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Ch.15 - Chemical Equilibrium
Chapter 15, Problem 124

Consider the exothermic reaction CoCl 2-1aq2 + 6 H O1l2 ∆ Co1H O2 2 + 1aq2 + 4 Cl-1aq2 which interconverts the blue CoCl 2- ion and the pink Co 2 +CoCl 2- increase or decrease when the following changes occur?(c) The solution is diluted with water.

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Identify the reaction given: \[ \text{CoCl}_4^{2-} (\text{aq}) + 6 \text{H}_2\text{O} (\text{l}) \rightleftharpoons \text{Co(H}_2\text{O})_6^{2+} (\text{aq}) + 4 \text{Cl}^- (\text{aq}) \]
Recognize that this is an exothermic reaction, meaning it releases heat.
Understand that diluting the solution with water affects the concentration of the ions involved in the equilibrium.
Apply Le Chatelier's Principle, which states that if a dynamic equilibrium is disturbed by changing the conditions, the position of equilibrium shifts to counteract the change.
Determine that adding water decreases the concentration of all aqueous species, and the equilibrium will shift to the side with more particles to counteract the dilution, affecting the color change.

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Key Concepts

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

Le Chatelier's Principle

Le Chatelier's Principle states that if a dynamic equilibrium is disturbed by changing the conditions, the position of equilibrium shifts to counteract the change. In the context of the given reaction, diluting the solution with water alters the concentration of the reactants and products, prompting the system to adjust in a way that minimizes the effect of dilution.
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Exothermic Reactions

Exothermic reactions are chemical processes that release heat to the surroundings. In the provided reaction, the formation of Co(H2O)6^2+ and Cl^- ions from CoCl2 and water is exothermic, meaning that the reaction releases energy. Understanding this helps predict how temperature changes can affect the equilibrium position.
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Color Change in Coordination Complexes

The color change observed in coordination complexes, such as the transition from blue CoCl2^- to pink Co(H2O)6^2+, is due to the different ligands surrounding the metal ion. The nature of the ligands and their arrangement affects the d-orbital splitting, which in turn influences the absorption of light and the perceived color. This concept is crucial for interpreting the effects of dilution on the equilibrium state.
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Related Practice
Open Question
Will the concentration of NO2 increase, decrease, or remain the same when the equilibrium NO2Cl(g) + NO(g) ⇌ NOCl(g) + NO2(g) is disturbed by the following changes? (a) Adding NOCl (b) Adding NO (c) Removing NO (d) Adding NO2Cl; also account for the change using the reaction quotient Qc
Textbook Question
For the water–gas shift reaction CO1g2 + H2O1g2 ∆ CO21g2 + H21g2, ΔH° = - 41.2 kJ does the amount of H2 in an equilibrium mixture increase or decrease when the temperature is increased? How does Kc change when the temperature is decreased? Justify your answers using Le Châtelier's principle.
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Open Question
The value of ΔH° for the reaction 3 O2(g) ⇌ 2 O3(g) is +285 kJ. Does the equilibrium constant for this reaction increase or decrease when the temperature increases? Justify your answer using Le Châtelier’s principle.
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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.
Open Question
Methanol (CH3OH) is manufactured by the reaction of carbon monoxide with hydrogen in the presence of a Cu/ZnO/Al2O3 catalyst: CO(g) + 2H2(g) ⇌ CH3OH(g) ΔH° = -91 kJ. Does the amount of methanol increase, decrease, or remain the same when an equilibrium mixture of reactants and products is subjected to the following changes? (a) The temperature is increased. (b) CO is added. (c) Helium is added. (d) The catalyst is removed.
Open Question
In the gas phase at 400 °C, isopropyl alcohol (rubbing alcohol) decomposes to acetone, an important industrial solvent: \[ \text{Isopropyl alcohol: }(\text{CH}_3)_2\text{CHOH(g)} \rightleftharpoons (\text{CH}_3)_2\text{CO(g) + H}_2\text{(g)} \\ \Delta H^\circ = + 57.3 \text{ kJ} \] Does the amount of acetone increase, decrease, or remain the same when an equilibrium mixture of reactants and products is subjected to the following changes? (c) Argon is added. (d) H₂ is added. (e) A catalyst is added.