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A heat pump designer claims to have an air-source heat pump whose coefficient of performance is 1.8 when heating a building whose interior temperature is 300 K and when the atmospheric air surrounding the building is at 260 K. Is this claim valid

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xero099

Answer:

The claim is valid.

Explanation:

Let assume that heat pump is reversible. The coefficient of performance for the heat pump is:

[tex]COP_{HP} = \frac{T_{H}}{T_{H}-T_{L}}[/tex]

[tex]COP_{HP} = \frac{300\,K}{300\,K-260\,K}[/tex]

[tex]COP_{HP} = 7.5[/tex]

The claim is valid as real heat pumps have lower coefficients of performance.

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