A Carnot refrigerator is a Carnot engine operated in the reverse direction. Here, heat QC is absorbed from a cold reservoir at temperature TC , work W is provided externally, and heat QH is given out to a hot reservoir at temperature TH .
The coefficient of performance of a Carnot refrigerator is

[Note: K is large if TH -TC is small. It means a large quantity of heat can be removed from the body at lower temperature to the body at higher temperature by doing small amount of work. K is small if TH – TC is large. It means a small quantity of heat can be removed from the body at lower temperature to the body at higher temperature even with large amount of work.]