Chapter U3.59, Problem 1TAI

Interpretation Introduction

Interpretation:The change in gas pressure in flexible and rigid container needs to be explained.

Concept Introduction:

Due to random movement of gas particles, they colloid with other gas particles and also colloid with wall of container. The collision between gas particles of air and wall of container exert pressure on the wall of container.

The gas pressure is inversely proportional to the volume of gas. This is because as the gas pressure increases, the gas particles come close to each other. It decreases the intermolecular distance between particles and volume decreases.

Answer to Problem 1TAI

In a flexible container, the volume will change with pressure. On the contrary, in a rigid container, the volume will remain constant. So at constant volume, the pressure of gas is directly proportional to the temperature of gas.

Explanation of Solution

The Boyle’s law states that at constant temperature and amount of gas molecules, the volume is inversely proportional to the pressure of gas.

  $\text{Pressure α }\frac{\text{1}}{\text{volume }}$

In a flexible container, the volume will change with pressure. As the pressure increase, the volume of gas will decrease as gas molecules will come close to each other.

On the contrary, in a rigid container, the volume will remain constant. So at constant volume, the pressure of gas is directly proportional to the temperature of gas. This is called as Gay Lussac's Law of gases.

  $\text{Pressure α Temperature}$

So as the temperature of the rigid container increases, the pressure of gas also increases.