A gas X diffuses three times faster than another gas Y the ratio of their densities i.e Dx:Dy is
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Here we use Graham's law of diffusion.
Formula :
R₁/R₂ = √mm2/mm1
Let the rate of gas Y be r₁, then the rate of gas X will be 3r₁
Let the density of X and Y be Dx and Dy respectively then Substituting in the formula we have :
r₁ / 3r₁ = √Dx/Dy
(r₁ / 3r₁) ² = Dx/Dy
1/9 = Dx/Dy
The ratio is thus 1 : 9
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