1. Loschmidt’s number also called as Loschmidt’s constant, n₀ is the number of particles of an ideal gas in a given volume (m³). The unit is m⁻³. At standard pressure (1 atm) and temperature (0 °C) the value of Loschmidt’s number is 2.686 x 10²⁵ m⁻³.
2. Loschmidt’s number,n₀ can be expressed as,
n₀ = [tex]\frac{P}{kT} [/tex]
where P is the pressure of the gas, K is the Boltzmann constant and T is the thermodynamic temperature.
Since, k = R/NA (where R is the universal gas constant and NA is the Avogadro constant)
n₀ = [tex]\frac{P}{(R/NA)T} [/tex]
n₀ = [tex]\frac{PNA}{RT} [/tex]
Hence, n₀ α NA