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?

A.

0.1

B.

0.5

C.

2.0

D.

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\(\sqrt{D_2}\)

Rx\(\sqrt{D_x}\) = Ry\(\sqrt{D_y}\)

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

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

= 2.0