Chapter 20: Problem 2
Write balanced equations for the following half-reactions. Specify whether each is an oxidation or reduction. (a) \(\mathrm{H}_{2} \mathrm{O}_{2}(\mathrm{aq}) \rightarrow \mathrm{O}_{2}(\mathrm{g})\) (in acid) (b) \(\mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4}(\mathrm{aq}) \rightarrow \mathrm{CO}_{2}(\mathrm{g})\) (in acid) (c) \(\mathrm{NO}_{3}^{-}(\mathrm{aq}) \rightarrow \mathrm{NO}(\mathrm{g})\) (in acid) (d) \(\mathrm{MnO}_{4}^{-}(\mathrm{aq}) \rightarrow \mathrm{MnO}_{2}(\mathrm{s})\) (in base)
Short Answer
Step by step solution
Identify Oxidation States
Balance Oxygen Atoms with Water
Balance Hydrogen Atoms with Protons
Balance Charges with Electrons
Determine Oxidation or Reduction
Example Solutions: Part (a)
Example Solutions: Part (b)
Example Solutions: Part (c)
Example Solutions: Part (d)
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Oxidation States
- Oxygen typically has an oxidation state of -2.
- Hydrogen typically has an oxidation state of +1.
- Elements in their elemental form have an oxidation state of 0.
Electron Transfer
Let's illustrate with a simple point:
- Oxidation (OIL): Oxidation Is Loss of electrons.
- Reduction (RIG): Reduction Is Gain of electrons.
Chemical Balancing
- First, balance atoms other than O and H.
- Next, balance oxygen atoms by adding water molecules.
- Then, balance hydrogen atoms using protons (H鈦), appropriate for acidic solutions.
- Finally, balance the overall charge with electrons.
Acid-Base Reactions
The environment鈥攁cidic or basic鈥攁lters the intermediaries used to achieve chemical balance without affecting electron accounting.
Here's a quick breakdown:
- Acidic medium: Add H鈦 ions and water as needed to balance hydrogen and oxygen.
- Basic medium: Use OH鈦 ions and water to balance instead of H鈦.