Question

Derive the Gay-Lussac's law on the basis of kinetic theory.

Answer 1

Regnault's or Gay Lussacs Law:-

According to this law, the pressure p of a given mass of gas directly proportional to its absolute temperature T, provided the volume V remains constant.

According to kinetic theory of gases

p = 1/3 M/V C²

Now at constant volume and for a given mass of gas p ∝ C²

But C₂ ∝ p

p ∝ T

or, p/T = constant which is Regnault's or Gay Lussac's Law.