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
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Answer : 0.8663 Kg of chalcopyrite must be mined to obtained 300 g of pure Cu.
Solution : Given,
Mass of Cu = 300 g
Molar mass of Cu = 63.546 g/mole
Molar mass of = 183.511 g/mole
- First we have to calculate the moles of Cu.
The moles of Cu = 4.7209 moles
From the given chemical formula, we conclude that the each mole of compound contain one mole of Cu.
So, The moles of Cu = Moles of = 4.4209 moles
- Now we have to calculate the mass of
.
Mass of = Moles of
× Molar mass of
= 4.4209 moles × 183.511 g/mole = 866.337 g
Mass of = 866.337 g = 0.8663 Kg (1 Kg = 1000 g)
Therefore, 0.8663 Kg of chalcopyrite must be mined to obtained 300 g of pure Cu.