Chapter 10.13, Problem 1PPA

Interpretation Introduction

Interpretation:

The mole fraction and partial pressures of every gas in a combination of gases are to be determined.

Concept Introduction:

Mole fraction is defined as the number of moles of a component divided by the total number of moles of a solution. It is a unit of concentration that is unitless expression.

The mole fraction of an individual gas for the combination of gas is the ratio of the moles of the individual gas with the total number of moles of combined gases.

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

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

Also, the mole fraction of an individual gas for the combination of gases can be calculated from the ratio of the partial pressure of the individual gas with the total pressure of the combined gases.

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

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