2.9 Predicting Acid–Base Reactions from pKa Values

3 min readmay 7, 2024

are fundamental in organic chemistry. They involve between molecules, with acids donating protons and bases accepting them. Understanding is crucial for predicting reaction outcomes and comparing acid-base strengths.

Calculations involving , pKa, and help chemists analyze acid-base equilibria and design . These concepts are essential for understanding reaction mechanisms, solubility, and many biological processes in organic chemistry.

Acid-Base Reactions and pKa Values

Predicting acid-base reactions

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  • Acids donate protons (H+) and bases accept protons (ammonia, amines)
    • : Acids are (HCl, acetic acid) and bases are (NaOH, pyridine)
  • pKa measures indicates how readily an acid donates protons
    • Lower pKa values indicate stronger acids dissociate more completely (sulfuric acid pKa -3, HI pKa -10)
    • Higher pKa values indicate weaker acids dissociate less completely (acetic acid pKa 4.76, phenol pKa 9.95)
  • Proton transfer occurs from the stronger acid to the stronger base (HCl + NaOH → H2O + NaCl)
    • The acid with the lower pKa donates a proton to the base with the higher pKa (formic acid pKa 3.75 protonates ammonia pKa 9.25)
  • Equilibrium favors the formation of the weaker acid and weaker base (acetic acid + sodium acetate ⇌ sodium acetate + acetic acid)
    • The reaction proceeds in the direction that results in the with the smaller Δ\DeltapKa (pyridine + benzoic acid → pyridinium benzoate)
    • This principle is an application of to acid-base reactions

Comparison of acid-base strengths

  • Relative acid strengths determined by comparing pKa values
    • Acids with lower pKa values are stronger than acids with higher pKa values (HBr pKa -9 > HF pKa 3.2)
  • Relative base strengths determined by comparing the pKa values of their conjugate acids
    • Bases with higher conjugate acid pKa values are stronger than bases with lower conjugate acid pKa values (NaOH pKa 15.7 > methylamine pKa 10.6)
  • The occurs when a strong acid reacts with a strong base in a solvent
    • The strongest acid and strongest base that can exist in that solvent will be formed (HCl + NaOH in water → H3O+ + Cl-)
  • Proton transfer reactions proceed to completion when the Δ\DeltapKa between the acid and the conjugate acid of the base is greater than 3 (HCl pKa -6.3 + NaOH pKa 15.7 → H2O + NaCl)

Calculation of Ka from pKa

  • The (Ka) measures acid strength indicates extent of dissociation
    • Higher Ka values indicate stronger acids dissociate more completely (HI Ka 1×10^10)
    • Lower Ka values indicate weaker acids dissociate less completely (acetic acid Ka 1.8×10^-5)
  • pKa is the negative logarithm of Ka
    • pKa=log10(Ka)pKa = -log_{10}(Ka) (acetic acid pKa = -log(1.8×10^-5) = 4.74)
  • Ka calculated from pKa using the equation:
    • Ka=10pKaKa = 10^{-pKa} (For benzoic acid pKa 4.19, Ka = 10^-4.19 = 6.5×10^-5)
  • For an acid-base reaction, the (Keq) calculated from the Δ\DeltapKa
    • Keq=10ΔpKaKeq = 10^{\Delta pKa}, where ΔpKa=pKa(acid)pKa(conjugateacidofbase)\Delta pKa = pKa(acid) - pKa(conjugate acid of base)
    • (For acetic acid pKa 4.76 and ammonia pKa 9.25, Keq = 10^(4.76-9.25) = 3.1×10^-5)

pH, Buffers, and the Henderson-Hasselbalch Equation

  • pH is a measure of the acidity or basicity of a solution
  • Buffer solutions resist changes in pH when small amounts of acid or base are added
    • Composed of a weak acid and its conjugate base or a weak base and its conjugate acid
  • The relates pH, pKa, and the concentrations of acid and conjugate base in a buffer solution
    • pH = pKa + log([A-]/[HA])
    • Used to calculate the pH of buffer solutions or to determine the ratio of acid to conjugate base needed for a specific pH

Key Terms to Review (19)

