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Q.

A compound made of particles A,B and C forms a ccp lattice. In the lattice, ions A occupy the lattice points and ions B and C occupy the alternate tetrahedral voids. If all the ions along one of the body diagonals are removed, then formula of the compound is

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a

A3.75B3C4

b

A3B3C3.75

c

A3B3.75C3

d

A5B4C4

answer is A.

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Detailed Solution

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If all the ions along one of the body diagonals are removed,

Number of A ions removed =2×18( corner share )=14

Number of B ion removed = 1
Number of C ion removed = 1
(Since body diagonal ions are inside the cube so they do not share with other ions) Number of A ions left =414=3.75

Number of B ions left = 4 -1 = 3
Number of C ions left = 4 -1 = 3
Thus, formula is A3.75B3C3=A5B4C4

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