Asample of an unknown gas takes 222 s to diffuse through a porous plug at a given temperature. at the same temperature, n2(g) takes 175 s to diffuse through the same plug. what is the molar mass of the unknown gas?

Explanation:

Graham’s Law applies to the diffusion of gases:

The rate of diffusion (r) of a gas is inversely proportional to the square root of its molar mass (M).

If you have two gases, the ratio of their rates of diffusion is

The time for diffusion is inversely proportional to the rate.

Data:

t₂ = 222 s

 t₁ = 175 s

M₁ = 28.01

Calculation :

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atomic mass = 39

number of neutrons = 20

number of protons= 19

electronic configuration = 1s2 2s2 2p6 3s2 3p6 4s1

the number of electron in first shell = 2

number of electrons in n=3 shell = 8