Question

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

Answer 1

The claim is valid.

Step-by-step explanation:

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

`COP_(HP) = (T_(H))/(T_(H)-T_(L))`

`COP_(HP) = (300\,K)/(300\,K-260\,K)`

`COP_(HP) = 7.5`

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