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Manipal Engineering Manipal Engineering Solved Paper-2009

  • question_answer
    A compound of\[A\]and\[B\]crystallizes in a cubic lattice in which A atoms occupy the lattice points at the corners of the cube. The\[B\]atoms occupy the centre of each face of the cube. The probable empirical formula of the compound is

    A) \[A{{B}_{2}}\]                                   

    B) \[{{A}_{3}}B\]                   

    C) \[AB\]                  

    D)        \[A{{B}_{3}}\]

    Correct Answer: D

    Solution :

    A occupies comers, thus number of A atoms per unit cell\[=8\times \frac{1}{8}=1\] B occupies face centres, thus number of B atoms per unit cell\[=6\times \frac{1}{2}=3\] \[\therefore \]The empirical formula of the compound is\[A{{B}_{3}}\].


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