J.R. S. answered 03/29/24
Ph.D. University Professor with 10+ years Tutoring Experience
Bi2O4(aq) + H3PO2(aq) + H+(aq) + H2O(l) + OH−(aq) => BiO+(aq) + H3PO3(aq) + H+(aq) + H2O(l) + OH−(aq)
Since the question asks to balance in acid (H+), not sure what OH- is doing in the equation. Maybe someone else will weigh in on this.
Half reaction method
Reduction half reaction:
Bi2O4 ==> BiO+ (Bi goes from +4 to +3)
Bi2O4 ==> 2BiO+ + 2H2O .. balanced for Bi and O
Bi2O4 + 4H+ ==> 2BiO+ + 2H2O .. balanced for Bi, O and H (using acid)
Bi2O4 + 4H+ + 2e- ==> 2BiO+ + 2H2O .. balanced half reaction
Oxidation half reaction:
H3PO2 ==> H3PO3 (P goes from +1 to +3)
H3PO2 + H2O ==> H3PO3 .. balanced for P and O
H3PO2 + H2O ==> H3PO3 + 2H+ .. balanced for P, O and H
H3PO2 + H2O ==> H3PO3 + 2H+ + 2e- .. balanced half reaction
Add the 2 balanced half reactions together, and combine/cancel like terms:
Bi2O4 + 4H+ + 2e- ==> 2BiO+ + 2H2O
H3PO2 + H2O ==> H3PO3 + 2H+ + 2e-
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Bi2O4 + H3PO2 + 2H+ ==> 2BiO+ + H2O + H3PO3 .. balanced redox in acid