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Ch. 2 - Acids and Bases: Central to Understanding Organic Chemistry
Bruice - Organic Chemistry 8th Edition
Bruice8th EditionOrganic ChemistryISBN: 9780135213711Not the one you use?Change textbook
Chapter 3, Problem 68b(1)

Which of the four reactions has the most favorable equilibrium constant?
1. Chemical reactions showing equilibrium between reactants and products involving alcohol and ammonia.

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1
Step 1: Understand the problem. The problem involves comparing the equilibrium constants of two reactions: (1) CH3CH2OH + NH3 ⇌ CH3CH2O⁻ + NH4⁺ and (2) CH3OH + NH3 ⇌ CH3O⁻ + NH4⁺. The equilibrium constant depends on the relative acidities (pKa values) of the alcohols (CH3CH2OH and CH3OH) and the base NH3.
Step 2: Recall the relationship between pKa and equilibrium. The equilibrium constant (Keq) for an acid-base reaction is related to the difference in pKa values of the acid and conjugate acid. Specifically, Keq increases as the pKa of the acid decreases (stronger acid) or as the pKa of the conjugate acid increases (weaker conjugate acid).
Step 3: Compare the acidities of CH3CH2OH and CH3OH. Ethanol (CH3CH2OH) and methanol (CH3OH) are both alcohols, but methanol is slightly more acidic than ethanol. This means CH3OH has a lower pKa than CH3CH2OH, making it a stronger acid.
Step 4: Analyze the equilibrium constants. Since CH3OH is a stronger acid than CH3CH2OH, the reaction involving CH3OH (CH3OH + NH3 ⇌ CH3O⁻ + NH4⁺) will have a more favorable equilibrium constant compared to the reaction involving CH3CH2OH.
Step 5: Conclude the comparison. The reaction CH3OH + NH3 ⇌ CH3O⁻ + NH4⁺ has the most favorable equilibrium constant because methanol (CH3OH) is a stronger acid than ethanol (CH3CH2OH), leading to a greater tendency to donate a proton to NH3.

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Key Concepts

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

Equilibrium Constant (K)

The equilibrium constant (K) quantifies the ratio of the concentrations of products to reactants at equilibrium for a reversible reaction. A larger K value indicates a greater tendency for the reaction to favor products, while a smaller K suggests a preference for reactants. Understanding K is crucial for predicting the direction and extent of a reaction's progress.
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Acid-Base Reactions

Acid-base reactions involve the transfer of protons (H+) between species. In the context of the given reactions, ethanol (CH3CH2OH) and methanol (CH3OH) act as weak acids, while ammonia (NH3) serves as a base. The strength of the acids and bases involved influences the equilibrium position and the resulting equilibrium constant.
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Le Chatelier's Principle

Le Chatelier's Principle states that if a system at equilibrium is disturbed, the system will adjust to counteract the disturbance and restore a new equilibrium. This principle helps predict how changes in concentration, pressure, or temperature will affect the position of equilibrium, which is essential for analyzing the favorability of the reactions in question.
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