For a particular redox reaction, ClO−2 is oxidized to ClO−4 and Cu2+ is reduced to Cu+ . Complete and balance the equation for this reaction in basic solution. The phases are optional.

Did you mean [ClO2]^- and [ClO4]^-?

The balanced equation for the redox reaction described in basic solution is as follows:

2 ClO−2 + 2 OH− → ClO−4 + Cl− + H2O

To balance the equation, you can follow these steps:

Step 1: Separate the reaction into half-reactions for oxidation and reduction:

Oxidation half-reaction: ClO−2 → ClO−4
Reduction half-reaction: Cu2+ → Cu+

Step 2: Balance the atoms other than oxygen and hydrogen in each half-reaction:

For the oxidation half-reaction:
Cl: 2 ClO−2 → ClO−4

For the reduction half-reaction:
Cu: Cu2+ → Cu+

Step 3: Balance the oxygen atoms by adding water molecules (H2O) to the side that is deficient in oxygen:

For the oxidation half-reaction, there are 4 oxygen atoms on the product side (ClO−4 ), but only 2 on the reactant side (ClO−2 ). Adding 2 water molecules to the reactant side balances the oxygen atoms:

2 ClO−2 → ClO−4 + 2 H2O

Step 4: Balance the hydrogen atoms by adding hydrogen ions (H+) to the side that is deficient in hydrogen:

For the oxidation half-reaction, there are 4 hydrogen atoms on the product side (H2O), but none on the reactant side. Adding 4 hydrogen ions to the reactant side balances the hydrogen atoms:

2 ClO−2 + 4 H+ → ClO−4 + 2 H2O

Step 5: Balance the charge by adding electrons (e−) to the side that is deficient in charge:

For the reduction half-reaction:
Cu2+ → Cu+

Since the charge on Cu2+ is 2+ and on Cu+ is 1+, we need to add 1 electron to the product side to balance the charge:

Cu2+ + 1 e− → Cu+

Step 6: Multiply each half-reaction by the appropriate number so that the electrons lost in oxidation are equal to the electrons gained in reduction:

To do this, multiply the oxidation half-reaction by 1 and the reduction half-reaction by 2:

2 ClO−2 + 4 H+ → 2 ClO−4 + 4 H2O
2 Cu2+ + 2 e− → 2 Cu+

Step 7: Add the half-reactions together and cancel out any species that appear on both sides:

2 ClO−2 + 4 H+ + 2 Cu2+ + 2 e− → 2 ClO−4 + 4 H2O + 2 Cu+

Step 8: Simplify the equation by canceling out the electrons and combining like terms:

2 ClO−2 + 4 H+ + 2 Cu2+ → 2 ClO−4 + 4 H2O + 2 Cu+

The balanced equation for the redox reaction in basic solution is:

2 ClO−2 + 4 H+ + 2 Cu2+ → 2 ClO−4 + 4 H2O + 2 Cu+

To balance a redox reaction in basic solution, follow these steps:

1. Write the unbalanced equation:
ClO−2 + Cu2+ → ClO−4 + Cu+

2. Separate the equation into two half-reactions – oxidation and reduction.

Oxidation half-reaction: ClO−2 → ClO−4
Reduction half-reaction: Cu2+ → Cu+

3. Balance the atoms, except for oxygen and hydrogen, in each half-reaction.

Oxidation half-reaction: ClO−2 → ClO−4
As there are no atoms other than Cl in both species, the oxidation half-reaction is already balanced.

Reduction half-reaction: Cu2+ → Cu+
Since there are no atoms except copper in both species, the reduction half-reaction is already balanced.

4. Balance oxygen atoms by adding water (H2O) molecules to the side that needs more oxygen.

Oxidation half-reaction: ClO−2 → ClO−4 + 2H2O

5. Balance hydrogen atoms by adding hydrogen ions (H+) to the side that needs more hydrogen.

Oxidation half-reaction: ClO−2 + 2OH- → ClO−4 + 2H2O

6. Balance charge by adding electrons (e-) to the more positive side of the equation.

Oxidation half-reaction: ClO−2 + 2OH- → ClO−4 + 2H2O + 2e-

7. To balance the electrons in both half-reactions, multiply the oxidation half-reaction by the coefficient of the reduction half-reaction and vice versa.

Oxidation half-reaction: 3ClO−2 + 6OH- → 3ClO−4 + 6H2O + 6e-
Reduction half-reaction: 6Cu2+ → 6Cu+

8. Combine both half-reactions, cancel out common species, and simplify.

Overall balanced equation: 3ClO−2 + 6OH- + 6Cu2+ → 3ClO−4 + 6Cu+ + 6H2O

This is the balanced equation for the given redox reaction in basic solution.