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TS EAMCET · Chemistry · Solid State

The molecular formula of a crystal is \(\mathrm{AB}_2 \mathrm{O}_4\). Oxygen atoms form cep lattice. Atoms of A occupy \(x \%\) of tetrahedral voids and atoms of B occupy \(y \%\) of octahedral voids. \(x\) and \(y\) are respectively

  1. A \(12.5 \%, 50 \%\)
  2. B \(50 \%, 12.5 \%\)
  3. C \(33.3 \%, 66.6 \%\)
  4. D 66.6 \%, 33.3 \%$
Verified Solution

Answer & Solution

Correct Answer

(A) \(12.5 \%, 50 \%\)

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text {In ccp lattice } \\ & \text {Octahedral voids }=4 \\ & \text { Tetrahedral voids }=8 \\ & \text {Molecular formula }=\mathrm{AB}_2 \mathrm{O}_4 \\ & \therefore \quad \times \times \frac{8}{100}=1 \\ & \text {or, } \mathrm{x}=\frac{100}{8}=12.5 \%…