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Unit 8 Notes Topic 9 AP CHEMISTRY Titration Curves & Half-Equivalence Points

1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
Titration Curve Types & Half-Equivalence

๐Ÿ“ˆ Acid-Base Titration Curve Types

Unit 8 | Topic 9 – Half-Equivalence Points & Curve Logic

๐Ÿ” Four Types of Titration Curves

These are the key acid-base pairings you’ll see in titrations, each with unique curves and equivalence behavior:

  • ๐Ÿ”ด Strong Acid + Strong Base
  • ๐ŸŸก Weak Acid + Strong Base
  • ๐Ÿ”ต Weak Base + Strong Acid
  • ⚪ Weak Acid + Weak Base (rare!)

1️⃣ Strong Acid + Strong Base

HCl + NaOH → NaCl + H₂O
  • Starts low (pH ≈ 1)
  • Sharp rise near midpoint
  • Equivalence point = pH 7
  • Ends high (strong base excess)

2️⃣ Weak Acid + Strong Base

CH₃COOH + NaOH → CH₃COONa + H₂O
  • Starts higher (pH ≈ 3)
  • Buffer region develops (acid + conjugate base)
  • Half-equivalence point: [HA] = [A⁻] → pKa = pH
  • Equivalence point > 7 (basic solution)

3️⃣ Weak Base + Strong Acid

NH₃ + HCl → NH₄Cl
  • Starts high (pH ≈ 11)
  • Falls slowly (buffer zone: NH₃ + NH₄⁺)
  • Half-equivalence point: [B] = [BH⁺] → pKb = pOH
  • Equivalence point < 7 (acidic)

4️⃣ Weak Acid + Weak Base

CH₃COOH + NH₃ → CH₃COONH₄
  • Starts around pH ≈ 3–4 or 10–11
  • Very gradual pH change
  • Equivalence point ≈ 7, but hard to locate
  • Curve is very smooth, almost no vertical jump
❌ Not used in practice — hard to measure due to no sharp inflection!

๐ŸŽฏ Half-Equivalence Points

  • Happens at the midpoint of the buffer region
  • For Weak Acid: pH = pKa when [HA] = [A⁻]
  • For Weak Base: pOH = pKb when [B] = [BH⁺]
  • Excellent spot for calculating acid/base strength!

⚠️ Common Drawing Mistakes in Titration Curves

  • ๐Ÿ“‰ Forgetting buffer regions in weak acid/base titrations
  • ๐Ÿ”ป Placing equivalence at pH 7 even when it's wrong! (Only true for strong + strong)
  • ๐Ÿ“ˆ Too steep or too flat vertical rise — should reflect acid/base strength
  • ๐Ÿ“ Misplacing half-equivalence point — it’s always before the vertical jump!
  • ๐Ÿ–️ Flat lines drawn as verticals — be realistic! Weak titrations are smooth!
๐Ÿ’ก Pro Tip: Use different indicators depending on where the equivalence point lies. Don’t just use phenolphthalein for every titration!

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