Answer:
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
