Q22 / 160 · TS EAMCET 2018 (04 May Shift 1) · Chemistry

A compound is formed by elements of X,Y and Z. Atoms of Z (anions) make FCC lattice. Atoms of X (cations) occupy all the octahedral voids. Atoms of Y (cations) occupy 13rd of the tetrahedral voids. The formula of the compound is:

  • Correct answer
    A
    X3Y2Z3
  • B
    X2YZ
  • C
    XY2Z
  • D
    X2Y2Z

Solution

In FCC lattice, there are 4 atoms per unit cell.

∴ z=4

Each atom consists of only one octahedral void.

∴ Total number of octahedral voids, x=1(4)=4. 

Given, Y occupies 13rdTetrahedral voids

Each sphere forms 2 tetrahedral voids.

∴ Y=132×4=83

Formula of the compound =X4Y83Z4

=X3Y2Z3.

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

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