Q45 / 180 · KCET 2014 · Chemistry
A crystalline solid \( X Y_{3} \) has ccp arrangement for its element \( Y . X \) occupies
- A\( 33 \% \) of tetrahedral voids
- Correct answerB\( 33 \% \) of octahedral voids
- C\( 66 \% \) of tetrahedral voids
- D\( 66 \% \) of octahedral voids
Solution
\( X Y_{3} \) has ccp arrangement for element \( Y, X \) occupies \( 33 \% \) octahedral voids.
In case of close packed arrangement there is one octahedral and two tetrahedral voids corresponding to each atom
constituting the lattice.
Atom \( Y \) adopt ccp arrangement and there are \( 2 \) tetrahedral sites per atom of \( Y \). Atom \( X \) occupies one octahedral void
corresponding to each atom constituting the lattice. Total there are \( 3 \) voids
In \( \% \times \) occupies \( \frac{1}{3} \times 100 \% \) octahedral voids \( =33.33 \% \) octahedral voids.
In case of close packed arrangement there is one octahedral and two tetrahedral voids corresponding to each atom
constituting the lattice.
Atom \( Y \) adopt ccp arrangement and there are \( 2 \) tetrahedral sites per atom of \( Y \). Atom \( X \) occupies one octahedral void
corresponding to each atom constituting the lattice. Total there are \( 3 \) voids
In \( \% \times \) occupies \( \frac{1}{3} \times 100 \% \) octahedral voids \( =33.33 \% \) octahedral voids.
Hence, the correct answer is option: 'B'.