Chapter 13, Problem 19Q

To determine

To explain: Gay-Lussac’s law from kinetic theory.

Answer to Problem 19Q

According to the law, at the constant volume the absolute pressure is directly proportional to the temperature of the gas. If the temperature increases the vibrations of the molecules are also increase.

Explanation of Solution

Introduction:

Gay-Lussac’s law states that when the volume of the gas molecule is constant, then the pressure of the gas molecules in the container is proportional to the absolute temperature. According to the kinetic theory we can explain the Gay-Lussac’s law.

According to Gay-Lussac’s law the absolute pressure of the gas molecule is proportional to the absolute temperature at the constant volume. Kinetic theory explains the behavior of the molecules when we increase the temperature the molecules collide with each other as well as with the walls of the container. This can be explaining with the help of an example. Consider the fixed size of container. If pressure of the gas is increased, the force on the walls is also increases means the kinetic energy of the gas molecules is also increased. But kinetic energy is proportional to the absolute temperature,

Conclusion:

The conclusion is that at the constant volume the absolute pressure is directly proportional to the temperature of the gas. If the temperature increases the vibrations of the molecules are also increase.