Q7 of 31 Page 90

A vessel of volume V contains a mixture of 1 mole of Hydrogen and 1 mole of Oxygen (both considered as ideal). Let f1 (v)dv, denote the fraction of molecules with speed between v and (v + dv) with f2 (v)dv, similarly for oxygen. Then

The Maxwell speed distribution law is defined as,



Here , dN=f(v) which denotes molecules having speeds between v and v+dv , K is the Boltzmann constant, and T is the absolute temperature, m is the mass, v is the velocity.


The Maxwell-Boltzmann speed distribution function (Nv = dn/dv) depends on the mass of the gas molecules. The masses of hydrogen and oxygen molecules are different.


For each function f1(v) and f2(v), n will be different, hence each function f1(v), f2(v) will obey the Maxwell’s distribution law separately.

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