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Q.

Ammonium chloride crystallizes in a body centered cubic lattice with edge length of unit cell equal to 387 pm.  If the size of chloride ion is 181 pm, the size of NH4+ ion would be

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a

116 pm

b

154 pm

c

174 pm

d

206 pm

answer is B.

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Detailed Solution

Given, Edge length of units cell, a = 387 ppm Radius of Chloride ion, rCl-=181 pmRadius of NH4+ ion, 1NH4+ = ?Body center cube ,BCC    2(r++r−)=a3⇒r++r−=a32⇒rNH4++rCl-=a32⇒rNH4++181=387×1.7322∴  rNH4+=154
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Ammonium chloride crystallizes in a body centered cubic lattice with edge length of unit cell equal to 387 pm.  If the size of chloride ion is 181 pm, the size of NH4+ ion would be