BHU PMT BHU PMT (Mains) Solved Paper-2011

  • question_answer
    A metal oxide has the formula\[{{A}_{2}}{{O}_{3}}\]. It can be reduced by hydrogen to give free metal and water. 0.1596 g of the metal oxide requires 6 mg of hydrogen for complete reduction. What is the atomic weight of metal?

    A)  52.3                      

    B)  57.5  

    C)   55.8                                     

    D)  59.3

    Correct Answer: C

    Solution :

    Sol.         \[\underset{0.1596g}{\mathop{{{A}_{2}}{{O}_{3}}}}\,+\underset{0.006g}{\mathop{3{{H}_{2}}}}\,\xrightarrow{{}}2A+3{{H}_{2}}O\] \[\because \]0.006 g of\[{{H}_{2}}\]reduces 0.1596 g of\[{{A}_{2}}{{O}_{3}}\]. \[\therefore \] 6 g of\[{{H}_{2}}\]will reduce                 \[=\frac{0.1596}{0.006}\times 6g\,of\,{{A}_{2}}{{O}_{3}}\] \[=159.6g\,of\,{{A}_{2}}{{O}_{3}}\] Hence, molecular weight of\[{{A}_{2}}{{O}_{3}}=159.6\text{ }g\]and atomic weight of metal =55.8


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