Pure O2 diffuses through an aperture in 224 s, whereas a mixture of O2 and another gas containing 80% O2 diffuses from the same in 234 s under similar conditions of pressure and temperature. What is molecular weight of gas?
The gaseous mixture contains 80% O2 and 20% gas.The average molecular weight of mixture is
Mmix=Mixi ----------------------1
As Mmix=Mixiwhere xi=mole fraction.Now for diffusion of gaseous mixture and pure O2
rO2rmix=√MmixMO2⇒⟮VO2Vmix⟯×⟮tmixtO2⟯
= √Mmix32⇒1224×2341=Mmix32 -------------------2
On solving , we get Mmix=34.92gmol−1. Thus, substituting in eq(1), we get molecular weight of gas(m)
as M=⟮34.92×100⟯−⟮32×80⟯20=46.6gmol−1