A sample of N₂ effuses in 200 s.How long will the same size sample of Cl₂ take to effuse? A) 318 s B) 126 s C) 507 s D) 78.9 s E) 388 s

Question

Quizplus · Accepted Answer

Graham's law of effusion states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. The formula to compare the effusion times of two gases is $t_1 / t_2 = \sqrt{M_2 / M_1}$, where $t_1$ and $t_2$ are the effusion times, and $M_1$ and $M_2$ are the molar masses of the gases. The molar mass of N₂ (N2S) is 46 g/mol, and the molar mass of Cl₂ (Cl2S) is 102.97 g/mol. Plugging these values into the formula, we get $200 / t_2 = \sqrt{46 / 102.97}$, solving for $t_2$ gives approximately 318 seconds.

A Sample of N2 Effuses in 200 S

A Sample of N₂ Effuses in 200 S