Deduce and explain Boyle's law and Charles' law on the basis of kinetic gas equation.

Explanation

According to kinetic theory of gases, the number of particles present in a given mass and its average kinetic energy is constant.
If the volume of a dry gas is reduced to half of its original volume, the same number of particles will have half the space to move, thus the particles at the same time striking the walls of the container will get doubled, so the pressure also gets doubled.
If the volume of the gas is doubled, at constant temperature, then the number of particles will have double the space to move about. Thus, the particles at a given time, striking at the walls of the container will become one-half of the original value. So, the pressure is reduced to half of its original pressure.
Thus, if pressure increases, the volume of a given mass of gas decreases at constant temperature (Boyle.s law).