Amagat

An amagat (denoted amg or Am) 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). 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 $$1\text{amg }\stackrel{⌢}{=}\frac{n_0}{N_A}{\text{ mol/m}}^3\approx 44.615{\text{ mol/m}}^3,$$ where

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

Template:Math is the Loschmidt number;

Template:Mvar is the Avogadro constant.

The number density of an ideal gas at absolute pressure Template:Mvar and absolute temperature Template:Mvar can be calculated as $$\eta =\frac{p}{p_0}\frac{T_0}{T}\text{ amg},$$ where Template:Math = 273.15 K, and Template:Math = 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

$\eta =\left(\frac{1\text{atm}}{p_0}\right)\left(\frac{273.15\text{K}}{(273.15+20)\text{K}}\right)\text{amg}=0.932\text{amg}.$