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Question: Answered & Verified by Expert
A vessel of volume $V$ contains a mixture of 1 mole of hydrogen and 1 mole oxygen (both considered as ideal). Let $f_1(v) d v$, denote the fraction of molecules with speed between $v$ and $(v+d v)$ with $f_2(v) d v$, similarly for oxygen. Then,
PhysicsKinetic Theory of Gases
Options:
  • A
    $f_1(v)+f_2(v)=f(v)$ obeys the Maxwell's distribution law
  • B
    $f_1(v), f_2(v)$ will obey the Maxwell's distribution law separately
  • C
    neither $f_1(v)$, nor $f_2(v)$ will obey the Maxwell's distribution law
  • D
    $f_2(v)$ and $f_1(v)$ will be the same
Solution:
2770 Upvotes Verified Answer
The correct answer is:
$f_1(v), f_2(v)$ will obey the Maxwell's distribution law separately
For a function $f_1(v)$ the number of molecules $(n)$ which will have their speeds between $v$ and $v+d v$.
For each function $f_1(v)$ and $f_2(v)$ number of molecules remain same 1 mole each but due to mass difference their speed will be different.
Hence both gases of each function $f_1(v)$ and $f_2(v)$ will obey the Maxwell's distribution law separately.

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