Unit converters · Pressure, energy, power
Convert energy (joule, kWh, calorie, BTU)
Every energy routes through the joule. A kilowatt-hour is exactly 3.6 million joules, and a food kilocalorie 4,184 joules.
Calculate
How the calculator works
The value is converted into joules, then into the target unit. A kilowatt-hour is not a power: it is one kilowatt sustained for one hour, so 1,000 W × 3,600 s. The calorie used here is the thermochemical calorie; the “Calorie” with a capital C on food labels is in fact a kilocalorie.
Formula and method
E(J) = x × kfrom ; y = E(J) / kto
k is the unit's factor to the joule.
1 kWh = 1000 × 3600 = 3.6 × 10⁶ J
Power multiplied by duration.
1 kcal = 4184 J
Thermochemical calorie, the basis of nutrition labels.
The joule is the SI unit of energy, work and quantity of heat. The kilowatt-hour is used to bill electricity. The BTU is still common in English-speaking heating and air conditioning. European food labels print kJ and kcal side by side precisely because both units coexist.
Worked example
A 2 kW hob for 30 minutes
Energy = 2 kW × 0.5 h = 1 kWh, converted to kJ.
- 1 kWh = 3,600,000 J.
- That is 3,600 kJ.
3,600 kJ, or 3.6 MJ.
A 250 kcal serving in kilojoules
x = 250, from kcal to kJ.
- 250 × 4,184 = 1,046,000 J.
- That is 1,046 kJ.
1,046 kJ, the figure printed on labels.
Input notes
- Value
- The amount of energy alone, without the unit.
- From
- Starting unit. The default is the kilowatt-hour, the one on electricity bills.
- To
- Target unit. The default is the kilojoule, the one on food labels.
Assumptions and limits
Assumptions
- 1 kWh = 3.6 × 10⁶ J exactly.
- 1 cal = 4.184 J (thermochemical calorie).
- 1 BTU ≈ 1,055.06 J (international BTU).
Limits
- Energy is not power: a “2,000 W” appliance does not consume 2,000 Wh.
- Conversion efficiency is not modelled: burning 1 kWh of gas does not deliver 1 kWh of useful heat.
- The metabolisable energy of food differs from its heat of combustion.
How to read the result
An electricity bill counts kilowatt-hours, so it counts energy. Multiplying an appliance's power by how long it runs gives that energy. On the nutrition side, 2,000 kcal a day is about 8,368 kJ: the two figures describe the same intake.
Common mistakes
Confusing kW with kWh.
The kW is instantaneous power; the kWh is energy accumulated over time.
Reading “250 calories” on a package as 250 cal.
It means 250 kcal, that is 250,000 calories in the physical sense.
Adding gas and electricity kWh as if they cost the same.
The energy content is comparable; the price and the efficiency are not.
Comparison
| Unit | To J | Typical use |
|---|---|---|
| J | 1 | SI unit |
| kJ | 1,000 | Food labels |
| cal | 4.184 | Physics, chemistry |
| kcal | 4,184 | Nutrition |
| Wh | 3,600 | Batteries |
| kWh | 3,600,000 | Electricity bills |
| BTU | 1,055.06 | Heating, air conditioning |
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Frequently asked questions
How many joules in a kWh?
3.6 million.
A kilowatt-hour is 1,000 watts for 3,600 seconds, so 3,600,000 joules, that is 3.6 megajoules.
Calorie or kilocalorie on a label?
Almost always kilocalories.
A “Calorie” with a capital C, common in the United States, means a kilocalorie. In Europe, labels show both kJ and kcal, which removes the ambiguity.
Does a 2,000 W heater use 2 kWh?
Only if it runs for an hour.
2,000 W for one hour is 2 kWh. For fifteen minutes it is only 0.5 kWh. Power has to be multiplied by the running time.
Author and update
Written by Rédaction HexaCalc (editorial team). Content last updated: August 25, 2026. No third-party medical or financial review is claimed.
- NIST Guide to the SI, Appendix B: Conversion Factors — National Institute of Standards and Technology
- The International System of Units (SI) — Bureau international des poids et mesures (BIPM)
Converting a power instead?
The power converter links watts, kilowatts and horsepower.
Power converterCategory: Unit converters