heat an air-tight

Chapter 6, Problem 124P

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QUESTION:

Problem 124P

A heat pump with a COP of 2.8 is used to heat an air-tight house. When running, the heat pump consumes 5 kW of power. If the temperature in the house is 7°C when the heat pump is turned on, how long will it take for the heat pump to raise the temperature of the house to 22°C? Is this answer realistic or optimistic? Explain. Assume the entire mass within the house (air, furniture, etc.) is equivalent to 1500 kg of air.

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QUESTION:

Problem 124P

A heat pump with a COP of 2.8 is used to heat an air-tight house. When running, the heat pump consumes 5 kW of power. If the temperature in the house is 7°C when the heat pump is turned on, how long will it take for the heat pump to raise the temperature of the house to 22°C? Is this answer realistic or optimistic? Explain. Assume the entire mass within the house (air, furniture, etc.) is equivalent to 1500 kg of air.

ANSWER:

Step 1 of 2

Since the house is air-tight, the heat energy required to increase the temperature of the house is given by,

                                                             

For , ,  and ,

                                                           

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