Question

At any given temperature, how much more quickly will H2 diffuse than N2?

A) Twice as quickly
B) Four times as quickly
C) Six times as quickly
D) Eight times as quickly

Answer 1

H2 diffuses approximately 3.74 times more quickly than N2 at a given temperature.

Step-by-step explanation:

According to Graham's law of effusion, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.

Since the molar mass of H2 is 2 g/mol and the molar mass of N2 is 28 g/mol, we can calculate the ratio of their rates of diffusion as follows:

Rate of diffusion of H2 / Rate of diffusion of N2 = sqrt(28/2) = sqrt(14) ≈ 3.74

Therefore, H2 diffuses approximately 3.74 times more quickly than N2.