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Ch.15 - Chemical Equilibrium
Chapter 15, Problem 125

Consider the endothermic reaction Fe³⁺(aq) + Cl⁻(aq) ⇌ FeCl₂⁺(aq). Use Le Châtelier’s principle to predict how the equilibrium concentration of the complex ion FeCl₂⁺ will change when: (a) Fe(NO₃)₃ is added. (b) Cl⁻ is precipitated as AgCl by addition of AgNO₃. (d) A catalyst is added.

Verified step by step guidance
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Step 1: Understand the reaction and Le Châtelier's principle. The reaction Fe³⁺(aq) + Cl⁻(aq) ⇌ FeCl₂⁺(aq) is endothermic, meaning it absorbs heat. Le Châtelier's principle states that if a system at equilibrium is disturbed, it will shift in a direction that counteracts the disturbance.
Step 2: Analyze the effect of adding Fe(NO₃)₃. Adding Fe(NO₃)₃ increases the concentration of Fe³⁺ ions in the solution. According to Le Châtelier's principle, the equilibrium will shift to the right to reduce the disturbance by forming more FeCl₂⁺, thus increasing its concentration.
Step 3: Analyze the effect of precipitating Cl⁻ as AgCl. Adding AgNO₃ causes Cl⁻ ions to precipitate as AgCl, reducing the concentration of Cl⁻ ions. The equilibrium will shift to the left to increase the concentration of Cl⁻ ions, thus decreasing the concentration of FeCl₂⁺.
Step 4: Consider the effect of adding a catalyst. A catalyst speeds up the rate at which equilibrium is reached but does not affect the position of the equilibrium. Therefore, the concentration of FeCl₂⁺ will remain unchanged.
Step 5: Summarize the effects. Adding Fe(NO₃)₃ increases FeCl₂⁺ concentration, precipitating Cl⁻ decreases FeCl₂⁺ concentration, and adding a catalyst has no effect on FeCl₂⁺ concentration.

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. Understanding this principle is crucial for predicting how changes in concentration, pressure, or temperature affect the equilibrium state.
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Endothermic Reactions

Endothermic reactions absorb heat from their surroundings, resulting in a decrease in temperature of the environment. In the context of the given reaction, the addition of heat would favor the formation of products, shifting the equilibrium to the right. Recognizing whether a reaction is endothermic or exothermic helps in predicting how temperature changes will influence the equilibrium position.
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Equilibrium Concentration

Equilibrium concentration refers to the concentrations of reactants and products in a chemical reaction at equilibrium, where the rate of the forward reaction equals the rate of the reverse reaction. Changes in concentration due to the addition of reactants or the removal of products can shift the equilibrium position, affecting these concentrations. Understanding how to manipulate these concentrations is essential for predicting the outcome of the reaction under various conditions.
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