J.R. S. answered 02/12/22
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
Acidic solution means we can use H+ (acid) to balance the equation.
Here is the half-reaction method.
Fe2O3 + CO ==> Fe + CO2
Fe2O3 ==> Fe ... reduction half reaction
Fe2O3 ==> 2Fe ... balanced for Fe
Fe2O3 ==> 2Fe + 3H2O ... balanced for O
Fe2O3 + 6H+ ==> 2Fe + 3H2O ... balanced for H using H+
Fe2O3 + 6H+ + 6e- ==> 2Fe + 3H2O ... balanced for charge and is the final balanced half reaction
CO ==> CO2 ... oxidation half reaction
CO + H2O ==> CO2 ... balanced for C and O
CO + H2O ==> CO2 + 2H+ ... balanced for H using H+
CO + H2O ==> CO2 + 2H+ + 2e- ... balanced for charge and is the final balanced half reaction
Multiply the oxidation half reaction by 3 to equalize the electrons and add the two half reactions...
Fe2O3 + 6H+ + 6e- ==> 2Fe + 3H2O
3CO + 3H2O ==> 3CO2 + 6H+ + 6e-
------------------------------------------------------ add and combine and/or cancel like terms
Fe2O3 + 3CO ==> 2Fe + 3CO2 ... balanced redox equation