DUMET Medical DUMET Medical Solved Paper-2004

  • question_answer
    On reduction with hydrogen, 3.6 g of an oxide of metal left 3.2 g of metal. If the vapour density of metal is 32 , the simplest formula of the oxide would be :

    A)  MO

    B)  \[{{M}_{2}}{{O}_{3}}\]

    C)  \[{{M}_{2}}O\]

    D)  \[{{M}_{2}}{{O}_{5}}\]

    Correct Answer: C

    Solution :

    Key Idea: First find equivalent weight, then molecular weight and then molecular formula by using various formulas. Equivalent weight of metal \[=\frac{weight\text{ }of\text{ }metal}{weight\text{ }of\text{ }oxygen}\times 8\] Given, weight of oxide of metal = 3.6 g Weight of metal = 3.2 g Vapour density of metal = 32 \[\therefore \] Equivalent weight of metal \[=\frac{3.2}{3.6-3.2}\times 8\] \[=\frac{3.2}{0.4}\times 8\] = 64 Molecular weight \[=2\times \] vapour density \[=2\times 32\] = 64 \[n=\frac{molecular\text{ }weight}{equivalent\text{ }weight}\] \[=\frac{64}{64}=1\] Let the formula of metal oxide \[={{M}_{2}}{{O}_{n}}\] \[\therefore \] Formula of metal oxide \[={{M}_{2}}O\,(\because \,n=1)\]


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