What is Loschmidt’s number? How is it related to Avogadro’s number?
1 answer:
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 =
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 =
n₀ =
Hence, n₀ α NA
2. Loschmidt’s number,n₀ can be expressed as,
n₀ =
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 =
n₀ =
Hence, n₀ α NA
You might be interested in
Answer:- 4.36 kPa
Solution:- At constant volume, the pressure of the gas is directly proportional to the kelvin temperature.
Where the subscripts 1 and 2 are representing initial and final quantities.
From given data:
= 1.049 kPa
= ?
= 7.39 K
= 30.70 K
For final pressure, the equation could also be rearranged as:
Let's plug in the values in it:
= 4.36 kPa
So, the new pressure of the gas is 4.36 kPa.