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A geothermal heat pump with a coefficient of performance of 4.2 is capable of re

ID: 1623867 • Letter: A

Question

A geothermal heat pump with a coefficient of performance of 4.2 is capable of removing 500,000 Btu of heat over a 24-hour period. What is the power rating of this heat pump? 2. A GHP system utilizes thermal mass of the underground soil to cool/heat the building during summer/winter months. What are the maximum theoretical coefficients of performance for cooling and heating? Assume coldest and warmest outside air temperatures of -10degreeC, and 42degreeC, and that underground soil temperature remain essentially

Explanation / Answer

Coefficient of performance k=QH/W

W=QH /k

QH = 500000 btu =500000 * 1055.06 J

W= 500000*1055.06 /4.2

W= 1256.024 * 10^5 = 1.256024 * 10 ^8 J

Power of this heat pump= W/T

                                                = 1.256024 * 10 ^ 8 /(24*60*60)

                                                =1.453731 * 10^3 J/s

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