Chapter 18: Problem 29
Write a balanced equation for each of the following redox reactions in an acidic solution using the half-reaction method: (a) \(\mathrm{Zn}(\mathrm{s})+\mathrm{NO}_{3}^{-}(a q) \longrightarrow \mathrm{Zn}^{2+}(a q)+\mathrm{NO}(g)\) (b) \(\mathrm{Mn}^{2+}(a q)+\mathrm{BiO}_{3}^{-}(a q) \longrightarrow \mathrm{MnO}_{4}^{-}(a q)+\mathrm{Bi}^{3+}(a q)\)
Short Answer
Step by step solution
Identify the Half-Reactions (a)
Balance Atoms Except Oxygen and Hydrogen (a)
Balance Oxygen and Hydrogen -> Add Electrons (a)
Equalize the Number of Electrons (a)
Combine and Simplify (a)
Identify the Half-Reactions (b)
Balance Atoms Except Oxygen and Hydrogen (b)
Balance Oxygen and Hydrogen -> Add Electrons (b)
Equalize the Number of Electrons (b)
Combine and Simplify (b)
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Half-Reaction Method
During oxidation, a species loses electrons, whereas in reduction, a species gains electrons. By balancing these half-reactions separately, it becomes easier to manage the distribution of electrons independently for oxidation and reduction steps.
- Identify the species that are oxidized and reduced.
- Write separate half-reactions for each process.
- Balance the atoms and the charge for each half-reaction.
Balancing Equations
For redox reactions, the half-reaction method is particularly useful because these reactions often involve the transfer of electrons, which need to be accounted for along with the atoms. The steps include:
- First, writing the skeleton equations for both oxidation and reduction half-reactions.
- Then balance all elements except hydrogen and oxygen.
Finally, add electrons to balance charges of the half-reactions. Once both half-reactions are individually balanced, they are added together, ensuring the electrons cancel out to form the full balanced equation.
Acidic Solution
- Focus on balancing atoms other than oxygen and hydrogen first.
- Balance oxygen atoms by adding \(H_2O\) (water) to the side needing oxygen.
- Compensate for the added hydrogen from water by adding \(H^+\) ions to the appropriate side.
Oxidation-Reduction
Oxidation involves the loss of electrons, while reduction is the gain. Recognizing redox reactions involves identifying changes in oxidation states of elements within the reactants and products.
- Oxidation: Increase in oxidation state, indicative of electron loss.
- Reduction: Decrease in oxidation state, indicative of electron gain.