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3 years ago

What is Loschmidt’s number? How is it related to Avogadro’s number?

1 answer:

5 0

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 <span>Loschmidt’s number is 2.686 x 10</span>²⁵ m⁻³.

2. Loschmidt’s number,n₀ can be expressed as,
n₀ = $\frac{P}{kT}$
where P is the pressure of the gas, K is the Boltzmann constant and T is the <span>thermodynamic temperature.

Since, k = R/NA (where R is the universal gas constant and NA is the Avogadro constant)
</span>n₀ = $\frac{P}{(R/NA)T}$
n₀ = $\frac{PNA}{RT}$

Hence, n₀ α NA

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