The formula
BTU/h = kW × 3,412.141633
Where the factor comes from — each unit by its definition, then its size in SI:
1 kW = 1000 × W = 1,000 W1 BTU/h = BTU / h = 0.293071070172 W
Dividing the two SI sizes gives the factor: 3,412.14163313 (rounded for display; the underlying ratio is fixed by the definitions). The reverse factor is 0.000293071070172.
Power is energy per second; the watt is one joule per second. Engine ratings in horsepower and air-conditioner ratings in BTU/h convert to watts with fixed factors.
Worked examples
- A small car engine (100 hp): 74.57 kW = 254,443 BTU/h — 74.57 × 3,412.141633 = 254,443
- An old incandescent bulb (60 W): 0.06 kW = 204.728 BTU/h — 0.06 × 3,412.141633 = 204.728
- An electric kettle: 2 kW = 6,824.28 BTU/h — 2 × 3,412.141633 = 6,824.28
- A room air conditioner: 3.51685 kW = 12,000 BTU/h — 3.51685 × 3,412.141633 = 12,000
Frequently asked questions
How many BTU per hour is 1 kW?
1 kW = 3,412.14163313 BTU/h.
How do I convert BTU per hour back to kilowatts?
Divide by 3,412.14163313 — or multiply by 0.000293071070172: 1 BTU/h = 0.000293071070172 kW.