Solid State Question 63

Question: A solid AB has NaCl structure. If the radius of action $ {{A}^{+}} $ is 170 pm, calculate the maximum possible radius of the anion $ {{B}^{-}} $

Options:

A) 210.3 pm

B) 397.4 pm

C) 410.6 pm

D) 347.9 pm

Show Answer

Answer:

Correct Answer: C

Solution:

[c] For NaCl type structure $ \frac{{r _{{{C}^{+}}}}}{{r _{{{A}^{-}}}}}=0.414-0.737 $ For maximum possible radius of $ {{B}^{-}} $ $ \frac{{r _{{{A}^{+}}}}}{{r _{{{B}^{-}}}}}=0.414 $

$ {r _{{{B}^{-}}}}=\frac{170}{0.414}=410.6 $