AP Chemistry · Unit 8
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Reference
Acids, bases and logarithms
Use ideal dilute solutions. Unless stated otherwise, temperature is 25 °C. Hydronium is the proton-bearing ion in water.
Kw = [H3O+][OH−] = 1.0 × 10−14 (25 °C)
pH = −log[H3O+]
pOH = −log[OH−]
pH + pOH = 14.00 (25 °C)
Ka × Kb = Kw
pKa = −log Ka
Neutral water has equal hydronium and hydroxide concentrations. Neutral pH depends on temperature because Kw depends on temperature.
Precision and units
Log rule: decimal places in pH, pOH or pKa equal significant figures in the concentration or K value. Keep extra digits until the final answer.
Choose no units for pH, pOH, pKa, Ka, Kb and Kw. Choose M for concentrations and molar solubility. Precision feedback is advisory; a correct value with the right unit earns its point.
Weak-acid and weak-base equilibria
HA(aq) + H2O(l) ⇌ H3O+(aq) + A−(aq)
Ka = [H3O+][A−]/[HA]
NH3(aq) + H2O(l) ⇌ NH4+(aq) + OH−(aq)
Kb = [NH4+][OH−]/[NH3]
An ICE table lists initial, change and equilibrium concentrations. For a single ionizing weak acid or base with initial concentration C and no initial products:
K = x2/(C − x)
For the small-x approximation, check x/C × 100 < 5%. Otherwise solve the full equation. Percent ionization increases on dilution of a weak acid at fixed temperature.
Percent ionization = (ionized acid concentration / initial acid concentration) × 100%.
Buffers and titrations
pH = pKa + log([A−]/[HA])
A−(aq) + H3O+(aq) → HA(aq) + H2O(l)
HA(aq) + OH−(aq) → A−(aq) + H2O(l)
React added strong acid or base completely first. Use remaining conjugate amounts in the buffer ratio. Both components must remain appreciable. Dilution nearly preserves pH but lowers capacity per volume. Greater total concentration increases capacity; a ratio near unity balances acid and base capacity.
At weak-acid half-equivalence, pH = pKa. At equivalence, a weak acid with strong base gives pH above 7; a weak base with strong acid gives pH below 7; a strong acid with strong base gives pH 7.00 at 25 °C. The indicator endpoint is an observed color change near the stoichiometric equivalence point.
Constants used in these questions
| Species | K | Value |
|---|---|---|
| Acetic acid (CH3COOH) | Ka | 1.8 × 10−5 |
| Acetic acid, more precise measurement (CH3COOH) | Ka | 1.80 × 10−5 |
| Ammonia (NH3) | Kb | 1.8 × 10−5 |
| Hydrofluoric acid (HF) | Ka | 6.8 × 10−4 |
| Acetate, derived (CH3COO−) | Kb | 5.6 × 10−10 |
| Hypothetical weak acid (HA) | Ka | 1.0 × 10−3 |
pH and solubility
Acid can consume basic anions such as carbonate, fluoride and hydroxide, increasing molar solubility at fixed Ksp. Chloride is not appreciably protonated by dilute acid. Use the free-ion concentrations in Ksp.
CaF2(s) ⇌ Ca2+(aq) + 2F−(aq); Ksp = 3.20 × 10−11
Mg(OH)2(s) ⇌ Mg2+(aq) + 2OH−(aq); Ksp = 5.6 × 10−12
Aligned practice for AP Chemistry CED topics 8.1 to 8.11. Original ZornScience questions.
About this activity
Review AP Chemistry Unit 8, Acids and Bases, with 66 original questions. Each answer gets an explanation right away, and your score is broken down by topic.
Related lessons
- Unit 8: Acids and BasesAP Chemistry