Answer:
Answered
Explanation:
COP is the coefficient of performance of refrigerator and Heat pump
COP of refrigerator is given by
cooling effect/work input = [tex]\frac{Q_L}{W_{in}}[/tex]
And for ideal refrigeration cycle
COP= [tex]\frac{T_L}{T_H-T_L}[/tex]
COP of heat pump is given by
Heating effect/ work input = [tex]\frac{Q_H}{W_{in}}[/tex]
And for ideal Heat pump cycle
COP= [tex]\frac{T_H}{T_H-T_L}[/tex]
Now, we can conclude that
[tex]COP_{HP}= COP_{R}+1[/tex]