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Watts to BTU per hour

Convert watts to BTU per hour. Multiply by 3.4121, with air conditioner sizing tables and what a "ton" of cooling means.

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The formula

BTU/h = watts × 3.412141633

A BTU is 1055.05585262 joules, and an hour is 3600 seconds, so one BTU per hour is 0.29307107 watts. The reciprocal is the factor above.

Both are units of power. BTU/h is energy per unit time, exactly as a watt is; the “per hour” is what makes it comparable, and it is the part advertising leaves out.

Air conditioner sizing

This is the conversion’s job. Air conditioners are rated in BTU/h in the US, Hong Kong and much of Asia, and in kilowatts in Europe, Japan and Taiwan:

BTU/hkWSuits
50001.47small bedroom, ~10 m²
70002.05bedroom, ~14 m²
90002.64living room, ~18 m²
12,0003.52large room, ~25 m²
18,0005.28open-plan, ~35 m²
24,0007.03whole floor, ~45 m²
36,00010.55small commercial

Area guidance is rough — insulation, glazing, ceiling height, floor level and how much sun a room gets all move it, sometimes by half.

The “ton” of cooling

12,000 BTU/h = 1 ton of refrigeration = 3.517 kW.

The unit is literal: it is the rate of cooling produced by a ton of ice melting over 24 hours. It survives as a sizing convention in the US and in commercial HVAC:

TonsBTU/hkW
0.560001.76
112,0003.52
1.518,0005.28
224,0007.03
336,00010.55
560,00017.58

Cooling output is not electricity consumed

The rating is how much heat the unit moves, not how much power it draws. A heat pump moves several times more heat than the energy it consumes, which is the entire point of one:

Cooling outputTypical draw at COP 3.2
2.64 kW (9000 BTU/h)0.83 kW
3.52 kW (12,000 BTU/h)1.10 kW
5.28 kW (18,000 BTU/h)1.65 kW

So a “12,000 BTU” unit does not add 3.5 kW to the electricity bill. Efficiency is published as COP or EER — in Taiwan as CSPF, in Japan as APF — and the higher it is, the smaller the draw for the same cooling.

Quick reference

WattsBTU/h
100 W341 BTU/h
500 W1706 BTU/h
1000 W3412 BTU/h
1500 W5118 BTU/h
2000 W6824 BTU/h
3000 W10,236 BTU/h

Estimating in your head

Multiply by 3.4, or triple it and add 40%. 1000 W × 3.4 is 3400 against a true 3412. Going the other way, divide BTU/h by 3.4 — 12,000 ÷ 3.4 is 3529 W against a true 3517.