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In a crystalline solid, anions Y are arr...

In a crystalline solid, anions Y are arranged in ccp arrangement. Cations 'X' are equally distributed between tetrahedral and Octahedral voids. If all the octahedral voids are occupied, what is the formula of solid ?

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Anions y in ccp arrangement = 4
Number of Octahedral voids = 4
Number of Tetrahedral voids = 4
Cations x in Octahedral voids = 4
Cations x in Tetrahedral voids = 4
`therefore` Total cations x in tetrahedral void and octahedral void = 8
`therefore x : y`
8 : 4
Hence, formula is `x_(2)y`
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