What is the number of octahedral and tetrahedral voids presents respectively in 0.25 mole of a substance…

What is the number of octahedral and tetrahedral voids presents respectively in 0.25 mole of a substance having hcp structure?
  1. $3.011 \times 10^{23}, 1.50 \times 10^{23}$
  2. $6.011 \times 10^{23}, 3.011 \times 10^{23}$
  3. $3.011 \times 10^{23}, 6.022 \times 10^{23}$
  4. $1.50 \times 10^{23}, 3.011 \times 10^{23}$

Solution

In HCP structure for each atom one octahedral void and two tetrahedral voids will be present. No. Of atoms $=0.25 \times \mathrm{N}_{\mathrm{A}}=0.25 \times 6.022 \times 10^{23}$ No. of octahedral voids $=0.25 \mathrm{~N}_{\mathrm{A}}$ $=1.5 \times 10^{23}$ No. of tetrahedral voids $=2 \times 0.25 \times \mathrm{N}_{\mathrm{A}}$ $=3.011 \times 10^{23}$

Asked in: MHT CET 2021 (22 Sep Shift 1)

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