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Ch. 12 - Substitution and Elimination: Reactions of Haloalkanes
Mullins - Organic Chemistry: A Learner Centered Approach 1st Edition
Mullins1st EditionOrganic Chemistry: A Learner Centered ApproachISBN: 9780137566471Not the one you use?Change textbook
Chapter 11, Problem 72

Using pKₐ values, calculate Keq for the following acid–base reaction.
Chemical equation showing the equilibrium of an acid-base reaction with hydroxide and hydrobromic acid.

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1
Identify the acids and bases on both sides of the reaction. Determine which species is the acid and which is the conjugate acid, as well as the base and conjugate base.
Look up the pKₐ values for the acid on the reactant side and the conjugate acid on the product side. These values are essential for calculating the equilibrium constant (Kₑq).
Recall the relationship between pKₐ and Kₑq: \( \text{Kₑq} = 10^{\Delta pKₐ} \), where \( \Delta pKₐ = \text{pKₐ (acid on reactant side)} - \text{pKₐ (conjugate acid on product side)} \).
Calculate \( \Delta pKₐ \) by subtracting the pKₐ of the conjugate acid on the product side from the pKₐ of the acid on the reactant side.
Use the formula \( \text{Kₑq} = 10^{\Delta pKₐ} \) to determine the equilibrium constant. This will indicate the favorability of the reaction towards the products or reactants.

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Key Concepts

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

pKₐ and Kₑq Relationship

The pKₐ value is a measure of the strength of an acid in solution, defined as the negative logarithm of its acid dissociation constant (Kₐ). The equilibrium constant (Kₑq) for an acid-base reaction can be calculated using the pKₐ values of the acids and bases involved. Specifically, Kₑq can be determined by the formula Kₑq = 10^(pKₐ(reactants) - pKₐ(products)), which reflects the relative strengths of the acids and bases in the reaction.
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Acid-Base Equilibrium

Acid-base equilibrium refers to the state in which the rates of the forward and reverse reactions of an acid-base reaction are equal, resulting in constant concentrations of reactants and products. Understanding this concept is crucial for calculating Kₑq, as it allows one to analyze how the strengths of the acids and bases influence the position of equilibrium. The equilibrium constant provides insight into the favorability of the reaction under given conditions.
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Determining Acid/Base Equilibrium

Dissociation of Acids and Bases

The dissociation of acids and bases in water is a fundamental concept in organic chemistry, where acids release protons (H⁺) and bases accept them. This process is quantified by Kₐ for acids and K_b for bases. Knowing the dissociation constants helps in predicting the behavior of acids and bases in reactions, and is essential for calculating pKₐ values, which are pivotal in determining the equilibrium constant Kₑq for acid-base reactions.
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The Lewis definition of acids and bases.