BCECE Medical BCECE Medical Solved Papers-2014

  • question_answer The empirical formula of a non-electrolyte is\[C{{H}_{2}}O\]. A solution containing 6g of the compound exerts the same osmotic pressure as that of 0.05 M glucose solution at the same temperature. The molecular formula of the compound is

    A)  \[{{C}_{2}}{{H}_{4}}{{O}_{2}}\]

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

    C)  \[{{C}_{5}}{{H}_{10}}{{O}_{5}}\]

    D)  \[{{C}_{4}}{{H}_{8}}{{O}_{4}}\]

    Correct Answer: D

    Solution :

    Solutions having same osmotic pressure, at a given temperature, have same concentration. Concentration of compound = concentration of glucose \[\frac{6}{M\times 1}=0.05\]                 \[M=\frac{6}{0.05}=120\] \[(C{{H}_{2}}O)=12+2+16=30\]          \[n=\frac{molecular\text{ }mass}{empirical\text{ }formula\text{ }mass}=\frac{120}{30}=4\] Hence, molecular formula \[{{(C{{H}_{2}}O)}_{4}}={{C}_{4}}{{H}_{8}}{{O}_{4}}\]

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