Chapter 5, Problem 54QAP

Interpretation Introduction

(a)

Interpretation:

Rank the gases Xe, CH₄, F₂, and CH₂ F₂ in order of increasing speed of effusion through a pinhole.

Concept introduction:

According to the Graham’s law of effusion, the square of the rate of gas effusion is inversely related to the mass of the particles.

It is mathematically represented as follows:

${\left(\frac{R_1}{R_2}\right)}^2=\frac{M_2}{M_1}$

Or,

$\frac{R_1}{R_2}=\sqrt{\frac{M_2}{M_1}}$

Here, $R_1$ is rate of effusion of gas 1 with molar mass $M_1$ and $R_2$ is rate of effusion of gas 2 with molar mass $M_2$.

Interpretation Introduction

(b)

Interpretation:

Rank the gases Xe, CH₄, F₂, and CH₂ F₂ in order of increasing time of effusion.

Concept introduction:

According to the Graham’s law of effusion, the square of the rate of gas effusion is inversely related to the mass of the particles.

It is mathematically represented as follows:

${\left(\frac{R_1}{R_2}\right)}^2=\frac{M_2}{M_1}$

Or,

$\frac{R_1}{R_2}=\sqrt{\frac{M_2}{M_1}}$

Here, $R_1$ is rate of effusion of gas 1 with molar mass $M_1$ and $R_2$ is rate of effusion of gas 2 with molar mass $M_2$.