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

NTA Abhyas 2020 · Chemistry · Solid State

A mineral has molecular formula X Y _ 2 O _ 4 . O^ 2 - ions are...

A mineral has molecular formula XY2O4X{Y}_{2}{O}_{4}. O2−O^{2 -} ions are arranged in ccp and cations of X are present in octahedral voids. Cations of Y are equally distributed among octahedral and tetrahedral voids. The fraction of the octahedral voids occupied will be

Options

  1. A16\dfrac{1}{6}
  2. B18\dfrac{1}{8}
  3. C14\dfrac{1}{4}
  4. D12\dfrac{1}{2}

Correct answer

D. 12\dfrac{1}{2}

Step-by-step solution

Number of O2−O^{2 -} ions = n
Number of tetrahedral voids = 2n
Number of octahedral voids = n
Number of Y ions =n2= \dfrac{n}{2} ,
Number of X ions =n4= \dfrac{n}{4}
Occupied octahedral voids =n4+n4=n2= \dfrac{n}{4} + \dfrac{n}{4} = \dfrac{n}{2}
So fraction of occupied octahedral voids =12= \dfrac{1}{2}.
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