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

  • question_answer
    What is the relationship between the average velocity (v), root mean square velocity (u) and most probable velocity a [AFMC 1994]

    A)                 \[\alpha :v:u::1:1.128:1.224\]

    B)                 \[\alpha :v:u::1.128:1:1.224\]

    C)                 \[\alpha :v:u::1.128:1.224:1\]

    D)                 \[\alpha :v:u::1.124:1.228:1\]

    Correct Answer: A

    Solution :

                \[{{V}_{av}}:{{V}_{rms}}\]: Vmost probable  = \[V:U:\alpha \]                    \[\sqrt{\frac{8RT}{\pi M}}:\sqrt{\frac{3RT}{M}}:\sqrt{\frac{2RT}{M}}\]                                 \[\alpha :V:U=\sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}\]      \[=1:1.128:1.224\]


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