By Team Aakash Byju's
Boyle’s Law holds good only if the temperature and amount of gas remain unchanged.
Mathematically, we write Boyle’s law as:
where D is density & v is rms velocity of gas molecules
We know that the kinetic theory of gases (ideal gas), the pressure exerted by a gas is
Since, density D = M/V, in the above equation becomes
Therefore
Therefore
Now, if the temperature of the gas is maintained constant, the velocity of gas molecules does not vary and hence the kinetic energy will be constant.
Therefore, PV = (⅔)KE = constant which verifies Boyle’s Law