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A compound consisting of the monvalent ions, ` A^(+) , B^(-)` crystallizes in the body -centred cubic lattice. (i) What is the formula of the compound ? (ii) If one of ` A^(+)` ions from the corner is replaced by a monovalent ion `C^(+)`. What would be the simplest formula of the resulting compound ? |
Answer» (i) Contribution of ` A^(+)` ions present at the corners to wards unit cell =` 8 xx 1/8 =1` Contribution of `B^(-)` ion present at the body - centre =1 Ration of ` A^(+) : B^(-)` = 1:1 . Hence , the formula is AB. (ii) ` A^(+)` ions at the corners = 7. Hence, their contribution towards unit cell = ` 7/8` ` C^(+)` ion at one corner contributes = `1/8` ` B^(-)` ion at the body centre has contribution =1 . Hence, ratio of A:B :C =` 7/8 : 1/8 :1 = 7: 1 : 8` Formula will be ` A_(7)BC_(8)` |
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