Coefficient of Performance (Heat Pump)
Performance metric for heat pumps. COP_HP = COP_R + 1.
Variables
Derivation
COP_HP = Q_H/W. For Carnot: COP_HP = T_H/(T_H - T_C). Note: COP_HP = 1 + COP_R.
Your notes
Check value
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- QH = 3 J (Heat delivered)
- W = 2 J (Work input)
Result: COPHP = 1.5
Where this formula is listed
- Thermodynamics formulas, under Second Law, alongside Entropy Change, Heat Engine Efficiency and Clausius Inequality.
- In the thermodynamics list it comes after Coefficient of Performance (Refrigerator) and before Clausius Inequality.
- Thermodynamics formula sheet, one of 34 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Coefficient of Performance (Heat Pump) formula?
Coefficient of Performance (Heat Pump) is written COP_HP = Q_H/W = T_H/(T_H − T_C). Performance metric for heat pumps. COP_HP = COP_R + 1. It belongs to Thermodynamics, under Second Law.
What are the units in COP_HP = Q_H/W = T_H/(T_H − T_C)?
In SI units, COP_H P 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 COP_HP = Q_H/W = T_H/(T_H − T_C).