J.R. S. answered 01/10/20
Ph.D. University Professor with 10+ years Tutoring Experience
I- ===> I2 oxidation half reaction
2I- ===> I2 to balance Iodine
2I- ===> I2 + 2e- to balance charge
NO3- ==> NO reduction half reaction
NO3- ==> NO + 2H2O to balance oxygen
NO3- + 4H+ ==> NO + 2H2O to balance hydrogen using acid media
NO3- + 4H+ + 3e- ==> NO + 2H2O to balance charge
Multiply oxidation reaction by 3 and reduction reaction by 2 to equalize the electrons:
6I- ==> 3I2 + 6e-
2NO3 + 8H+ + 6e- ==> 2NO + 4H2O and adding these together we get...
6I- + 2NO3- + 8H+ ==> 3I2 + 2NO + 4H2O and adding back spectator ions we end up with...
6KI + 8HNO3 ==> 6KNO3 + 2NO + 3I2 + 4H2O