Problem 46
Question
Identify each of these half-reactions as either oxidation or reduction. $$ \begin{array}{l}{\text { a. } \mathrm{Al} \rightarrow \mathrm{Al}^{3+}+3 \mathrm{e}^{-}} \\ {\text { b. } \mathrm{Cu}^{2+}+\mathrm{e}^{-} \rightarrow \mathrm{Cu}^{+}}\end{array} $$
Step-by-Step Solution
Verified Answer
Half-reaction a is oxidation; half-reaction b is reduction.
1Step 1: Analyze Half-Reaction a
Let's examine the half-reaction \( \mathrm{Al} \rightarrow \mathrm{Al}^{3+} + 3\mathrm{e}^{-} \). Here, an aluminum atom (Al) loses three electrons to become \( \mathrm{Al}^{3+} \). Since oxidation involves the loss of electrons, this half-reaction represents oxidation.
2Step 2: Identify Type of Reaction for a
Since the aluminum atom is losing electrons, half-reaction a is classified as an oxidation process.
3Step 1: Analyze Half-Reaction b
Consider the half-reaction \( \mathrm{Cu}^{2+} + \mathrm{e}^{-} \rightarrow \mathrm{Cu}^{+} \). In this reaction, copper ion \( \mathrm{Cu}^{2+} \) is gaining an electron to form \( \mathrm{Cu}^{+} \). Gaining electrons corresponds to reduction.
4Step 2: Identify Type of Reaction for b
Since the copper ion is gaining electrons, half-reaction b is classified as a reduction process.
Key Concepts
Understanding OxidationReduction ExplainedHalf-Reaction Analysis
Understanding Oxidation
Oxidation is a key concept in redox reactions and is defined as the process where an atom, ion, or molecule loses electrons. This loss of electrons results in an increase in oxidation state. In redox reactions, oxidation is always accompanied by reduction. It's vital to recognize oxidation in half-reactions. Consider the exercise's example:
- The half-reaction \( \mathrm{Al} \rightarrow \mathrm{Al}^{3+} + 3\mathrm{e}^{-} \) involves aluminum losing three electrons, transforming into \( \mathrm{Al}^{3+} \).
- Since there's a loss of electrons, aluminum's oxidation state increases from 0 to +3.
Reduction Explained
Reduction is the opposite of oxidation in redox reactions. It describes the process where an atom, ion, or molecule gains electrons. This gain in electrons leads to a decrease in oxidation state.Referring to the given exercise:
- The half-reaction \( \mathrm{Cu}^{2+} + \mathrm{e}^{-} \rightarrow \mathrm{Cu}^{+} \) demonstrates copper gaining an electron.
- The oxidation state of copper decreases from +2 to +1, indicating reduction.
Half-Reaction Analysis
Half-reaction analysis is a method used to determine the type of reaction—either oxidation or reduction—involved in a redox process.To analyze a half-reaction, follow these steps:
- Identify the species in the reaction that is losing or gaining electrons.
- Look at the change in oxidation states to determine if the species is undergoing oxidation or reduction.
Other exercises in this chapter
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