Question

Container a contains 1.00 mole of ne gas and container b contains 1.00 mole of he gas. Both gases are at 100.0 °c. How much faster will the he diffuse than ne?

Answer 1

Helium (He) will diffuse √5 times faster than neon (Ne) according to Graham's law of effusion, since it is inversely proportional to the square root of the gas's molar mass.

Step-by-step explanation:

To determine how much faster helium (He) will diffuse than neon (Ne), we use Graham's law of effusion. This law states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. Given that both containers have gases at the same temperature, we can compare the rates of diffusion directly.

First, we find the molar masses of He and Ne. Helium has a molar mass of about 4 g/mol, while neon has a molar mass of about 20 g/mol. Using Graham's law:

Rate of He / Rate of Ne = √(Molar mass of Ne / Molar mass of He) = √(20/4) = √5

Therefore, helium will diffuse √5 times faster than neon.

As an example, if neon takes 95.3 seconds to effuse, helium would take 95.3 / √5 seconds, which illustrates the concept of different diffusion rates based on molar mass.