J & K CET Engineering J and K - CET Engineering 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 \[{{\text{M}}_{\text{2}}}\text{O,}\]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


You need to login to perform this action.
You will be redirected in 3 sec spinner