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Acids and Bases: Definitions, Properties, and Calculations

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Chapter 16: Acids and Bases

Definitions of Acids and Bases

Acids and bases are fundamental chemical species with distinct definitions according to different theories:

  • Arrhenius Definition:

    • Acid: Produces H+ ions when dissolved in water.

    • Base: Produces OH- ions when dissolved in water.

  • Brønsted–Lowry Definition:

    • Acid: H+ donor.

    • Base: H+ acceptor.

  • Lewis Definition:

    • Acid: Electron-pair acceptor.

    • Base: Electron-pair donor.

Properties of Acids and Bases

Acids and bases exhibit characteristic physical and chemical properties:

  • Acids:

    • Sour taste

    • Ability to dissolve many metals

    • Neutralize bases

    • Turn blue litmus paper red

  • Bases:

    • Bitter taste

    • Slippery feel

    • Turn red litmus paper blue

    • Neutralize acids

Structures of Acids

Acids are classified based on their molecular structure:

  • Binary Acids: Acid hydrogens attached to a nonmetal atom (e.g., HCl, HF).

  • Oxyacids: Acid hydrogens attached to an oxygen atom (e.g., H2SO4, HNO3).

Structure of Hydrochloric acid (HCl) Structures of Sulfuric Acid (H2SO4) and Nitric Acid (HNO3)

Problems with Arrhenius Theory

The Arrhenius theory is limited because it cannot explain:

  • Basic solutions from substances without OH- (e.g., NH3).

  • Acidic solutions from substances without H+ (e.g., CO2).

  • Acid–base reactions outside aqueous solutions.

Brønsted–Lowry Acid–Base Theory

This theory defines acids and bases based on proton transfer:

  • Acid: H+ donor

  • Base: H+ acceptor (must have a lone pair of electrons)

  • All Arrhenius acids and bases are also Brønsted–Lowry acids and bases.

Example reaction:

  • HCl(aq) + H2O(l) → Cl-(aq) + H3O+(aq)

Conjugate Acid–Base Pairs

In Brønsted–Lowry reactions, each acid and base forms a conjugate pair:

  • A base accepts a proton and becomes a conjugate acid.

  • An acid donates a proton and becomes a conjugate base.

Conjugate acid–base pairs: NH3/NH4+ and H2O/OH- Reaction showing base, acid, conjugate acid, and conjugate base

Strong and Weak Acids and Bases

Acids and bases are classified by their degree of ionization:

  • Strong Acid: Ionizes completely in water; strong electrolyte.

  • Weak Acid: Ionizes only partially; weak electrolyte.

  • Strong Base: Forms OH- ions completely; strong electrolyte.

  • Weak Base: Forms OH- ions partially; weak electrolyte.

A strong acid: HCl ionizes completely in water A weak acid: HF only partially ionizes in water HF in water: partial ionization HF in water: partial ionization

Examples of Strong and Weak Acids

Table of strong acids Table of weak acids

Acid and Base Strength: Ionic Attraction

The strength of an acid or base depends on the equilibrium position of its reaction with water:

  • Strong acids have weak attraction between the base form and H+, leading to complete ionization.

  • Weak acids have strong attraction, resulting in partial ionization.

Ionic attraction and acid strength

Acid Ionization Constant (Ka)

The acid ionization constant, Ka, measures acid strength:

  • Larger Ka = stronger acid

  • Ka is defined as:

Ka equation Table of Ka values for weak acids

Acidic, Basic, and Neutral Solutions

All aqueous solutions contain both H3O+ and OH- ions:

  • Neutral: [H3O+] = [OH-] = 1.00 × 10-7 M

  • Acidic: [H3O+] > [OH-]

  • Basic: [OH-] > [H3O+]

Measuring Acidity: pH and pOH

The acidity or basicity of a solution is quantified by pH and pOH:

  • pH:

  • pOH:

  • Relationship:

  • pH < 7: acidic; pH > 7: basic; pH = 7: neutral

The pH scale The pOH scale

Example Calculations

pH calculation from [H3O+] pH calculation from [OH-] Calculating [H3O+] from pH

pKa and pKb

Acid and base strength can also be expressed as pKa and pKb:

  • Smaller pKa or pKb indicates a stronger acid or base.

Finding pH of Strong and Weak Acid Solutions

For strong acids, [H3O+] ≈ [acid]. For weak acids, equilibrium calculations are required:

  • Use an ICE (Initial, Change, Equilibrium) table to solve for [H3O+].

ICE table for HCN ionization ICE table with variable x ICE table with equilibrium concentrations Ka calculation and percent ionization

Finding the Equilibrium Constant from pH

ICE table for HA ionization ICE table with equilibrium concentrations for HA Ka calculation from equilibrium concentrations

Percent Ionization

Percent ionization measures the fraction of acid molecules that ionize:

Percent ionization equation ICE table for HNO2 ionization Percent ionization calculation for HNO2

Strong and Weak Bases

  • Strong Bases: Completely dissociate in water (e.g., NaOH).

  • Weak Bases: Only partially accept H+ (e.g., NH3).

A strong base: NaOH dissociates completely in water A weak base: NH3 only partially ionizes in water

Base Ionization Constant (Kb)

Base strength is measured by the base ionization constant, Kb:

  • Larger Kb = stronger base

Kb equation Table of weak bases and their Kb values

Finding the [OH-] and pH of a Weak Base Solution

  • Use an ICE table to solve for [OH-].

  • Calculate [H3O+] using Kw.

  • Find pH from [H3O+].

ICE table for NH3 ionization ICE table with variable x for NH3 ICE table with equilibrium concentrations for NH3 Kb calculation and percent ionization for NH3 ICE table for NH3 ionization pH calculation for NH3 solution

Relationship Between Ka and Kb

Ka and Kb for a conjugate acid–base pair are related:

  • For a given acid and its conjugate base:

Relationship between Ka and Kb

Classifying Salt Solutions

Salt solutions can be acidic, basic, or neutral depending on the nature of their ions:

  • Neutral: Cation from strong base, anion from strong acid (e.g., NaCl).

  • Basic: Cation from strong base, anion from weak acid (e.g., NaF).

  • Acidic: Cation is conjugate acid of weak base, anion from strong acid (e.g., NH4Cl).

  • Acidic: Cation is highly charged metal ion, anion from strong acid (e.g., Al(NO3)3).

  • Depends: Both cation and anion are conjugates of weak acid/base (e.g., NH4F).

Strengths of Binary and Oxyacids

  • Binary acid strength increases across a period and down a group.

  • Oxyacid strength increases with electronegativity and oxidation number of the central atom.

  • More oxygens attached to the central atom increases acid strength.

Lewis Acid–Base Theory

Lewis theory focuses on electron pair transfer:

  • Lewis Base: Electron pair donor (nucleophile).

  • Lewis Acid: Electron pair acceptor (electrophile).

  • Does not require H atoms.

Examples of Lewis acid–base reactions Lewis acid–base adduct formation

Summary Table: pH of Common Substances

Table of pH values for common substances

Summary Table: Strong and Weak Acids and Bases

Table of strong acids Table of weak acids Table of weak bases

Summary Table: Acid Ionization Constants

Table of Ka values for weak acids

Summary Table: pH Calculations

pH calculation from [H3O+] pH calculation from [OH-] Calculating [H3O+] from pH pH calculation for NH3 solution

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