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CHEM 131 Chapter 17: Acid-Base Equilibria: Properties, Definitions, Calculations, and Applications

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Ch. 17: Acid-Base Equilibria

General Properties of Acids and Bases

Acids and bases are two fundamental classes of compounds in chemistry, each with distinct properties and behaviors in aqueous solutions.

  • Acids:

    • Sour taste

    • Ability to dissolve many metals

    • Change blue litmus paper to red

    • Neutralize bases

    • Examples: Acetic acid (vinegar), hydrochloric acid (stomach acid)

  • Bases:

    • Bitter taste

    • Slippery feel

    • Change red litmus paper to blue

    • Neutralize acids

    • Examples: Sodium hydroxide (NaOH), ammonia (NH3)

Antacid tablets as a real-world example of acid-base neutralizationStomach pH comparison among animals and humans

Definitions of Acids and Bases

There are three main definitions of acids and bases, each with increasing generality:

  • Arrhenius Definition:

    • Acid: Produces H3O+ (or H+) in water

    • Base: Produces OH- in water

  • Brønsted–Lowry Definition:

    • Acid: Proton (H+) donor

    • Base: Proton (H+) acceptor

    • Conjugate acid-base pairs: Related by gain/loss of a proton

  • Lewis Definition:

    • Acid: Electron pair acceptor

    • Base: Electron pair donor

Structure and Acid Strength

The strength of an acid depends on its molecular structure, including bond polarity and bond strength.

  • Binary Acids (H–X):

    • Acid strength increases with bond polarity (more polarized H–X bond = stronger acid)

    • Acid strength increases as bond strength decreases (weaker H–X bond = stronger acid)

    • Trends: Across a period (left to right) and down a group (top to bottom) in the periodic table

  • Oxyacids (H–O–Y):

    • Acid strength increases with the electronegativity of the central atom (Y)

    • More oxygen atoms attached to Y increase acid strength

    • Higher oxidation number of Y = stronger acid

Trends in binary acid strength across the periodic tableTable comparing acid strength of oxyacids

Carboxylic Acids and Organic Acids

Carboxylic acids are a common class of organic acids containing the –COOH group. Only the hydrogen in the carboxyl group is acidic.

  • Examples: Acetic acid (HC2H3O2), citric acid, malic acid

Structure of acetic acidCitric acid and malic acid in fruits

Structure of Organic Bases: Amines

Amines are organic weak bases containing a nitrogen atom with a lone pair. Their base strength depends on the ability to accept a proton (H+).

  • Electron-donating groups increase base strength

  • Electron-withdrawing groups decrease base strength

  • Examples: Ammonia (NH3), methylamine (CH3NH2), pyridine

Structures of ammonia, methylamine, and pyridine

Strong vs. Weak Acids and Bases

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

  • Strong acids/bases: Completely or nearly completely ionize in water (strong electrolytes)

  • Weak acids/bases: Partially ionize in water (weak electrolytes); establish equilibrium

Ka expression for acid dissociationAcid dissociation equilibrium equationStrong acid dissociation in waterWeak acid dissociation in waterStrong base dissociation in water

Acid and Base Ionization Constants (Ka and Kb)

The strength of a weak acid or base is quantified by its ionization constant.

  • Acid ionization constant (Ka):

  • Base ionization constant (Kb):

  • Larger Ka or Kb = stronger acid or base

Autoionization of Water and the pH Scale

Water can act as both an acid and a base (amphoteric), undergoing autoionization:

  • Ion product constant for water: at 25°C

  • pH = –log[H3O+]; pOH = –log[OH-]; pH + pOH = 14

The pH scale with common substancesThe pH scale with corresponding [H+] valuesThe pOH scale

pKa and pKb

The strength of acids and bases is often expressed using pKa and pKb:

  • pKa = –log(Ka); pKb = –log(Kb)

  • Smaller pKa or pKb = stronger acid or base

  • Relationship:

Calculating pH and Ion Concentrations

For strong acids and bases, pH and ion concentrations can be calculated directly from the initial concentration. For weak acids and bases, equilibrium calculations (ICE tables) are required.

  • For monoprotic strong acids: [H+] = [acid]

  • For strong bases: [OH-] = [base] × number of OH- per formula unit

  • For weak acids/bases: Use ICE tables and Ka or Kb

ICE table for HCN dissociationICE table for HCN dissociation (change row)ICE table for HCN dissociation (equilibrium row)Ka calculation for HCNPercent ionization calculationICE table for HA dissociationICE table for HA dissociation (change row)Ka calculation for HA

Polyprotic Acids

Polyprotic acids can donate more than one proton, with each ionization step having its own Ka value (Ka1 > Ka2 > Ka3). Usually, only the first ionization significantly affects pH, except in cases like H2SO4 where the second ionization is also significant.

Lewis Acid–Base Theory

The Lewis definition broadens the concept of acids and bases to include electron pair transfer. Lewis acids accept electron pairs, while Lewis bases donate them. This theory encompasses all Arrhenius and Brønsted–Lowry acid–base reactions.

Acid–Base Titrations

Titration is a laboratory technique used to determine the concentration of an unknown acid or base by reacting it with a standard solution. The endpoint is detected by an indicator, and the equivalence point is when stoichiometric amounts of acid and base have reacted.

Naming Acids

  • Binary acids: Use the prefix "hydro-", the root of the nonmetal, the suffix "-ic", and the word "acid" (e.g., HCl = hydrochloric acid).

  • Oxyacids: If the polyatomic ion ends in "-ate", change to "-ic acid"; if "-ite", change to "-ous acid" (e.g., HNO3 = nitric acid, HNO2 = nitrous acid).

Naming binary acidsNaming oxyacids

Summary Table: Acid Strength and Structure

Acid

Structure

Acid Strength

HClO4

O | O=Cl=O | O–H

Strong

HClO3

O | O=Cl=O | H–O

Weak

HClO

H–O–Cl

Very Weak

Table comparing acid strength of oxyacids

Additional info: This guide covers the essential concepts of acid-base equilibria, including properties, definitions, calculations, and laboratory applications, as required for a General Chemistry college course.

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