\[COP_R=\frac{Q_C}{W}\]
Variables
COPr[COP_R]refrigerator coefficient of performance (dimensionless)
Qc[Q_C]heat removed from the cold reservoir (J)
Wwork input (J)
Description
What is this formula?
The refrigerator coefficient of performance (COP) measures how effectively a refrigeration system removes heat from a cold space using a given amount of input work. A higher COP indicates a more efficient refrigeration process.
When to use it
Use this formula when evaluating refrigerators, freezers, air-conditioning systems, or refrigeration cycles where the cooling capacity and input work are known.
Example
Given:
Qc = 3000 J
W = 750 J
Formula:
COPR = Qc/W
Substitution:
COPR = 3000/750
Result:
COPR = 4.0
Applications
Domestic refrigerators, industrial refrigeration systems, air conditioning equipment, food preservation, cold storage facilities, and HVAC engineering.