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BITSAT 2021
Exam
BITSAT
Year
2021
Subject
Chemistry
Chapter
Solid State

BITSAT 2021 · Chemistry · Solid State

Element 'B' forms ccp structure and 'A' 'occupies half of the...

Element 'B' forms ccp structure and 'A' 'occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids. The structure of bimetallic oxide is :

Options

  1. AA2BO4\mathrm{A}_{2} \mathrm{BO}_{4}
  2. BAB2O4\mathrm{AB}_{2} \mathrm{O}_{4}
  3. CA2B2O\mathrm{A}_{2} \mathrm{ B}_{2} \mathrm{O}
  4. DA4B2O\mathrm{A}_{4} \mathrm{ B}_{2} \mathrm{O}

Correct answer

B. AB2O4\mathrm{AB}_{2} \mathrm{O}_{4}

Step-by-step solution

No. of lattice points = No. of octahedral voids =12×=\frac{1}{2} \times No. of tetrahedral voids in ccpc c p structure ∴\therefore No. of atoms of B=4B=4 No. of atoms of A=12×A=\frac{1}{2} \times No. of octahedral voids =12×4=2=\frac{1}{2} \times 4=2 No. of atoms of O=O= All tetrahedral voids =2×=2 \times No. of lattice points =2×4=8=2 \times 4=8 Hence, A:B:O=1:2:4A: B: O=1: 2: 4 Therefore, the formula of the compound is AB2O4A B_{2} O_{4}
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