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NEET Chemistry The Solid State / ठोस प्रावस्था Question Bank Self Evaluation Test - The Solid State

  • question_answer
    Ammonium chloride crystallizes in a body centred cubic lattice with edge length of unit cell of 390 pm. If the size of chloride ion is 180 pm, the size of ammonium ion would be

    A) 174 pm      

    B) 158 pm

    C) 142 pm     

    D) 126 pm

    Correct Answer: B

    Solution :

    [b] For bcc structure Interionic distance \[={{r}^{+}}+{{r}^{-}}=\frac{\sqrt{3}}{2}a\] (a = edge length) \[r_{NH_{4}^{+}}^{+}+r_{c{{l}^{-}}}^{-}=\frac{\sqrt{3}}{2}a\] \[r_{NH_{4}^{+}}^{+}+180=\frac{\sqrt{3}}{2}\times 390\] \[r_{NH_{4}^{+}}^{+}=338pm-180pm=158pm\]


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