An ideal gas has pressure P , volume V and absolute temperature T . If m is the mass of each molecule and K is the Boltzmann constant then density of the gas is

Step-by-step solution

For ideal gas P V = n R T P V = m ′ M R T = m ′ V . R T M (where m' is the mass of the gas and M molecular weight) ∴ P = ρ R T M (Where ρ is the density of the gas) ∴ ρ = P M R T = P M N K T (Where N is Avogadro number) ∴ ρ = P m K T (Where m = M N = mass of each molecule)