Q37 / 180 · COMEDK 2023 (Memory Based) · Chemistry

$\mathrm{NaCl}$ has face centred structure with edge length equal to $361 \mathrm{pm}$. The radius is

  • Correct answer
    A
    $127.6 \mathrm{pm}$
  • B
    $64 \mathrm{pm}$
  • C
    $180.5 \mathrm{pm}$
  • D
    $160.5 \mathrm{pm}$

Solution

For fcc lattice, $\begin{gathered} a \sqrt{2}=4 r \\ \therefore r=\frac{\sqrt{2}}{4} a \Rightarrow r=\frac{1.414 \times 361}{4} \Rightarrow r=127.6 \mathrm{pm} \end{gathered}$

Hence, the correct answer is option: 'A'.

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