Chapter 10, Problem 138AP

Interpretation Introduction

Interpretation:

The mole fraction of the given gases is to be calculated.

Concept introduction:

The mole fraction of an individual gas, for a combination of gases, is the ratio of the moles of the individual gas to the total number of moles of the gaseous mixture.

${\chi }_i=\frac{n_i}{n_{\text{total}}}$

Here, ${\chi }_i$ is the mole fraction, $n_i$ is the number of moles of the individual gas, and $n_{\text{total}}$ is the total number of moles of the gaseous mixture.

Also, the mole fraction of an individual gas, for a combination of gases, is calculated from the ratio of the partial pressure of the individual gas to the total pressure of the combination.

${\chi }_i=\frac{P_i}{P_{\text{total}}}$

Here, ${\chi }_i$ is the mole fraction, $P_i$ is the partial pressure of the individual gas, and $P_{\text{total}}$ is the total pressure of the combination.