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Acids and Bases: Properties, Definitions, Equilibria, and pH Calculations

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Tailored notes based on your materials, expanded with key definitions, examples, and context.

Acids and Bases

Properties of Acids and Bases

Acids and bases are fundamental chemical species with distinct properties that are easily observed in laboratory and everyday contexts.

  • Acids: Sour taste, ability to dissolve metals, turn litmus paper red, neutralize bases.

  • Bases: Bitter taste, slippery feel, turn litmus paper blue, neutralize acids.

Definitions of Acids and Bases

There are several definitions for acids and bases, each with its own scope and application:

  • Arrhenius Definition: An acid produces H+ ions in aqueous solution; a base produces OH– ions in aqueous solution.

  • Brønsted–Lowry Definition: An acid donates H+ in a chemical reaction; a base accepts H+. This definition is more broadly applicable.

  • Lewis Definition: (To be covered later) Focuses on electron pair donation and acceptance.

Acid Dissociation and Conjugate Pairs

Acids dissociate in water, forming conjugate acid-base pairs. For example:

  • CH3COOH(aq) + H2O(l) → CH3COO–(aq) + H3O+(aq)

  • Acid (donates H+): CH3COOH

  • Base (accepts H+): H2O

  • Conjugate base: CH3COO–

  • Conjugate acid: H3O+

The weaker the acid, the stronger its conjugate base.

Acid and Base Strength

Acid Ionization Constant (Ka)

The equilibrium constant for acid dissociation is called the acid ionization constant, Ka:

  • Strong acids: Equilibrium lies far to the right; reaction goes to completion. Ka is not discussed for strong acids.

  • Weak acids: Equilibrium exists; Ka is used to quantify strength.

  • Stronger acid: Larger Ka value.

Base Ionization Constant (Kb)

Bases also have an equilibrium constant, Kb:

  • Stronger base: Larger Kb value.

Relationship Between Ka and Kb

For a conjugate acid-base pair:

Where is the ion-product constant for water.

Autoionization of Water and Kw

Autoionization Reaction

Water can act as both an acid and a base (amphoteric). When two water molecules react:

The equilibrium constant is:

At 25°C, .

  • If , the solution is acidic.

  • If , the solution is basic.

  • If , the solution is neutral.

Hydronium and Hydroxide Concentrations in Pure Water

In pure water at 25°C:

The pH and pOH Scales

pH Scale

The pH scale is a logarithmic scale used to quantify acidity:

  • pH < 7.0: Acidic

  • pH = 7.0: Neutral

  • pH > 7.0: Basic

pH and pOH scale diagram

pOH Scale

pOH is defined similarly:

Relationship between pH and pOH:

(at 25°C)

pH and pOH values for common substances

Converting Between pH, pOH, [H3O+], and [OH–]

  • Given one value, others can be calculated using and logarithmic relationships.

pKa and pKb

pKa and pKb Definitions

pKa and pKb are logarithmic measures of Ka and Kb:

Lower pKa means stronger acid.

Percent Ionization of Weak Acids

Definition and Calculation

Percent ionization quantifies how much a weak acid dissociates:

  • As acid concentration increases, percent ionization typically decreases.

Example Calculation

For a weak acid with and , :

Summary Table: pH and pOH Values for Common Substances

Substance

pH

pOH

1 M NaOH

14

0

Household ammonia

11

3

Toothpaste

9

5

Baking soda solution

8

6

Pure water

7

7

Urine

6

8

Black coffee

5

9

Cola or vinegar

3

11

Gastric juices

1

13

1 M HCl

0

14

pH and pOH values for common substances

Practice and Application

  • Write balanced acid-base reactions and identify conjugate pairs.

  • Use equilibrium tables and Ka/Kb expressions to solve for unknown concentrations.

  • Calculate pH, pOH, and percent ionization for strong and weak acids.

Example: For HNO2 with Ka = 4.6 x 10–4 and [HNO2]initial = 0.200 M, pH = 2.02.

Additional info: The notes cover all major aspects of acid-base chemistry relevant to a general chemistry course, including equilibrium, calculations, and conceptual understanding.

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