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JIPMER 2017
Exam
JIPMER
Year
2017
Subject
Chemistry
Chapter
Solid State

JIPMER 2017 · Chemistry · Solid State

A solid A B has NaCl structure. If the radius of cation A^ + is 170...

A solid ABA B has NaCl structure. If the radius of cation A+A^{+}is 170 pm , then the maximum possible radius of the anion B−B^{-}is

Options

  1. A397.4 pm
  2. B347.9 pm
  3. C210.9 pm
  4. D410.6 pm

Correct answer

D. 410.6 pm

Step-by-step solution

For NaCl type structure rA+rB−=0.414−0.737\frac{r_{A^{+}}}{r_{B^{-}}}=0.414-0.737 For maximum possible radius of B−B^{-}rA+rB−=0.414,170rB−=0.414rB−=1700.414=410.6pm\begin{aligned} & \frac{r_{A^{+}}}{r_{B^{-}}}=0.414, \frac{170}{r_{B^{-}}}=0.414 \\ & r_{B^{-}}=\frac{170}{0.414}=410.6 \mathrm{pm}\end{aligned}$$
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