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Calories to Joules Converter

Convert calories to joules instantly. 1 cal = 4.184 J. Enter any value and get an accurate result with a reference table for common conversions.

How to convert calories to joules

To convert a measurement in calories to joules, multiply the value by 4.184. The conversion factor comes from the relationship between both units and the joule.

For example, to convert 5 cal to joules: 5 × 4.184 = 20.92 J.

What is a calorie?

A calorie (small calorie) is the energy needed to raise the temperature of one gram of water by one degree Celsius, defined as exactly 4.184 joules. The calorie originated in early-19th-century thermodynamics. The thermochemical calorie, fixed at exactly 4.184 J, is the modern standard, though it is often confused with the larger food Calorie (kilocalorie).

Common uses of calories include: Chemistry and thermodynamics; Heat-of-reaction measurements; Physics heat-transfer problems; Historical energy references.

What is a joule?

A joule is the SI derived unit of energy, equal to the work done when a force of one newton moves an object one meter (1 N·m). Named after the English physicist James Prescott Joule, who established the mechanical equivalent of heat in the 1840s. The joule became the SI standard for all forms of energy, work, and heat.

Common uses of joules include: Scientific and engineering energy calculations; Nutrition labeling in metric countries; Mechanical work and kinetic energy; Electrical energy in physics (watt-seconds).

When you need to convert calories to joules

Chemistry and physics students bridge these units constantly. Heat-of-reaction and specific-heat problems are often set up in calories but answered in the SI joule, so knowing that one calorie is exactly 4.184 joules keeps calorimetry calculations correct.

Calories to joules worked examples

Here are some common values converted:

1 cal = 4.184 J 5 cal = 20.92 J 10 cal = 41.84 J 50 cal = 209.2 J 100 cal = 418.4 J

Frequently asked questions

How many joules are in one calorie?

One calorie (cal) equals 4.184 joules (J). Multiply any value in calories by 4.184 to convert to joules.

How do I convert calories to joules?

Multiply the value in calories by 4.184. For example, 5 cal × 4.184 = 20.92 J.

How do I convert joules to calories?

Multiply the value in joules by 0.239005736138, or divide by 4.184. Use the swap button on the converter above to reverse the direction.

Is the calorie to joule conversion exact?

The thermochemical calorie is defined as exactly 4.184 J and the BTU as 1055.056 J. Conversions between SI energy units are exact.

What is the formula for calories to joules?

The formula is: J = cal × 4.184. This comes from the definition of both units relative to the joule.

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