6)
| 6e¯ + 14H+ + Cr2O72¯ ---> 2Cr3+ + 7H2O |
| 6 [Fe2+ ---> Fe3+ + e¯] |
the final answer:
| 14H+ + Cr2O72¯ + 6Fe2+ ---> 2Cr3+ + 7H2O + 6Fe3+ |
7)
| e¯ + H+ + HNO2 ---> NO + H2O |
| HNO2 ---> NO2 + H+ + e¯ |
the final answer:
| 2HNO2 ---> NO + NO2 + H2O |
Comment #1: notice that this is no H+ in the final answer, but please keep in mind that its presence is necessary for the reaction to proceed. In cases like this, the H+ is acting in a catalytic manner; it is used up in one reaction and regenerated in another (in equal amount), consequently it does not appear in the final answer.
Comment #2: this type of a reaction is called a disproportionation. It is often found in redox situations, although not always. An important disproportionation reaction which does not involve redox is 2H2O ---> H3O+ + OH¯. This reaction is of central importance in aqueous acid-base chemistry.
8)
| 5 [H2C2O4 ---> 2CO2 + 2H+ + 2e¯] |
| 2 [5e¯ + 8H+ + MnO4¯ ---> Mn2+ + 4H2O] |
the final answer:
| 5H2C2O4 + 6H+ + 2MnO4¯ ---> 10CO2 + 2Mn2+ + 8H2O |
9) First a bit of discussion before the correct answer. The H2O on the right side in the problem turns out to be a hint. This is because you need TWO half-reactions. For example, suppose the water wasn't in the equation and you saw this:
O2 + As ---> HAsO2
You'd think "Oh, that's easy" and procede to balance it like this:
H+ + O2 + As ---> HAsO2
Then, you'd balance the charge like this:
e¯ + H+ + O2 + As ---> HAsO2
And that is wrong because there is an electron in the final answer. You cannot have electrons appear in the final answer of a redox reaction. (You can in a half-reaction, but remember half-reactions do not occur alone, they occur in reduction-oxidation pairs.)
Here are the correct half-reactions:
| 3 [4e¯ + 4H+ + O2 ---> 2H2O] |
| 4 [2H2O + As ---> HAsO2 + 3H+ + 3e¯] |
the final answer:
| 3O2 + 2H2O + 4As ---> 4HAsO2 |
Notice that the H2O on the right-hand side of the equation in the list of problems goes away.
By the way, try to balance
O2 + As ---> HAsO2
using H2O on the left rather than H+. That way leads to the correct answer without having to use half-reactions. There are some redox reactions where using half-reactions turns out to be "more" work, but there aren't that many.
10) these are the half-reactions:
| 6H2O + I2 ---> 2IO3¯ + 12H+ + 10e¯ |
| e¯ + 2H+ + NO3¯ ---> NO2 + H2O |
Only the second half-reaction needs to be multiplied through by a factor:
| 6H2O + I2 ---> 2IO3¯ + 12H+ + 10e¯ |
| 10 [e¯ + 2H+ + NO3¯ ---> NO2 + H2O] |
Adding the two half-reactions, but not eliminating anything:
| 6H2O + 20H+ + I2 + 10NO3¯ ---> 2IO3¯ + 12H+ + 10NO2 + 10H2O |
The final answer:
| 8H+ + I2 + 10NO3¯ ---> 2IO3¯ + 10NO2 + 4H2O |