J.R. S. answered 06/09/22
Ph.D. University Professor with 10+ years Tutoring Experience
Graham's Law of Effusion
rate gas 1 / rate gas 2 = sqrt MW gas 2 / sqrt MW gas 1
gas 1 = He, MW = 4
gas 2 = Cl2, MW = 70.9
rate He = 1 L / 4.5 min = 0.222 L / min
rate Cl2 = ?
0.222 / rate Cl2 = √ (70.9/4)
0.222 / rate Cl2 = 4.21
rate Cl2 = 0.0528 L / min
Thus rate for 1 L is ...
0.0528 L / min = 1 L / x min
x = 18.9 minutes
So, it will take 18.9 minutes for 1 L of Cl2 to diffuse under the same conditions