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Q.

Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of  voids in 0.581 g of Ga  is _____ ×1021  (round off to the nearest integer ) (given :NA=6.023×1023)

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answer is 15.

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Detailed Solution

Ga Crystallises in a hexagonal close packing
No. of  atoms per unit cell =16×12+12×2+1×3=6

No. of tetrahedral voids =2×6=12 No. of octahedral voids = 6

Total voids per unit cell = 18Total voids per atom of  Ga=186=3

Total no. of atoms of  Ga= mass  molar mass ×Na=0.58170×6.023×1023

Total no. of voids =3× total no. of atoms =3×0.58170×6.023×1023
=14.99×102115×1021

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