Corban E. answered 12/20/21
AP Chemistry Tutor and Former Teacher (Gen Chem, IB, O-Level, A-Level)
Balance the following redox reaction under acidic conditions.
MnO4^-1 + SO3^-2 --> Mn^+2 + SO4^-2
separate into two halves
balance O with H2O
balance H with H+
balance charge with electrons
equalize electrons in the two half reactions if necessary
add the reactions together and cancel species that are on both sides.
MnO4- → Mn2+
MnO4- → Mn2++4H2O
8H+ +MnO4- → Mn2++4H2O
charge=7+ charge=2+
5e-+8H+ +MnO4- → Mn2++4H2O
SO32- → SO42-
H2O+SO32- → SO42-
H2O+SO32- → SO42-+2H+
charge=2- charge=0
H2O+SO32- → SO42-+2H++2e-
equalize electrons
2(5e-+8H+ +MnO4- → Mn2++4H2O)
5(H2O+SO32- → SO42-+2H++2e-)
10e-+16H+ +2MnO4- → 2Mn2++8H2O
5H2O+5SO32- → 5SO42-+10H++10e-
cancel the e-, cancel the H2O to show excess (3 excess H2O on the right, 5H2O on the left cancelled) cancel H+ to show excess (16H+ on the left, 10H+ on the right, 6 excess H+ on the left)
6H+ +2MnO4-+5SO32- → 2Mn2++8H2O+5SO42-
charge=6-2-10=-6 charge=4-10=-6
balanced in elements and charge in acidic conditions