Kinetic Gas Equation Derivation

What Is Kinetic Theory of Gases?

The kinetic theory of gases describes a gas as a large number of submicroscopic particles such as atoms and molecules, all of which are in random and constant motion. The randomness arises from the particles’ collisions with each other and with the walls of the container.

Derivation of Kinetic Gas Equation

Consider a cubical container of length ‘l ’ filled with gas molecules each having mass ‘m’ and let N be the total number of gas molecules in the container. Due to the influence of temperature, the gas molecules move in random directions with a velocity ‘v.’

The pressure of the gas molecules is the force exerted by the gas molecule per unit area of the wall of the container.

et us consider a gas molecule moving in the x-direction towards face A. The molecule hits the wall with a velocity V_x and rebounds back with the same velocity V_x, and will experience a change of momentum