Calorie

{{short description|Unit of energy used in nutrition}}

{{Redirect|kcal|text=This article is about the unit of energy. For other uses, see KCAL (disambiguation) and Calorie (disambiguation).}}

{{Infobox unit

| name = calorie

| image = Energy drink and fast food cheeseburger calorie comparison.jpg

| caption = A {{convert|24|USfloz|ml|adj=on|order=flip}} Monster energy drink with 330 large calories

| quantity = energy

| symbol = cal

| units1 = SI units

| inunits1 = 4.184 J

}}

The calorie is a unit of energy that originated from the caloric theory of heat. The large calorie, food calorie, dietary calorie, kilocalorie, or kilogram calorie is defined as the amount of heat needed to raise the temperature of one liter of water by one degree Celsius (or one kelvin). The small calorie or gram calorie is defined as the amount of heat needed to cause the same increase in one milliliter of water. Thus, 1 large calorie is equal to 1,000 small calories.

In nutrition and food science, the term calorie and the symbol cal may refer to the large unit or to the small unit in different regions of the world. It is generally used in publications and package labels to express the energy value of foods in per serving or per weight, recommended dietary caloric intake, metabolic rates, etc. Some authors recommend the spelling Calorie and the symbol Cal (both with a capital C) if the large calorie is meant, to avoid confusion; however, this convention is often ignored.

In physics and chemistry, the word calorie and its symbol usually refer to the small unit, the large one being called kilocalorie (kcal). However, the kcal is not officially part of the International System of Units (SI), and is regarded as obsolete, having been replaced in many uses by the SI derived unit of energy, the joule (J), or the kilojoule (kJ) for 1000 joules.

The precise equivalence between calories and joules has varied over the years, but in thermochemistry and nutrition it is now generally assumed that one (small) calorie (thermochemical calorie) is equal to exactly 4.184 J, and therefore one kilocalorie (one large calorie) is 4184 J or 4.184 kJ.

History

The term "calorie" comes {{ety|la|calor|heat}}.{{cite encyclopedia |title="Calorie." |encyclopedia=Merriam-Webster.com Dictionary |url=https://www.merriam-webster.com/dictionary/calorie |access-date=2024-03-20 }} It was first introduced by Nicolas Clément, as a unit of heat energy, in lectures on experimental calorimetry during the years 1819–1824. This was the "large" calorie. The term (written with lowercase "c") entered French and English dictionaries between 1841 and 1867.

The same term was used for the "small" unit by Pierre Antoine Favre (chemist) and Johann T. Silbermann (physicist) in 1852.

In 1879, Marcellin Berthelot distinguished between gram-calorie and kilogram-calorie, and proposed using "Calorie", with capital "C", for the large unit. This usage was adopted by Wilbur Olin Atwater, a professor at Wesleyan University, in 1887, in an influential article on the energy content of food.

The smaller unit was used by U.S. physician Joseph Howard Raymond, in his classic 1894 textbook A Manual of Human Physiology. He proposed calling the "large" unit "kilocalorie", but the term did not catch on until some years later.

The small calorie (cal) was recognized as a unit of the CGS system in 1896, alongside the already-existing CGS unit of energy, the erg (first suggested by Clausius in 1864, under the name ergon, and officially adopted in 1882).

In 1928, there were already serious complaints about the possible confusion arising from the two main definitions of the calorie and whether the notion of using the capital letter to distinguish them was sound.

The joule was the officially adopted SI unit of energy at the ninth General Conference on Weights and Measures in 1948. The calorie was mentioned in the 7th edition of the SI brochure as an example of a non-SI unit.

The alternate spelling {{linktext|calory}} is a less-common, non-standard variant.

Definitions

The "small" calorie is broadly defined as the amount of energy needed to increase the temperature of 1 gram of water by 1 °C (or 1 K, which is the same increment, a gradation of one percent of the interval between the melting point and the boiling point of water). The actual amount of energy required to accomplish this temperature increase depends on the atmospheric pressure and the starting temperature; different choices of these parameters have resulted in several different precise definitions of the unit.

