Thermodynamics
Coefficient of Performance (Heat Pump)
Performance metric for heat pumps. COP_HP = COP_R + 1.
Variables
COP_HPunitless
COP (heat pump)
Heating per work
Q_HJ
Heat delivered
Heat to hot reservoir
WJ
Work input
Work required
T_HK
Hot temperature
Hot reservoir temp
T_CK
Cold temperature
Cold reservoir temp
Derivation
COP_HP = Q_H/W. For Carnot: COP_HP = T_H/(T_H - T_C). Note: COP_HP = 1 + COP_R.
Your notes
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Common questions
What is the Coefficient of Performance (Heat Pump) formula?
Coefficient of Performance (Heat Pump) is written COPHP = Qₕ/W = Tₕ/Tₕ - T_C. Performance metric for heat pumps. COP_HP = COP_R + 1. It belongs to Thermodynamics, under Second Law.
What are the units in COPHP = Qₕ/W = Tₕ/Tₕ - T_C?
In SI units, COP_HP is cop (heat pump) (dimensionless); Q_H is heat delivered, measured in kg·m²/s²; W is work input, measured in kg·m²/s²; T_H is hot temperature, measured in K; T_C is cold temperature, measured in K.
How is the Coefficient of Performance (Heat Pump) formula derived?
COP_HP = Q_H/W. For Carnot: COP_HP = T_H/(T_H - T_C). Note: COP_HP = 1 + COP_R. The result is COPHP = Qₕ/W = Tₕ/Tₕ - T_C.