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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