Question

Derivation of kinetic gas equationwith respect to ideal gas

Answer 1





Kinetic Gas Equation Derivation



Kinetic gas equation can also be represented in the form of mass or density of the gas. 

Kinetic gas equation is 

              PV= RT= 1/3 mNu2

                           = 1/3 Mu2 as mN= M, the total mass of the gas. 

                                            1     M 
This can be written as P =  ---    ---     u2
                                            3      V

                                              1
                                          = --- du2 where d = density of the gas which is the ration of the mass M and volume V. 
                                              3
                                                                               2        1 
The Kinetic gas equation can be written as PV = ---- x ----- m Nu2
                                                                               3        2

                          2                                                           1
This is given as --- x Kinetic energy of N molecules as ---- mu2 is the equation for kinetic energy.
                          3                                                           2


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