Core Reactions: Balancing Redox Equations
Slide 9 of 29
Redox reactions in acidic medium: Step 5
–The charge on the left side of the reduction half-equation is -2 + 14 = 12, while on the right side it is 2 (3+) = 6. So the left side needs 6 electrons to bring the charge down to 6+.

Reduction half-equation: Cr2O72-  + 14H+ + 6e-  ®  2Cr3+ + 7H2O [Gain of e-]
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Step 5. Now that we have the two balanced half-reactions, the two can be combined after ensuring that the extent of oxidation (number of electrons lost) is matched by the extent of reduction (number of electrons gained)
–i) Since number of electrons lost is only 2 while that gained is 6, multiplying the oxidation half-equation by 3 balances it out
–  Oxidation half-equation: 6Cl-   ®  3Cl2  + 6e-
– Reduction half-equation: Cr2O72-  + 14H+ + 6e-  ®  2Cr3+ + 7H2O