Chapter 13, Problem 67QAP

Interpretation Introduction

Interpretation:

The partial pressure of each gas and total pressure of the container should be calculated.

Concept Introduction:

Dalton’s law of partial pressure: In a container for mixture of gases, the total pressure is equal to the sum of partial pressures of all the gases present in the container. The partial pressure is the pressure exerted by a gas if it is the only gas present in the container.

Let a mixture of three gases with partial pressures ${\text{P}}_1$, ${\text{P}}_2$ and ${\text{P}}_3$, the total pressure of the gas will be sum of these partial pressures as follows:

${\text{P}}_{\text{T}}={\text{P}}_1+{\text{P}}_2+{\text{P}}_3$

This is the Dalton’s law of partial pressure.

The behaviour of gases is assumed to be ideal thus, partial pressure of gases can be calculated from an ideal gas equation as follows:

$\text{P}\text{V}=\text{n}\text{R}\text{T}$

Here, P is pressure, V is volume, n is number of moles, R is Universal gas constant and T is temperature of the gas.

The pressure exerted by an ideal gas depends on the number of gas particles, this does not depend on the nature of particles of gas. The two important things concluded from it will be:

1. The volume of gases is important.
2. The forces in between the particles of gas is not important.