In: Chemistry
Solution :-
Half reactions
CrO4^2- ----- > Cr(OH)3
CN- ------ > OCN-
Balancing the oxygen by adding H2O
CrO4^2- ----- > Cr(OH)3 + H2O
H2O + CN- ------ > OCN-
Balancing hydrogens by adding H+
5H^+ + CrO4^2- ----- > Cr(OH)3 + H2O
H2O + CN- ------ > OCN- + 2H^+
Balancing electronic charge by adding electrons
3e- +5H^+ + CrO4^2- ----- > Cr(OH)3 + H2O
H2O + CN- ------ > OCN- + 2H^+ +2e-
Equalizing electrons by multiplying equation 2 by 3 and equation 1 by 2
6e- +10H^+ + 2CrO4^2- ----- > 2Cr(OH)3 + 2H2O
3H2O + 3CN- ------ > 3OCN- + 6H^+ +6e-
Adding equation by canceling the similar species on opposite sides
4H^+ + 2CrO4^2- + H2O + 3CN^- ----- > 2Cr(OH)3 + 3OCN^-
Now adding OH- to both sides
4OH^- + 4H^+ + 2CrO4^2- + H2O + 3CN^- ----- > 2Cr(OH)3 + 3OCN^- + 4OH-
Final equation
5H2O + 2CrO4^2- + 3CN^- ----- > 2Cr(OH)3 + 3OCN^- + 4OH^-