Question

What is the rate of diffusion of carbon dioxide compared to hydrogen

Answer 1

Answer

The rate of diffusion of carbon dioxide is generally slower compared to hydrogen due to differences in their molecular masses and sizes. Hydrogen, being the lightest element, diffuses much faster than carbon dioxide under similar conditions.

Answer 2

The rate of diffusion of a gas is inversely proportional to the square root of its molar mass. Carbon dioxide (CO2) has a molar mass of approximately 44 grams per mole, while hydrogen (H2) has a molar mass of approximately 2 grams per mole.

Using Graham's Law of Effusion and Diffusion, we can calculate the rate of diffusion of carbon dioxide compared to hydrogen:

Rate of diffusion of CO2 / Rate of diffusion of H2 = √(Molar mass of H2 / Molar mass of CO2)

Substituting the molar masses:
Rate of diffusion of CO2 / Rate of diffusion of H2 = √(2 / 44)

Calculating:
Rate of diffusion of CO2 / Rate of diffusion of H2 = √(1/22)

Rate of diffusion of CO2 / Rate of diffusion of H2 = 1 / √22

Approximately, the rate of diffusion of carbon dioxide compared to hydrogen is 1 divided by the square root of 22.