The densities of two gases, X and Y are 0.5gdm^-3 and 2.0gdm^-3 respectively. What is the rate of diffusion of X relative to Y?

0.1

0.5

2.0

4.0

Correct answer is C

The rate of dimension of a gas inversely proportional to the square root of its molecular mass or its density, which is Graham's Law of diffusion of gas.

R ∝ \(\frac{1}{\sqrt{Mm}}\) or R ∝ \(\frac{1}{\sqrt{D}}\)

Dx = 0.5gdm^-3, Dy = 2gdm^-3

R= \(\frac{K}{\sqrt{D}}\)

R\(\sqrt{D}\) = k

R₁\(\sqrt{D_1}\) = R₁\(\sqrt{D_2}\)

R_x\(\sqrt{D_x}\) = R_y\(\sqrt{D_y}\)

\(\frac{R_x}{R_y}\) = \(\frac{\sqrt{D_y}}{\sqrt{D_x}}\)

= \(\frac{\sqrt{2}}{\sqrt{0.5}}\)

= 2.0

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