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What is the formula of a compound in which the element Y forms ccp lattice and atoms of X occupy 1/3rd of tetrahedral voids? - CBSE (Science) Class 12 - Chemistry

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Question

What is the formula of a compound in which the element Y forms ccp lattice and atoms of X occupy 1/3rd of tetrahedral voids?

Solution

Number of tetrahedral voids formed = 2 × Number of atoms of element Y

Number of atoms of element Y in the ccp unit cell = 4

Number of tetrahedral voids formed = 2 × 4 = 8

Number of tetrahedral voids occupied by atoms of X = (1/3) × 8/3

Ratio of the numbers of atoms of X and Y = 8/3 :4=2 :3

Hence, the formula of the compound is X2Y3.

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Solution What is the formula of a compound in which the element Y forms ccp lattice and atoms of X occupy 1/3rd of tetrahedral voids? Concept: Crystal Lattices and Unit Cells - Introduction.
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