J & K CET Medical J & K - CET Medical Solved Paper-2011

  • question_answer
    Two oxides of a metal contain 36.4% and 53.4% of oxygen by mass respectively. If the formula of the first oxide is M-f), then that of the second is

    A) \[{{M}_{2}}{{O}_{3}}\]                                  

    B) \[MO\]

    C) \[M{{O}_{2}}\]                                 

    D) \[{{M}_{2}}{{O}_{5}}\]

    Correct Answer: B

    Solution :

                    For I oxide Oxygen = 36.4% Metal\[=100-36.4=63.6%\] Given, formula of oxide\[={{M}_{2}}O\] \[\therefore \]63.6% of metal = 2 atoms of metal and 36.4% of oxygen = 1 atom of oxygen For II oxide Oxygen = 53.4% Metal\[=100-53.4=46.6%\] \[\because \]63.6% of metal = 2 atoms of metal \[\therefore \]46.6% of metal\[=\frac{2\times 46.6}{63.6}\] = 1.46 atoms of metal Again,\[\because \]36.4% of oxygen = 1 atom of oxygen \[\therefore \]53.4% of oxygen\[=\frac{1\times 53.4}{36.4}\] = 1.46 atoms of oxygen Ratio of metal and oxide \[=1.46\,\,:1.46\] \[=1:1\] Hence, formula of metal oxide = MO


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