J.R. S. answered 11/11/21
Ph.D. University Professor with 10+ years Tutoring Experience
To determine what is oxidized and what is reduced, just compare oxidation numbers for each element on both sides of the equation.
-- Cr in Cr2O72- has o.n. of 6+. Cr on the right side is 3+. Cr has gained electrons so it has been reduced making it the oxidizing agent.
-- U on the left is 4+ and on the right in UO22+ it is 6+. U has lost electrons so it has been oxidized making it the reducing agent.
Now for balancing. Treat each reaction separately and add them at the end. Here is a step by step...
Cr2O72- ==> 2Cr3+ ... balanced for Cr
Cr2O72- ==> 2Cr3+ + 7H2O ... balanced for O
Cr2O72- + 14H+ ==> 2Cr3+ + 7H2O ... balanced for H (in acidic medium)
Cr2O72- + 14H+ + 6e- ==> 2Cr3+ + 7H2O ... balanced for charge and is the balanced eq. for reduction rx
U4+ ==> UO22+
U4+ + 2H2O ==> UO22+ ... balanced for U and O
U4+ + 2H2O ==> UO22+ + 4H+ ... balanced for H (in acidic medium)
U4+ + 2H2O ==> UO22+ + 4H+ + 2e- ... balanced for charge and is the balanced eq. for oxidation rx
We need to multiply this oxidation rx by 3 to make the electrons equal to those in the reduction rx.
Then add the two reactions together and combine and/or cancel like items as follows:
Cr2O72- + 14H+ + 6e- ==> 2Cr3+ + 7H2O
3U4+ + 6H2O ==> 3UO22+ + 12H+ + 6e-
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Cr2O72- + 14H+ + 6e- + 3U4+ + 6H2O ==> 2Cr3+ + 7H2O + 3UO22+ + 12H+ + 6e-
Cr2O72- + 2H+ + 3U4+ ==> 2Cr3+ + H2O + 3UO22+ ... BALANCED REDOX EQUATION