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BITSAT2019ChemistrySolid StateActual

In a compound, atoms of elements Y form ccp lattice and those of element X occupy 2 / 3 rd of tetrahedral voids. The formula of the compound can be

Options

  1. AX 4 Y 3
  2. BX 2 Y 3
  3. CX 2 Y
  4. DX 3 Y 4

Correct answer

A. X 4 Y 3

Step-by-step solution

Let atoms of Y in ccp structure = 100 Then, number of tetrahedral voids = 2 × 100 ∵ Number of X atoms = 2 3 rd of tetrahedral voids ∴ Number of X atoms = 2 3 × 200 = 400 3 Hence, formula of compound can be = X 4 Y 3 .

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