Final answer:
To write a balanced equation for the overall reaction in an acidic solution, combine the given half-reactions and cancel out redundant species. The overall equation is 6Fe²+ + 2Cr₂O₇²- + 14H⁺ → 6Fe³+ + 2Cr³+ + 7H₂O.
Step-by-step explanation:
To write a balanced equation for the overall reaction in an acidic solution, we need to combine the given half-reactions and cancel out any redundant species. Here are the balanced equations for each half-reaction:
(a) 3Fe²+ + Cr₂O₇²- → 3Fe³+ + Cr³+
(b) 8H⁺ + MnO₄⁻ + 5e⁻ → Mn²+ + 4H₂O
(c) 6H⁺ + Br₂ + 6e⁻ → 2Br⁻
(d) 5H₂O₂ → 2H₂O + O₂
Combining these equations and canceling out the electrons, we get the balanced overall reaction in an acidic solution:
6Fe²+ + 2Cr₂O₇²- + 14H⁺ → 6Fe³+ + 2Cr³+ + 7H₂O