The mole is a unit of measurement used in chemistry to express amounts of a chemical substance, defined as an amount of a substance that contains as many elementary entities (e.g., atoms, molecules, ions, electrons) as there are atoms in 12 grams of pure carbon-12 (¹²C), the isotope of carbon with atomic weight 12. This corresponds to a value of 6.02214179(30)×10²³ elementary entities of the substance. It is one of the base units in the International System of Units, and has the unit symbol mol.^[1]

The mole is widely used in chemistry, instead of units of mass or volume, as a convenient way to express the amounts of reactants and products of chemical reactions. For example, the chemical equation 2 H₂ + O₂ → 2 H₂O implies that 2 mol of dihydrogen and 1 mol of dioxygen react to form 2 mol of water. The mole may also be used to express the number of atoms, ions, or other elementary entities in some sample. The concentration of a solution is commonly expressed by its molarity, the number of moles of the dissolved substance per litre of solution.

The number of molecules in a mole (known as Avogadro's number) is defined so that the mass of one mole of a substance, expressed in grams, is exactly equal to the substance's mean molecular weight. For example, the mean molecular weight of natural water is about 18.015, so one mole of water is about 18.015 grams. This property considerably simplifies many chemical and physical computations.

The name gram-molecule was formerly used for essentially the same concept.^[1] The name gram-atom (abbreviated gat.) has been used for a related but distinct concept, namely a quantity of a substance that contains Avogadro's number of atoms, whether isolated or combined in molecules. Thus, for example, 1 mole of MgB₂ is 1 gram-molecule of MgB₂ but 3 gram-atoms of MgB₂.^[2][3]

Definition and related concepts[link]

As of 2011^[update], the mole is defined by BIPM to be an amount of a substance that contains as many elementary entities (e.g. atoms, molecules, ions, electrons) as there are atoms in 12 grams of pure carbon-12 (¹²C), the isotope of carbon with atomic weight 12.^[1] Thus, by definition, one mole of pure ¹²C has a mass of exactly 12 g. It also follows from the definition that X moles of any substance will contain the same number of molecules as X moles of any other substance.

The mass per mole of a substance is called its molar mass. Since the standard unit for expressing the mass of molecules or atoms (the dalton or atomic mass unit) is defined as 1/12 of the mass of a ¹²C atom, it follows that the molar mass of a substance, measured in grams per mole, is exactly equal to its mean molecular or atomic mass, measured in daltons; which is to say, to the substance's mean molecular or atomic weight.

The number of elementary entities in a sample of a substance is technically called its (chemical) amount. Therefore, the mole is a convenient unit for that physical quantity. One can determine the chemical amount of a known substance, in moles, by dividing the sample's mass by the substance's molar mass.^[4] Other methods include the use of the molar volume or the measurement of electric charge.^[4]

It should be noted that the mass of one mole of a substance depends not only on its molecular formula, but also on the proportion of the isotopes of each element present in it. For example, one mole of calcium-40 is 39.96259098 ± 0.00000022 grams, whereas one mole of calcium-42 is 41.95861801 ± 0.00000027 grams, and one mole of calcium with the normal isotopic mix is 40.078 ± 0.004 grams.

Since the definition of the gram is not (as of 2011^[update]) mathematically tied to that of the dalton, the number N_A of molecules in a mole (Avogadro's number) must be determined experimentally. The value adopted by CODATA in 2006 is N_A = 6.02214179×10²³ ± 0.00000030×10²³.^[5] In 2011 the measurement was refined to 6.02214078×10²³ ± 0.00000018×10²³.^[6]

History[link]

The history of the mole is intertwined with that of molecular mass, atomic mass unit, Avogadro's number and related concepts.

The first table of atomic weights was published by John Dalton (1766–1844) in 1805, based on a system in which the atomic weight of hydrogen was defined as 1. These atomic weights were based on the stoichiometric proportions of chemical reactions and compounds, a fact that greatly aided their acceptance: It was not necessary for a chemist to subscribe to atomic theory (an unproven hypothesis at the time) to make practical use of the tables. This would lead to some confusion between atomic weights (promoted by proponents of atomic theory) and equivalent weights (promoted by its opponents and which sometimes differed from atomic weights by an integer factor), which would last throughout much of the nineteenth century.

Jöns Jacob Berzelius (1779–1848) was instrumental in the determination of atomic weights to ever-increasing accuracy. He was also the first chemist to use oxygen as the standard to which other weights were referred. Oxygen is a useful standard, as, unlike hydrogen, it forms compounds with most other elements, especially metals. However, he chose to fix the atomic weight of oxygen as 100, an innovation that did not catch on.

