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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 16a(3,4)

For each of the acid–base reactions in [Section 2.3], compare the pKa values of the acids on either side of the equilibrium arrows to prove that the equilibrium lies in the direction indicated.
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Step 1: Identify the acids and bases on both sides of the equilibrium. In the first image, CH3NH2 acts as the acid (donating a proton), and H-O⁻ acts as the base (accepting a proton). In the second image, CH3NH2 acts as the base (accepting a proton), and H3O⁺ acts as the acid (donating a proton).
Step 2: Compare the pKa values of the acids on both sides of the equilibrium. For the first reaction, the pKa of CH3NH2 (acid) is approximately 36, and the pKa of H2O (conjugate acid of H-O⁻) is 15.7. For the second reaction, the pKa of H3O⁺ (acid) is -1.7, and the pKa of CH3NH3⁺ (conjugate acid of CH3NH2) is approximately 10.6.
Step 3: Recall that equilibrium favors the side with the weaker acid (higher pKa value). For the first reaction, the equilibrium lies toward the side with H2O (pKa 15.7) and CH3NH2 (pKa 36). For the second reaction, the equilibrium lies toward the side with CH3NH3⁺ (pKa 10.6) and H2O (pKa 15.7).
Step 4: Analyze the bond-breaking and bond-forming events. In the first image, the bond between CH3NH2 and H breaks, and a new bond forms between H and O⁻. In the second image, the bond between H3O⁺ and H breaks, and a new bond forms between CH3NH2 and H.
Step 5: Summarize the direction of equilibrium based on pKa values. For the first reaction, equilibrium lies to the right (formation of CH3NH2 and H2O). For the second reaction, equilibrium lies to the left (formation of CH3NH3⁺ and H2O).

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Key Concepts

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

Acid-Base Equilibrium

In acid-base chemistry, equilibrium refers to the state where the rates of the forward and reverse reactions are equal. The position of this equilibrium can be predicted by comparing the pK<sub>a</sub> values of the acids involved. The equilibrium will favor the formation of the weaker acid, which has a higher pK<sub>a</sub> value.
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pK<sub>a</sub> Values

The pK<sub>a</sub> value is a quantitative measure of the strength of an acid in solution. It is the negative logarithm of the acid dissociation constant (K<sub>a</sub>). Lower pK<sub>a</sub> values indicate stronger acids, as they dissociate more completely in solution. This concept is crucial for predicting the direction of acid-base reactions.
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Proton Transfer Mechanism

Acid-base reactions often involve the transfer of a proton (H<sup>+</sup>) from the acid to the base. This mechanism can be visualized through reaction arrows indicating the breaking and forming of bonds. Understanding this process is essential for analyzing the reaction and determining the equilibrium position based on the relative strengths of the acids and bases involved.
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