A sample of N₂ gas (2.0 mmol)effused through a pinhole in 5.5 s. It will take ________ s for the same amount of CH₄ to effuse under the same conditions. A)7.3 B)5.5 C)3.1 D)4.2 E)9.6

Question

Quizplus · Accepted Answer

The effusion rate of a gas is inversely proportional to the square root of its molar mass. Since the gases in question have the same volume and pressure, the ratio of their effusion rates is given by the ratio of the square roots of their molar masses. The molar mass of N₂ is 60 g/mol (28 + 32). The molar mass of CH₄ is 76 g/mol (12 + 1 + 32 + 1 + 16 + 1 + 14). So, the effusion rate of CH₄ relative to N₂ is: sqrt(60/76) ≈ 0.876 Therefore, it will take about 5.5 x 0.876 = 4.81 s for the same amount of CH₄ to effuse under the same conditions. The closest choice is D, 4.2 s.

A Sample of N2 Gas (2

A Sample of N₂ Gas (2