J.R. S. answered 11/26/21
Ph.D. University Professor with 10+ years Tutoring Experience
This is similar to the other problem of yours that I answered, except it used base (OH-) instead of acid (H+). The steps are pretty much the same.
PbO ==> Pb ... reduction half reaction b/c Pb goes from 2+ to zero
PbO ==> Pb + H2O ... balanced for Pb and oxygen
PbO + 2H2O ==> Pb + H2O + 2OH- ... balanced for hydrogen using OH- and H2O
PbO + 2H2O + 2e- ==> Pb + H2O + 2OH- ... balanced for charge
NH3 ==> N2 ... oxidation half reaction b/c N goes from 3- to zero
2NH3 ==> N2 ... balanced for mass of nitrogen
2NH3 + 6OH- ==> N2 + 6H2O ... balanced for hydrogen using OH- and H2O
2NH3 + 6OH- ==> N2 + 6H2O + 6e- ... balanced for charge
Multiply reduction reaction by 3 to equalize electrons and then add the two equations together.
3PbO + 6H2O + 6e- ==> 3Pb + 3H2O + 6OH- ... reduction reaction
2NH3 + 6OH- ==> N2 + 6H2O + 6e- ... oxidation reaction
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3PbO + 2NH3 ==> 3Pb + 3H2O + N2 ... balanced redox (balanced for mass and charge)