Question

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

Answer 1

1. Loschmidt's number moreover called as Loschmidt's reliable, n₀ is the amount of particles of an ideal gas in a given volume (m³). The unit is m⁻³. At standard strain (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 imparted as,

n₀ =

where P is the kind of the gas, K is the Boltzmann reliable and T is the thermodynamic temperature.

Since, k = R/NA (where R is the comprehensive gas predictable and NA is the Avogadro consistent)

n₀ =

n₀ =

Therefore, n₀ α NA

Step-by-step explanation:

Answer 2

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 =
`(P)/(kT)`
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 =
`(P)/((R/NA)T)`
n₀ =
`(PNA)/(RT)`

Hence, n₀ α NA