RAJASTHAN PMT Rajasthan - PMT Solved Paper-2007

  • question_answer
    In a compound \[C,\,\,H\] and \[N\] are present in \[9:13.5\] by weight. If molecular weight of the compound is\[108\], then the molecular formula on the compound is

    A) \[{{C}_{2}}{{H}_{6}}{{N}_{2}}\]                  

    B)        \[{{C}_{3}}{{H}_{4}}N\]

    C)        \[{{C}_{6}}{{H}_{8}}{{N}_{2}}\]                  

    D)        \[{{C}_{9}}{{H}_{12}}N\]

    Correct Answer: C

    Solution :

    C                             H                             N \[9\]                      \[1\]                      \[3.5\] \[9/12=0.75\]     \[1/1=1\]                           \[3.5/14=0.25\] \[\frac{0.75}{0.25}=3\]   \[\frac{1}{0.25}=4\]         \[\frac{0.25}{0.25}=1\] So, empirical formula\[={{C}_{3}}{{H}_{4}}N\]                                       \[n=\frac{108}{54}=2\] Molecular formula\[={{({{C}_{3}}{{H}_{4}}N)}_{2}}={{C}_{6}}{{H}_{8}}{{N}_{2}}\]


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