KCET · Chemistry · Ionic Equilibrium
A crystalline solid \( X Y_{3} \) has ccp arrangement for its element \( Y . X \) occupies
- A \( 33 \% \) of tetrahedral voids
- B \( 33 \% \) of octahedral voids
- C \( 66 \% \) of tetrahedral voids
- D \( 66 \% \) of octahedral voids
Answer & Solution
Correct Answer
(B) \( 33 \% \) of octahedral voids
Step-by-step Solution
Detailed explanation
\( X Y_{3} \) 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.
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