Redox ReactionsMedium

Redox balancing — half-reaction method

Balance the redox reaction in acidic medium: MnO₄⁻ + Fe²⁺ → Mn²⁺ + Fe³⁺.
Given data
MnO₄⁻ + Fe²⁺ → Mn²⁺ + Fe³⁺
Review the theory: Redox
Steps
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  1. Write the reduction half-reaction: MnO₄⁻ → Mn²⁺. How many e⁻ to reduce Mn(VII) to Mn(II)?
  2. Write the oxidation half-reaction: Fe²⁺ → Fe³⁺. How many e⁻ are lost?
  3. To balance electrons, multiply Fe by 5. What is the Fe²⁺:MnO₄⁻ ratio?
  4. Balance O and H in acidic medium. How many H₂O on the right?
Full worked solution
  1. Write the reduction half-reaction: MnO₄⁻ → Mn²⁺. How many e⁻ to reduce Mn(VII) to Mn(II)?
    7−27 - 2
    7−2=5=5 e−7 - 2 = 5 = \mathbf{5\,e^-}. Mn(VII) reduces to Mn(II).
  2. Write the oxidation half-reaction: Fe²⁺ → Fe³⁺. How many e⁻ are lost?
    3−23 - 2
    3−2=1=1 e−3 - 2 = 1 = \mathbf{1\,e^-}. Fe²⁺ oxidizes to Fe³⁺.
  3. To balance electrons, multiply Fe by 5. What is the Fe²⁺:MnO₄⁻ ratio?
    5:15 : 1
    5:1=5=55:1 = 5 = \mathbf{5}. Fe²⁺ : MnO₄⁻ ratio.
  4. Balance O and H in acidic medium. How many H₂O on the right?
    4=4 H2O4 = \mathbf{4\,H_2O}. MnO₄⁻ + 8H⁺ + 5e⁻ → Mn²⁺ + 4H₂O.
Result:MnO₄⁻ + 8H⁺ + 5Fe²⁺ → Mn²⁺ + 4H₂O + 5Fe³⁺