Chemistry - Ideal Gas Question with Solution | TestHub

Molecules of gases remain in a continuous state of random motion. While moving, they collide with each other and with the walls of the container. This results in a change in their speed and a redistribution of energy. Maxwell and Boltzmann have shown that the actual distribution of molecular speeds depends on the temperature and molecular mass of the gas. Maxwell derived a formula for calculating the number of molecules possessing a particular speed ($C$) as:

Maxwell distribution fraction,

$$f(C)=\frac{1}{dC}\frac{dN}{N}=4\pi {\left(\frac{M}{2\pi RT}\right)}^{3/2}{C}^2{e}^{-\frac{M{C}^2}{2RT}}$$