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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 compound oxide ion have ccp arrangement, cations A are present...

In a compound oxide ion have ccp arrangement, cations A are present in 18\dfrac{1}{8} of the tetrahedral voids and cations B occupy 12\dfrac{1}{2} of the octahedral voids. What are the formula of the compound?

Options

  1. AA2BO4{A}_{2}B{O}_{4}
  2. BAB2O4A{B}_{2}{O}_{4}
  3. CABO2AB{O}_{2}
  4. DA2BO2{A}_{2}B{O}_{2}

Correct answer

B. AB2O4A{B}_{2}{O}_{4}

Step-by-step solution

Oxide ions are forming the lattice
Effective number of oxide ions =4(ccp)= 4 \left(ccp\right)
∴∴ Tetrahedral voids =2×4=8= 2 \times4 = 8
And effective number of A atom =18×8=1= \dfrac{1}{8} \times8 = 1
Number of octahedral voids =4= 4
Effective number of B atom =12×4=2= \dfrac{1}{2} \times4 = 2
∴∴ Molecular formulae =AB2O4= A{B}_{2}{O}_{4}
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