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Litre

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This article is about a common unit of volume. For the plant commonly known as litre, see Lithraea caustica.

The litre (Commonwealth spelling) or liter (American spelling) (SI symbols L and l,[1] other symbol used: ℓ) is a metric unit of volume. It is equal to 1 cubic decimetre (dm3), 1000 cubic centimetres (cm3) or 0.001 cubic metres (m3). A cubic decimetre (or litre) occupies a volume of 10 cm × 10 cm × 10 cm (see figure) and is thus equal to one-thousandth of a cubic metre.

litre
One litre is equal to the volume of a cubic decimetre.
General information
Unit systemNon-SI unit accepted for use with SI
Unit ofvolume
SymbolL, l[1]
Named afterlitron
Conversions
1 L in ...... is equal to ...
   SI base unit   10−3 m3
   U.S. customary   ≈ 0.264 gallon
One-litre beer mugs (German: Maßkrüge) at the 2006 Oktoberfest in Germany

The original French metric system used the litre as a base unit. The word litre is derived from an older French unit, the litron, whose name came from Byzantine Greek—where it was a unit of weight, not volume[2]—via Late Medieval Latin, and which equalled approximately 0.831 litres. The litre was also used in several subsequent versions of the metric system and is accepted for use with the SI,[3] although not an SI unit—the SI unit of volume is the cubic metre (m3). The spelling used by the International Bureau of Weights and Measures is "litre",[3] a spelling which is shared by most English-speaking countries. The spelling "liter" is predominantly used in American English.[a]

One litre of liquid water has a mass of almost exactly one kilogram, because the kilogram was originally defined in 1795 as the mass of one cubic decimetre of water at the temperature of melting ice (0 °C).[4] Subsequent redefinitions of the metre and kilogram mean that this relationship is no longer exact.[5]

Definition

 
Some SI units of volume to scale and approximate corresponding mass of water

A litre is a cubic decimetre, which is the volume of a cube 10 centimetres × 10 centimetres × 10 centimetres (1 L ≡ 1 dm3 ≡ 1000 cm3). Hence 1 L ≡ 0.001 m3 ≡ 1000 cm3; and 1 m3 (i.e. a cubic metre, which is the SI unit for volume) is exactly 1000 L.

From 1901 to 1964, the litre was defined as the volume of one kilogram of pure water at maximum density (+3.98 °C)[citation needed] and standard pressure. The kilogram was in turn specified as the mass of the International Prototype of the Kilogram (a specific platinum/iridium cylinder) and was intended to be of the same mass as the 1 litre of water referred to above. It was subsequently discovered that the cylinder was around 28 parts per million too large and thus, during this time, a litre was about 1.000028 dm3. Additionally, the mass–volume relationship of water (as with any fluid) depends on temperature, pressure, purity and isotopic uniformity. In 1964, the definition relating the litre to mass was superseded by the current one. Although the litre is not an SI unit, it is accepted by the CGPM (the standards body that defines the SI) for use with the SI. CGPM defines the litre and its acceptable symbols.

A litre is equal in volume to the millistere, an obsolete non-SI metric unit formerly customarily used for dry measure.

Explanation

Litres are most commonly used for items (such as fluids and solids that can be poured) which are measured by the capacity or size of their container, whereas cubic metres (and derived units) are most commonly used for items measured either by their dimensions or their displacements. The litre is often also used in some calculated measurements, such as density (kg/L), allowing an easy comparison with the density of water.

One litre of water has a mass of almost exactly one kilogram when measured at its maximal density, which occurs at about 4 °C. It follows, therefore, that 1000th of a litre, known as one millilitre (1 mL), of water has a mass of about 1 g; 1000 litres of water has a mass of about 1000 kg (1 tonne or megagram). This relationship holds because the gram was originally defined as the mass of 1 mL of water; however, this definition was abandoned in 1799 because the density of water changes with temperature and, very slightly, with pressure.

It is now known that the density of water also depends on the isotopic ratios of the oxygen and hydrogen atoms in a particular sample. Modern measurements of Vienna Standard Mean Ocean Water, which is pure distilled water with an isotopic composition representative of the average of the world's oceans, show that it has a density of 0.999975±0.000001 kg/L at its point of maximum density (3.984 °C) under one standard atmosphere (101.325 kPa) of pressure.[6]

SI prefixes applied to the litre

The litre, though not an official SI unit, may be used with SI prefixes. The most commonly used derived unit is the millilitre, defined as one-thousandth of a litre, and also often referred to by the SI derived unit name "cubic centimetre". It is a commonly used measure, especially in medicine, cooking and automotive engineering. Other units may be found in the table below, where the more often used terms are in bold. However, some authorities advise against some of them; for example, in the United States, NIST advocates using the millilitre or litre instead of the centilitre.[7] There are two international standard symbols for the litre: L and l. In the United States the former is preferred because of the risk that (in some fonts) the letter l and the digit 1 may be confused.[8]

