The densities of two gases, X and Y are 0.5gdm-3 and 2.0gdm-3 respectively. What is…

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?

Correct Answer: Option C

Explanation

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

There is an explanation video available below.