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JEE Main20236 Apr 2023Morning ShiftChemistrySolid StateActual

A compound is formed by two elements X and Y . The element Y forms cubic close packed arrangement and those of element X occupy one third of the tetrahedral voids. What is the formula of the compound?

Options

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

Correct answer

A. X 2 Y 3

Step-by-step solution

Atoms of Element Y , are present in cubic close packing. In cubic close packing the number of atoms per unit cell is 4 . So, the effective number of element Y , per unit cell is 4 Element X , are present at one third of the tetrahedral voids. Number of tetrahedral void = Twice the number of atoms in unit cell Number of atoms of Element X are present unit cell = 1 3 × 8 = 8 3 X   :   Y 8 3   :   4 2       :   3 Formula of the compound = X 2 Y 3

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