Coefficient of performance

Heat Pump magic Science

Heat pumps don't create heat — they move it. Put in 1 kWh of electricity and this example delivers about 1.9–5.1 kWh of heat, depending on outdoor temperature, by pulling the rest from the outside air rather than breaking physics.

what this page reports
COP = QH W
Carnot ceiling
COP = TH TH−TC
outside air
indoor, 21°C

COP vs. outside air temperature

real heat pump Carnot ceiling gas furnace, 90%
Heating device
Outside air TC warmer TC → higher COP
−20°Ccolder outside · less free heat20°C
Efficiency
%
1× = fully paid for
delivered (paid) free (outside air) lost (waste)
Try

Coefficient of performance (COP) is heat delivered divided by electrical work: COP = QH/W, which can honestly exceed 1 because QH = W + QC — the extra comes from outside air, not from breaking energy conservation. The dashed line above is the Carnot ceiling, TH/(TH−TC) in kelvin — the best any heat pump could do, climbing without bound as outdoor and indoor temperature converge (hence the arrow where it runs off the top of the chart). The solid curve is a real machine, read off Daikin Quebec's published COP table (one product line, not a universal curve; the −20°C and +20°C ends extrapolate its nearest slope). Gas furnaces don't move ambient heat, so they sit flat near 90% — the rest is lost up the flue, shown above as the loss arrow when that device is selected. Electric resistance heaters are flatter still, pinned at exactly COP 1. Try all three from the toggle above. Indoor target fixed at 21°C throughout.

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How much outside air actually moves through it

A typical residential outdoor unit (around 3 tons / 10 kW of heating capacity) is sized to move roughly 350–400 CFM per ton across its fan and coil — about 1,000–1,500 CFM (1,700–2,550 m³/h) for that size of unit, per standard HVAC airflow sizing. That’s several living rooms’ worth of air, every single hour, just to have enough of it passing the coil to pull heat from.

How much heat is actually in that air

How big the heat exchanger has to be

The coil’s visible frontal area is modest — around 0.5–0.8 m², roughly the grille on the unit itself, based on typical outdoor unit dimensions. But the thin metal fins packed into that frontal area multiply the actual air-contact surface roughly 15–20×, a standard extended-surface design used across finned-coil heat exchangers — pushing the real heat-transfer area to somewhere around 8–15 m², the floor of a small bedroom, folded into a box you could carry. This is an order-of-magnitude estimate, not a manufacturer spec: exact fin density and tube layout vary by model.