Question

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 faction of molecules with speed between v and (v + dv) with f2(v)dv, similarly for oxygen. Then

• A. f1(v) + f2(v) = f(v) obeys the Maxwell’s distribution law
• B. f1(v), f2(v) will obeys the Maxwell’s distribution law separately
• C. Neither f1(v) nor f2(v) will obeys the Maxwell’s distribution law
• D. f2(v) and f1(v) will be the same

Answer 1

Answer: (B)

f1(v), f2(v) will obeys the Maxwell’s distribution law separately

Answer 2

The Maxwell – Boltzmann speed distribution functions $\left( N_{V} = \frac{dN}{dv} \right)$depends on the mass of the gas molecule. [Here, dN is the number of molecules with speeds between v and (v + dv)]. The masses of hydrogen and oxygen molecules are different