Joule to Calorie (small)

Free instant joule to calorie (small) converter. 1 J = 0.239006 cal.

0.239006
Formula
1 J = 0.239006 cal

Common Joule to Calorie (small) values

Common Joule to Calorie (small) conversion values.
Joule (J)Calorie (small) (cal)
10.239006
51.19503
102.39006
255.97514
5011.9503
10023.9006
500119.503
1000239.006

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How does Joule to Calorie (small) conversion work?

Type a value in the Joule (J) field and the equivalent in Calorie (small) (cal) appears instantly to the right. The math uses the exact formula shown above — no rounding errors, no approximations beyond standard floating-point precision. Use the swap button to flip the units and see the inverse conversion.

Joule. The SI unit of energy. About the energy of a small apple falling from waist height.

Calorie (small). The amount of energy needed to raise 1 gram of water by 1°C. Often confused with the food Calorie (which is actually a kilocalorie).

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🎯 Accurate conversions

Conversion factors come from the official standard (NIST, BIPM, ISO definitions where applicable). Values are precise to standard floating-point limits.

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How it works — the formula

1 cal (thermochemical) = 4.184 J exactly 1 kcal = 4,184 J = 4.184 kJ 1 kWh = 3,600,000 J = 3.6 MJ 1 BTU (IT) = 1,055.05585262 J

The joule is the SI derived unit of energy: 1 J = 1 N·m = 1 W·s. The "calorie" exists in three flavors — thermochemical (4.184 J exact, used in chemistry), International Table (4.1868 J, used in nutrition tables in some countries), and 15 °C (~4.1855 J). US food labels and the FDA use the thermochemical kilocalorie. The BTU is defined as the energy needed to raise 1 lb of water by 1 °F; the International Table BTU (1,055.05585262 J) is the standard for HVAC and energy markets per ISO 31.

Worked examples

Example 1
Food calories
Inputs:
500 kcal = ? J
Output:
500 × 4,184 = 2,092,000 J = 2.092 MJ
Example 2
Electricity
Inputs:
1 kWh = ? BTU
Output:
3,600,000 / 1,055.05585262 ≈ 3,412.14 BTU
Example 3
Engineering BTU
Inputs:
10,000 BTU/h cooling
Output:
10,000 × 1,055.05585262 / 3,600 ≈ 2,930.7 W ≈ 2.93 kW

Limitations

  • "Calorie" without a qualifier is ambiguous — nutrition labels almost always mean kilocalories (1 Calorie = 1 kcal = 1,000 cal).
  • BTU comes in five definitions (IT, thermochemical, 39 °F, 59 °F, 60 °F) within ~0.1% — the IT BTU is the most common modern usage.
  • Electronvolt (1 eV ≈ 1.602 × 10⁻¹⁹ J) is standard in atomic physics but not used for everyday energy.
  • Energy and power are different units (energy = power × time); 1 watt ≠ 1 joule, and 1 kWh ≠ 1 kW.

Conversions are exact for joule-defined units (calorie, kWh, BTU-IT). Food-calorie counts on labels are reported with two-significant-digit precision and may differ from thermochemical equivalents at the third digit.

Frequently asked

What is the formula for converting Joule to Calorie (small)?+
The formula is: 1 J = 0.239006 cal. Type any value into the calculator above and the result appears instantly.
How do I convert Calorie (small) back to Joule?+
Click the swap button (⇄) above to go to the Calorie (small) → Joule converter, or use the inverse formula derived from the one shown.
How accurate is the conversion?+
Conversion factors used here are exact rational values from NIST SP 811 and the BIPM SI brochure (e.g. 1 ft = 0.3048 m exactly, 1 lb = 0.45359237 kg exactly). Trailing-digit differences vs hand calculation come only from binary floating-point representation, never from the conversion factor itself.
Where do these conversion factors come from?+
Length and mass factors come from the 1959 international yard-and-pound agreement; SI base units (metre, kilogram, second, kelvin) come from the 2019 BIPM redefinition; energy and pressure factors are NIST SP 811 reference values. Each editorial section above lists the specific source for that category.
Is "calorie" on a food label the same as a chemistry calorie?+
No — food labels report kilocalories with a capital C ("1 Calorie" = 1 kcal = 1,000 thermochemical calories). The lowercase calorie used in chemistry is exactly 4.184 J; nutrition is 1,000× larger.

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