JEE Main & Advanced Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank Molecular speeds

  • question_answer
    The ratio of root mean square velocity to average velocity of gas molecules at a particular temperature is [IIT 1981]

    A)                 1.086 : 1               

    B)                 1 : 1.086

    C)                 2 : 1.086               

    D)                 1.086 : 2

    Correct Answer: A

    Solution :

               \[{{V}_{rms}}=\sqrt{\frac{3RT}{M}},{{V}_{av}}=\sqrt{\frac{8RT}{\pi M}}\]; \[\frac{{{V}_{rms}}}{{{V}_{av}}}=\sqrt{\frac{3\pi }{8}}\]                                 \[=\sqrt{\frac{66}{56}}\Rightarrow \frac{1.086}{1}\]


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