Chapter 13, Problem 18Q

To determine

To explain: The Charles’s law from the kinetic theory and establish the relation between relative kinetic energy and the absolute temperature.

Answer to Problem 18Q

The volume of the gas molecule is proportional to the absolute temperature of the gas molecule. As the temperature increases, the vibration among the molecules is increases and collision among the molecules is also increased.

Explanation of Solution

Introduction:

Charles’s law is an experimental verification or General Charles’s law shows the behavior of gases when they are heated or expansion of the gases when they are heated at constant pressure.

According to the statement of the Charles’s when the pressure of the gas is kept constant, the volume of gas is increases in the proportionality to the absolute temperature. When the temperature of the gas molecules increases, the kinetic energy of the molecules is also increased. This leads to increase in the average force exerted by the gas molecules because of the higher collision of the gas molecules with the boundaries of the gas container. The pressure is the ratio of the force per unit area. If the pressure is constant in the container of the gas molecules, the surface area of the boundary must be increased.

Conclusion:

The volume of the gas molecule is proportional to the absolute temperature of the gas molecule. As the temperature increases, the vibration among the molecules is increases and collision among the molecules is also increased.