Home Physics Kinetic Theory of Gases Mixture A vessel of volume V contains a mixture of 1…
Physics Kinetic Theory of Gases Mixture MCQ (Single Correct)

A vessel of volume V contains a mixture of 1 mole of hydrogen and 1 mole of oxygen (both considered as ideal). Let f 1 (v)dv denote the faction of molecules with speed between v and (v + dv) with f 2 (v)dv, similarly for oxygen. Then

A
f 1 (v) + f 2 (v) = f (v) obeys the Maxwell’s distribution law
B
f 1 (v), f 2 (v) will obeys the Maxwell’s distribution law separately
C
Neither f 1 (v) nor f 2 (v) will obeys the Maxwell’s distribution law
D
f 2 (v) and f 1 (v) will be the same

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The correct answer is:
B

The Maxwell – Boltzmann speed distribution functions 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.

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