Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer  A compound formed by elements X and Y crystallises in a cubic structure in which the X atoms are at the corners of a cube and the Y atoms are at the face centres. The formula of the compound is

    A)  \[X{{Y}_{3}}\]                                   

    B)  \[{{X}_{3}}Y\]

    C)  \[XY\]                                  

    D)  \[X{{Y}_{2}}\]

    Correct Answer: A

    Solution :

    As atoms X are  present at the eight corners of the cube, therefore, number of atoms of X in the unit cell \[=\frac{1}{8}\times 8=1\] As atoms Y are present at the face centres of the 6 faces of the cube, therefore, number of atoms of V in the unit cell  \[=\frac{1}{2}\times 6=3\] Hence, the formula of compound is \[X{{Y}_{3}}\]

adversite



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