A house is heated by an electric heat pump using the outside as the low temperature reservoir.

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A house is heated by an electric heat pump using the outside as the low temperature reservoir. For several different winter outdoor temperatures, estimate the percent savings in electricity if the house is kept at 68 F instead of 75 F. Assume that the house is losing energy to the outside directly proportional to the temperature difference as Q loss = K (TH - TL).
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Fundamentals of Thermodynamics

ISBN: 978-0471152323

6th edition

Authors: Richard E. Sonntag, Claus Borgnakke, Gordon J. Van Wylen

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