About Energy Converter
This energy converter changes a value between joules, kilojoules, calories, kilocalories, watt hours, kilowatt hours, British thermal units, foot-pounds and electronvolts. The fixed points most people need are these: 1 BTU is 1,055.055853 joules, 1 kilojoule is 0.947817 BTU, 1 kilowatt hour is exactly 3,600,000 joules or 3,412.141633 BTU, and 1 kilocalorie is exactly 4.184 kilojoules. Every conversion goes through the joule, the SI unit of energy, and the result is shown to six decimal places with the factor for your chosen pair. It converts energy only. Kilowatts and BTU per hour are power, a rate of using energy, and need a time before they can be converted.
Joules to BTU conversion table
| Joules (J) | BTU | BTU | Joules (J) |
|---|---|---|---|
| 1 | 0.000948 | 1 | 1,055.055853 |
| 10 | 0.009478 | 5 | 5,275.279263 |
| 100 | 0.094782 | 10 | 10,550.558526 |
| 500 | 0.473909 | 100 | 105,505.585262 |
| 1,000 | 0.947817 | 1,000 | 1,055,055.85262 |
| 5,000 | 4.739086 | 5,000 | 5,275,279.2631 |
| 10,000 | 9.478171 | 10,000 | 10,550,558.5262 |
| 100,000 | 94.781712 | 12,000 | 12,660,670.23144 |
| 1,000,000 | 947.81712 | 100,000 | 105,505,585.262 |
The left pair converts joules to BTU and the right pair BTU to joules. The two halves of a row are not equal amounts.
Kilojoules to BTU and kWh, and BTU to kilojoules and kWh
Kilojoules are the practical size for heating, appliance and food energy figures.
| Kilojoules | BTU | kWh | BTU | Kilojoules | kWh |
|---|---|---|---|---|---|
| 1 kJ | 0.947817 | 0.000278 | 1 BTU | 1.055056 | 0.000293 |
| 10 kJ | 9.478171 | 0.002778 | 100 BTU | 105.505585 | 0.029307 |
| 100 kJ | 94.781712 | 0.027778 | 1,000 BTU | 1,055.055853 | 0.293071 |
| 300 kJ | 284.345136 | 0.083333 | 5,000 BTU | 5,275.279263 | 1.465355 |
| 500 kJ | 473.90856 | 0.138889 | 10,000 BTU | 10,550.558526 | 2.930711 |
| 1,000 kJ | 947.81712 | 0.277778 | 12,000 BTU | 12,660.670231 | 3.516853 |
| 3,600 kJ | 3,412.141633 | 1 | 18,000 BTU | 18,991.005347 | 5.275279 |
| 8,400 kJ | 7,961.663811 | 2.333333 | 24,000 BTU | 25,321.340463 | 7.033706 |
| 10,000 kJ | 9,478.171203 | 2.777778 | 36,000 BTU | 37,982.010694 | 10.550559 |
Columns 1 to 3 and columns 4 to 6 are separate conversions. 300 kJ of electricity is 0.083333 kWh, or 83.333333 Wh.
Kilowatt hours to kilojoules and BTU
| kWh | Kilojoules | BTU |
|---|---|---|
| 0.5 | 1,800 | 1,706.070817 |
| 1 | 3,600 | 3,412.141633 |
| 2 | 7,200 | 6,824.283266 |
| 5 | 18,000 | 17,060.708166 |
| 10 | 36,000 | 34,121.416331 |
| 30 | 108,000 | 102,364.248994 |
| 100 | 360,000 | 341,214.163313 |
| 1,000 | 3,600,000 | 3,412,141.633128 |
The nine energy units and their size in joules
| Unit | Joules | What it is |
|---|---|---|
| Joule (J) | 1 | SI unit: one newton of force moved through one metre |
| Kilojoule (kJ) | 1,000 | 1,000 joules; used on food labels in many countries |
| Calorie (cal) | 4.184 | Thermochemical calorie, roughly the heat to warm 1 g of water by 1 °C |
| Kilocalorie (kcal) | 4,184 | The food Calorie: 1,000 calories |
| Watt hour (Wh) | 3,600 | One watt for one hour; battery capacity |
| Kilowatt hour (kWh) | 3,600,000 | One kilowatt for one hour; the unit on electricity bills |
| British thermal unit (BTU) | 1,055.055853 | Roughly the heat to warm 1 lb of water by 1 °F |
| Foot-pound (ft·lb) | 1.355818 | One pound-force moved through one foot |
| Electronvolt (eV) | 1.602177e-19 | Energy gained by one electron crossing one volt |
The tool stores the BTU as 1,055.05585262 J and the electronvolt as exactly 1.602176634 × 10^-19 J; the table shows them as the Result line prints them.
