J.R. S. answered 11/07/22
Ph.D. University Professor with 10+ years Tutoring Experience
I'm too lazy to include the phases, so I'll leave that up to you. The phases will be the same as those shown in the original reaction with H2O being (l) and OH- being (aq)
Cr2O72- ==> Cr3+ ... reduction half reaction
I2(s) ==> IO3- ... oxidation half reaction
Cr2O72- ==> 2Cr3+ + 7H2O ... balanced for Cr and O
Cr2O72- + 14H2O ==> 2Cr3+ + 7H2O + 14OH- ... balanced for Cr, O and H in basic solution (OH-).
Cr2O72- + 14H2O + 6e- ==> 2Cr3+ + 7H2O + 14OH- ... balanced reduction reaction
I2(s) + 6H2O ==> 2IO3- ... balanced for I and O
I2(s) + 6H2O + 12OH- ==> 2IO3- + 12H2O ... balanced for I, O and H in basic solution (OH-)
I2(s) + 12OH- ==> 2IO3- + 6H2O + 10e- ... balanced oxidation reaction
Multiply reduction reaction by 5 and oxidation reaction by 3 to equalize electrons:
5Cr2O72- + 70H2O + 30e- ==> 10Cr3+ + 35H2O + 70 OH-
3I2(s) + 36OH- ==> 6IO3- + 18H2O + 30e-
Combine and/or cancel like terms:
5Cr2O72- + 17H2O + 3I2(s) ==> 10Cr3+ + 34OH- + 6IO3- ... BALANCED REDOX EQUATION