Question

how to derive boyle law from kinetic gas equation​

Answer 1

Answer:

kinetic gas equation is a mathematical expression for kinetic molecular theory of gases.

PV=1/3mnU^2.

where,

P= pressure of the gas

V= volume of the gas

m= mass of the gas molecule

n= no. of molecules of the gas

U= r.m.s. velocity

Deduction of Boyle's law from KGE:

according to kinetic gas equation,

PV=1/3mnU^2

(or) PV=2/3*1/2mnU^2

(or)PV=2/3Ek-------(1)

1/2mnU^2 is the kinetic energy of 'n' molecules.

But the average K.E. of the gas molecules is directly proportional to the absolute temperature.---------(2).

from (1) and (2),

PV=2/3K.T.

At constant temperature, PV=constant.

This is Boyle's law.