Multiple Name Symbols Equivalent volume
10−30 L quectolitre ql qL 103 pm3 thousand cubic picometres
10−27 L rontolitre rl rL 106 pm3 million cubic picometres
10−24 L yoctolitre yl yL nm3 cubic nanometre
10−21 L zeptolitre zl zL 103 nm3 thousand cubic nanometres
10−18 L attolitre al aL 106 nm3 million cubic nanometres
10−15 L femtolitre fl fL μm3 cubic micrometre
10−12 L picolitre pl pL 103 μm3 thousand cubic micrometres
10−9 L nanolitre nl nL 106 μm3 million cubic micrometres
10−6 L microlitre μl μL mm3 cubic millimetre
10−3 L millilitre ml mL cm3 cubic centimetre
10−2 L centilitre cl cL 101 cm3 ten cubic centimetres
10−1 L decilitre dl dL 102 cm3 hundred cubic centimetres
100 L litre l L dm3 cubic decimetre
101 L decalitre dal daL 101 dm3 ten cubic decimetres
102 L hectolitre hl hL 102 dm3 hundred cubic decimetres
103 L kilolitre kl kL m3 cubic metre
106 L megalitre Ml ML dam3 cubic decametre, 1 million litres
109 L gigalitre Gl GL hm3 cubic hectometre
1012 L teralitre Tl TL km3 cubic kilometre
1015 L petalitre Pl PL 103 km3 thousand cubic kilometres
1018 L exalitre El EL 106 km3 million cubic kilometres
1021 L zettalitre Zl ZL Mm3 cubic megametre
1024 L yottalitre Yl YL 103 Mm3 thousand cubic megametres
1027 L ronnalitre Rl RL 106 Mm3 million cubic megametres
1030 L quettalitre Ql QL Gm3 cubic gigametre

Non-metric conversions

Approx. value of 1 litre in non-metric units Non-metric unit Equivalent in litres
≈ 0.87987699 imperial quart 1 imperial quart ≡ 1.1365225 L
≈ 1.056688 US quarts 1 US quart ≡ 0.946352946 L
≈ 1.75975399 imperial pints 1 imperial pint ≡ 0.56826125 L
≈ 2.11337641 US pints 1 US pint ≡ 0.473176473 L
≈ 0.21996925 imperial gallon 1 imperial gallon ≡ 4.54609 L
≈ 0.2641720523 US gallon 1 US gallon ≡ 3.785411784 L
≈ 0.0353146667 cubic foot 1 cubic foot ≡ 28.316846592 L
≈ 61.023744 cubic inches 1 cubic inch ≡ 0.016387064 L
≈ 35.19508 imperial fluid ounces 1 imperial fluid ounce ≡ 28.4130625 mL
≈ 33.814023 US fluid ounces 1 US fluid ounce ≡ 29.5735295625 mL

See also Imperial units and US customary units.

Rough conversions

One litre is slightly larger than a US liquid quart and slightly less than an imperial quart or one US dry quart. A mnemonic for its volume relative to an imperial pint is "a litre of water's a pint and three-quarters"; this is very close, as a litre is about 1.76 imperial pints.

A cubic foot has an exact volume of 28.316846592 litres.

Symbol

Originally, the only symbol for the litre was l (lowercase letter L), following the SI convention that only those unit symbols that abbreviate the name of a person start with a capital letter. In many English-speaking countries, however, the most common shape of a handwritten Arabic digit 1 is just a vertical stroke; that is, it lacks the upstroke added in many other cultures. Therefore, the digit "1" may easily be confused with the letter "l". In some computer typefaces, the two characters are barely distinguishable. As a result, L (uppercase letter L) was adopted by the CIPM as an alternative symbol for litre in 1979.[9] The United States National Institute of Standards and Technology now recommends the use of the uppercase letter L,[10] a practice that is also widely followed in Canada and Australia. In these countries, the symbol L is also used with prefixes, as in mL and μL, instead of the traditional ml and μl used in Europe. In the UK and Ireland, as well as the rest of Europe, lowercase l is used with prefixes, though whole litres are often written in full (so, "750 ml" on a wine bottle, but often "1 litre" on a juice carton). In 1990, the International Committee for Weights and Measures stated that it was too early to choose a single symbol for the litre.[11]

Script l and Unicode

Prior to 1979, the symbol ℓ came into common use in some countries;[citation needed] for example, it was recommended by South African Bureau of Standards publication M33 and Canada in the 1970s. This symbol can still be encountered occasionally in some English-speaking and European countries like Germany, and its use is ubiquitous in Japan and South Korea.

