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Joules to Kilocalories Converter

↔ Convert kcal to J instead

Common Conversions

J kcal
4.184 0.001
41.84 0.01
418.4 0.1
4184 1
20920 5
41840 10
104600 25
209200 50
418400 100
1046000 250
2092000 500
4184000 1000

Why this conversion matters in chemistry

Bomb calorimetry returns total combustion heat in joules; biochemistry textbooks tabulate the same enthalpies in kcal/mol. Glucose combustion is −2803 kJ/mol on a modern data sheet, equivalently −670 kcal/mol in a metabolism textbook. Palmitic acid runs about −10,035 kJ/mol, or −2398 kcal/mol. Dividing by 4184 is the conversion that lines up an instrument-raw joule reading against the kcal/mol values in a biochemistry data table. The factor is exact through the thermochemical calorie definition (1 cal = 4.184 J, by IUPAC convention).

Formula

kcal = J / 4184 (equivalently, kcal = J × 2.39 × 10⁻⁴)

Worked Examples

4184 J = 1 kcal

The defining identity of the thermochemical kilocalorie.

418400 J = 100 kcal

Roughly the energy of a typical small snack — useful as a reality check for nutritional-biochemistry reasoning.

241800 J = 57.8 kcal

The standard enthalpy of formation of gaseous water (magnitude only; the actual value is negative). Liquid water sits higher in magnitude at 285.8 kJ/mol or 68.3 kcal/mol.

4.184 J = 0.001 kcal

One thermochemical calorie — the small-cal unit that sits below the kcal scale food labels actually use.

Frequently Asked Questions

How do I convert joules to kilocalories?
Divide by 4184 — the number of joules in one thermochemical kilocalorie. So 41,840 J becomes 10 kcal. The factor is exact through the IUPAC definition of the thermochemical calorie.
Why is 4184 the exact factor?
The thermochemical calorie is defined as exactly 4.184 J — a fixed value adopted by IUPAC, not a measured one. One kilocalorie is therefore exactly 4184 J. The IT calorie at 4.1868 J appears in some engineering contexts; chemistry stays with the thermochemical value.
What's the difference between cal, kcal, and Cal?
1 cal (small calorie) = 4.184 J. 1 kcal = 1000 cal = 4184 J. 1 Cal (capital C, the dietary Calorie) = 1 kcal. So a food label reading 100 Calories actually means 100 kcal — equivalently, 418,400 J. The capitalization carries real information.