Balance the following half-reactions. (a) (acidic) VO²⁺(aq) → V³⁺(aq)

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Identify the oxidation states of vanadium in VO^{2+} and V^{3+}.

Determine the change in oxidation state for vanadium from VO^{2+} to V^{3+}.

Balance the change in oxidation state by adding the appropriate number of electrons to the more positive side.

Balance the oxygen atoms by adding water molecules to the side that needs oxygen.

Balance the hydrogen atoms by adding H^+ ions to the side that needs hydrogen.

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Half-Reaction Method

The half-reaction method is a technique used to balance redox reactions by separating the oxidation and reduction processes. Each half-reaction is balanced for mass and charge, allowing for a clearer understanding of electron transfer. This method is particularly useful in acidic or basic solutions, where additional ions like H+ or OH- may be added to achieve balance.

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01:49

Method 1 of Radioactive Half-Life

Oxidation States

Oxidation states (or numbers) indicate the degree of oxidation of an atom in a compound. They help identify which species are oxidized and reduced in a reaction. In the given half-reaction, understanding the oxidation states of vanadium in VO2+ and V3+ is crucial for determining the changes in electron count during the reaction.

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02:42

Oxidation Numbers

Acidic Medium

An acidic medium refers to a solution where the concentration of hydrogen ions (H+) is higher than in pure water. In balancing half-reactions in acidic conditions, H+ ions and water molecules are often added to maintain charge and mass balance. Recognizing the role of the acidic environment is essential for correctly balancing the given half-reaction.

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