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IB Diploma Chemistry HL · Reactivity 3.1 (AHL) — Ka, Kb, buffers and pH curves
Mini-Lesson

Acid-base equilibria (AHL)

This Additional Higher Level mini-lesson covers Reactivity 3.1: Ka, Kb, pKa and pKb, the pH of weak acids, buffers, and pH titration curves.

Ka & pKaweak-acid pHbuffers & curves Reactivity 3.1 (AHL) — acid-base equilibria

Work through each screen, answer the questions as you go (some are wordy, some are calculations) and collect ⭐ stars. Press Start when you're ready.

AHL — Reactivity 3.1

Ka, Kb, pKa and pKb

For a weak acid HA ⇌ H⁺ + A⁻:

Ka = [H⁺][A⁻] ÷ [HA]and pKa = −log Ka

A larger Ka (smaller pKa) means a stronger weak acid. For a conjugate pair, Ka × Kb = Kw and pKa + pKb = 14.

AHL calculate

pKa

1Ethanoic acid has Ka = 1.8 × 10⁻⁵. Calculate its pKa.
pKa = −log(1.8 × 10⁻⁵).
AHL — Reactivity 3.1

pH of a weak acid

Because dissociation is small, for a weak acid of concentration C:

[H⁺] ≈ √(Ka × C)then pH = −log[H⁺]

This assumes [HA] at equilibrium ≈ initial C and [H⁺] ≈ [A⁻].

AHL calculate

Weak-acid pH

2Calculate the pH of 0.10 mol dm⁻³ ethanoic acid (Ka = 1.8 × 10⁻⁵).
[H⁺] = √(1.8 × 10⁻⁵ × 0.10) = 1.34 × 10⁻³; pH = −log[H⁺].
AHL — Reactivity 3.1

Buffer solutions

A buffer resists pH change on adding small amounts of acid or base. An acidic buffer is a weak acid plus its salt (conjugate base):

pH = pKa + log([A⁻] ÷ [HA])Henderson-Hasselbalch equation
AHL calculate

Buffer pH

3A buffer has [A⁻] : [HA] = 2 : 1 with pKa = 4.74. Calculate its pH.
pH = pKa + log(2 ÷ 1) = 4.74 + 0.30.
AHL — Reactivity 3.1

pH titration curves

Plotting pH against added titrant gives characteristic curves. The steep equivalence point depends on the acid/base strengths. For a weak acid with strong base, the half-equivalence point gives pH = pKa. Indicators are chosen so their range spans the steep part.

AHL check

Half-equivalence

?At the half-equivalence point of a weak acid titrated with a strong base:
AHL check

Buffer make-up

?Which mixture forms an effective acidic buffer?
Sort it

Strong, weak or buffer?

Tap a description, then the category.

💪 Strong acid

🤏 Weak acid

🧯 Buffer

Match it

Match the term to its formula

Tap an item on the left, then its match on the right.

Term
Formula
Recap

The big ideas to know

Ka & pKa: Ka = [H⁺][A⁻]/[HA]; pKa = −log Ka; smaller pKa = stronger

Weak-acid pH: [H⁺] ≈ √(Ka × C), then pH = −log[H⁺]

Buffers: weak acid + salt; pH = pKa + log([A⁻]/[HA])

Curves: half-equivalence gives pH = pKa; pick indicators over the steep region

You've covered Acid-base equilibria (AHL) for IB Diploma Chemistry HL. Press Finish to see your score.

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