Thermodynamics
Coefficient of Performance (Refrigerator)
Performance metric for refrigerators.
Variables
COP_Runitless
COP (refrigerator)
Cooling per work
Q_CJ
Heat removed
Heat from cold reservoir
WJ
Work input
Work required
T_CK
Cold temperature
Cold reservoir temp
T_HK
Hot temperature
Hot reservoir temp
Derivation
COP = Q_C/W. For Carnot: COP = T_C/(T_H - T_C).
Your notes
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Common questions
What is the Coefficient of Performance (Refrigerator) formula?
Coefficient of Performance (Refrigerator) is written COPᵣ = Q_C/W = T_C/Tₕ - T_C. Performance metric for refrigerators. It belongs to Thermodynamics, under Second Law.
What are the units in COPᵣ = Q_C/W = T_C/Tₕ - T_C?
In SI units, COP_R is cop (refrigerator) (dimensionless); Q_C is heat removed, measured in kg·m²/s²; W is work input, measured in kg·m²/s²; T_C is cold temperature, measured in K; T_H is hot temperature, measured in K.
How is the Coefficient of Performance (Refrigerator) formula derived?
COP = Q_C/W. For Carnot: COP = T_C/(T_H - T_C). The result is COPᵣ = Q_C/W = T_C/Tₕ - T_C.