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In a crystalline solid, atoms of X form fcc packing and atoms of Y occupy all octahedral voids. If all the atoms along one body diagonal are removed, what is the simplest formula of the crystalline lattice solid? |
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Answer» Correct Answer - `X_(5)Y_(4)` Number of atoms of X in fcc packing `=8xx(1)/(8)+6xx(1)/(2)=4` Number of atoms of Y at octahedral voids = 4 Along one body diagonal, there are two X atoms and one Y atom. Number of effective atoms of X after removal = `4-2xx(1)/(8)=(15)/(4)` Number of effetive atoms of Y after removal = 4-1=3 `X:Y=(15)/(4):3=5:4` Simplest formula of the solid `=X_(5)Y_(4)`. |
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