Deduce Boyle's law from kinetic gas equation.

Explanation

Boyle's law: According to kinetic theory, the average K.E of gas molecules is directly proportional to the absolute temperature.
(i.e.,) KE=T But K.E=`1/2mnc^2`
`therefore 1/2 mnc^2 prop T` (or) `1/2 mnc^2= KT`
According to kinetic gas equation,
`PV=1/3 mnc^2`
(or) `PV=2/3 times 1/2 mnc^2`
(or) `PV=2/3 times KT (or) V=2/3 K/P T.`
if T is kept constant , then V
= `Constant times 1/ P` (or) `V prop 1/P`(T constant)
At constant temperature, the volume of a given mass of gas is inversely proportional to its pressure. This is Boyle's law.