Kilocalories to Joules
Convert kilocalories (kcal) to joules (J). Both measure work and power, and the conversion comes up in nutrition, electricity, fitness work.
The Formula
``
joules = kilocalories Ć 4184
kilocalories = joules Ć 0.000239005736138
`
One kilocalory is 4,184 joules, and one joule is 2.3901e-4 kilocalories.
Conversion Table
| Kilocalories | Joules |
|---|---|
| 1 kcal | 4,184 J |
| 2 kcal | 8,368 J |
| 5 kcal | 20,920 J |
| 10 kcal | 41,840 J |
| 25 kcal | 104,600 J |
| 50 kcal | 209,200 J |
| 100 kcal | 418,400 J |
| 500 kcal | 2,092,000 J |
| 1,000 kcal | 4,184,000 J |
The Other Direction
| Joules | Kilocalories |
|---|---|
| 1 J | 2.3901e-4 kcal |
| 2 J | 4.7801e-4 kcal |
| 5 J | 0.001195 kcal |
| 10 J | 0.00239 kcal |
| 25 J | 0.005975 kcal |
| 50 J | 0.01195 kcal |
| 100 J | 0.023901 kcal |
| 500 J | 0.119503 kcal |
| 1,000 J | 0.239006 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.
Joules (J) ā the work done by one newton acting over one metre ā the SI derived unit of energy. Named for James Prescott Joule, who established the mechanical equivalent of heat.
A Sense of Scale
An apple is 95 kcal- Daily intake is about 2,000 kcal
- A marathon burns roughly 2,600 kcal
- Lifting an apple one metre takes about 1 J
- A heartbeat uses roughly 1 J
Precision
The factor 4184 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 kilocalorieToJoule = (value) => value * 4184;
``
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 | 4184 | 573,208 | ā |
| 1 | 4184 | 573,208 | ā |
| 2 | 4184 | 573,208 | ā |
| 3 | 4184 | 573,208 | ā |
| 4 | 4184 | 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 joules is only good to three ā writing more digits claims precision the measurement never had.