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

  • question_answer
    The temperature at which RMS velocity of \[S{{O}_{2}}\] molecules is half that of He molecules at 300 K is            [NTSE 1991]

    A)                 150 K    

    B)                 600 K

    C)                 900 K    

    D)                 1200 K

    Correct Answer: D

    Solution :

      \[\frac{{{U}_{S{{O}_{2}}}}}{{{U}_{He}}}=\frac{1}{2}=\sqrt{\frac{{{M}_{He}}}{{{M}_{S{{O}_{2}}}}}\frac{{{T}_{S{{O}_{2}}}}}{{{T}_{He}}}}=\sqrt{\frac{4}{64}.\frac{{{T}_{S{{O}_{2}}}}}{300}}\]                                 \[=\frac{4}{64}\frac{{{T}_{S{{O}_{2}}}}}{300}=\frac{1}{4}\];  \[{{T}_{S{{O}_{2}}}}={{1200}^{o}}K\]


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