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

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: (d) Removing Cl-; also account for the change using the reaction quotient Qc

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Identify the initial equilibrium condition for the reaction: Ag^+(aq) + Cl^-(aq) ⇌ AgCl(s).
Understand that removing Cl^- from the system will disturb the equilibrium.
Apply Le Châtelier's principle: The system will shift to counteract the disturbance, which means it will shift to the right to produce more Cl^- ions.
Recognize that as the equilibrium shifts to the right, more AgCl(s) will form, increasing the amount of solid silver chloride.
Use the reaction quotient Q_c to confirm the shift: Q_c = [Ag^+][Cl^-]. Removing Cl^- decreases Q_c, making it less than K_c, thus the reaction shifts right to restore equilibrium.

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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 system will adjust to counteract the change and restore a new equilibrium. This can involve changes in concentration, pressure, or temperature. In the context of the given equilibrium, removing Cl<sup>-</sup> ions will shift the equilibrium to the left, favoring the formation of more reactants to compensate for the loss.
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Equilibrium Constant (K)

The equilibrium constant (K) is a numerical value that expresses 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>(aq) + Cl<sup>-</sup>(aq) ⇌ AgCl(s), K is defined in terms of the concentrations of Ag<sup>+</sup> and Cl<sup>-</sup>. Changes in concentration of reactants or products will affect the position of equilibrium but not the value of K itself.
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Reaction Quotient (Q<sub>c</sub>)

The reaction quotient (Q<sub>c</sub>) is calculated using the same formula as the equilibrium constant but with the current concentrations of the reactants and products, regardless of whether the system is at equilibrium. By comparing Q<sub>c</sub> to K, one can determine the direction in which the reaction will shift to reach equilibrium. If Q<sub>c</sub> is less than K, the reaction will shift to the right, while if Q<sub>c</sub> is greater than K, it will shift to the left.
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Reaction Quotient Q