EAMCET Medical EAMCET Medical Solved Paper-1996

  • question_answer
    0.202 g of a substance gave on combustion 0.361 g of \[\text{C}{{\text{O}}_{\text{2}}}\]and0.147 g of \[{{\text{H}}_{\text{2}}}\text{O}\text{.}\]What is the empirical formula of the substance?

    A)  \[{{C}_{6}}{{H}_{6}}{{O}_{6}}\]                 

    B)  \[{{C}_{7}}{{H}_{7}}{{O}_{7}}\]

    C)  \[{{C}_{3}}{{H}_{6}}{{O}_{2}}\]                 

    D)  \[{{C}_{4}}{{H}_{5}}{{O}_{3}}\]

    Correct Answer: C

    Solution :

                     % of \[C=\frac{12}{44}\times \frac{\text{wt}\text{.}\,\text{of}\,C{{O}_{2}}}{\text{wt}\text{.of}\,\text{organic}\,\text{compound}}\times 100\] \[=\frac{12}{44}\times \frac{0.361}{0.202}\times 100\] \[=48.78%\] % of \[H=\frac{2}{18}\times \frac{\text{wt}\text{.}\,\text{of}\,{{H}_{2}}O}{\text{wt}\text{.of}\,\text{organic}\,\text{compound}}\times 100\]                 \[=\frac{2}{18}\times \frac{0.147}{0.202}\times 100\] \[=8.08%\]                 % of \[\text{O}=100-(%of\,C+%of\,H)\] \[=100-(48.78+8.08)\] \[=43.2%\]
    Element % At. wt. \[\frac{\text{ }\!\!%\!\!\text{ }}{\text{At}\text{.wt}\text{.}}\] Simple  Ratio
    C 48.78 12 \[\frac{48.78}{12}\] \[=4.06\] \[\frac{4.06}{2.7}\]\[=1.5\times 2=3\]
    H 8.08 1 \[\frac{8.08}{1}=8.08\] \[\frac{8.08}{2.7}\]\[=3\times 2=6\]
    O 43.2 16 \[\frac{43.2}{16}=2.7\] \[\frac{2.7}{2.7}\]\[=1\times 2=2\]
    So, empirical formula is \[{{\text{C}}_{\text{3}}}{{\text{H}}_{\text{6}}}{{\text{O}}_{\text{2}}}\text{.}\]


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