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A crystalline solid is made of X, Y and Z elements. Atoms of X form fcc packing , atoms of Y occupy octahedral voids while atoms of Z occupy tetrahedral voids. What will be the simplest formula of solid if atoms along one body diagonal are removed ?A. `X_(5)Y_(4)Z_(8)`B. XYZC. `X_(8)Y_(4)Z_(5)`D. `X_(2)YZ` |
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Answer» Correct Answer - A Number of atoms of X (at packing site, i.e., at corners and face-centres) `8xx(1)/(8)+6xx(1)/(2)=4` Number of atoms of Y=4 Number of atoms of Z=8 Along one body diagonal there will be two X atoms , one Y atoms and two Z atoms are found and are removed. Number of aotms of X will be `=4-(1)/(8)xx2=(15)/(4)` Number of atoms of Y will be 4-1=3 Number of atoms of Z will be =8-2=6 `X:Y:Z` `(15)/(4):3:6` `5:4:8` `therefore` Simplest formula will be `X_(5)Y_(4)Z_(8)`. |
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