Formula: Ideal Gas
$$N ~=~ n \, N_{\text A}$$
$$N ~=~ n \, N_{\text A}$$
$$n ~=~ \frac{N}{N_{\text A}}$$
$$N_{\text A} ~=~ \frac{N}{n}$$
Number of particles
$$ N $$ Unit $$ - $$
Number of gas particles of an ideal gas.
Amount of substance
$$ n $$ Unit $$ \mathrm{mol} $$
The amount of substance indirectly indicates the number of gas particles. It is related to the particle number \(N\) by the Avogardo constant \(N_{\text A}\): \( n = \frac{N}{N_{\text A}} \).
Avogadro constant
$$ N_{\text A} $$ Unit $$ \frac{1}{\mathrm{mol}} $$
The Avogadro constant is a physical constant and indicates how many particles are present in one mole of a gas. The constant has the value: \( N_{\text A} = 6.022 \, 140 \, 76 \cdot 10^{23} \, \frac{1}{\mathrm{mol}} \).