Answer to Question #343976 in General Chemistry for siya

Question

How much faster does He atom effuse than N₂ molecule at the same temperature? (MM_He = 2g, MM_N₂ = 28g)

Answer 1

The rate of effusion of a gas is inversely proportional to the square root of the molecular weight of the gas. The lighter a gas is, the faster it will effuse; the heavier a gas is, the slower it will effuse:

$\frac{Effuse–rate_1} {Effuse–rate_2} =\sqrt{\frac {M_2} {M_1}}=\sqrt{ \frac {28}{2}}=\sqrt{14}=3,74$

ANSWER: The effusion of the He atom is 3.74 times faster than the effusion of the N₂ molecule.