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Kilocalories to Joules Converter

Convert kcal to J

4,184
1 kcal = 4,184 J
Quick Reference: 1 Kilocalories
Joules4,184 J
Kilojoules4.184 kJ
Calories1,000 cal
Watt Hours1.162222 Wh
Kilowatt Hours0.001162 kWh

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 Ɨ 4184 kilocalories = joules Ɨ 0.000239005736138 `

One kilocalory is 4,184 joules, and one joule is 2.3901e-4 kilocalories.

Conversion Table

KilocaloriesJoules
1 kcal4,184 J
2 kcal8,368 J
5 kcal20,920 J
10 kcal41,840 J
25 kcal104,600 J
50 kcal209,200 J
100 kcal418,400 J
500 kcal2,092,000 J
1,000 kcal4,184,000 J

The Other Direction

JoulesKilocalories
1 J2.3901e-4 kcal
2 J4.7801e-4 kcal
5 J0.001195 kcal
10 J0.00239 kcal
25 J0.005975 kcal
50 J0.01195 kcal
100 J0.023901 kcal
500 J0.119503 kcal
1,000 J0.239006 kcal

What Each Unit Is

Kilocalories (kcal) — 1,000 small calories, or 4,184 joules — the "Calorie" on a nutrition label. Capitalised as Calorie to distinguish it, a convention almost nobody follows.

Joules (J) — the work done by one newton acting over one metre — 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 — 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 keptFactor137 kcal becomesError
04184573,208—
14184573,208—
24184573,208—
34184573,208—
44184573,208—
A rule that holds for any conversion: round once, at the end. Rounding the factor and then multiplying compounds the error through every subsequent calculation, while carrying full precision and rounding the final answer does not.

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 — writing more digits claims precision the measurement never had.

Frequently Asked Questions

How do I convert kilocalories to joules?

Multiply by 4184. For example, 10 kcal is 41,840 J. Going the other way, divide by 4184 or multiply by 0.000239005736138.

How many joules are in one kilocalory?

Exactly 4,184 joules in one kilocalory, so 25 kcal is 104,600 J and 100 kcal is 418,400 J. Going the other way, one joule is 2.3901e-4 kilocalories.

Is the kilocalories to joules conversion exact?

The factor 4184 is rounded. For engineering work carry more digits than the table above, and round only at the end — rounding at each step compounds.

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