Litre
| Litre | |
|---|---|
 One litre is the volume of a cube with 10 cm sides | |
| General information | |
| Unit system | SI derived unit |
| Unit of | Volume |
| Symbol | L |
| In SI base units: | 1 L = 10-3 m3 |
The litre (American spelling: liter; SI symbol l or L) is a non-SI metric system unit of volume equal to 1 cubic decimetre (dm3), or 1,000 cubic centimetres (cm3), or 1/1,000 cubic metre. If the lower case L is used as the symbol, it is sometimes rendered as a cursive ℓ to help distinguish it from the capital "I", although this usage has no official approval by any international bureau.
The word litre is derived from an older French unit, the litron, whose name came from Greek via Latin. The original French metric system used the litre as a base unit, and it has been used in several subsequent versions of the metric system and is accepted for use with the SI,[1] although not an official SI unit — the SI unit of volume is the cubic metre (m3). The spelling of the word used by the International Bureau of Weights and Measures is "litre"[1] and this is also the usual one in most English-speaking countries, but in American English the spelling is "liter", being endorsed by the United States.[2]
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.[3]
Definition
A litre is defined as a special name for a cubic decimetre or 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 S.I. 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 4 °C and 760 millimetres of mercury pressure. The kilogram was in turn specified as the mass of a platinum/iridium cylinder held at Sèvres in France 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 abandoned in favour of the current one. Although the litre is not an official SI unit, it is accepted by the SI body for use with the SI system, and the SI body makes determinations about how the litre is defined and what symbols are acceptable for it.
Explanation
Litres are most commonly used for items (such as fluids and berries) 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. Similarly: 1 millilitre of water has a mass of about 1 g; 1000 litres of water has a mass of about 1000 kg . 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.
We now know that density also depends on the isotopic ratios of the oxygen and hydrogen atoms in a particular water 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 it has a density of 0.999975 ±0.000001 kg/L at its point of maximum density (3.984 °C) under one standard atmosphere (760 torr, 101.325 kPa) of pressure.[4]
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 and cooking. 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.[5]
| Multiple | Name | Symbols | Equivalent volume | Submultiple | Name | Symbols | Equivalent volume | |||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 100 L | litre | l (ℓ) | L | dm3 | cubic decimetre | |||||||
| 101 L | decalitre | dal | daL | 101 dm3 | ten cubic decimetres | 10−1 L | decilitre | dl | dL | 102 cm3 | hundred cubic centimetres | |
| 102 L | hectolitre | hl | hL | 102 dm3 | hundred cubic decimetres | 10−2 L | centilitre | cl | cL | 101 cm3 | ten cubic centimetres | |
| 103 L | kilolitre | kl | kL | m3 | cubic metre | 10−3 L | millilitre | ml | mL | cm3 | cubic centimetre | |
| 106 L | megalitre | Ml | ML | dam3 | cubic decametre | 10−6 L | microlitre | µl | µL | mm3 | cubic millimetre | |
| 109 L | gigalitre | Gl | GL | hm3 | cubic hectometre | 10−9 L | nanolitre | nl | nL | 106 µm3 | million cubic micrometres | |
| 1012 L | teralitre | Tl | TL | km3 | cubic kilometre | 10−12 L | picolitre | pl | pL | 103 µm3 | thousand cubic micrometres | |
| 1015 L | petalitre | Pl | PL | 103 km3 | thousand cubic kilometres | 10−15 L | femtolitre | fl | fL | µm3 | cubic micrometre | |
| 1018 L | exalitre | El | EL | 106 km3 | million cubic kilometres | 10−18 L | attolitre | al | aL | 106 nm3 | million cubic nanometres | |
| 1021 L | zettalitre | Zl | ZL | Mm3 | cubic megametre | 10−21 L | zeptolitre | zl | zL | 103 nm3 | thousand cubic nanometres | |
| 1024 L | yottalitre | Yl | YL | 103 Mm3 | thousand cubic megametres | 10−24 L | yoctolitre | yl | yL | nm3 | cubic nanometre | |
Non-metric conversions
| Metric Unit |
Approximate Value |
Non-Metric Unit |
System |
Non-Metric Unit |
Metric Equivalency |
|---|---|---|---|---|---|
| 1 L | ≈ 0.87987699 | quart | Imperial | 1 quart | ≡ 1.1365225 L |
| 1 L | ≈ 1.056688 | fluid quarts | U.S. | 1 fluid quart | ≡ 0.946352946 L |
| 1 L | ≈ 1.75975326 | pints | Imperial | 1 pint | ≡ 0.56826125 L |
| 1 L | ≈ 2.11337641 | fluid pints | U.S. | 1 fluid pint | ≡ 0.473176473 L |
| 1 L | ≈ 0.2641720523 | liquid gallon | U.S. | 1 liquid gallon | ≡ 3.785411784 L |
| 1 L | ≈ 0.21997 | gallon | Imperial | 1 gallon | ≡ 4.54609 L |
| 1 L | ≈ 0.0353146667 | cubic foot | 1 cubic foot | ≡ 28.316846592 L | |
| 1 L | ≈ 61.0237441 | cubic inches | 1 cubic inch | ≡ 0.016387064 L | |
| 1 L | ≈ 33.8140 | customary fluid ounces | U.S. | 1 customary fluid ounce | ≡ 29.5735295625 mL |
| 1 L | ≈ 35.1950 | fluid ounces | Imperial | 1 fluid ounce | ≡ 28.4130625 mL |
Rough conversions
One litre is slightly more than one U.S. liquid quart and slightly less than one imperial quart or one U.S. dry quart. A mnemonic for its volume relative to the imperial pint is "a litre of water is a pint and three quarters".
