CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    The temperature at which oxygen molecules have the same root mean square speed as that of hydrogen molecules at 300 K is

    A)  600 K                   

    B)         2400 K

    C)  1200 K                 

    D)         300 K

    E)  4800 K

    Correct Answer: E

    Solution :

    \[\sqrt{\frac{3R{{T}_{O}}}{{{M}_{O}}}}=\sqrt{\frac{3R{{T}_{H}}}{{{M}_{H}}}}\] or            \[\frac{{{T}_{O}}}{{{M}_{O}}}=\frac{{{T}_{H}}}{{{M}_{H}}}\] or            \[\frac{{{T}_{O}}}{32}=\frac{300}{2}\] or            \[{{T}_{O}}=16\times 300\]                 \[=4800\,K\]


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