Question

Derive the COP of Carnot Refrigerator and Carnot heat Pump.

Answer 1

Answered

Step-by-step explanation:

COP is the coefficient of performance of refrigerator and Heat pump

COP of refrigerator is given by

cooling effect/work input =
`(Q_L)/(W_(in))`

And for ideal refrigeration cycle

COP=
`(T_L)/(T_H-T_L)`

COP of heat pump is given by

Heating effect/ work input =
`(Q_H)/(W_(in))`

And for ideal Heat pump cycle

COP=
`(T_H)/(T_H-T_L)`

Now, we can conclude that

`COP_(HP)= COP_(R)+1`