DUMET Medical DUMET Medical Solved Paper-2002

  • question_answer
    A compound with empirical formula \[C{{H}_{2}}O\] has a vapour density of 30. Its molecular formula is:

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

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

    C)  \[C{{H}_{2}}O\]       

    D)  \[{{C}_{6}}{{H}_{12}}{{O}_{6}}\]

    Correct Answer: B

    Solution :

    Key Idea: Use the following formulas to find molecular formula of compound. Molecular mass \[=2\times \] vapour density \[n=\frac{molecular\text{ }mass}{empirical\text{ }formula\text{ }mass}\] Molecular formula \[=n\times \] empirical formula Given, Empirical formula \[=C{{H}_{2}}O\] Vapour density = 30 \[\therefore \] Molecular mass \[=2\times \] vapour density \[=2\times 30=60\] \[n=\frac{molecular\text{ }mass}{empirical\text{ }formula\text{ }mass}\] \[=\frac{60}{12+2\times 1+16}\] \[=\frac{60}{30}=2\] \[\therefore \] Molecular formula \[=2\,(C{{H}_{2}}O)\] \[={{C}_{2}}{{H}_{4}}{{O}_{2}}\]


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