Willie G. answered 03/23/22
Patient and Knowledgeable Chemistry Tutor
To get the net ionic equation the electrons for equations 1 and 2 must be the same.
To get the electrons to be the same you use the least common factor. So since the number of electrons in equation 1 is two and for equation 2 there are 5 electrons , the least common factor would be 10,
So multiple equation 1 by 2 and multiply equation 2 by 5.
Equation 1: 2 x (8H+ + MnO4- + 5e- → Mn2+ + 4H2O)
16H+ + 2MnO4- + 10e- → 2Mn2+ + 8H2O
Equation 2: 5 x ( H2C2O4 → 2CO2 + 2H+ + 2e-)
(5H2C2O4 → 10CO2 + 10H+ + 10e-
Lastly, once the electrons are equal, add both equations and cancel out like terms to get the net ionic equation
16H+ + 2MnO4- + 10e- → 2Mn2+ + 8H2O
5H2C2O4 →10CO2 + 10H+ + 10e-
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Net ionic equation: 6H+ + 2MnO4- + 5H2C2O4 → 2Mn2+ + 8H2O + 10CO2