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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

In a solid, oxide ions are arranged in ccp. Cations 'A' occupy...

In a solid, oxide ions are arranged in ccp. Cations 'A' occupy one-sixth of the tetrahedral voids and cations 'B' occupy one-third of the octahedral voids. Which of the following is the correct formula of the oxide?

Options

  1. AABO3AB{O}_{3}
  2. BA2BO3{A}_{2}B{O}_{3}
  3. CAB2O3A{B}_{2}{O}_{3}
  4. DNone of these

Correct answer

A. ABO3AB{O}_{3}

Step-by-step solution

Cation A=16×8=86=43A = \dfrac{1}{6} \times 8 = \dfrac{8}{6} = \dfrac{4}{3}
Cation B=13×4=43B = \dfrac{1}{3} \times 4 = \dfrac{4}{3}
O2−=8×18+6×12=4O^{2 -} = 8 \times \dfrac{1}{8} + 6 \times \dfrac{1}{2} = 4
A : B : O2−=43:43:4=1:1:3O^{2 -} = \dfrac{4}{3}: \dfrac{4}{3}: 4 = 1: 1: 3
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