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Calories to Kilojoules Converter

Convert Calories (cal) to Kilojoules (kJ) instantly, or use the conversion table below to look up common values.

1 cal = 0.004184 kJ

Calories to Kilojoules conversion table

Calories (cal)Kilojoules (kJ)
10.004184
20.008368
30.012552
40.016736
50.02092
100.04184
250.1046
500.2092
1000.4184

How to convert Calories to Kilojoules

1 cal equals 0.004184 kJ. Use the converter above for any value, or read the table for common conversions.

kJ = cal × 0.004184 · cal = kJ × 239.0057361376673

Multiply a calories figure by 0.004184 to get kilojoules, or divide it by 239.005736 to go the other way.

Worked examples

  • 1 cal= 0.004184 kJ
  • 5 cal= 0.02092 kJ
  • 10 cal= 0.04184 kJ
  • 100 cal= 0.4184 kJ
  • 500 cal= 2.092 kJ

What these units are

Calories (cal). A calorie here is the small calorie of 4.184 joules — the energy needed to raise one gram of water by one degree Celsius. Food labels use the kilocalorie, which is 1,000 of these.

Kilojoules (kJ). A kilojoule is 1,000 joules. It is used for food energy in most countries outside the United States, and for small industrial figures.

All factors are exact definitions, so only the display is rounded.

Converting Calories to Kilojoules in practice

Working in calories

One thermochemical calorie is exactly 4.184 joules, a definition fixed by convention rather than by a water experiment. The food calorie on a nutrition label is a kilocalorie of 4,184 joules.

The small calorie appears in chemistry, physics and heat-capacity problems, where a substance's specific heat is expressed per gram per degree. Nutrition labels use the much larger food calorie instead.

Calories convert to joules by the exact factor 4.184, and kilocalories by 4,184, so no precision is lost in either direction. One kilocalorie is about 4.184 kilojoules, the same amount under another name.

Reading a nutrition label's calorie value as small calories understates the energy by a factor of one thousand. The figure printed there is always the kilocalorie, however it is capitalised or labelled.

The calorie shares its dimension with the kilocalorie, the joule and the kilojoule, and mixing them is the risk. A food label's figure is a kilocalorie, while mechanics and heat problems work in joules and kilojoules.

Reading the result in kilojoules

One kilojoule is exactly 1,000 joules, and the symbol is kJ. It is the joule multiple that food packaging commonly prints, with energy shown in kilojoules beside kilocalories, and chemistry uses it for reaction energies.

Nutrition panels, exercise machines and dietary advice report energy in kilojoules wherever the metric system is used. Materials and fuel data, such as energy content per kilogram, are tabulated in kilojoules as well.

The step from kilojoules to megajoules divides by exactly one thousand, so nothing is lost in the conversion. One kilocalorie equals 4.184 kilojoules, which is how the two columns on a food label correspond.

A reader who compares a kilojoule figure with a kilocalorie figure as though they were the same number will misjudge the energy by more than four times. The label's two columns state one amount in two units.

Kilojoules and kilocalories are the two energy columns on a food label, and the kilojoule figure is the larger number because one kilocalorie is 4.184 kilojoules. Megajoules take over where kilojoule figures become long, as they do for fuels.

Checking a calories to kilojoules conversion

Energy units are defined against the joule, so every conversion in this dimension is a single exact multiplication by a published number rather than a chain of steps that could accumulate error.

The pair that needs care is the kilowatt-hour, because it looks like a power unit and is not. It is a watt sustained for an hour, which is why an electricity meter counts in kilowatt-hours while a generator is rated in kilowatts: one is an amount, the other is a rate, and only a duration links them.

To check an energy conversion, express both sides in joules or both in kilowatt-hours before comparing. The commonest mistake is treating a food calorie as a calorie when the label means a kilocalorie, which understates the figure a thousandfold.

Tanzania reference points

Real quantities, converted into the units on this page.

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