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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(1,2)

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 in the given reactions. In the first image, CH3O−H acts as the acid, donating a proton to H−O−. In the second image, CH3O−H acts as the base, accepting a proton from H3O+.
Step 2: Compare the pKa values of the acids on both sides of the equilibrium. For the first reaction, the pKa of CH3O−H2 (protonated methanol) is −2.5, and the pKa of H2O is 15.7. For the second reaction, the pKa of H3O+ is −1.7, and the pKa of CH3O−H2 is −2.5.
Step 3: Recall that equilibrium favors the side with the weaker acid (higher pKa value). In the first reaction, the equilibrium lies toward the formation of H2O (pKa = 15.7) because it is a weaker acid compared to CH3O−H2 (pKa = −2.5). In the second reaction, the equilibrium lies toward the formation of CH3O−H2 (pKa = −2.5) because it is a weaker acid compared to H3O+ (pKa = −1.7).
Step 4: Analyze the bond-breaking and bond-forming events. In the first image, the bond between CH3O−H breaks, and the lone pair on H−O− forms a new bond with the proton. In the second image, the bond between H3O+ and one of its hydrogens breaks, and the lone pair on CH3O−H forms a new bond with the proton.
Step 5: Summarize the direction of equilibrium based on pKa values and the chemical interactions. The equilibrium in the first reaction favors the formation of H2O and CH3O−, while the equilibrium in the second reaction favors the formation of CH3O−H2 and H2O.

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Key Concepts

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

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>), indicating how readily an acid donates protons (H<sup>+</sup>). Lower pK<sub>a</sub> values correspond to stronger acids, as they dissociate more completely in water.
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Acid-Base Equilibrium

In acid-base reactions, equilibrium refers to the state where the rates of the forward and reverse reactions are equal. The position of 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 (higher pK<sub>a</sub>), as it is less likely to donate protons.
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Determining Acid/Base Equilibrium

Bond Formation and Breaking

During acid-base reactions, bonds between atoms are broken and formed. When an acid donates a proton, a bond between the hydrogen and the acid molecule breaks, while a new bond is formed between the proton and the base. Understanding this process is crucial for visualizing how equilibrium shifts based on the strength of the acids and bases involved.
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