COMEDK · Chemistry · 16. Solid State
\(\mathrm{NaCl}\) has face centred structure with edge length equal to \(361 \mathrm{pm}\). The radius is
- A \(127.6 \mathrm{pm}\)
- B \(64 \mathrm{pm}\)
- C \(180.5 \mathrm{pm}\)
- D \(160.5 \mathrm{pm}\)
Answer & Solution
Correct Answer
(A) \(127.6 \mathrm{pm}\)
Step-by-step Solution
Detailed explanation
For fcc lattice, \(\begin{gathered} a \sqrt{2}=4 r \\ \therefore r=\frac{\sqrt{2}}{4} a \Rightarrow r=\frac{1.414 \times 361}{4} \Rightarrow r=127.6 \mathrm{pm} \end{gathered}\)
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