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Q.

Ga (atomic mass) 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)

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answer is 15.

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Detailed Solution

HCP crystallises from Ga.
If the amount of particles per cell is n,
Tetrahedron void count = 2n
Octahedron void count  = n
                                Total  = 3n
The number of provided gallium atoms or particles is = WGAW×NA=0.58170×6.023×1023=0.0499×1023 atom 
-3 voids exist for each particle.
0.0499×1023= ? 0.0499×10231×3=0.1499×1023 voids  14.99×102115×1021 voids  a = 15

Therefore, the correct answer is 15

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