Deduction of Ideal Gas Equation

According to Kinetic Gas Equation

PV   = 1/3 mnu²

PV   =  2/3 * 1/2  mnu²

PV = 2/3 * 1/2   Mu²       

(where M = mn  &  M = total mass of gas)

PV = 2/3  × K. E                    (K. E  = 1/2  Mu²)

But   K. E  α  T      (one of the postulates of Kinetic Gas Equation)

K. E   =   K. T

PV    =  2/3 KT              

Where 2/3  is constant, K is also constant.

Thus, 2/3 K is also a constant and is found to be equal to ‘nR’

So,   2/3 K  =   nR             Where ‘R’ is called Gas Constant & ‘n’ is Number of Moles

PV   =   nRT