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TS EAMCET · Chemistry · Solid State

A compound is formed by elements A, B and O. Atoms of oxygen form ccp lattice. Atoms of A (cation) occupy \(\frac{1}{8}^{\text {th }}\) of tetrahedral voids and atoms of B (cation) occupy half of octahedral voids. What is the molecular formula of the compound?

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

Answer & Solution

Correct Answer

(C) \(\mathrm{AB}_2 \mathrm{O}_4\)

Step-by-step Solution

Detailed explanation

No. of tetrahedral voids is twice the no. of atoms. No. of octahedral voids is same as the no. of atoms. Oxygen at \(\mathrm{CCP}=1\) A occupy \(\frac{1}{8}\) of tetrahedral voids i.e. \(\frac{1}{8} \times 2=\frac{1}{4}\) B occupy half of octahedral void i.e.…
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