Answer to Question #148192 in General Chemistry for Maryrose Rentoy

Question

Find the molar mass of an unknown gas which diffuses twice as fast as Cl2 gas.

Answer 1

Molar mass of Cl₂, M₁ = 35.5x2=71.0gmol^-1

Let the molar mass of the unknown gas X be M₂

from Graham's law of diffusion,

R_x/R_cl = √M₁/M₂

2/1=√71/M₂

2²/1²= 71/M₂

4M₂= 71

M₂ = 71/4= 17.74gmol^-1