Chapter 13, Problem 13.32P

Interpretation Introduction

Interpretation:

Mole fraction of ${\text{H}}_{\text{2}}$, ${\text{N}}_{\text{2}}$ and $\text{Ar}$ has to be calculated.

Concept Introduction:

The net pressure for gaseous mixture is equal to algebraic sum of partial pressures of its constituent gases. This is referred as Dalton’s law.

For a mixture of two gases, 1 and 2, $P_{\text{total}}$ is calculated as follows:

  $P_{\text{total}}=P_1+P_2$

In terms of mole fraction the partial pressure is calculated as follows:

  $P_{\text{i}}=x_{\text{i}}{P}_{\text{total}}$

Here,

$P_{\text{total}}$ denotes total pressure exerted by whole mixture of gases.

$x_{\text{i}}$ denotes the mole fraction.

$P_{\text{i}}$ represents the partial pressure.

Rearrange to obtain the expression of mole fractiion as follows:

  $x_{\text{i}}=\frac{P_{\text{i}}}{P_{\text{total}}}$