Question

out of four gases Cl2, CO2,CH4,N2, which gas would diffuse most rapidly and why?

Answer 1

Answer:

CH4

Explanation:

Rate of diffusion is indirectly proportional to square root of density.

Hence, lightest has will have most rapid diffusion.

Mass of CH4 is least which is equal to 12 + (4×1) =16 amu.

Answer 2

$CH_4$ diffuses most rapidly.

Explanation:

To calculate the rate of effusion of gas, we use Graham's Law.

This law states that the rate of effusion of gas is inversely proportional to the square root of the molar mass of the gas. The equation given by this law follows:

$\text{Rate of diffusion}\propto \frac{1}{\sqrt{\text{Molar mass of the gas}}}$

Molar mass of =  71 g/mol

Molar mass of = 44 g/mol

Molar mass of =  16 g/mol

Molar mass of = 28 g/mol

Thus as molar mass of $CH_4$ is lowest, it diffuses most rapidly.

Learn more about Graham's law:

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