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Acids and Bases: Properties, Definitions, and Calculations

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Acids and Bases

Nature and Definitions of Acids and Bases

Acids and bases are fundamental classes of compounds in chemistry, each with distinct properties and definitions. Understanding their behavior is essential for predicting chemical reactivity and solution properties.

  • Acids are substances that can donate protons (H+) or accept electron pairs.

  • Bases are substances that can accept protons or donate electron pairs.

  • There are three main definitions:

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

    • Brønsted–Lowry: Acids are proton donors; bases are proton acceptors.

    • Lewis: Acids accept electron pairs; bases donate electron pairs.

Properties of Acids

Acids exhibit several characteristic properties that distinguish them from other substances.

  • Sour taste (e.g., citric acid in lemons).

  • Ability to dissolve many metals (e.g., HCl reacts with Zn).

  • Change blue litmus paper to red.

  • Neutralize bases to form water and salts.

Table of common acids and their uses

Structures and Types of Acids

Acids can be classified based on their structure and the atom to which the acidic hydrogen is attached.

  • Binary acids: Acidic hydrogen attached to a nonmetal (e.g., HCl, HF).

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

  • Carboxylic acids: Contain the COOH group; only the hydrogen in the COOH is acidic (e.g., acetic acid, citric acid).

Structure of acetic acid

Properties of Bases

Bases are substances with distinct physical and chemical properties.

  • Bitter taste (e.g., alkaloids in plants).

  • Slippery feel (e.g., soap).

  • Change red litmus paper to blue.

  • Neutralize acids to form water and salts.

Table of common bases and their uses

Common Household Acids and Bases

Many acids and bases are found in everyday products, including cleaning agents, food, and beverages.

Household products containing acids and bases

Brønsted–Lowry Theory and Conjugate Pairs

Brønsted–Lowry Acids and Bases

The Brønsted–Lowry theory expands the definition of acids and bases to include proton transfer reactions.

  • Acid: Proton (H+) donor.

  • Base: Proton (H+) acceptor.

Example reactions:

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

  • NH3(aq) + H2O(l) ⇌ NH4+(aq) + OH–(aq)

Formation of hydronium ion

Amphoteric Substances

Some substances, such as water, can act as either an acid or a base depending on the reaction. These are called amphoteric substances.

Conjugate Acid–Base Pairs

In every Brønsted–Lowry acid–base reaction, two conjugate acid–base pairs are formed. The acid becomes its conjugate base after donating a proton, and the base becomes its conjugate acid after accepting a proton.

Conjugate acid–base pairs Reaction showing conjugate acid–base pairs

Strong and Weak Acids and Bases

Strong Acids

Strong acids ionize completely in water, meaning all acid molecules donate their protons to water, forming hydronium ions.

  • Strong acids are strong electrolytes.

  • [H3O+] = [strong acid] (for monoprotic acids).

Strong acid ionization in water Table of strong acids

Weak Acids

Weak acids only partially ionize in water; most molecules remain un-ionized.

  • Weak acids are weak electrolytes.

  • [H3O+] << [weak acid].

Weak acid ionization in water Table of weak acids

Acid Ionization Constant (Ka)

The strength of an acid is measured by its acid ionization constant, Ka. The larger the Ka, the stronger the acid.

  • General reaction: HA(aq) + H2O(l) ⇌ H3O+(aq) + A–(aq)

Ka expression Table of Ka values for weak acids

Strong and Weak Bases

Bases can also be classified as strong or weak based on their degree of ionization in water.

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

  • Weak bases: Only partially accept protons (e.g., NH3).

Strong base ionization in water Weak base ionization in water Kb expression Table of weak bases and Kb values

pH, pOH, and Solution Acidity

pH Scale

The pH scale is a logarithmic measure of the hydronium ion concentration in a solution. It is widely used to express the acidity or basicity of solutions.

  • pH = −log[H3O+]

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

  • [H3O+] = 10−pH

pH scale pH scale diagram

pOH Scale

The pOH scale is a logarithmic measure of the hydroxide ion concentration in a solution.

  • pOH = −log[OH–]

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

  • [OH–] = 10−pOH

pOH scale diagram

Relationship Between pH and pOH

At 25°C, the sum of pH and pOH is always 14.

  • This relationship is derived from the ion product constant for water: at 25°C.

Percent Ionization

The percent ionization of an acid is the fraction of acid molecules that ionize in solution, expressed as a percentage.

Percent ionization formula

pK Values

pK values provide a logarithmic measure of acid and base strength.

  • pKa = −log(Ka); smaller pKa = stronger acid.

  • pKb = −log(Kb); smaller pKb = stronger base.

Acid–Base Properties of Ions and Salts

Acid–Base Properties of Ions

Ions in solution can affect the pH depending on their origin.

  • Anions from weak acids are basic (e.g., F–, HCO3–).

  • Anions from strong acids are neutral (e.g., Cl–, NO3–).

  • Cations from weak bases are acidic (e.g., NH4+).

  • Cations from strong bases are neutral (e.g., Na+, Ca2+).

  • Small, highly charged metal cations are weakly acidic (e.g., Al3+).

Hydrolysis of hydrated aluminum ion

Acid–Base Properties of Salts

The pH of a salt solution depends on the acid–base properties of its constituent ions.

  • Salts from strong acid and strong base: neutral.

  • Salts from strong base and weak acid: basic.

  • Salts from weak base and strong acid: acidic.

  • Salts from weak acid and weak base: compare Ka and Kb.

Polyprotic Acids

Ionization of Polyprotic Acids

Polyprotic acids can donate more than one proton, and each ionization step has its own Ka value. The first ionization is always the strongest (Ka1 > Ka2 > Ka3).

  • For most polyprotic acids, only the first ionization significantly affects pH.

  • Exception: H2SO4 (sulfuric acid), where both ionizations are important.

Table of polyprotic acids and their Ka values

Lewis Acid–Base Theory

Lewis Acids and Bases

The Lewis definition broadens the concept of acids and bases to include electron pair transfer.

  • Lewis acid: Electron pair acceptor (often electron-deficient species).

  • Lewis base: Electron pair donor (often species with lone pairs).

  • Lewis acid–base reactions result in the formation of a covalent bond (adduct).

Example: NH3 (Lewis base) donates a pair of electrons to BF3 (Lewis acid) to form H3N–BF3.

Arrhenius and Brønsted–Lowry acid–base reactions are also Lewis acid–base reactions.

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