Number density via volumetric density and molar mass¶

Number density, or number of molecules per unit volume, can be expressed using the volumetric density, or mass per unit volume, and molar mass, or mass per unit amount of substance.

Notation:

\(N_\text{A}\) (N_A) is avogadro_constant.

Links:

Wikipedia.

number_density¶: number_density, or number of molecules per unit volume.

Symbol:: n
Latex:: \(n\)
Dimension:: 1/volume

volumetric_density¶: Volumetric density, or mass per unit volume.

Symbol:: rho
Latex:: \(\rho\)
Dimension:: mass/volume

molar_mass¶: molar_mass, or mass per unit amount of substance.

Symbol:: M
Latex:: \(M\)
Dimension:: mass/amount_of_substance

law¶

n = rho * N_A / M

Latex:: \[n = \frac{\rho N_\text{A}}{M}\]