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Ch.19 - Electrochemistry
Chapter 19, Problem 49c

Balance the following half-reactions. (c) (acidic) NO3-(aq) → NO2(aq)

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Identify the elements that need balancing in the half-reaction: NO_3^- \rightarrow NO_2.
Balance the nitrogen atoms. In this case, there is one nitrogen atom on each side, so they are already balanced.
Balance the oxygen atoms by adding H_2O molecules. There are 3 oxygen atoms in NO_3^- and 2 in NO_2, so add 1 H_2O to the right side.
Balance the hydrogen atoms by adding H^+ ions. Since you added 1 H_2O, add 2 H^+ to the left side to balance the 2 hydrogen atoms.
Balance the charge by adding electrons. The left side has a charge of -1 (from NO_3^-) and the right side has a charge of +1 (from 2 H^+), so add 2 electrons to the left side to balance the charges.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

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 steps may be required to account for protons (H+) and hydroxide ions (OH-).
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Oxidation States

Oxidation states (or numbers) are a way to keep track of electrons in chemical reactions, particularly in redox processes. They indicate the degree of oxidation of an atom in a compound, helping to identify which species are oxidized and reduced. Understanding oxidation states is crucial for balancing half-reactions, as it allows for the determination of electron transfer during the reaction.
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Acidic Medium

An acidic medium refers to a solution where the concentration of hydrogen ions (H+) is higher than that of hydroxide ions (OH-). In balancing half-reactions in acidic conditions, H+ ions and water (H2O) are often added to balance the equation. Recognizing the environment of the reaction is essential, as it influences the species involved and the balancing process.
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