Derivation of Gas laws

 Boyle’s law :- from kinetic theory of gases

As   C2  ∝  T

So    PV  ∝   T

                If T is constant then PV = constant.

Charles’s law :-

                So  V ∝ T if pressure is constant.

Gay Lussac’s law :-

So  P ∝ T    (when V is constant)

Law of Equipartition of  energy

If a system under thermal equilibrium, energy of a system is divided equally among all degrees of freedom equal to  ½ KBT

.     KB = Boltzmann constant = 1.38 x 10 -33 J / mole  oK

   

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11    PMT    Physics    Kinetic Theory    Derivation of Gas laws