Calorie to Joule Converter
Enter the value that you want to convert calorie (cal) to joule (J) or joule to calorie.Also written as CAL to J conversion.
1 calorie = 4.1840000 joule
Formula: joule = calorie value × 4.1840000
CAL to J — calorie to joule
10 calorie = 41.84000 joule
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How Calorie Relates to Joule
About the Calorie
Calorie (cal) is a unit of energy measurement. 1 calorie is equal to 4.1840000 joule.
The Joule in Engineering
Joule (J) is a unit of energy measurement. 1 joule is equal to 0.2390057 calorie.
Energy Units in Different Fields
Energy measurement units reflect their historical origins across different industries. Electrical engineers use kilowatt-hours, nutritionists use calories, physicists use joules, heating engineers use BTUs, and the petroleum industry uses barrels of oil equivalent. Converting between these units is essential for energy auditing, comparing fuel sources, sizing HVAC systems, and understanding electricity bills relative to gas consumption.
calorie to joule metric conversion table
| 0.01 cal | = | 0.04184 J |
| 0.1 cal | = | 0.41840 J |
| 1 cal | = | 4.18400 J |
| 2 cal | = | 8.36800 J |
| 3 cal | = | 12.55200 J |
| 4 cal | = | 16.73600 J |
| 5 cal | = | 20.92000 J |
| 6 cal | = | 25.10400 J |
| 7 cal | = | 29.28800 J |
| 8 cal | = | 33.47200 J |
| 9 cal | = | 37.65600 J |
| 10 cal | = | 41.84000 J |
| 11 cal | = | 46.02400 J |
| 12 cal | = | 50.20800 J |
| 13 cal | = | 54.39200 J |
| 14 cal | = | 58.57600 J |
| 15 cal | = | 62.76000 J |
| 16 cal | = | 66.94400 J |
| 17 cal | = | 71.12800 J |
| 18 cal | = | 75.31200 J |
| 19 cal | = | 79.49600 J |
| 20 cal | = | 83.68000 J |
| 30 cal | = | 125.52000 J |
| 40 cal | = | 167.36000 J |
| 50 cal | = | 209.20000 J |
| 60 cal | = | 251.04000 J |
| 70 cal | = | 292.88000 J |
| 80 cal | = | 334.72000 J |
| 90 cal | = | 376.56000 J |
| 100 cal | = | 418.40000 J |
| 200 cal | = | 836.80000 J |
| 300 cal | = | 1255.20000 J |
| 400 cal | = | 1673.60000 J |
| 500 cal | = | 2092.00000 J |
| 600 cal | = | 2510.40000 J |
| 700 cal | = | 2928.80000 J |
| 800 cal | = | 3347.20000 J |
| 900 cal | = | 3765.60000 J |
| 1000 cal | = | 4184.00000 J |
How to Convert CAL to J (Calorie to Joule)?
We can convert calorie to joule by using an example.
Example:
Convert 20 Calorie to Joule?
We know 1 Calorie = 4.1840000 joule; 1 Joule = 0.2390057 calorie.
20 calorie = ___J
20 × 4.1840000 = 83.68000 J (we know 1 calorie = 4.1840000 joule)
Answer:
20 calorie = 83.68000 joule
How to Convert Calories to Joules (Step-by-Step)
Converting calories to joules translates thermal energy measurements into SI units. This is essential for modern scientific calculations, international publications, and combining energy data from different sources.
- Identify whether the value is in small calories (cal) or food Calories (kcal).
- For small calories: multiply by 4.184 to get joules.
- For food Calories (kcal): multiply by 4184 to get joules.
- Express the result in appropriate SI prefix (J, kJ, or MJ) based on magnitude.
Common Calories to Joules Conversions
Converting nutrition and chemistry calorie values to SI joules.
| Calorie | Joule |
|---|---|
| 1 cal | 4.184 J |
| 10 cal | 41.84 J |
| 100 cal | 418.4 J |
| 1 kcal (1 Cal) | 4184 J |
| 100 kcal | 418,400 J |
| 500 kcal | 2,092,000 J |
| 2000 kcal | 8,368,000 J |
Solved Examples: Calories to Joules Conversion
Question 1: A nutrition label shows 150 Calories per serving. Express in joules and kJ.
Solution:
150 Calories = 150 kcal.
Multiply by 4184: 150 × 4184 = 627,600 J.
Convert to kJ: 627,600 ÷ 1000 = 627.6 kJ.
Answer: 150 kcal = 627,600 J = 627.6 kJ
Question 2: A chemistry problem states that dissolving a salt absorbs 850 cal. How many joules?
Solution:
Start with 850 cal (small calories).
Multiply by 4.184: 850 × 4.184 = 3556.4 J.
This is about 3.56 kJ of endothermic energy.
Answer: 850 cal = 3556.4 J
Question 3: An athlete burns 3500 kcal during a marathon. Express total energy in MJ.
Solution:
Start with 3500 kcal.
Convert to J: 3500 × 4184 = 14,644,000 J.
Convert to MJ: 14,644,000 ÷ 1,000,000 = 14.644 MJ.
Answer: 3500 kcal = 14,644,000 J = 14.6 MJ
Practice: Calories to Joules Conversions
Try solving these on your own to test your understanding:
- Convert 250 cal to J. (Answer: 1046 J)
- A food has 320 kcal. Express in kJ. (Answer: ≈ 1338.9 kJ)
- Convert 50 cal to J. (Answer: 209.2 J)
- A snack has 180 kcal. How many joules? (Answer: 753,120 J)
- Convert 1 cal to mJ (millijoules). (Answer: 4184 mJ)
Why Science Moved from Calories to Joules
The joule was adopted as the SI energy unit in 1960 because it connects directly to mechanical and electrical quantities (1 J = 1 N⋅m = 1 W⋅s = 1 kg⋅m²/s²). The calorie, being defined by water properties, varies slightly with temperature and pressure. Using joules enables seamless calculation across thermal, mechanical, electrical, and chemical energy without conversion factors.
Metabolic Energy and Joules
The human body converts chemical energy (food) into mechanical work and heat. A 2000 kcal diet provides 8.37 MJ of chemical energy daily. Basal metabolism uses about 5.9 MJ/day (1400 kcal). Physical activity adds 2–8 MJ/day depending on intensity. Exercise scientists increasingly report energy expenditure in kJ rather than Calories in research publications.
Key Takeaways
- Multiply small calories by 4.184 to get joules.
- Multiply food Calories (kcal) by 4184 to get joules.
- Quick approximation: 1 kcal ≈ 4.2 kJ.
- Daily food energy: 2000 kcal ≈ 8.37 MJ.
- Joules are preferred in modern science for unit consistency.
- Always clarify whether "calories" means cal or kcal before converting.
Calorie to Joule Conversion Formula
joule = calorie × 4.1840000
1 calorie = 4.1840000 joule
1 joule = 0.2390057 calorie
Reverse: calorie = joule × 0.2390057
Frequently Asked Questions
How many joule are in 1 calorie?
There are 4.1840000 joule in 1 calorie. To convert calorie to joule, multiply the value by 4.1840000.
How do I convert calorie to joule?
Multiply your calorie value by 4.1840000 to get the equivalent in joule. For example, 5 calorie = 5 × 4.1840000 = 20.92000 joule.
How do I convert joule to calorie?
Multiply your joule value by 0.2390057 to get the equivalent in calorie. Alternatively, divide by 4.1840000.
What is 10 calorie in joule?
10 calorie is equal to 41.84000 joule.
What is 100 calorie in joule?
100 calorie is equal to 418.40000 joule.