Question

Derive the COP of Carnot Refrigerator and Carnot heat Pump.

Answer 1

Answer:

Answered

Explanation:

COP is the coefficient of performance of refrigerator and Heat pump

COP of refrigerator is given by

cooling effect/work input = $\frac{Q_L}{W_{in}}$

And for ideal refrigeration cycle

COP= $\frac{T_L}{T_H-T_L}$

COP of heat pump is given by

Heating effect/ work input = $\frac{Q_H}{W_{in}}$

And for ideal Heat pump cycle

COP= $\frac{T_H}{T_H-T_L}$

Now, we can conclude that

$COP_{HP}= COP_{R}+1$