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An amagat (denoted amg or Am) is a practical unit of volumetric number density. Although it can be applied to any
substance Substance may refer to: * Matter, anything that has mass and takes up space Chemistry * Chemical substance, a material with a definite chemical composition * Drug, a chemical agent affecting an organism Arts, entertainment, and media Music * ' ...
at any conditions, it is defined as the number of
ideal gas An ideal gas is a theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept is useful because it obeys the ideal gas law, a simplified equation of state, and is ...
molecules per unit volume at 1  atm (101.325 
kPa The pascal (symbol: Pa) is the unit of pressure in the International System of Units (SI). It is also used to quantify internal pressure, stress, Young's modulus, and ultimate tensile strength. The unit, named after Blaise Pascal, is an SI ...
) and 0 
°C The degree Celsius is the unit of temperature on the Celsius temperature scale "Celsius temperature scale, also called centigrade temperature scale, scale based on 0 Â° for the melting point of water and 100 Â° for the boiling point ...
(273.15  K). It is named after Émile Amagat, who also has
Amagat's law Amagat's law or the law of partial volumes describes the behaviour and properties of mixtures of ideal (as well as some cases of non-ideal) gases. It is of use in chemistry and thermodynamics. It is named after Émile Amagat. Overview Amagat's ...
named after him.


SI conversion

The amg unit for number density can be converted to the
SI unit The International System of Units, internationally known by the abbreviation SI (from French ), is the modern form of the metric system and the world's most widely used system of units of measurement, system of measurement. It is the only system ...
of moles per cubic meter (mol/m3) by the formula 1\ \text \overset \ \frac \text^3 \approx 44.615 \text^3, where : ≘ indicates correspondence, since the SI unit is of
molar concentration Molar concentration (also called molarity, amount concentration or substance concentration) is the number of moles of solute per liter of solution. Specifically, It is a measure of the concentration of a chemical species, in particular, of a so ...
and not number density; : is the Loschmidt number; : is the
Avogadro constant The Avogadro constant, commonly denoted or , is an SI defining constant with an exact value of when expressed in reciprocal moles. It defines the ratio of the number of constituent particles to the amount of substance in a sample, where th ...
. The number density of an ''ideal gas'' at
absolute pressure Pressure measurement is the measurement of an applied force by a fluid (liquid or gas) on a surface. Pressure is typically measured in unit of measurement, units of force per unit of surface area. Many techniques have been developed for the me ...
and
absolute temperature Thermodynamic temperature, also known as absolute temperature, is a physical quantity which measures temperature starting from absolute zero, the point at which particles have minimal thermal motion. Thermodynamic temperature is typically expres ...
can be calculated as \eta = \frac \ \frac \ \text, where  = 273.15  K, and  = 101.325 
kPa The pascal (symbol: Pa) is the unit of pressure in the International System of Units (SI). It is also used to quantify internal pressure, stress, Young's modulus, and ultimate tensile strength. The unit, named after Blaise Pascal, is an SI ...
(
STP STP may refer to: Places * São Tomé and Príncipe (ISO 3166-1 alpha-3 code, IOC country code, and FIFA country code STP) * St Pancras railway station (National Rail code STP) * St. Paul Downtown Airport (IATA airport code STP) in Saint Paul, Mi ...
before 1982).


Example

Number density of an ideal gas (such as air) at
room temperature Room temperature, colloquially, denotes the range of air temperatures most people find comfortable indoors while dressed in typical clothing. Comfortable temperatures can be extended beyond this range depending on humidity, air circulation, and ...
(20 
°C The degree Celsius is the unit of temperature on the Celsius temperature scale "Celsius temperature scale, also called centigrade temperature scale, scale based on 0 Â° for the melting point of water and 100 Â° for the boiling point ...
) and 1 atm (101.325 kPa) is :\eta = \left(\frac\right) \left(\frac\right)\ \text = 0.932\ \text.


References

{{reflist Amount of substance Units of density Physical chemistry