J.R. S. answered 04/23/21
Ph.D. University Professor with 10+ years Tutoring Experience
Graham's Law of Effusion:
rate of gas 1 / rate of gas 2 = sqrt MW gas 2/ sqrt MW gas 1
the rate of effusion is inversely proportional to the square root of the molar mass, so the heavier a gas is, the slower it will effuse.
molar mass N2 = 28
molar mass Cl2 = 71
sqrt 28 = 5.29
sqrt 71 = 8.43
ratio of N2 to Cl2 = 5.29/8.43 = 0.628
What this means is that N2 will effuse about 1.6x faster than will Cl2