Kilocalories to Kilojoules
Convert kilocalories (kcal) to kilojoules (kJ). Both measure work and power, and the conversion comes up in nutrition, electricity, fitness work.
The Formula
``
kilojoules = kilocalories Ć 4.184
kilocalories = kilojoules Ć 0.239005736138
`
One kilocalory is 4.184 kilojoules, and one kilojoule is 0.239006 kilocalories.
Conversion Table
| Kilocalories | Kilojoules |
|---|---|
| 1 kcal | 4.184 kJ |
| 2 kcal | 8.368 kJ |
| 5 kcal | 20.92 kJ |
| 10 kcal | 41.84 kJ |
| 25 kcal | 104.6 kJ |
| 50 kcal | 209.2 kJ |
| 100 kcal | 418.4 kJ |
| 500 kcal | 2,092 kJ |
| 1,000 kcal | 4,184 kJ |
The Other Direction
| Kilojoules | Kilocalories |
|---|---|
| 1 kJ | 0.239006 kcal |
| 2 kJ | 0.478011 kcal |
| 5 kJ | 1.195 kcal |
| 10 kJ | 2.3901 kcal |
| 25 kJ | 5.9751 kcal |
| 50 kJ | 11.9503 kcal |
| 100 kJ | 23.9006 kcal |
| 500 kJ | 119.5029 kcal |
| 1,000 kJ | 239.0057 kcal |
What Each Unit Is
Kilocalories (kcal) ā 1,000 small calories, or 4,184 joules ā the "Calorie" on a nutrition label. Capitalised as Calorie to distinguish it, a convention almost nobody follows.
Kilojoules (kJ) ā 1,000 joules. The metric food-energy unit outside North America.
A Sense of Scale
An apple is 95 kcal- Daily intake is about 2,000 kcal
- A marathon burns roughly 2,600 kcal
- An apple holds about 400 kJ
- Daily intake is around 8,700 kJ
Doing It in Your Head
Multiply by 21, then divide by 5. That is off by 0.38% ā close enough to judge a
distance, a weight or a price, and not close enough to sign off on a drawing.
Exact Mental shortcut 41.84 kJ 42 kJ 418.4 kJ 420 kJ
Precision
The factor 4.184 is rounded. For engineering work carry more digits than the table above, and round only at the end ā rounding at each step compounds.
In Code
`javascript
const kilocalorieToKilojoule = (value) => value * 4.184;
``
Where This Conversion Comes Up
- Nutrition
- Electricity
- Fitness
- Heating
- Fuel
How Many Decimals Do You Need?
Rounding the factor costs accuracy, and how much depends on the factor. Converting 137 kcal with the factor truncated at each decimal place:
| Decimals kept | Factor | 137 kcal becomes | Error |
|---|---|---|---|
| 0 | 4 | 548 | 4.3977% |
| 1 | 4.2 | 575.4 | 0.3824% |
| 2 | 4.18 | 572.66 | 0.0956% |
| 3 | 4.184 | 573.208 | ā |
| 4 | 4.184 | 573.208 | ā |
The right number of significant figures is set by your input, not by the converter. If you measured kilocalories to three significant figures, the answer in kilojoules is only good to three ā writing more digits claims precision the measurement never had.