Joule to BTU formula and the general rule
BTU = joules ÷ 1,055.05585262. In general: target value = value × (joules per source unit) ÷ (joules per target unit)
Every unit has a fixed size in joules. Multiply your value by the source unit's joules, then divide by the target unit's joules. For 8,400 kJ to BTU: 8,400 × 1,000 = 8,400,000 J, and 8,400,000 ÷ 1,055.05585262 = 7,961.663811 BTU. For joules to kilowatt hours the divisor is 3,600,000, so 10,000,000 J is 2.777778 kWh.
Worked energy conversions
Joules to BTU
Value 5000, From Joule (J), To British thermal unit (BTU)
4.739086 BTU
The Formula line reads 1 J = 0.000948 BTU because it is cut to six decimals; the Result uses the full factor.
A heater's daily use in kilojoules
A 2 kW heater running 3 hours uses 6 kWh. Value 6, From Kilowatt hour (kWh), To Kilojoule (kJ)
21600 kJ
The same 6 kWh is 20,472.849799 BTU and 21,600,000 J.
A food label in kcal
Value 250, From Kilocalorie (kcal, food calorie), To Kilojoule (kJ)
1046 kJ
Going the other way, 8,700 kJ is 2,079.349904 kcal.
A gas bill in BTU
Value 100000, From British thermal unit (BTU), To Kilowatt hour (kWh)
29.307107 kWh
100,000 BTU is one therm. One million BTU is 293.07107 kWh.
Kilocalories to electronvolts
Value 1, From Kilocalorie (kcal, food calorie), To Electronvolt (eV)
2.611447e+22 eV
Very large and very small results are shown in scientific notation. One joule is 6.241509e+18 eV.
Energy versus power: kWh and kW, BTU and BTU per hour
A common reason a conversion looks wrong is mixing energy with power. Energy is a quantity: joules, kilowatt hours, BTU, calories. Power is how fast energy is used: watts, kilowatts, BTU per hour. One watt is one joule per second, so power multiplied by time gives energy.
Air conditioners and furnaces are labelled in BTU, but the rating is really BTU per hour. A 12,000 BTU unit moves 12,000 BTU of heat each hour. Converting 12,000 BTU here gives 3.516853 kWh, which means its cooling capacity is about 3.5 kW. That is the heat it moves, not the electricity it draws, which is typically a fraction of that.
The same care applies to electricity. A kilowatt hour is the energy used by a 1 kW load in one hour. To turn a wattage into energy, multiply by hours first: a 60 W lamp for 1 hour is 60 Wh, which converts to 216 kJ.
Two definitions are worth knowing. The BTU here is the International Table BTU of 1,055.05585262 J; the thermochemical BTU is about 1,054.35 J, a difference of under 0.1 percent. The calorie here is the thermochemical calorie of exactly 4.184 J; the International Table calorie is 4.1868 J.
How to get your result
- 1
Enter the amount of energy in the Value box.
- 2
Pick its unit in the From list, for example British thermal unit (BTU).
- 3
Pick the unit you need in the To list, for example Joule (J) or Kilowatt hour (kWh).
- 4
Read the Result and the Formula line, which gives the size of one source unit in the target unit.
- 5
Check the Same value in every unit table to read the figure in the other eight units.