class=wikitable
NameSymbolConversionsDefinition and notes
valign=top

| Thermochemical calorie

calth

| ≡ {{val|4.184|ul=J}}

≈ {{val|0.003964|ul=BTU}}

≈ {{val|1.162|e=-6|ul=kW.h}}

≈ {{val|2.611|e=19|ul=eV}}

| The amount of energy equal to exactly 4.184 J (joules) and 1 kJ ≈ 0.239 kcal.{{efn|name=thermochemical}}

valign=top

| 4 °C calorie

cal4

| ≈ 4.204 J

≈ {{val|0.003985|u=BTU}}

≈ {{convert|4.204|J|kW.h|disp=output only}}

≈ {{convert|4.204|J|eV|disp=output only}}

| The amount of energy required to warm one gram of air-free water from 3.5 to 4.5 °C at standard atmospheric pressure.{{efn|name=pressure}}

valign=top

| 15 °C calorie

cal15

| ≈ 4.1855 J

≈ {{val|0.0039671|u=BTU}}

≈ {{convert|4.1855|J|kW.h|disp=output only}}

≈ {{convert|4.1855|J|eV|disp=output only}}

| The amount of energy required to warm one gram of air-free water from 14.5 to 15.5 °C at standard atmospheric pressure.{{efn|name=pressure}} Experimental values of this calorie ranged from 4.1852 to 4.1858 J. The CIPM in 1950 published a mean experimental value of 4.1855 J, noting an uncertainty of 0.0005 J.

valign=top

| 20 °C calorie

cal20

| ≈ 4.182 J

≈ {{val|0.003964|u=BTU}}

≈ {{convert|4.182|J|kW.h|disp=output only}}

≈ {{convert|4.182|J|eV|disp=output only}}

| The amount of energy required to warm one gram of air-free water from 19.5 to 20.5 °C at standard atmospheric pressure.{{efn|name=pressure}}

valign=top

| Mean calorie

calmean

| ≈ 4.190 J

≈ {{val|0.003971|u=BTU}}

≈ {{convert|4.190|J|kW.h|disp=output only}}

≈ {{convert|4.190|J|eV|disp=output only}}

| Defined as {{frac|100}} of the amount of energy required to warm one gram of air-free water from 0 to 100 °C at standard atmospheric pressure.{{efn|name=pressure}}

valign=top

| International Steam Table calorie (1929)

| ≈ 4.1868 J

≈ {{val|0.0039683|u=BTU}}

≈ {{convert|4.1868|J|kW.h|disp=output only}}

≈ {{convert|4.1868|J|eV|disp=output only}}

| Defined as {{frac|860}} "international" watt hours = {{frac|180|43}} "international" joules exactly.{{efn|The figure depends on the conversion factor between "international joules" and "absolute" (modern, SI) joules. Using the mean international ohm and volt ({{val|1.00049|u=Ω}}, {{val|1.00034|u=V}}), the "international joule" is about {{val|1.00019|u=J}}, using the US international ohm and volt ({{val|1.000495|u=Ω}}, {{val|1.000330|u=V}}) it is about {{val|1.000165|u=J}}, giving {{val|4.18684}} and {{val|4.18674|u=J}}, respectively.}}

valign=top

| International Steam Table calorie (1956)

calIT

| ≡ 4.1868 J

≈ {{val|0.0039683|u=BTU}}

= {{convert|4.1868|J|kW.h|disp=output only}}

≈ {{convert|4.1868|J|eV|disp=output only}}

| Defined as 1.163 mW⋅h = 4.1868 J exactly. This definition was adopted by the Fifth International Conference on Properties of Steam (London, July 1956).

{{notelist|refs=

{{efn|name=thermochemical|The 'Thermochemical calorie' was defined by Rossini simply as 4.1833 international joules in order to avoid the difficulties associated with uncertainties about the heat capacity of water. It was later redefined as 4.1840 J exactly.{{refn|name=FAO1971}}}}

{{efn|name=pressure|The standard atmospheric pressure can be taken to be {{val|101.325|u=kPa}}.}}

}}

The two definitions most common in older literature appear to be the 15 °C calorie and the thermochemical calorie. Until 1948, the latter was defined as 4.1833 international joules; the current standard of 4.184 J was chosen to have the new thermochemical calorie represent the same quantity of energy as before.

Usage

=Nutrition=

In the United States and Canada, in a nutritional context, the "large" unit is used almost exclusively.{{Cite journal |last=Nutrition |first=Center for Food Safety and Applied |date=7 March 2022 |title=Changes to the Nutrition Facts Label |url=https://www.fda.gov/food/food-labeling-nutrition/changes-nutrition-facts-label |archive-url=https://web.archive.org/web/20190518044608/https://www.fda.gov/food/food-labeling-nutrition/changes-nutrition-facts-label |url-status=dead |archive-date=May 18, 2019 |journal=FDA |language=en}}{{Cite web |last= |title=Elements within the Nutrition Facts table |url=https://inspection.canada.ca/en/food-labels/labelling/industry/nutrition-labelling/elements-within-nutrition-facts-table#s2c1 |url-status=live |archive-url=http://web.archive.org/web/20240625213453/https://inspection.canada.ca/en/food-labels/labelling/industry/nutrition-labelling/elements-within-nutrition-facts-table |archive-date=2024-06-25 |access-date=2025-04-23 |website=Canadian Food Inspection Agency |language=en}} It is generally written "calorie" with lowercase "c" and symbol "cal", even in government publications. The SI unit kilojoule (kJ) may be used instead, in legal or scientific contexts. Most American nutritionists prefer the unit kilocalorie to the unit kilojoules, whereas most physiologists prefer to use kilojoules. In the majority of other countries, nutritionists prefer the kilojoule to the kilocalorie.

