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NCERT Class XII Chemistry
Chapter - The Solid State
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Question : 19 of 50
Marks: +1, -0
Ferric oxide crystallises in a hexagonal close-packed array of oxide ions with two out of every three octahedral holes occupied by ferric ions. Derive the formula of the ferric oxide.
Solution:  
Suppose the number of oxide ions (O2−^{2-}) in the packing = 90
∴ Number of octahedral voids = 90
As 2/3rd^{\text{rd}} of the octahedral voids are occupied by ferric ions, therefore,
number of ferric ions present =23×90=60\frac{2}{3} \times 90 = 60
∴    \therefore\;\; Ratio of  Fe3+:O2−=60:90=2:3\ \mathrm{Fe}^{3+} : \mathrm{O}^{2-} = 60 : 90 = 2 : 3
Hence, the formula of ferric oxide is  Fe2O3\ \mathrm{Fe}_{2}\mathrm{O}_{3}.
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