Q21 / 77 · NTA Abhyas (JEE Main) 2020 · Chemistry · Solid State

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

  • A
    X5Y4O10
  • Correct answer
    B
    X4Y5O10
  • C
    XY2O4
  • D
    X2YO4

Solution

Number of O2- ions = n
Number of tetrahedral voids = 2n
Number of octahedral voids = n
Number of X ions =2n5
Number of Y ions =n2
X : Y : O 2n 5  :  n 2  : n 4 : 5 : 10
Simplest formula =X4Y5O10 .

Hence, the correct answer is option: 'B'.

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