Amagat

An amagat (denoted amg or Am^[1]) is a practical unit of volumetric number density. Although it can be applied to any substance at any conditions, it is defined as the number of ideal gas molecules per unit volume at 1 atm (101.325 kPa) and 0 °C (273.15 K).^[2] It is named after Émile Amagat, who also has Amagat's law named after him.

SI conversion

The amg unit for number density can be converted to the SI unit of moles per cubic meter (mol/m³) by the formula $1\ {\text{amg }}{\overset {\frown }{=}}\ {\frac {n_{0}}{N_{A}}}{\text{ mol/m}}^{3}\approx 44.615{\text{ mol/m}}^{3},$ where

≘ indicates correspondence, since the SI unit is of molar concentration and not number density;

n 0

is the Loschmidt number;

N A

is the Avogadro constant.

The number density of an ideal gas at absolute pressure $p$ and absolute temperature $T$ can be calculated as $\eta ={\frac {p}{p_{0}}}\ {\frac {T_{0}}{T}}\ {\text{ amg}},$ where $T 0$ = 273.15 K, and $p 0$ = 101.325 kPa (STP before 1982).

Example

Number density of an ideal gas (such as air) at room temperature (20 °C) and 1 atm (101.325 kPa) is

\eta =\left({\frac {1\ {\text{atm}}}{p_{0}}}\right)\left({\frac {273.15\ {\text{K}}}{(273.15+20)\ {\text{K}}}}\right)\ {\text{amg}}=0.932\ {\text{amg}}.

References

^ V. G. Teifel (1976). "Methane and ammonia abundance in the atmosphere of Saturn". Sov. Astron. Lett. 2 (6): 232. Bibcode:1976SvAL....2..232T.
^ Hirschfelder, Joseph O.; Curtiss, Charles F.; Bird, R. Byron (1967), Molecular Theory of Gases and Liquids (Corrected printing ed.), John Wiley & Sons, Inc.

[1] V. G. Teifel (1976). "Methane and ammonia abundance in the atmosphere of Saturn". Sov. Astron. Lett. 2 (6): 232. Bibcode:1976SvAL....2..232T.

[MTGL-2] Hirschfelder, Joseph O.; Curtiss, Charles F.; Bird, R. Byron (1967), Molecular Theory of Gases and Liquids (Corrected printing ed.), John Wiley & Sons, Inc.

[1]

[2]