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25 April, 16:41

The performance of a heat pump degrades (i. e., its COP decreases) as the temperature of the heat source decreases. This makes using heat pumps at locations with severe weather conditions unattractive. Consider a house that is heated and maintained at 26°C by a heat pump during the winter. What is the maximum COP for the heat pump if heat is extracted the out door air at 10 C?

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  1. 25 April, 17:08
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    COP_max = 18.69

    Explanation:

    We are given;

    Heated space temperature; T_H = 26°C = 273K + 26 = 299K

    Temperature at which heat is extracted; T_L = 10°C = 273 + 10 = 283K

    Now the Coefficient of performance (COP) of a heat pump will be a maximum when the heat pump operates in a reversible manner. The COP of a reversible heat pump depends on the temperature limits in the cycle only and is determined by the formula;

    COP_max = 1 / (1 - (T_L/T_H))

    Thus,

    COP_max = 1 / (1 - (283/299))

    COP_max = 1 / (1 - 0.9465)

    COP_max = 1/0.0535 = 18.69
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