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DailyCalc

Convert calories to joules

Convert calories to joules instantly. 1 cal = 4.184 J. Formula, worked examples and a quick reference table.

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J

One calorie equals 4.184 joules. To convert any number of calories to joules, multiply by 4.184.

The converter above works in both directions and updates as you type. Below you will find the formula, a worked example and a reference table of common values.

Energy conversions sit between physics and the kitchen. The joule is the SI unit and the one every equation uses; the calorie survives on food labels, where it is actually a kilocalorie a thousand times larger than the physicist’s calorie; and the kilowatt-hour is what an electricity meter counts. All three measure the same quantity, which is why an appliance’s consumption and a meal’s energy content can, in principle, be compared directly.

calories to joules formula

joule = calorie × 4.184

To go the other way, use calorie = joule ÷ 4.184.

About these units

The small calorie is the energy needed to warm one gram of water by one degree Celsius. It is a thousand times smaller than the "calorie" on a food label, which is really a kilocalorie.

The joule is the SI unit of energy: one newton acting over one metre, or one watt for one second. Every other energy unit here is defined against it.

Calorie is also written calories and cals. Joule is also written joules.

Sources

  1. NIST Special Publication 811, Guide for the Use of the International System of Units (SI), 2008 edition — conversion factors for units outside the SI.

calories to joules conversion table

Calorie Joule
1 cal 4.184 J
2 cal 8.368 J
3 cal 12.552 J
5 cal 20.92 J
10 cal 41.84 J
20 cal 83.68 J
25 cal 104.6 J
50 cal 209.2 J
100 cal 418.4 J
250 cal 1,046 J
500 cal 2,092 J
1,000 cal 4,184 J

Frequently asked questions

How many joules are in a calorie? +

There are 4.184 joules in one calorie.

What is 10 cal in J? +

10 cal equals 41.84 J. Multiply 10 by 4.184.

How do I convert joule back to calorie? +

Use calorie = joule ÷ 4.184. The converter above handles both directions, or see our dedicated joules to calories page.

How accurate is this calorie to joule conversion? +

The factor used is 4.184, carried at full double precision. Where a unit has an exact legal definition the factor is exact rather than approximate. Rounding is applied only to the displayed result, so the answer is never a calculation done on an already-rounded number.

Is there a quick way to estimate cal to J in my head? +

Multiply by 21 and divide by 5. That approximates the true factor of 4.184 to within 0.3824%, which is close enough for a mental estimate.