Charles Frédéric Gerhardt (1816–56), Henri Victor Regnault (1810–78) and Stanislao Cannizzaro (1826–1910) expanded on Berzelius' works, resolving many of the problems of unknown stoichiometry of compounds, and the use of atomic weights attracted a large consensus by the time of the Karlsruhe Congress (1860). The convention had reverted to defining the atomic weight of hydrogen as 1, although at the level of precision of measurements at that time — relative uncertainties of around 1% — this was numerically equivalent to the later standard of oxygen = 16. However the chemical convenience of having oxygen as the primary atomic weight standard became ever more evident with advances in analytical chemistry and the need for ever more accurate atomic weight determinations.

Developments in mass spectrometry led to the adoption of oxygen-16 as the standard substance, in lieu of natural oxygen.^{[citation needed]} The current definition of the mole, based on carbon-12, was approved during the 1960s.^[1][7] The four different definitions were equivalent to within 1%.

The name mole is an 1897 translation of the German unit Mol, coined by the chemist Wilhelm Ostwald in 1894 from the German word Molekül (molecule).^[8][9][10] However, the related concept of equivalent mass had been in use at least a century earlier.^[11]

The mole as a unit[link]

Since its adoption into the International System of Units, there have been a number of criticisms of the concept of the mole as a unit like the meter or the second:

• the number of molecules, etc. in a given lump of material is a fixed dimensionless quantity that can be expressed simply as a number, so does not require its own base unit;^[7]
• the SI thermodynamic mole is irrelevant to analytical chemistry and is causing avoidable costs to advanced economies;^[12]
• the mole is not a true metric (i.e. measuring) unit, rather it is a parametric unit and amount of substance is a parametric base quantity;^[13]
• the concepts of the SI quantity 'amount of substance' and unit 'mole' are confusing and difficult to teach.^[14]
• the SI defines numbers of entities as quantities of dimension one, and thus ignores the ontological distinction between entities and units of continuous quantities.^[15]

In chemistry, it has been known since Proust's law of definite proportions (1794) that knowledge of the mass of each of the components in a chemical system is not sufficient to define the system. Amount of substance can be described as mass divided by Proust's "definite proportions", and contains information that is missing from the measurement of mass alone. As demonstrated by Dalton's law of partial pressures (1803), a measurement of mass is not even necessary to measure the amount of substance (although in practice it is usual). There are many physical relationships between amount of substance and other physical quantities, the most notable one being the ideal gas law (where the relationship was first demonstrated in 1857). The term "mole" was first used in a textbook describing these colligative properties.

Other units called "mole"[link]

Chemical engineers use the concept extensively, but the unit is rather small for industrial use.^[16] For convenience in avoiding conversions, some American engineers adopted the pound-mole (noted lb-mol or lbmol), which is defined as the number of entities in 12 lb of ¹²C. One lb-mol is equal to 453.59237 mol.^[17] In the metric system, chemical engineers once used the kilogram-mole (noted kg-mol), which is defined as the number of entities in 12 kg of ¹²C, and often referred to the mole as the gram-mole (noted g-mol), when dealing with laboratory data.^[17] However modern chemical engineering practice is to use the kilomole (kmol), which is identical to the kilogram-mole, but whose name and symbol adopt the SI convention for standard multiples of metric units.

Proposed future definition[link]

In 2011, the 24^th meeting of the General Conference on Weights and Measures (CGPM) agreed a plan for a possible revision of the SI base unit definitions on an as yet undetermined date. This plan, set forward in the meeting's first resolution, included a proposal to redefine the mole in a way that will fix “the Avogadro constant to be equal to exactly 6.022 14X ×10²³ when it is expressed in the SI unit mol^-1.”^[18]

Related units[link]

The SI units for molar concentration are mol/m³. However, most chemical literature traditionally uses mol/dm³, or mol dm⁻³, which is the same as mol/L. These traditional units are often denoted by a capital letter M (pronounced "molar"), sometimes preceded by an SI prefix, for example, millimoles per litre (mmol/L) or millimolar (mM), micromoles/litre (µmol/L) or micromolar (µM), or nanomoles/L (nmol/L) or nanomolar (nM).

The unit's holiday[link]

October 23 is called Mole Day.^[19] It is an informal holiday in honour of the unit among chemists in North America. The date is derived from Avogadro's number, which is approximately 6.022×10²³. It officially starts at 6:02 A.M. and ends at 6:02 P.M.

See also[link]

References[link]

External links[link]

• ChemTeam: The Origin of the Word 'Mole' at the Wayback Machine (archived December 22, 2007)

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Look up mole in Wiktionary, the free dictionary.

