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Ch.15 - Chemical Equilibrium
Chapter 15, Problem 118c

Consider the following equilibrium: Ag+ (aq) + Cl-(aq) → AgCl(s) Use Le Châtelier's principle to predict how the amount of solid silver chloride will change when the equilibrium is disturbed by: (c) Adding NO3, which reacts with Ag+ to form the complex ion Ag(NH3)2+

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Identify the initial equilibrium reaction: Ag^+ (aq) + Cl^- (aq) ⇌ AgCl(s).
Recognize that adding NO_3^- will not directly affect the equilibrium, but the formation of Ag(NH_3)_2^+ from Ag^+ and NH_3 will.
Understand that the formation of Ag(NH_3)_2^+ reduces the concentration of free Ag^+ ions in the solution.
Apply Le Châtelier's principle: the system will shift to counteract the change, meaning it will shift to the left to produce more Ag^+ ions.
Conclude that as the equilibrium shifts to the left, the amount of solid AgCl will decrease as it dissolves to release more Ag^+ ions.

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Key Concepts

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

Le Châtelier's Principle

Le Châtelier's Principle states that if a dynamic equilibrium is disturbed by changing the conditions, the position of equilibrium shifts to counteract the change. This means that if a reactant or product concentration is altered, the system will adjust to restore equilibrium, either by favoring the forward or reverse reaction.
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Equilibrium Constant

The equilibrium constant (K) quantifies the ratio of the concentrations of products to reactants at equilibrium for a given reaction at a specific temperature. For the reaction Ag<sup>+</sup> + Cl<sup>-</sup> ⇌ AgCl, the equilibrium constant expression is K = [AgCl]/([Ag<sup>+</sup>][Cl<sup>-</sup>]). Changes in concentration of reactants or products will affect the value of K and the position of equilibrium.
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Complex Ion Formation

Complex ion formation occurs when a metal ion binds with one or more ligands, resulting in a new species. In this case, the addition of NO<sub>3</sub> leads to the formation of the complex ion Ag(NH<sub>3</sub>)<sub>2</sub><sup>+</sup>, which decreases the concentration of free Ag<sup>+</sup> ions in solution. This shift in concentration affects the equilibrium position, potentially increasing the amount of solid AgCl formed.
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