JEE Main & Advanced Physics Kinetic Theory of Gases Sample Paper Topic Test - Kinetic Theory of Gases

  • question_answer
    A mixture of two gases X and Y is enclosed, at constant temperature. The relative molecular mass of X, which is diatomic, is 8 times that of Y which is monoatomic. What is the ratio of the r.m.s speed of molecules of Y to that of molecules of X?

    A) 2         

    B) \[2\sqrt{2}\]

    C) 4

    D) 8

    Correct Answer: B

    Solution :

    [b] \[v=\sqrt{\frac{3RT}{M}}\Rightarrow \,\,\frac{{{V}_{x}}}{{{V}_{y}}}=\sqrt{\frac{{{M}_{y}}}{{{M}_{x}}}}\]
    \[\Rightarrow \]            \[=\frac{{{V}_{x}}}{{{V}_{y}}}=\sqrt{\frac{{{M}_{y}}}{8{{M}_{y}}}}\Rightarrow \,\,\frac{{{V}_{y}}}{{{V}_{x}}}=2\sqrt{2}\]


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