Chapter 5.5, Problem 1PE

Interpretation Introduction

Interpretation:

The partial pressures of the given gases have to be calculated.

Concept Introduction:

A mole fraction is the unit less proportion of the number of moles of a mixture constituent and the total number of moles in the mixture.

${\text{χ}}_{\text{i}}\text{=}\frac{{\text{P}}_{\text{i}}}{{\text{P}}_{\text{total}}}$

The number of molecules of gases is known. Since the mole fraction is:

$\frac{{\text{n}}_{\text{i}}}{{\text{n}}_{\text{total}}}\text{=}\frac{\frac{\text{molecules}\text{of}\text{i}}{\text{6}\text{.022×}\text{10}{}^{\text{23}}\text{molecules/mol}}}{\frac{\text{molecules}\text{total}}{\text{6}\text{.022×}\text{10}{}^{\text{23}}\text{molecules/mol}}}\text{=}\frac{\text{molecules}\text{of}\text{i}}{\text{molecules}\text{total}}$

• In a mixture of gases, every gas has an incomplete pressure which is the theoretical stress of that gas if it alone engaged the entire volume of the original combination at the same temperature.
• The sum pressure of an ideal gas mixture is the amount of the partial pressures of the gases in the mixture.