Which gas effuses faster: hydrogen or chlorine? How much faster?

1 Answer
Feb 18, 2016

Answer:

Hydrogen effuses about 5.9 times as fast as chlorine.

Explanation:

Graham's law of effusion states that the rates of effusion of two different gases vary INVERSELY as the SQUARE roots of the mass of their particles.

#color(blue)(bar(ul(|color(white)(a/a)"Rate"_2/"Rate"_1= sqrt(M_1/M_2)color(white)(a/a)|)))" "#

where #"Rate"_1# and #"Rate"_2# are the rates of the two gases and

#M_1# amd #M_2# are their respective relative molar masses.

In this problem, we can say

Chlorine gas has #M_1# of 70.91
Hydrogen gas has #M_2# of 2.016

#"Rate"_2/"Rate"_1= sqrt(70.91/2.0162) = sqrt35.17 = 5.931#

Hydrogen effuses approximately 6 times as fast as chlorine.