According to kinetic theory, the average kinetic energy of molecules of a gas is directly proportional to the absolute temperature of gas. So,
\(\frac{1}{2}m\bar v^2 = \alpha T\)
Where a = proportionality constant
∴ From we get PV \( = \frac{1}{3}mN_A\bar v^2\)
PV = \(\frac{2}{3}\) NAαT
If temperature T is constant, then PV = constant
i.e., the product of pressure and volume of gas at constant temperature is constant. This is Boyle's law.