Fonts covering the CJK characters usually include not only the script small ℓ but also four precomposed characters: ㎕, ㎖, ㎗, and ㎘ for the microlitre, millilitre, decilitre and kilolitre to allow correct rendering for vertically written scripts. These have Unicode equivalents for compatibility, which are not recommended for use with new documents:[12]

  • U+2113 ℓ SCRIPT SMALL L
  • U+3395 ㎕ SQUARE MU L
  • U+3396 ㎖ SQUARE ML
  • U+3397 ㎗ SQUARE DL
  • U+3398 ㎘ SQUARE KL

The CJK Compatibility block also includes U+3351 ㍑ SQUARE RITTORU corresponding to リットル rittoru, Japanese for 'litre'.

History

The first name of the litre was "cadil"; standards are shown at the Musée des Arts et Métiers in Paris.[13]

The litre was introduced in France in 1795 as one of the new "republican units of measurement" and defined as one cubic decimetre.[14] One litre of liquid water has a mass of almost exactly one kilogram, due to the gram being defined in 1795 as one cubic centimetre of water at the temperature of melting ice.[4] The original decimetre length was 44.344 lignes, which was revised in 1798 to 44.3296 lignes. This made the original litre 1.000974 of today's cubic decimetre. It was against this litre that the kilogram was constructed.

In 1879, the CIPM adopted the definition of the litre, with the symbol l (lowercase letter L).

In 1901, at the 3rd CGPM conference, the litre was redefined as the space occupied by 1 kg of pure water at the temperature of its maximum density (3.98 °C) under a pressure of 1 atm. This made the litre equal to about 1.000028 dm3 (earlier reference works usually put it at 1.000027 dm3).

In 1964, at the 12th CGPM conference, the original definition was reverted to, and thus the litre was once again defined in exact relation to the metre, as another name for the cubic decimetre, that is, exactly 1 dm3.[5]

In 1979, at the 16th CGPM conference, the alternative symbol L (uppercase letter L) was adopted. It also expressed a preference that in the future only one of these two symbols should be retained, but in 1990 said it was still too early to do so.[11]

Everyday usage

In spoken English, the symbol "mL" (for millilitre) can be pronounced as "mil". This can potentially cause confusion with some other measurement words such as:

  1. "mm" for millimetre, a unit of length equal to one-thousandth of a metre
  2. "mil" for thousandth of an inch
  3. "mil", a Scandinavian unit of length equal to 10 kilometres
  4. "mil", unit of angular measurement

The abbreviation "cc" (for cubic centimetre, equal to a millilitre or mL) is a unit of the cgs system, which preceded the MKS system, which later evolved into the SI system. The abbreviation "cc" is still commonly used in many fields, including medical dosage and sizing for combustion engine displacement.

The microlitre (μL) has been known in the past as the lambda (λ), but this usage is now discouraged.[15] In the medical field the microlitre is sometimes abbreviated as mcL on test results.[16]

 
Shot glasses with centilitre fill line graduations. "ARC" is the maker's (Arc International) certification of accuracy.

In the SI system, apart from prefixes for powers of 1000, use of the "centi" (10−2), "deci" (10−1), "deca" (10+1) and "hecto" (10+2) prefixes with litres is common. For example, in many European countries, the hectolitre is the typical unit for production and export volumes of beverages (milk, beer, soft drinks, wine, etc.) and for measuring the size of the catch and quotas for fishing boats; decilitres are common in Croatia, Switzerland and Scandinavia and often found in cookbooks, and restaurant and café menus; centilitres indicate the capacity of drinking glasses and of small bottles. In colloquial Dutch in Belgium, a "vijfentwintiger" and a "drieëndertiger" (literally "twenty-fiver" and "thirty-threer") are the common beer glasses, the corresponding bottles mention 25 cL and 33 cL. Bottles may also be 75 cL or half size at 37.5 cL for "artisanal" brews or 70 cL for wines or spirits. Cans come in 25 cL, 33 cL and 50 cL.[citation needed] Similarly, alcohol shots are often marked in cL in restaurant menus, typically 3 cL (1.06 imp fl oz; 1.01 US fl oz).

 
Petrol units used in the world:
  Litre
  US gallon
  Imperial gallon
  No data

In countries where the metric system was adopted as the official measuring system after the SI standard was established, common usage eschews prefixes that are not powers of 1000. For example, in Canada, Australia, and New Zealand, consumer beverages are labelled almost exclusively using litres and millilitres. An exception is in pathology, where for instance blood lead level[17] and blood sugar level[18] may be measured in micrograms/milligrams per decilitre.

For larger volumes, kilolitres, megalitres, and gigalitres, have been used by the Northern Territory Government for measuring water consumption, reservoir capacities and river flows,[19] although cubic metres are also used. Cubic metres are generally used for non-liquid commodities, such as sand and gravel, or storage space.

