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Acid-Base Equilibrium: Foundations, Theories, and Calculations

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Acid-Base Equilibrium

Acids and Bases – A Review

Acids and bases are fundamental chemical species with distinct properties and definitions. Their behavior in aqueous solutions is central to many chemical processes, including biological and industrial systems.

  • Acids: Substances that can donate protons (H+) or accept electron pairs.

  • Bases: Substances that can accept protons or donate electron pairs.

  • Water is amphoteric, meaning it can act as both an acid and a base depending on the reaction context.

Cartoon showing the dilemma of choosing between acid, base, and water

Historical Development of Acid-Base Theories

The understanding of acids and bases has evolved through several key theories:

  • Boyle's Observations: Acids have a sour taste, are corrosive, and turn litmus red; bases (alkalies) are slippery and turn litmus blue.

  • Lemery's Model: Proposed acids have sharp, prickly particles, while bases have soft, round particles.

Historical portrait of BoyleLemery's acid-base particle model

Modern Acid-Base Theories

  • Arrhenius Theory: Acids produce H+ in water; bases produce OH-.

  • Brønsted-Lowry Theory: Acids are proton donors; bases are proton acceptors. This theory expands the definition to include more substances and reactions.

  • Lewis Theory: Acids are electron pair acceptors; bases are electron pair donors. This is the broadest definition and includes non-protic systems.

Venn diagram of Arrhenius, Brønsted-Lowry, and Lewis acid-base definitions

Conjugate Acid-Base Pairs

Every acid-base reaction involves the transfer of a proton from an acid to a base, forming conjugate acid-base pairs:

  • Conjugate Acid: The species formed when a base gains a proton.

  • Conjugate Base: The species formed when an acid loses a proton.

  • Example: NH3 + H2O ⇌ NH4+ + OH-

Portraits of Brønsted and Lowry

Strength of Acids and Bases

The strength of an acid or base is determined by its degree of ionization in water:

  • Strong acids/bases: Completely ionize in water (e.g., HCl, NaOH).

  • Weak acids/bases: Partially ionize in water (e.g., CH3COOH, NH3).

  • The conjugate of a strong acid/base is extremely weak and does not react with water.

Table of strong and weak acids and bases

Acid and Base Equilibrium Constants

The extent of ionization for weak acids and bases is quantified by equilibrium constants:

  • Acid dissociation constant (Ka):

  • Base hydrolysis constant (Kb):

  • Relationship: at 25°C

  • pKa: ; pKb:

The pH and pOH Scales

The pH scale is a logarithmic measure of hydronium ion concentration:

  • (at 25°C)

pH scale with common substances

Calculating pH of Strong and Weak Acids/Bases

  • Strong acids/bases: [H3O+] or [OH-] equals the initial concentration.

  • Weak acids/bases: Use an ICE table and the equilibrium constant to solve for [H3O+] or [OH-].

  • Percent ionization:

  • Small x approximation: Valid if (or 5%).

Strong vs. weak acid dissociation diagramsStrong vs. weak acid dissociation diagramsGraph of percent dissociation vs. acid concentration

pH of Salt Solutions

The pH of a salt solution depends on the acid-base properties of the ions formed upon dissolution:

  • Salts of strong acid and strong base (e.g., NaCl): Neutral solution (pH = 7).

  • Salts of weak acid and strong base (e.g., NaF): Basic solution (pH > 7).

  • Salts of strong acid and weak base (e.g., NH4Cl): Acidic solution (pH < 7).

Structural Factors Affecting Acid and Base Strength

  • Binary acids: Acid strength increases with greater electronegativity (across a period) and larger atomic radius (down a group).

  • Oxyacids: Acid strength increases with more oxygen atoms (resonance stabilization) and higher electronegativity of the central atom (inductive effect).

  • Resonance: More resonance forms in the conjugate base stabilize the negative charge, increasing acid strength.

Binary acid strength trendBinary acid strength trend

Polyprotic Acids and Bases

Polyprotic acids and bases can donate or accept more than one proton. Each ionization step has its own Ka or Kb, with the first ionization being the strongest.

  • Example: Carbonic acid (H2CO3) is diprotic, with two dissociation steps.

Polyprotic acid dissociation diagram

Summary Table: Strong and Weak Acids and Bases

Strong Acids

Weak Acids

Strong Bases

Weak Bases

HCl, HBr, HI, HNO3, HClO4, HClO3, H2SO4

HF, H2S, H2CO3, CH3COOH, HNO2, H3PO4

NaOH, KOH, Ca(OH)2, Sr(OH)2, Ba(OH)2, NaNH2

NH3, CH3NH2, HCO3-, F-

Key Equations

Additional info: This guide covers the foundational concepts, calculations, and structural factors for acid-base equilibrium, suitable for first-year college chemistry students.

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