In the European Union, on nutrition facts labels, energy is expressed in both kilojoules and kilocalories, abbreviated as "kJ" and "kcal" respectively.{{Cite web |title=EU Regulation No 1169/2011 of the European Parliament and of the Council of 25 October 2011 on the provision of food information to consumers |url=https://eur-lex.europa.eu/eli/reg/2011/1169/oj#d1e2548-18-1 |access-date=18 April 2022 |website=EUR-Lex |language=en}}

In China, only kilojoules are given.{{Cite web |last=USDA |date=2013 |title=China, General Rules for Nutrition Labeling of Prepackaged Foods |url=https://apps.fas.usda.gov/newgainapi/api/report/downloadreportbyfilename?filename=General%20Rules%20for%20Nutrition%20Labeling%20of%20Prepackaged%20Foods%20_Beijing_China%20-%20Peoples%20Republic%20of_1-9-2013.pdf |access-date=18 April 2022}}

=Food energy=

The unit is most commonly used to express food energy, namely the specific energy (energy per mass) of metabolizing different types of food. For example, fat (triglyceride lipids) contains 9 kilocalories per gram (kcal/g), while carbohydrates (sugar and starch) and protein contain approximately 4 kcal/g. Alcohol in food contains 7 kcal/g.{{Cite web|url=http://www.nutristrategy.com/nutrition/calories.htm|title=Calories - Fat, Protein, Carbohydrates, Alcohol. Calories per gram|website=Nutristrategy }} The "large" unit is also used to express recommended nutritional intake or consumption, as in "calories per day".

Dieting is the practice of eating food in a regulated way to decrease, maintain, or increase body weight, or to prevent and treat diseases such as diabetes and obesity. As weight loss depends on reducing caloric intake, different kinds of calorie-reduced diets have been shown to be generally effective.{{Cite journal |last=Strychar |first=I. |date=3 January 2006 |title=Diet in the management of weight loss |journal=Canadian Medical Association Journal |volume=174 |issue=1 |pages=56–63 |doi=10.1503/cmaj.045037 |issn=0820-3946 |pmc=1319349 |pmid=16389240}}

=Chemistry and physics=

In other scientific contexts, the term "calorie" and the symbol "cal" almost always refers to the small unit; the "large" unit being generally called "kilocalorie" with symbol "kcal". It is mostly used to express the amount of energy released in a chemical reaction or phase change, typically per mole of substance, as in kilocalories per mole. It is also occasionally used to specify other energy quantities that relate to reaction energy, such as enthalpy of formation and the size of activation barriers. However, it is increasingly being superseded by the SI unit, the joule (J); and metric multiples thereof, such as the kilojoule (kJ).{{citation needed|date=March 2023}}

The lingering use in chemistry is largely because the energy released by a reaction in aqueous solution, expressed in kilocalories per mole of reagent, is numerically close to the concentration of the reagent in moles per liter multiplied by the change in the temperature of the solution in kelvins or degrees Celsius. However, this estimate assumes that the volumetric heat capacity of the solution is 1 kcal/(LK), which is not exact even for pure water.{{citation needed|date=March 2023}}

See also

References

{{reflist|30em|refs=

{{Cite journal |last=Rossini |first=Fredrick |author-link=Frederick Rossini |year=1964 |title=Excursion in Chemical Thermodynamics, from the Past into the Future |url=http://iupac.org/publications/pac/8/2/0095/ |journal=Pure and Applied Chemistry |volume=8 |issue=2 |page=107 |doi=10.1351/pac196408020095 |access-date=21 January 2013 |quote=both the IT calorie and the thermochemical calorie are completely independent of the heat capacity of water. |doi-access=free|url-access=subscription }}

{{Cite web |date=1 August 2017 |title=Definition of Calorie |url=https://www.merriam-webster.com/dictionary/calorie |access-date=4 September 2017 |website=Merriam-Webster}}

{{Cite book |last=International Union of Pure and Applied Chemistry (IUPAC) |url=https://archive.org/details/compendiumofanal0000unse |title=Compendium of Analytical Nomenclature |year=1997 |isbn=0-86542-615-5 |edition=3 |chapter=1.6 Conversion tables for units |publisher=Institut d'Estudis Catalans |author-link=International Union of Pure and Applied Chemistry |access-date=31 August 2013 |chapter-url=http://iupac.org/publications/analytical_compendium/Cha01sec6.pdf |archive-url=https://web.archive.org/web/20031016030854/http://www.iupac.org/publications/analytical_compendium/Cha01sec6.pdf |archive-date=2003-10-16 |url-status=live |url-access=registration}}

Zvi Rappoport ed. (2007), [https://books.google.com/books?id=4PdYwo25VP8C&pg=PA12 "The Chemistry of Peroxides"], Volume 2 page 12.

