Calorie (th) to Kilocalorie (nutritional)
cal (th)
kcal
Conversion History
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Quick Reference Table (Calorie (th) to Kilocalorie (nutritional))
| Calorie (th) (cal (th)) | Kilocalorie (nutritional) (kcal) |
|---|---|
| 1 | 0.00099933123148944301 |
| 100 | 0.09993312314894430114 |
| 1,000 | 0.99933123148944301137 |
| 4,184 | 4.18120187255182955957 |
| 10,000 | 9.99331231489443011369 |
| 100,000 | 99.93312314894430113691 |
About Calorie (th) (cal (th))
The thermochemical calorie (cal th) is defined as exactly 4.184 joules — the amount of heat needed to raise one gram of water by one degree Celsius under controlled conditions. It was standardized in 1935 by the US National Bureau of Standards for use in thermochemical measurements. The thermochemical calorie differs slightly from the International Table calorie (4.1868 J) and the 15°C calorie (4.18580 J). It is primarily used in chemistry for reporting heats of reaction and combustion.
One thermochemical calorie is the energy needed to warm 1 mL of water by 1 °C. The heat of combustion of glucose is about 670 kcal (th) per mole.
About Kilocalorie (nutritional) (kcal)
The nutritional kilocalorie (kcal) is equal to 4,186.8 joules (the International Table definition) and is the practical energy unit for human nutrition and dietetics. In everyday speech, this is what most people mean by "calorie" — the unit shown on food packaging in the EU, UK, and many other countries. Daily energy intake recommendations, exercise energy expenditure, and basal metabolic rate are all expressed in kcal. The difference between kcal th (4,184 J) and kcal nutritional (4,186.8 J) is 0.067% — irrelevant for dietary purposes.
A slice of bread contains about 80 kcal. The average adult needs 1,600–2,500 kcal/day depending on sex, age, and activity level.
Calorie (th) – Frequently Asked Questions
What is the difference between a thermochemical calorie and an International Table calorie?
The thermochemical calorie (cal th) is defined as exactly 4.184 joules; the International Table calorie (cal IT) is exactly 4.1868 joules — a difference of 0.066%. The thermochemical value was fixed by the US National Bureau of Standards in 1935 for chemistry; the IT value was adopted for steam tables. In nutritional contexts, the difference is irrelevant, but in precise calorimetry it can matter.
Why do chemists still use thermochemical calories instead of joules?
Decades of published thermochemical data — heats of formation, bond energies, combustion enthalpies — are recorded in cal th and kcal th. Converting every reference table to joules would be error-prone and disruptive. Biochemistry textbooks still quote ATP hydrolysis at ~7.3 kcal/mol and glucose oxidation at ~686 kcal/mol. The convention persists because the existing literature is too vast to rewrite.
How does a bomb calorimeter actually measure the calories in food?
A dried, weighed food sample is sealed in a steel vessel filled with pure oxygen, submerged in a known mass of water. An electric spark ignites the sample, which burns completely. The temperature rise of the surrounding water — measured to 0.001°C — gives the total heat released. One degree rise per gram of water equals one calorie. Corrections for the heat capacity of the bomb itself, the ignition wire, and acid formation give results accurate to ±0.1%. Atwater then applied digestibility factors to convert bomb values to usable food energy.
What is the heat of combustion of common fuels in thermochemical calories?
Hydrogen releases about 34,000 cal th per gram; methane about 13,300 cal th/g; ethanol about 7,100 cal th/g; and glucose about 3,720 cal th/g. These values appear throughout chemistry textbooks as standard reference data. The higher the cal/g value, the more energy-dense the fuel — which is why hydrogen is attractive despite being hard to store.
Why did the 1935 NBS definition fix the thermochemical calorie at exactly 4.184 joules?
Before 1935, the calorie was defined by water's heat capacity, which varies with temperature — the 15°C calorie, 20°C calorie, and mean calorie all differed slightly. The US National Bureau of Standards ended the ambiguity by defining the thermochemical calorie as exactly 4.184 J, a round value close to all the experimental variants. This gave chemists a fixed, reproducible conversion factor independent of water's quirky temperature-dependent heat capacity.
Kilocalorie (nutritional) – Frequently Asked Questions
How many kilocalories should I eat per day to lose weight?
Most weight-loss guidelines recommend a deficit of 500 kcal/day below your maintenance level, which typically means 1,200–1,800 kcal/day for most adults. A 500 kcal/day deficit yields roughly 0.45 kg (1 lb) of fat loss per week, since one kilogram of body fat stores about 7,700 kcal. Going below 1,200 kcal/day is generally not recommended without medical supervision.
Why do nuts and almonds have fewer usable calories than their labels suggest?
Almond cell walls are rigid and resist digestion — about 20% of the fat in whole almonds passes through the gut unabsorbed. A USDA study found that almonds provide ~129 kcal per 28 g serving, not the 170 kcal on the label. Walnuts and pistachios show similar discrepancies of 5–20%. Food labels use standard Atwater factors that assume full digestibility, which overestimates usable energy for structurally intact whole foods like nuts, seeds, and legumes.
How many kcal are in one gram of fat, protein, and carbohydrate?
The Atwater system assigns 9 kcal per gram of fat, 4 kcal per gram of protein, and 4 kcal per gram of carbohydrate. Alcohol provides 7 kcal/g. These rounded values have been the basis of food labeling since the 1890s. Actual digestibility varies — fiber-rich carbohydrates yield fewer usable kcal because the body cannot fully break them down.
How many kcal does running a marathon burn?
A marathon (42.195 km) burns approximately 2,200–3,200 kcal depending on body weight, pace, and efficiency. A 70 kg runner typically burns about 2,600 kcal; an 85 kg runner about 3,100 kcal. That is roughly equivalent to 35 bananas or 13 slices of pizza. Elite runners complete the distance in about 2 hours, so their metabolic rate during the race exceeds 1,300 kcal/hour.
Why is the nutritional kilocalorie based on the International Table calorie rather than the thermochemical calorie?
The International Table calorie (4.1868 J) was adopted by the Fifth International Conference on Properties of Steam in 1956 and became the standard for engineering and nutrition. The thermochemical calorie (4.184 J) was standardized earlier for chemistry. Nutritionists chose the IT value because food energy intersects more with engineering standards (steam tables, heating) than pure chemistry. The 0.07% difference is negligible for dietary purposes.