JEE Main & Advanced Sample Paper JEE Main - Mock Test - 39

  • question_answer
    At identical temperature and pressure the rate of diffusion of hydrogen gas is \[3\sqrt{3}\] times that of a hydrocarbon having molecular formula \[{{C}_{n}}{{H}_{2n-2}}\]. The value of n is

    A) 1                     

    B)        2

    C) 7                     

    D)        4

    Correct Answer: D

    Solution :

    \[\frac{{{r}_{{{H}_{2}}}}}{{{r}_{HC}}}=\sqrt{\frac{{{M}_{HC}}}{{{M}_{{{H}_{2}}}}}}\Rightarrow 3\sqrt{3}=\,\,\sqrt{\frac{{{M}_{HC}}}{2}}\] \[{{\operatorname{M}}_{HC}}={{({{3}^{3}})}^{2}}\times 2=54\] \[\therefore \,\,\,\,{{C}_{n}}{{H}_{2n-2}},\,\,12\times n+(2n-2)=54\,\,or\,\,n=4\]


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