BackAcids and Bases: Properties, Definitions, Equilibria, and pH Calculations
Study Guide - Smart Notes
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

pOH Scale
pOH is defined similarly:
Relationship between pH and pOH:
(at 25°C)

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 |

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.