Relation between density of a gas and its molar mass:
According to Avogadro’s law, V ∝ n
Now, n = \(\frac{m}{M}\) (where, m is the mass of the gas and M is the molar mass of the gas)
∴ V ∝ \(\frac{m}{M}\)
M ∝ \(\frac{m}{V}\)
But, \(\frac{m}{V}\) = d (where, d is the density of the gas)
∴ d ∝ M
Thus, density of a gas is directly proportional to its molar mass.
