Chapter 10, Problem 10.105SP

Interpretation Introduction

Interpretation:

The ratio of diffusion rates of three isotopic mixtures ${\left({}^{35}\text{Cl}\right)}_2$, ${}^{35}{\text{Cl}}^{37}\text{Cl}$ and ${\left({}^{37}\text{Cl}\right)}_2$ is to be determined.

Concept introduction:

Graham’s law states that the rate of diffusion or effusion 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 effusion of first gas.
• ${\text{Rate}}_{\text{2}}$ denotes the rate of effusion of second gas.