Calorie

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A calorie is a unit of measurement for energy. In most fields, it has been replaced by the joule, the SI unit of energy. However, it remains in common use for the amount of energy obtained from food. Many different definitions for the calorie have emerged during the 19th and 20th century. They fall into two classes:

  • The small calorie or gram calorie approximates the energy needed to increase the temperature of 1 g of water by 1 °C. This is about 4.185 J.
  • The large calorie or kilogram calorie approximate the energy needed to increase the temperature of 1 kg of water by 1 °C. This is about 4.185 kJ, and exactly 1000 small calories.

In scientific contexts, the name "calorie" refers strictly to the gram calorie, and the unit has the symbol cal. SI prefixes are used with this name and symbol, so the kilogram calorie is known as the "kilocalorie" and has the symbol kcal.

Colloquially, and in nutrition and food labelling, the term "calorie" almost always refers to the kilogram calorie. This applies only to English text; if an energy measurement is given using a unit symbol then the scientific practice prevails there. A convention of capitalising "Calorie" to refer to the kilogram calorie, with uncapitalised "calorie" referring to the gram calorie, is sometimes proposed, but neither recognized in any official standards, nor commonly followed.

The conversion factor between calories and joules is numerically equivalent to the specific heat capacity of liquid water (in SI units).

Contents

Nutrition and food labels

Image:Nutrition-label.jpg

The "calorie" has become a common household term, because dietitians recommend in cases of obesity to reduce body weight by increasing exercise (energy expenditure) and reducing energy intake. Many governments require food manufacturers to label the energy content of their products, to help consumers control their energy intake. In Europe, manufacturers of prepackaged food must label the nutritional energy of their products in both kilocalories ("kcal") and kilojoules ("kJ"). In the United States, the equivalent mandatory labels display only "Calories" (meaning kilocalories); an additional kilojoules figure is optional. The energy content of food is usually given on labels for 100 g and for a typical service size.

The amount of food energy in a particular food could be measured by completely burning the dried food in a bomb calorimeter, a method known as direct calorimetry [1]. However, the values given on food labels are not determined this way, because it overestimates the amount of energy that the human digestive system can extract, by also burning dietary fiber. Instead, standardized chemical tests and an analysis of the recipe are used to estimate the product's digestable constitutents (protein, carbohydrate, fat, etc.). These results are then converted into an equivalent energy value based on a standardized table of energy densities:

food component energy density
kcal/g kJ/g
fat 9 37
ethanol (alcohol) 7 29
proteins 4 17
carbohydrates 4 17
organic acids 3 13
polyols (sugar-free sweeteners) 2.4 10

Other substances found in food (water, non-digestable fibre, minerals, vitamins) do not contribute to this calculated energy density.

Recommended daily energy intake values for young adults are: 2500 kcal/d (10 MJ/d, 120 W) for men and 2000 kcal/d (8 MJ/d, 100 W) for women. Children, sedentary and older people require less energy, physically active people more.

Versions

The energy needed to increase the temperature of 1 g of water by 1 °C varies depending on the starting temperature, and is in any case difficult to measure precisely. Accordingly there have been several definitions of the calorie:

  • 15 °C calorie: the amount of energy required to warm 1 g of air-free water from 14.5 °C to 15.5 °C at a constant pressure of 101.325 kPa (1 atm). Experimental values of this calorie ranged from 4.1852 J to 4.1858 J. The CIPM in 1950 published a mean experimental value of 4.1855 J, noting an uncertainty of 0.0005 J.
  • 20 °C calorie: the amount of energy required to warm 1 g of air-free water from 19.5 °C to 20.5 °C at a constant pressure of 101.325 kPa (1 atm). This is about 4.182 J.
  • 4 °C calorie: the amount of energy required to warm 1 g of air-free water from 3.5 °C to 4.5 °C at a constant pressure of 101.325 kPa (1 atm).
  • Mean calorie: 1/100 of the amount of energy required to warm 1 g of air-free water from 0 °C to 100 °C at a constant pressure of 101.325 kPa (1 atm). This is about 4.190 J
  • International Steam Table Calorie (1929): (1/860) W h = (180/43) J exactly. This is approximately 4.1860 J.
  • International Steam Table Calorie (1956): 1.163 mW h = 4.1868 J exactly. This definition was adopted by the Fifth International Conference on Properties of Steam (London, July 1956).
  • Thermochemical calorie: 4.184 J exactly.
  • IUNS calorie: 4.182 J exactly. This is a definition implied by the Committee on Nomenclature of the International Union of Nutritional Sciences (date and reference needed).

The two perhaps most popular definitions used in older literature are the "15 °C calorie" and the "thermochemical calorie". Since the many different definitions are a source of confusion and error, all calories are now deprecated in favour of the SI unit for heat and energy: the joule (J).

In nutrition, the difference between these calorie definitions is of no practical relevance. This is, because nutritional calories are not measured amounts of energy, but are calculated from food composition. Such calculations use internationally agreed conventional conversion factors, which are generously rounded values that roughly approximate the average energy density of a large number of different food samples. The exact composition of agricultural products varies far more than the less than 0.1% difference between the above definitions of the calorie as a physical energy measure.

Trivia

  • Unicode has a symbol for "cal": (㎈), but this is just a legacy code to accommodate old code pages in certain Asian languages, and it is not recommended for use in any language today.
  • The conventional value chosen to define a ton of TNT is equal to 1 billion thermochemical calories: 1 tTNT ≡ 1 × 109 calth. The actual energy liberated from the explosion is somewhat more; see megaton.
  • Human fat tissue contains about 87% lipids, which store about 9 kcal/g energy. Therefore, to lose 1 kg of body-fat tissue, the energy of about 870 g pure fat has to be used up, which corresponds to about 7800 kcal (32 MJ), that is one has to create a −7800 kcal deficit between energy intake and use. (In U.S. customary units, that is about 3500 kcal per pound.)

See also

External links

References

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