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JEE MainChemistrySolid State

In a solid compound, atoms of element X form a ccp lattice. Atoms of element Y occupy 1 n of the octahedral voids and 1 n of the tetrahedral voids. If the compound contains 60 % of Y atoms by number, the value of n is

Correct answer

2

Step-by-step solution

Let the number of atoms of element X forming the ccp lattice be N . In a ccp lattice, the number of octahedral voids is equal to the number of lattice atoms ( N ), and the number of tetrahedral voids is twice the number of lattice atoms ( 2N ). Number of Y atoms in octahedral voids = 1 n N Number of Y atoms in tetrahedral voids = 1 n 2N Total number of Y atoms = N n + 2N n = 3N n Total number of atoms in the compound = Number of X atoms + Number of Y atoms = N + 3N n The percentage of Y atoms by number is given as

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