Consider an ideal gas mixture of n species.

(a) Derive an equation for determining the mass fraction of species i from knowledge of the mole fraction and the molecular weight of each of the n species. Derive an equation for determining the mole fraction of species i from knowledge of the mass fraction and the molecular weight of each of the n species.

(b) In a mixture containing equal mole fractions of O2, N2, and CO2, what is the mass fraction of each species? In a mixture containing equal mass fractions of O2, N2, and CO2 what is the mole fraction of each species?