How many total voids are present in 1 mole of compound that forms hcp structure?

How many total voids are present in 1 mole of compound that forms hcp structure?
  1. $1.806 \times 10^{24}$
  2. $1.204 \times 10^{24}$
  3. $3.011 \times 10^{23}$
  4. $6.022 \times 10^{23}$

Solution

In HCP structure For each atom total three voids are present (one octahedral and two tetrahedral) Number of atoms in $1 \mathrm{~mol}$ of compound $=6.022 \times 10^{23}$ Total number of voids $=$ No. of atoms $\times 3$ $\begin{aligned} & =6.022 \times 10^{23} \times 23 \\ & =18.06 \times 10^{23} \\ & =1.806 \times 10^{24} \end{aligned}$

Asked in: MHT CET 2021 (20 Sep Shift 1)

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