# Calorie

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A 710-millilitre (24 US fl oz) energy drink with 330 kcal, more than a fast-food cheeseburger, and the equivalent of 18 single-serving packets of sugar

The calorie is a unit of energy.

There are actually two units with the name that have been widely used. The small calorie or gram calorie (usually denoted cal) is the amount of heat energy needed to raise the temperature of one gram of water by one degree Celsius (or one kelvin). The large calorie, food calorie, or kilocalorie (Cal or kcal) is the amount of heat needed to cause the same increase on one kilogram of water.[1] Thus, 1 kcal = 1000 cal.

The large calorie is sometimes written Calorie (with a capital C) to distinguish from the other unit. However, this convention cannot be relied upon, since it is often ignored – especially in non-technical publications.[2]

Although both units are related to the metric system, they have been considered obsolete, or deprecated, in scientific usage, since the adoption of the SI system.[3] The SI unit of energy is the joule, with symbol "J" (since 1889); one small calorie is now defined as exactly 4.184 J, and one large calorie is 4184 J.

However, the two units are still used occasionally in technical work, and the large calorie is still widely used in nutrition. In most countries, the labels of industrialized food products are required to indicate the nutritional energy value in (large) calories per serving or per weight.

## History

The calorie was first introduced by Nicolas Clément in lectures during the period of 1819–1824 as a unit of heat energy (the "large" calorie, viz. modern kcal).[3][4] It entered French and English dictionaries between 1841 and 1867. The word comes from Latin calor, meaning 'heat'. The "small" calorie (modern cal) was introduced by Pierre Antoine Favre (Chemist) and Johann T. Silbermann (Physicist) in 1852. In 1879, Marcellin Berthelot distinguished between g-calorie (modern cal) and kg-calorie (modern kcal).[4] Berthelot also introduced the convention of capitalizing the kg-calorie, as Calorie. The use of the kg-calorie (kcal) for nutrition was introduced to the American public by Wilbur Olin Atwater, a professor at Wesleyan University, in 1887.[3] The modern calorie (cal) was first recognized as a unit of the cm-g-s system (cgs), in 1896,[4] alongside the existing cgs unit of energy, the erg, first suggested by Clausius in 1864 (under the name ergon), and officially adopted in 1882. The joule was adopted as equivalent to 107 erg in 1889. Use of the calorie was officially deprecated by ninth General Conference on Weights and Measures, in 1948.[5]

The alternate spelling calory is archaic.

## Definitions

The (small) calorie was intended to be the amount energy needed to increase the temperature of 1 gram of water by 1 °C (or 1 K, which is the same increment). That amount however depends on the atmospheric pressure and the starting temperature. Accordingly, several different precise definitions of the calorie have been used.

Name Symbol Conversions Definition and notes
Thermochemical calorie calth 4.184 J

≈ 0.003964 BTU ≈ 1.162×10−6 kWh ≈ 2.611×1019 eV

The amount of energy equal to exactly 4.184 joules [6][7][8] (a)
4 °C calorie cal4 ≈ 4.204 J

≈ 0.003985 BTU ≈ 1.168×10−6 kWh ≈ 2.624×1019 eV

The amount of energy required to warm one gram of air-free water from 3.5 to 4.5 °C at standard atmospheric pressure. (c)
15 °C calorie cal15 ≈ 4.1855 J

≈ 0.0039671 BTU ≈ 1.1626×10−6 kWh ≈ 2.6124×1019 eV

The amount of energy required to warm one gram of air-free water from 14.5 to 15.5 °C at standard atmospheric pressure. (c) 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.[6]
20 °C calorie cal20 ≈ 4.182 J

≈ 0.003964 BTU ≈ 1.162×10−6 kWh ≈ 2.610×1019 eV

The amount of energy required to warm one gram of air-free water from 19.5 to 20.5 °C at standard atmospheric pressure. (c)
Mean calorie calmean ≈ 4.190 J

≈ 0.003971 BTU ≈ 1.164×10−6 kWh ≈ 2.615×1019 eV

Defined as ​1100 of the amount of energy required to warm one gram of air-free water from 0 to 100 °C at standard atmospheric pressure. (c)
International Steam table calorie (1929) ≈ 4.1868 J

≈ 0.0039683 BTU ≈ 1.1630×10−6 kWh ≈ 2.6132×1019 eV

Defined as ​1860 "international" watt hours = ​18043 "international" joules exactly. (b)
International Steam Table calorie (1956) calIT ≡ 4.1868 J