{{refn|name=FAO1971|{{Cite web |last=FAO |author-link=FAO |year=1971 |title=The adoption of joules as units of energy |url=http://www.fao.org/docrep/meeting/009/ae906e/ae906e17.htm}}}}

United Nations Food and Agriculture Organization (2003): "[http://www.fao.org/docrep/006/Y5022E/y5022e04.htm FAO Food and Nutrition Paper 77: Food energy - methods of analysis and conversion factors] {{Webarchive|url=https://web.archive.org/web/20100524003622/http://www.fao.org/DOCREP/006/Y5022E/y5022e04.htm |date=2010-05-24 }}". Accessed on 21 January 2022.

JL Hargrove, "history of the calorie in nutrition", J Nutr 136/12 (December 2006), pp. 2957–2961.

{{Cite journal |last=Hargrove |first=James L |year=2007 |title=Does the history of food energy units suggest a solution to "Calorie confusion"? |journal=Nutrition Journal |volume=6 |issue=44 |pages=44 |doi=10.1186/1475-2891-6-44 |pmc=2238749 |pmid=18086303 |doi-access=free }}

International Standard ISO 31-4: Quantities and units, Part 4: Heat. Annex B (informative): Other units given for information, especially regarding the conversion factor. International Organization for Standardization, 1992.

{{Cite news |title=How Do Food Manufacturers Calculate the Calorie Count of Packaged Foods? |language=en |work=Scientific American |url=https://www.scientificamerican.com/article/how-do-food-manufacturers/ |access-date=8 September 2017}}

"[https://www.bipm.org/en/committees/cg/cgpm/9-1948/resolution-3 Resolution 3 of the 9th CGPM (1948): Triple point of water; thermodynamic scale with a single fixed point; unit of quantity of heat (joule)]", BIPM. {{Webarchive|url=https://web.archive.org/web/20210614063830/https://www.bipm.org/en/committees/cg/cgpm/9-1948/resolution-3 |date=2021-06-14 }}.

Bureau International des Poids et Mesures (2019): [https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf/2d2b50bf-f2b4-9661-f402-5f9d66e4b507?version=1.10 The International System of Units (SI)] {{Webarchive|url=https://web.archive.org/web/20220120160044/https://www.bipm.org/documents/20126/41483022/SI-Brochure-9-EN.pdf/2d2b50bf-f2b4-9661-f402-5f9d66e4b507?version=1.10 |date=2022-01-20 }}, 9th edition.

Bureau International des Poids et Mesures (1998): [https://www.bipm.org/documents/20126/41483022/si_brochure_7.pdf/36560ee5-8292-a297-ffe6-cbdf729c22a6?version=1.5 The International System of Units (SI)] {{Webarchive|url=https://web.archive.org/web/20220120160044/https://www.bipm.org/documents/20126/41483022/si_brochure_7.pdf/36560ee5-8292-a297-ffe6-cbdf729c22a6?version=1.5 |date=2022-01-20 }}, 7th edition.

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{{Cite web |last1=Conn |first1=Carole |last2=Len Kravitz |title=Remarkable Calorie |url=http://www.unm.edu/~lkravitz/Article%20folder/remarkablecalorie.html |access-date=1 March 2019 |publisher=University of New Mexico}}

{{Cite book |last=Bhagavan |first=N. V. |url=https://books.google.com/books?id=b7Dc9bOs9uAC&q=calorie+%22activation+barrier%22&pg=PA76 |title=Medical Biochemistry |date=2002 |publisher=Academic Press |isbn=9780120954407 |pages=76–77 |language=en |access-date=5 September 2017}}

{{Cite journal |last=Marks |first=Percy L. |date=14 January 1928 |title=The Two Calories, Percy L. Marks |journal=Nature |volume=121 |issue=3037 |pages=58 |doi=10.1038/121058d0 |doi-access=free |s2cid=4068300}}

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Christopher W. Morris (1992) Academic Press Dictionary of Science and Technology. 2432 pages. {{isbn|9780122004001}}

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Category:Units of energy

Category:Heat transfer

Category:Non-SI metric units