A vessel of volume V contains a mixture of 1 mole of Hydrogen and 1 mo

1.	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(a) f1(v) + f2(v) = f (v) obeys the Maxwell’s distribution law.(b) f1 (v), f2 (v) will obey the Maxwell’s distribution law separately.(c) Neither f1 (v), nor f2 (v) will obey the Maxwell’s distribution law.(d) f2 (v) and f1 (v) will be the same.
Answer» (b) f₁ (v), f₂ (v) will obey the Maxwell’s distribution law separately. Comment: In a mixture, the average kinetic energy are equating. Hence, distribution in velocity are quite different.

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(a) f1(v) + f2(v) = f (v) obeys the Maxwell’s distribution law.(b) f1 (v), f2 (v) will obey the Maxwell’s distribution law separately.(c) Neither f1 (v), nor f2 (v) will obey the Maxwell’s distribution law.(d) f2 (v) and f1 (v) will be the same.

Answer»

(b) f₁ (v), f₂ (v) will obey the Maxwell’s distribution law separately.

Comment: In a mixture, the average kinetic energy are equating. Hence, distribution in velocity are quite different.

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