Transcritical bifurcation

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An amagat is a practical unit of 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).[1] It is named after Emile Amagat, who also has Amagat's law named after him. The abbreviated form of amagat is "amg."

Definition

Number density in amg, denoted here by , is defined as

,

where n0 = 1 amg = 2.686 7774Template:E m−3 = 44.614 981 mol/m3 is the Loschmidt constant.

In practice, number density of an ideal gas at pressure P and temperature T can be calculated as[2]

,

where T0 = 273.15 K and p0 = 101.325 kPa.

Example

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

.

References

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  2. In this formula, absolute units of pressure and temperature, relative to vacuum and absolute zero, must be used.