See also

Notes

  1. ^ The Metric Conversion Act of 1985 gives the United States Secretary of Commerce the responsibility of interpreting or modifying the SI for use in the United States. The Secretary of Commerce delegated this authority to the Director of the National Institute of Standards and Technology (NIST) (Turner, 2008). In 2008, the NIST published the U.S. version (Taylor and Thompson, 2008a) of the English text of the eighth edition of the Bureau International des Poids et Mesures (BIPM) publication Le Système International d' Unités (SI) (BIPM, 2006). In the NIST publication, the spellings "meter", "liter" and "deka" are used rather than "metre", "litre" and "deca" as in the original BIPM English text (Taylor and Thompson, 2008a, p. iii). The Director of the NIST officially recognized this publication, together with Taylor and Thompson (2008b), as the "legal interpretation" of the SI for the United States (Turner, 2008).

References

  1. ^ a b International Bureau of Weights and Measures (2006), The International System of Units (SI) (PDF) (8th ed.), p. 124, ISBN 92-822-2213-6, archived (PDF) from the original on 4 June 2021, retrieved 16 December 2021.
  2. ^ Collins English Dictionary.[full citation needed]
  3. ^ a b Bureau International des Poids et Mesures, 2006, p. 124. ("Days" and "hours" are examples of other non-SI units that SI accepts.)
  4. ^ a b "Décret relatif aux poids et aux mesures du 18 germinal an 3 (7 avril 1795)" [Weights and measures decree dated 18 Germinal, Year 3 (7 April 1795)] (in French). Association Métrodiff. 7 April 1795. Archived from the original on 17 August 2016. Retrieved 8 December 2012. Gramme, le poids absolu d'un volume d'eau pure égal au cube de la centième partie du mètre, et à la température de la glace fondante. English translation: "Gramme: the absolute weight of a volume of pure water equal to the cube of the hundredth part of the metre, at the temperature of melting ice."
  5. ^ a b "NIST, 2000". Ts.nist.gov. Archived from the original on 10 December 2011. Retrieved 26 April 2012.
  6. ^ Isotopic composition and temperature per London South Bank University's "List of physicochemical data concerning water", density and uncertainty per NIST Standard Reference Database Number 69 (Retrieved: 2010-04-05).
  7. ^ Kenneth Butcher, Linda Crown, Elizabeth J. Gentry (2006), The International System of Units (SI) – Conversion Factors for General Use. Archived 27 May 2010 at the Wayback Machine, NIST Special Publication 1038.
  8. ^ A. Thompson; B. N. Taylor (4 March 2020) [First published 2 July 2009]. "Table 6. Non-SI units accepted for use with the SI by the CIPM and this Guide". NIST. National Institute of Standards and Technology. Retrieved 30 March 2020. See footnote (b).
  9. ^ "The International System of Units (SI)" (PDF). 2006. p. 124. Archived from the original (PDF) on 14 August 2017. Retrieved 20 February 2021.
  10. ^ Non-SI units accepted for use with the SI by the CIPM – NIST.
  11. ^ a b "Bureau International des Poids et Mesures, 2006" (PDF). Retrieved 26 April 2012.
  12. ^ Unicode Consortium (2019). "The Unicode Standard 12.0 – CJK Compatibility ❰ Range: 3300—33FF ❱" (PDF). Unicode.org. Retrieved 24 May 2019.
  13. ^ "Visite Générale au Musée des arts et métiers" (PDF). Paris: Musée des arts et métiers. Archived from the original (PDF) on 9 November 2013. Retrieved 5 August 2013. Comment s'est appelé cet étalon de mesure avant de s'appeler le litre ? - Le Cadil [What was the name of this measurement before called being called a litre? - a Cadil].
  14. ^ "Décret relatif aux poids et aux mesures du 18 germinal an 3 (7 avril 1795)" [Weights and measures decree dated 18 Germinal, Year 3 (7 April 1795)] (in French). Association Métrodiff. 7 April 1795. Archived from the original on 17 August 2016. Retrieved 8 December 2012. Litre, la mesure de capacité, tant pour les liquides que pour les matières sèches, dont la contenance sera celle du cube de la dixièrne partie du mètre. English translation: "Litre: unit of capacity for both liquids and solids which will be equivalent to a cube of [with sides] one tenth of a metre."
  15. ^ Burtis, Carl A.; Bruns, David E. (2014). Tietz Fundamentals of Clinical Chemistry and Molecular Diagnostics (7. ed.). Elsevier Health Sciences. p. 114. ISBN 9780323292061.
  16. ^ "Units of Measurement". Mayo Medical Laboratories. Retrieved 23 June 2017.
  17. ^ "Blood Lead Levels Chart". Retrieved 21 November 2021.
  18. ^ "Diabetes Blood Sugar Level Chart" (PDF). Retrieved 21 November 2021.
  19. ^ Water volumes - how much water?, Northern Territory Government

Bibliography

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