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A crystal is made up of atoms X,Y & Z. Atoms, X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective numbers of atoms of Y and Z to the effective number of atoms of X is x:1, what is the value of x?

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answer is 2.

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Detailed Solution

Formula of the compound $= X_{4} Y_{4} Z_{8}$
Final formula $= X_{3.5} Y_{3} Z_{4}$

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A crystal is made up of atoms X,Y & Z. Atoms, X are in FCC packing. Y occupies all octahedral voids and Z occupies all tetrahedral voids. If all the atoms along two body diagonals are removed, the ratio of sum of effective numbers of atoms of Y and Z to the effective number of atoms of X is x:1, what is the value of x?