Respuesta :
Answer:
H⁺ = 8; Fe³⁺ = 5
Explanation:
In order to balance a redox reaction, we use the ion-electron method.
Step 1: Identify both half-reactions.
Reduction: MnO₄⁻(aq) → Mn²⁺(aq)
Oxidation: Fe²⁺(aq) → Fe³⁺(aq)
Step 2: Balance the masses using H⁺ and H₂O where appropiate.
8 H⁺(aq) + MnO₄⁻(aq) → Mn²⁺(aq) + 4 H₂O(l)
Fe²⁺(aq) → Fe³⁺(aq)
Step 3: Balance the charges adding electrons where appropiate.
8 H⁺(aq) + MnO₄⁻(aq) + 5 e⁻ → Mn²⁺(aq) + 4 H₂O(l)
Fe²⁺(aq) → Fe³⁺(aq) + 1 e⁻
Step 4: Multiply both half-reactions by numbers that assure that the number of electrons gained is equal to the number of electrons lost.
1 × [8 H⁺(aq) + MnO₄⁻(aq) + 5 e⁻ → Mn²⁺(aq) + 4 H₂O(l)]
5 × [Fe²⁺(aq) → Fe³⁺(aq) + 1 e⁻]
Step 5: Add both half-reactions
8 H⁺(aq) + MnO₄⁻(aq) + 5 e⁻ + 5 Fe²⁺(aq) → Mn²⁺(aq) + 4 H₂O(l) + 5 Fe³⁺(aq) + 5 e⁻
8 H⁺(aq) + MnO₄⁻(aq) + 5 Fe²⁺(aq) → Mn²⁺(aq) + 4 H₂O(l) + 5 Fe³⁺(aq)
Answer:
The coefficient of [tex]\rm H^+[/tex] in the balanced equation is 8 and coefficient of [tex]\rm Fe^3^+[/tex] is 5.
Explanation:
To balance a redox reaction in the acidic medium, the number of atoms of all the elements involved in the reaction must be equal for substrates and product.
The reaction given has:
[tex]\rm Fe^2^+\;+\;MnO_4^-\;\rightarrow\;Fe^3^+\;+\;Mn^2^+[/tex]
The change in the oxidation number of the elements on reaction is seen.
Fe changes its oxidation state from +2 [tex]\rm \rightarrow[/tex] +3, change is +1
The oxidation state of Mn changes from +7 [tex]\rm \rightarrow[/tex] +2, change is -5
There is required 5 atoms of Fe for 1 atom of Mn.
With this, the equation can be written as:
[tex]\rm 5\;Fe^2^+\;+\;1\;MnO_4^-\;\rightarrow\;5\;Fe^3^+\;+\;1\;Mn^2^+[/tex]
The reaction is further balanced with H and O, with formation of [tex]\rm H_2O[/tex].
[tex]\rm 5\;Fe^2^+\;+\;1\;MnO_4^-\;+\;8\;H^+\rightarrow\;5\;Fe^3^+\;+\;1\;Mn^2^+\;+\;4\;H_2O[/tex]
The coefficient in front of [tex]\rm H^+[/tex] is 8 and that of [tex]\rm Fe^3^+[/tex] is 5.
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