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What is the calculated magnetic moment of iron(III) oxide (Fe2O3) at room temperature using an experimental molar susceptibility of 5.48 × 10^-6 cm^3/mol?

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To calculate the magnetic moment of iron III  oxide  Fe2O3  at room temperature, we can use the formula:Magnetic moment    =  n n+2    BM  Bohr magneton where n is the number of unpaired electrons and BM is the Bohr magneton  9.274  10^-24 J/T .First, we need to determine the number of unpaired electrons in Fe2O3. Iron III  has an oxidation state of +3, meaning it has lost 3 electrons from its 3d and 4s orbitals. The electronic configuration of Fe is [Ar] 3d^6 4s^2, and for Fe III , it is [Ar] 3d^5. There are 5 unpaired electrons in the 3d orbital.Now, we can use the formula to calculate the magnetic moment: =  5 5+2    BM =  5 7     9.274  10^-24 J/T  =  35    9.274  10^-24 J/T  = 5.92   9.274  10^-24 J/T  = 5.48  10^-23 J/THowever, this is the magnetic moment per iron atom. Since there are two iron atoms in the Fe2O3 molecule, we need to multiply the magnetic moment by 2:Magnetic moment of Fe2O3 = 2  5.48  10^-23 J/TMagnetic moment of Fe2O3 = 1.096  10^-22 J/TSo, the calculated magnetic moment of iron III  oxide  Fe2O3  at room temperature using an experimental molar susceptibility of 5.48  10^-6 cm^3/mol is approximately 1.096  10^-22 J/T.

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