Ga (atomic mass 70 u ) crystallizes in a hexagonal close packed structure.

Question:

Ga (atomic mass $70 \mathrm{u}$ ) crystallizes in a hexagonal close packed structure. The total number of voids in $0.581 \mathrm{~g}$ of $\mathrm{Ga}$ is__________

$\times 10^{21}$. (Round off to the Nearest Integer).

Solution:

HCP structure : Per atom, there will be one octahedral void (OV) and two tetrahedral voids (TV).

Therefore total three voids per atom are present in HCP structure.

$\rightarrow$ therefore total no of atoms of Ga will be-

$=\frac{\text { Mass }}{\text { Molar Mass }} \times \mathrm{N}_{\mathrm{A}}=\frac{0.581 \mathrm{~g}}{70 \mathrm{~g} / \mathrm{mol}} \times 6.023 \times 10^{23}$

$\rightarrow$ Now, total Number of voids $=3 \times$ total

$=3 \times \frac{0.581}{70} \times 6.023 \times 10^{23}=14.99 \times 10^{21}$

$\simeq 15 \times 10^{21}$

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