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The Solid State

Question
CBSEENCH12010880
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An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centres of the faces of the cube. The empirical formula for this compound would be

  • A2B

  • AB

  • AB3

  • A3B

Solution

C.

AB3

straight A space equals 1 over 8 space straight x space 8 space equals 1 left parenthesis corner right parenthesis straight B space equals space 1 half space straight x space 6 space equals space 3 left parenthesis Face space centre right parenthesis therefore space AB subscript 3

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