Mole may refer to:

Animals[link]

• Mole (animal) or "true mole", many of the mammals in the family Talpidae, found in Eurasia and North America
• Golden moles, southern African mammals, similar to but unrelated to Talpidae moles
• Marsupial moles, Australian mammals, similar to but unrelated to Talpidae moles

Other common meanings[link]

• Mole (unit), the SI unit (symbol mol) used in chemistry for the amount of a substance
• Mole or melanocytic nevus, a benign tumor on human skin, usually with darker pigment
• Mole (sauce), a Mexican sauce made from chili peppers, other spices, and chocolate
• Mole (espionage), a spy who has worked his or her way into an organization or country
• Mole (architecture), a pier, jetty, breakwater, or junction between places separated by water
• Variant spelling of Moll (slang) in Australian
• Hydatidiform mole, an abnormal form of pregnancy

Places[link]

Africa[link]

• Mole River (Ghana), a tributary of the White Volta in Ghana
• Mole National Park, Ghana, named after the Mole River

Asia[link]

• Mole, Belgaum, India

Europe[link]

• River Mole in Surrey, in southern England
  • Mole Valley, a local government district in the valley of the River Mole
  • Mole Valley (UK Parliament constituency)
• River Mole, Devon, in south-west England
• La Môle, a commune of the Var Département, France
• Le Môle, a mountain peak in the French Alps

Oceania[link]

• Mole Creek, Tasmania, a town in northern Tasmania, Australia
• Mole River (New South Wales), a river in northern New South Wales, Australia

People[link]

• Louis-Mathieu Molé (1781-1855), French statesman and 18th Prime Minister of France
• Chris Mole (Christopher David Mole, born 1958), UK Labour Member of Parliament
• Fenton Mole (born 1925), American baseball player
• Jamie Mole (born 1988), English professional footballer
• Miff Mole, (Irving Milfred Mole, 1898–1961), American jazz trombonist and band leader
• The Mole (MC/producer) (Jonah Mociun), underground hip hop personality

Culture[link]

Fictional characters[link]

• Mole, an anthropomorphic mole, a main character in the children's novel The Wind in the Willows by Kenneth Grahame
• The Mole (South Park), a psychotic French character from the animated series South Park
• Mole (Zdeněk Miler character), an animated character
• Adrian Mole, a fictional diarist in a series of comic novels by Sue Townsend
• Rosie Mole, Adrian's sister
• The Mole, a fictional character in three fantasy novels in Terry Brooks' Shannara series
• The Mole (Happy Tree Friends), a character from the cartoon series Happy Tree Friends
• The Mole, Gaetan Moliére, a character in Atlantis: The Lost Empire and its sequel, Atlantis: Milo's Return
• Monty Mole, a video game character
• Morocco Mole, Secret Squirrel's sidekick

Film and television[link]

• El Topo (The Mole), 1970 film
• The Mole (TV series), a reality television series
  • The Mole (Australian TV series) Australian version
  • The Mole (UK TV series) UK version
  • The Mole (U.S. TV series) U.S. version

Other uses[link]

• Mole, a tunnel boring machine
• Mole, the NATO reporting name of the Soviet Beriev Be-8 amphibian aircraft
• Mole or Mole-Richardson, a stage and motion picture lighting manufacturing company
• Mole, an informal name for Cultivator No. 6, a Second World War trench-digging machine

See also[link]

• Moles (disambiguation)
• Mol (disambiguation)
• Moll (disambiguation)

This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.

Look up unit in Wiktionary, the free dictionary.

Unit may refer to:

Mathematics[link]

• Unit (ring theory), an element that is invertible with respect to ring multiplication
• 1 (number), the unit number
• Unit vector, a vector with length equal to 1

Science and technology[link]

• Units (software), a software program for unit conversion
• Units of measurement, a standardized quantity of measurement of a physical quantity
• Enzyme unit
• Unit operation, a basic step in a chemical plant process
• Functional unit, a component of a computer system such as the CPU
• Unit of blood, a measurement in blood transfusion equal to one pint or 450 ml
• Unit of alcohol, 10 millilitres of pure ethanol in the United Kingdom
• Rack unit, a measure to describe the height of rack-mounted computer equipment
• Geological unit or rock unit, a volume of identifiable rock or ice
• In statistics:
  • Unit of observation, a type of entity (e.g. person, house, neighborhood) specifying the level at which data is collected
  • Unit of analysis, a type of entity (e.g. person, house, neighborhood) specifying the level at which data is analyzed
  • Statistical unit, a single data point, or collection of data points grouped as a single entity, on which statistical analysis is performed

Entertainment and the arts[link]

• UNIT, a fictional military organization in the science fiction television series Doctor Who
• Unit (album), by the Australian band Regurgitator
• Unit (art collective), a British artists' collective
• G-Unit, a hip-hop music group
• The Units, a synthpunk band
• The Unit, an American television series
• Second unit, a team that shoots footage which is of lesser importance for the final motion picture
• Unit of action, a discrete piece of action (or beat) in a theatrical presentation
• UNIT Post Production, a British company
• The Tony Rice Unit, an American bluegrass group

Other uses[link]

• Unit (housing), a self-contained suite of rooms within a set of similar dwellings
• Unit of account, a monetary unit of measurement
• An apartment
• Multiple unit, a passenger train where each carriage has it own motors
• Military unit
• Strategic business unit
• In real time strategy games, an individual (or squad, depending on the game) infantry or vehicle
• Work unit or danwei (单位), a place of employment in China

See also[link]

• UNITA
• Subunit (disambiguation)

This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.