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Q.

Ammonium chloride crystallises 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

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a

174 pm

b

158 pm

c

142 pm

d

126 pm

answer is B.

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Detailed Solution

For bcc structure Inter ionic distance $= r^{+} + r^{-} = \frac{\sqrt{3}}{2} a$ (a = edge length )
$r_{{NH}_{4}^{+}}^{+} + r_{{Cl}^{-}}^{-} = \frac{\sqrt{3}}{2} a r_{{NH}_{4}^{+}}^{+} + 180 = \frac{\sqrt{3}}{2} \times 390 r_{{NH}_{4}^{+}}^{+} = 338 pm - 180 pm = 158 pm$

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Ammonium chloride crystallises 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