A litre is the volume of a cube with sides of 10 cm, which is slightly less than a cube of sides 4 inches (or one-third of a foot). One cubic foot would contain exactly 27 such cubes (four inches on each side), making one cubic foot approximately equal to 27 litres. One cubic foot has an exact volume of 28.316846592 litres, which is within 5 % of the 27-litre approximation.
A litre of water has a mass almost exactly equal to one kilogram of water. An early definition of the kilogram was set as the mass of one litre of water. Because volume changes with temperature and pressure, and pressure uses units of mass, the definition of a kilogram was changed. At standard pressure, one litre of water has a mass of 0.999975 kg at 4 °C, and 0.997 kg at 25 °C.[6]
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, 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'. Further, on some typewriters, particularly older ones, the unshifted L key had to be used to type the numeral 1. Even in some computer typefaces, the two characters are barely distinguishable. This caused some concern, especially in the medical community. As a result, L (uppercase letter L) was adopted as an alternative symbol for litre in 1979. The United States National Institute of Standards and Technology now recommends the use of the uppercase letter L,[7] 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).
Prior to 1979, the symbol ℓ (script small l, U+2113), came into common use in some countries; 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 countries, 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 ㎘ (U+3395 to U+3398) for the microlitre, millilitre, decilitre, and kilolitre. Nevertheless, it is no longer used in most countries and was never officially recognised by the BIPM or the International Organization for Standardization, and is a character often not available in currently used documentation systems.
History
The litre was introduced in France in 1795 as one of the new "republican units of measurement" and defined as one cubic decimetre. 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 dm3. 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 1.000 028 dm3 (earlier reference works usually put it at 1.000 027 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.[8]
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.[9]
Colloquial and practical usage
In spoken English, the abbreviation "mL" (for millilitre) is often pronounced as "mil", homophonous with the colloquial term "mil", which is intended to mean "one thousandth of a metre", or in the United States, a thousandth of an inch. This generally does not create confusion because the context is usually sufficient — one being a volume, the other a linear measurement.
The abbreviation cc (for cubic centimetre, equal to a millilitre or mL) is a unit of the cgs system, that preceded the MKS system, that later evolved into the SI system. The abbreviation cc is still commonly used in many fields including medical dosage and sizing for small combustion engine displacement, such as those used in motorcycles.
In European countries where the metric system was established well before the adoption of the SI standard, there is still carry-over of usage from the precursor cgs and MKS systems. In the SI system, use of prefixes for powers of 1,000 is preferred and all other multiples discouraged. However, in countries where these other multiples were already established, their use remains common. In particular, use of the centi (10−2), deci (10−1), deca (10+1), and hecto (10+2) prefixes are still 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 Switzerland and Scandinavia and sometimes found in cookbooks; 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 or 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 aka 0.5 L. Family size bottles as for soft drinks or drinking water use the litre (0.5 L, 1 L, 1.5 L, 2 L) as well as beer barrels (50 L or the half-sized 25 L). This unit is most common for all other household size containers of liquids from thermocans to buckets to bath tubs; as well as for fuel tanks and consumption for heating or by vehicles.
In countries where the metric system was adopted as the official measuring system after the SI standard was established, common usage more closely follow contemporary SI conventions. For example, in Canada, where the metric system is now in widespread use, consumer beverages are labelled almost exclusively using litres and millilitres. Hectolitres sometimes appear in industry, but centilitres and decilitres are rarely, if ever, used. Larger volumes are usually given in cubic metres (equivalent to 1 kL), or thousands or millions of cubic metres. The situation is similar in Australia, although kilolitres, megalitres, and gigalitres are commonly used for measuring water consumption, reservoir capacities and river flows.
