Carnot efficiency and COP calculator

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Result

Carnot efficiency55.71 %
Maximum COP, refrigerator0.7951
Maximum COP, heat pump1.795

Step-by-step solution

Absolute temperatures

TH = 673.1 K, TL = 298.1 K

Second-law limits

η = 1 − TL/TH = 55.71%
COPR = TL/(TH − TL) = 0.7951
COPHP = TH/(TH − TL) = 1.795

Key formulas

Efficiency
η = W/QH = 1 − QC/QH
Carnot efficiency
ηC = 1 − TC/TH (kelvin)
Refrigerator COP
COPR = QC/W
Heat pump COP
COPHP = QH/W = COPR + 1
Energy balance
QH = W + QC

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