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

  • question_answer
    The radii of \[N{{a}^{+}}\]and \[C{{l}^{-}}\]ions are 95 pm and 181 pm respectively. The edge length of \[NaCl\]unit cell is 

    A) 276 pm            

    B) 138 pm

    C) 552 pm      

    D) 415 pm

    Correct Answer: C

    Solution :

      [c] In a fcc lattice, the distance between the cation and anion is equal to the sum of their radii, which is equal to half of the edge length of unit cell, i.e.\[~{{r}^{+}}+{{r}^{-}}=\frac{a}{2}\]     (where a = edge length) \[{{r}^{+}}=95pm,\,\,{{r}^{-}}=181pm\] Edge length \[=2{{r}^{+}}+2{{r}^{-}}=(2\times 95+2\times 181)pm\] \[=\left( 190+362 \right)pm=552pm.\]                 


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