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COMEDK2018ChemistrySolid State

The radii of Na ⁺ and Cl ⁻ ions are 95 pin and 181 pm respectively. The edge length of NaCl unit cell is

Options

  1. A276 pm
  2. B138 pm
  3. C552 pm
  4. D415 pm

Correct answer

C. 552 pm

Step-by-step solution

NaCl forms fec structure. ( Diagonal length )²=( 2 a)²=2 (r⁺ )²+2 (r⁻ )² Where, a= edge length, r⁺ and r⁻ are radii of Na ⁺ and Cl ⁻ ions. a=2 [ (r⁺ )²+ (r⁻ )² ]=2(95+181)=2 276=552 pm

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