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A vessel of volume V contains a mixture of 1 mole of Hydrogen and 1 mole of Oxygen (both considered as ideal). - Physics

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

Options

  • f1(v) + f2(v) = f(v) obeys the Maxwell’s distribution law.

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

  • Neither f1(v), nor f2(v) will obey the Maxwell’s distribution law.

  • f2(v) and f1(v) will be the same.

MCQ
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Solution

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

Explanation:

For a function f(v), the number of molecules n = f(v), which are having speeds between v and v + dv.

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

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RMS Speed of Gas Molecules
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Chapter 13: Kinetic Theory - Exercises [Page 92]

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NCERT Exemplar Physics [English] Class 11
Chapter 13 Kinetic Theory
Exercises | Q 13.7 | Page 92

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