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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 cubic packed structure of mixed oxides, the lattice is made up...

In a cubic packed structure of mixed oxides, the lattice is made up of oxide ions, one fifth of tetrahedral voids one occupied by X ions while one half of the octahedral voids are occupied by Y ions. Then formula of the oxide will be

Options

  1. AX5Y4O10{X}_{5}{Y}_{4}{O}_{10}
  2. BX4Y5O10{X}_{4}{Y}_{5}{O}_{10}
  3. CXY2O4X{Y}_{2}{O}_{4}
  4. DX2YO4{X}_{2}Y{O}_{4}

Correct answer

B. X4Y5O10{X}_{4}{Y}_{5}{O}_{10}

Step-by-step solution

Number of O2−O^{2 -} ions = n
Number of tetrahedral voids = 2n
Number of octahedral voids = n
Number of X ions =2n5= \dfrac{2n}{5}
Number of Y ions =n2= \dfrac{n}{2}
\leftX:Y:O2n5:n2:n4:5:10\begin{array}{ll}\text{X}\text{:}\text{Y}\text{:}\text{O} \\ \dfrac{\text{2n}}{5} \text{:}\dfrac{n}{2} \text{:}\text{n} \\ \text{4}\text{:}\text{5}\text{:}\text{10}\end{array}\right\}$
Simplest formula = {X}_{4}{Y}_{5}{O}_{10} .
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