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JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Question Bank Mock Test - Solid State

  • question_answer
    \[MgA{{l}_{2}}{{O}_{4}}\], is found in the spinel structure in which \[{{O}^{2-}}\] ions constitute CCP lattice, \[M{{g}^{2+}}\] ions occupy l/8th of the tetrahedral voids and \[A{{l}^{3+}}\] ions occupy 1/2 of the octahedral voids. Find the total +ve charge contained in one unit cell.

    A) +7/4 electronic charge

    B) +6 electronic charge

    C) +2 electronic charge

    D) +8 electronic charge

    Correct Answer: D

    Solution :

    [d] In ccp lattice, \[{{Z}_{eff}}=4\] No. of TVs=8, No. of OVs=4 Total positive charge = Charge on \[M{{g}^{2+}}\]+ Charge on \[A{{l}^{3+}}\]\[=\frac{1}{8}\times 8\times 2+\frac{1}{2}\times 4\times 3=8\]electronic charge.


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