JCECE Engineering JCECE Engineering Solved Paper-2006

  • question_answer
    If rate of diffusion of \[C{{H}_{4}}\] is twice than that of a gas\[x\], then its molecular mass is:

    A) \[64\,\,g\]                          

    B) \[16\,\,g\]

    C) \[32\,\,g\]                                          

    D) \[8\,\,g\]

    Correct Answer: A

    Solution :

    If\[{{r}_{x}}=r\]then\[{{r}_{C{{H}_{4}}}}=2r\]                 \[{{M}_{C{{H}_{4}}}}=12+4=16\]                    \[{{M}_{X}}=?\] We know that,                   \[\frac{{{r}_{C{{H}_{4}}}}}{{{r}_{x}}}=\sqrt{\frac{{{M}_{X}}}{{{M}_{C{{H}_{4}}}}}}\]                    \[\frac{2r}{r}=\sqrt{\frac{{{M}_{x}}}{16}}\]                 \[{{(2)}^{2}}=\frac{{{M}_{x}}}{16}\]                     \[4=\frac{{{M}_{x}}}{16}\] or            \[{{M}_{x}}=64\]


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