≈ 0.0039683 BTU = 1.1630×10−6 kWh ≈ 2.6132×1019 eV

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).[6]
(a) 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.[9]
(b) The figure depends on the conversion factor between "international joules" and "absolute" (modern, SI) joules. Using the mean international ohm and volt (1.00049 Ω, 1.00034 V[10]), the "international joule" is about 1.00019 J, using the US international ohm and volt (1.000495 Ω, 1.000330 V) it is about 1.000165 J, giving 4.18684 and 4.18674 J, respectively.
(c) The standard atmospheric pressure can be taken to be 101.325 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.[7]

The calorie was first defined specifically to measure energy in the form of heat, especially in experimental calorimetry.[11]

## Nutrition

In a nutritional context, the kilojoule (kJ) is the SI unit of food energy, although the kilocalorie is still in common use.[12] The word calorie is popularly used with the number of kilocalories of nutritional energy measured. To avoid confusion, it is sometimes written Calorie (with a capital "C") to make the distinction, although this is not widely understood (in part because capitalization contravenes the SI rule that the initial letter of a unit name or its derivative shall be lower case in English).[13]

To facilitate comparison, specific energy or energy density figures are often quoted as "calories per serving" or "kilocalories per 100 g". A nutritional requirement or consumption is often expressed in calories per day. One gram of fat in food contains nine calories, while a gram of either a carbohydrate or a protein contains approximately four calories.[14] Alcohol in a food contains seven calories per gram.[15]

## Chemistry

In other scientific contexts, the term calorie almost always refers to the small calorie. Even though it is not an SI unit, it is still used in chemistry. For example, the energy released in a chemical reaction per mole of reagent is occasionally expressed in kilocalories per mole.[16] Typically, this use was largely due to the ease with which it could be calculated in laboratory reactions, especially in aqueous solution: a volume of reagent dissolved in water forming a solution, with concentration expressed in moles per litre (1 litre weighing 1 kg), will induce a temperature change in degrees Celsius in the total volume of water solvent, and these quantities (volume, molar concentration and temperature change) can then be used to calculate energy per mole. It is also occasionally used to specify energy quantities that relate to reaction energy, such as enthalpy of formation and the size of activation barriers.[17] However, its use is being superseded by the SI unit, the joule, and multiples thereof such as the kilojoule.

## Measurement of energy content of food

In the past, a bomb calorimeter was used to determine the energy content of food by burning a sample and measuring a temperature change in the surrounding water. Today, this method is not commonly used in the US and has been succeeded by calculating the energy content indirectly from adding up the energy provided by energy-containing nutrients of food (such as protein, carbohydrates, and fats). The fibre content is also subtracted to account for the fact that fibre is not digested by the body.[14]

## References

1. ^ "Definition of Calorie". Merriam-Webster. August 1, 2017. Retrieved September 4, 2017.
2. ^ Conn, Carole; Len Kravitz. "Remarkable Calorie". University of New Mexico. Retrieved 1 March 2019.
3. ^ a b c Hargrove, James L (2007). "Does the history of food energy units suggest a solution to "Calorie confusion"?". Nutrition Journal. 6 (44). doi:10.1186/1475-2891-6-44. PMC 2238749. PMID 18086303. Retrieved 31 August 2013.
4. ^ a b c JL Hargrove, "History of the calorie in nutrition", J Nutr 136/12 (December 2006), pp. 2957–2961.
5. ^
6. ^ a b c 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.
7. ^ a b Rossini, Fredrick (1964). "Excursion in Chemical Thermodynamics, from the Past into the Future". Pure and Applied Chemistry. 8 (2): 107. doi:10.1351/pac196408020095. Retrieved 21 January 2013. both the IT calorie and the thermochemical calorie are completely independent of the heat capacity of water.
8. ^ Lynch, Charles T. (1974). Handbook of Materials Science: General Properties, Volume 1. CRC Press. p. 438. Retrieved 8 March 2014.
9. ^
10. ^ International Union of Pure and Applied Chemistry (IUPAC) (1997). "1.6 Conversion tables for units". Compendium of Analytical Nomenclature (PDF) (3 ed.). ISBN 0-86542-615-5. Retrieved 31 August 2013.
11. ^ Allain, Rhett (February 23, 2016). "Calculating Calories by Burning Gummy Bears to Death". Scientific American. Retrieved September 7, 2017.
12. ^ "Prospects improve for food energy labelling using SI units". Metric Views. UK Metric Association. 24 February 2012. Retrieved 17 April 2013.
13. ^ "SI Conventions". National Physical Laboratory. Retrieved 8 February 2016.
14. ^ a b "How Do Food Manufacturers Calculate the Calorie Count of Packaged Foods?". Scientific American. Retrieved 2017-09-08.
15. ^
16. ^ Zvi Rappoport ed. (2007), "The Chemistry of Peroxides", Volume 2 page 12.
17. ^ Bhagavan, N. V. (2002). Medical Biochemistry. Academic Press. pp. 76–77. ISBN 9780120954407. Retrieved 5 September 2017.