$ abla$pKa: $ abla$pKa, or the difference in pKa values, is a critical concept in understanding acid-base reactions and predicting their behavior. It represents the relative strength between an acid and its conjugate base, which is a key factor in determining the direction and extent of proton transfer reactions.
Acid Dissociation Constant: The acid dissociation constant, denoted as Ka, is a quantitative measure of the strength of an acid in a solution. It represents the equilibrium constant for the dissociation of an acid in water, providing insight into the extent of ionization and the relative acidity of different acids.
Acid Strength: Acid strength refers to the ability of an acid to donate protons (H+) in an aqueous solution. It is a measure of the extent to which an acid dissociates and releases hydrogen ions, which determines the acidity of the solution. Acid strength is a crucial factor in understanding acid-base reactions and predicting their outcomes.
Acid-Base Reactions: Acid-base reactions are chemical processes in which an acid and a base interact to form a new product. These reactions involve the transfer of protons (H+ ions) from the acid to the base, resulting in the formation of a salt and water.
Branched-chain alkane: A branched-chain alkane is an alkane that has one or more alkyl groups attached to its continuous chain of carbon atoms, creating a non-linear structure. These compounds are a type of hydrocarbon where the carbon atoms are connected by single bonds in a branching pattern, differing from straight-chain alkanes.
Brønsted-Lowry Definition: The Brønsted-Lowry definition is a theory that describes acids and bases in terms of proton donors and acceptors. It provides a more comprehensive understanding of acid-base reactions compared to the earlier Arrhenius definition, which was limited to aqueous solutions.
Buffer Solutions: Buffer solutions are aqueous solutions that resist changes in pH upon the addition of small amounts of an acid or base. They maintain a relatively stable pH and are essential in various chemical and biological applications, including organic chemistry and biochemistry.
Conjugate Acid-Base Pair: A conjugate acid-base pair refers to two chemical species, an acid and its conjugate base or a base and its conjugate acid, that differ by a single proton (H+). The relationship between the members of a conjugate pair is crucial in understanding acid-base reactions and predicting their outcomes.
Equilibrium Constant: The equilibrium constant is a quantitative measure of the extent to which a reversible chemical reaction proceeds to completion. It represents the ratio of the concentrations of the products to the reactants at equilibrium, and provides insight into the position and direction of a reaction at equilibrium.
Henderson-Hasselbalch Equation: The Henderson-Hasselbalch equation is a mathematical expression that relates the pH of a solution to the equilibrium concentrations of the conjugate acid-base pair. It is a fundamental tool used to predict and understand acid-base reactions in organic chemistry, biological systems, and various other applications.
Ka: Ka, or the acid dissociation constant, is a quantitative measure of the strength of an acid in a solution. It represents the equilibrium constant for the dissociation of an acid into its conjugate base and a hydrogen ion. The value of Ka is used to determine the pH of an acid solution and to predict the extent of acid-base reactions.
Le Chatelier's Principle: Le Chatelier's principle states that when a system at equilibrium is subjected to a change in one of the factors (concentration, temperature, or pressure) determining the equilibrium, the system will shift to counteract the change and establish a new equilibrium. This principle helps predict the direction of a system's response to disturbances.
Leveling Effect: The leveling effect refers to the phenomenon where strong acids and bases in aqueous solutions are effectively neutralized and behave as if they were weak acids and bases. This concept is crucial in understanding acid-base strength and predicting acid-base reactions.
PH: pH, or the potential of hydrogen, is a measure of the acidity or basicity of a solution. It is a scale that ranges from 0 to 14, with 7 being neutral, values less than 7 being acidic, and values greater than 7 being basic or alkaline. The pH of a solution is directly related to the concentration of hydrogen ions (H+) present, and it is a critical factor in many chemical and biological processes.
Photon: A photon is a quantum of electromagnetic energy, essentially a particle of light that carries energy but has no mass. In the context of spectroscopy, photons interact with molecules to cause transitions between energy levels, which is fundamental to understanding molecular structure through techniques like infrared spectroscopy.
PKa Values: pKa values are a measure of the strength of an acid or base, representing the negative logarithm of the acid dissociation constant (Ka). pKa values are used to predict the extent of acid-base reactions and the behavior of organic compounds in various chemical environments.
Proton Acceptors: Proton acceptors, also known as bases, are chemical species that have the ability to receive or accept a proton (H+) in an acid-base reaction. They are essential in understanding the concept of predicting acid-base reactions from pKa values.
Proton Donors: Proton donors are chemical species that are able to release or transfer a proton (H+) to another substance, thereby acting as an acid in an acid-base reaction. They are a crucial concept in understanding acid-base chemistry and the prediction of acid-base reactions.
Proton Transfer: Proton transfer is a fundamental chemical process in which a proton (H+) is donated from one species to another. This process is central to understanding acid-base reactions, reaction mechanisms, and the behavior of biological systems involving acids and bases.
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