For larger volumes of fluids, such as annual consumption of tap water, lorry (truck) tanks, or swimming pools, the cubic metre is the general unit. It is also generally for all volumes of a non-liquid nature.
Fluid flow rates may be measured in litres per unit time interval (second, minute, hour, etc.).
Usages to indicate capacity
Fields where it has become a common measurement for non-liquid volumes, where the capacity of the container is indicated, include:
- Berries and solid items that can be poured and are measured by their containers
- Car boot/trunk size [10][11]
- Rucksacks & Climbing packs [12][13]
- Computer cases [14][15]
- Microwave ovens [16][17]
- Refrigerators [18][19]
- Sleeping bags - packed volume [20][dead link] [21][dead link]
- Bins
- Engine displacement
See also
Notes
- ^ a b Bureau International des Poids et Mesures, 2006, p. 124. ("Days" and "hours" are examples of other non-SI units that SI accepts.)
- ^ 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).
- ^
"Decree on weights and measures". 7 April 1795.
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 meter, at the temperature of melting ice." - ^ 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)
- ^ Kenneth Butcher, Linda Crown, & Elizabeth J. Gentry (2006), The International System of Units (SI) – Conversion Factors for General Use, NIST Special Publication 1038
- ^ "Online water density calculator". Antoine.frostburg.edu. Retrieved 26 April 2012.
- ^ Non-SI units accepted for use with the SI by the CIPM – NIST
- ^ "NIST, 2000". Ts.nist.gov. Retrieved 26 April 2012.
- ^ "Bureau International des Poids et Mesures, 2006" (PDF). Retrieved 26 April 2012.
- ^ Motoring - Used cars - New cars - Transport - AA New Zealand[dead link]
- ^ Laturnus, Ted (12 April 2007). "VW bug converts wary chick-car drivers | Vancouver, Canada". Straight.com. Retrieved 26 April 2012.
- ^ "Products". Shop.national-army-museum.ac.uk. Retrieved 26 April 2012.
- ^ "Peter Clinch's Packs Page 3". Personal.dundee.ac.uk. 15 October 2006. Retrieved 26 April 2012.
- ^ "ASUS unveils headless Eee Box desktop PC - Hardware". Techworld. 13 August 2008. Retrieved 26 April 2012.
- ^ "Home Blog". Blogs.amd.com. Retrieved 26 April 2012.
- ^ "Microwave Oven Prices & Reviews - Compare Microwave Ovens - Price Me NZ -p2". Priceme.co.nz. Retrieved 26 April 2012.
- ^ www.dooyoo.co.uk. "Delonghi 21 Litre White Touch - Microwave with reviews and price comparison at". Dooyoo.co.uk. Retrieved 26 April 2012.
- ^ "Stacks and Stacks Mini Refrigerator - Hot and Cold 17 Liter Reviews". Buzzillions.com. Retrieved 26 April 2012.
- ^ "Refrigerator Buying Guide". Refrigerator-guide.com. Retrieved 26 April 2012.
- ^ "livingsimply.co.nz". livingsimply.co.nz. Retrieved 26 April 2012.
- ^ [1][dead link]
References
- Bureau International des Poids et Mesures (2006). "The International System of Units (SI)" (PDF). Retrieved 18 August 2008.
- Bureau International des Poids et Mesures. (2006). "The International System of Units (SI)" (on-line browser):
- Table 6 (Non-SI units accepted for use with the International System). Retrieved 2008-08-24
- National Institute of Standards and Technology (11 November 2000). "Appendix C: General tables of units of measurement". NIST Handbook 44: Specifications, Tolerances, and Other Technical Requirements for Weighing and Measuring Devices. National Institute of Standards and Technology. Retrieved 9 October 2006.
- National Institute of Standards and Technology. (December 2003). The NIST Reference on Constants, Units, and Uncertainty: International System of Units (SI) (web site):
- Note on SI units. Retrieved 2008-08-24.
- Recommending uppercase letter L. Retrieved 2008-08-24.
- Taylor, B.N. and Thompson, A. (Eds.). (2008a). The International System of Units (SI). United States version of the English text of the eighth edition (2006) of the International Bureau of Weights and Measures publication Le Système International d’ Unités (SI) (Special Publication 330). Gaithersburg, MD: National Institute of Standards and Technology. Retrieved 2008-08-18.
- Taylor, B.N. and Thompson, A. (2008b). Guide for the Use of the International System of Units (Special Publication 811). Gaithersburg, MD: National Institute of Standards and Technology. Retrieved 2008-08-23.
- Turner, J. (Deputy Director of the National Institute of Standards and Technology). (16 May 2008)."Interpretation of the International System of Units (the Metric System of Measurement) for the United States". Federal Register Vol. 73, No. 96, p. 28432-3.
- UK National Physical Laboratory. Internationally recognised non SI units
