Chapter 10, Problem 10.106SP

Interpretation Introduction

Interpretation:

The gases $\text{HCl}$, ${\text{F}}_{\text{2}}$ and $\text{Ar}$ should be ranked in the order of their speed of diffusion across a membrane.

Concept introduction:

Graham’s law suggests that the rate of diffusion of gases varies inversely to the square root of its molar mass. Mathematically it can also be stated as,

$\frac{{\text{Rate}}_{\text{1}}}{{\text{Rate}}_{\text{2}}}=\sqrt{\frac{M_{\text{2}}}{M_{\text{1}}}}$

Where,

• $M_{\text{2}}$ denotes the molar mass of second gas.
• $M_{\text{1}}$ denotes the molar mass of first gas.
• ${\text{Rate}}_{\text{1}}$ denotes the rate of diffusionof one gas.
• ${\text{Rate}}_{\text{2}}$ denotes the rate of diffusionof another gas.

The rate of diffusion is determined with respect to the gas that has the highest molecular mass.