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AP EAMCET · Chemistry · Solid State

A solid compound is formed by atoms of A (cations), B (cations) and O (anions). Atoms of O form hcp lattice. Atoms of A occupy 25\% of tetrahedral holes and atoms of B occupy \(50 \%\) octahedral holes. What is the molecular formula of solid?

  1. A \(\mathrm{AB}_2 \mathrm{O}_4\)
  2. B \(\mathrm{ABO}_3\)
  3. C \(\mathrm{ABO}_2\)
  4. D \(\mathrm{A}_2 \mathrm{BO}_4\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\mathrm{ABO}_2\)

Step-by-step Solution

Detailed explanation

\(\mathrm{A}=25 \%\) Tetrahedral holes No. of Tetrahedral voids in a Lattice \(=12\) \(25 \%\) Tetrahedral holes \(=\frac{25}{100} \times 12=3\) \(\mathrm{B}=50 \%\) Octahedral holes No. of Octahedral voids in a Lattice \(=6\) \(50 \%\) Octahedral voids…