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Ammonium chloride crystallizes in a body centred cubic lattice with edge length of unit cell of 390 pm . If the size of chloride ion is 180 pm , the size of ammonium ion would be

Options

  1. A174 pm
  2. B158 pm
  3. C142 pm
  4. D126 pm

Correct answer

B. 158 pm

Step-by-step solution

For bcc structure aligned Interionic distance = & r⁺+r⁻= 3 2 a & (a= edge length ) aligned aligned & r_ NH ₄⁺ ⁺+r_ Cl ⁻ ⁻= 3 2 a & r_ NH ₄⁺ ⁺+180= 3 2 390 aligned r _ NH ₄⁺ ⁺=338 pm -180 pm =158 pm

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