J.R. S. answered 10/03/22
Ph.D. University Professor with 10+ years Tutoring Experience
8H⁺(aq) + MnO₄⁻(aq) + 5Fe²⁺(aq) → 5Fe³⁺(aq) + Mn²⁺(aq) + 4H₂O(l)
moles KMnO4 used = 59.15 ml x 1 L / 1000 ml x 0.0455 mol / L = 2.691x10-3 moles
moles Fe2+ = 2.691x10-3 moles MnO4- x 5 mol Fe2+ / mol MnO4- = 0.01346 mols
Grams Fe = 0.01346 mols x 55.85 g / mol = 0.7516 g
Mass % Fe = 0.7516 g / 1.535 g (x100%) = 48.96%