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4.5.7Unit 4. Rates, Equilibria and Further Organic Chemistry

Titration Curves — IAL Edexcel Linear (Chemistry) Revision Notes & Topical Questions

5 min read 5 parts Lesson 39 of 56 Unit quiz

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Curriculum Equation Key معادلة تفاعل تكوين الإستر (الأسترة) - Esterification Reaction EquationFast Exam Solution
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Section 1 of 5Shape of a Curve

A titration curve plots pH against volume of added solution.

Starting pH
  • Starting pH The initial pH depends on the acid;
    • a strong acid starts near 1 and a weak acid starts at a higher value.
Rapid change
  • Rapid change Near the equivalence point a tiny volume of titrant causes a rapid, almost vertical rise of several pH units.
Equivalence point
  • Equivalence point This is the point at which the moles of acid and base exactly match according to the balanced equation.
Final pH
  • Final pH After excess alkali is added the curve flattens at a high pH close to that of the alkali solution.

Section 2 of 5Four Combinations

Four Combinations
Strong acid, strong base
  • Strong acid, strong base The vertical section covers about pH 3 to 11, and the equivalence point is at pH 7.
Weak acid, strong base
  • Weak acid, strong base The vertical section covers about pH 7 to 11 and the equivalence point is above 7, about 8.7 for ethanoic acid.
Strong acid, weak base
  • Strong acid, weak base The vertical section covers about pH 3 to 7 and the equivalence point is below 7.
Weak acid, weak base
  • Weak acid, weak base There is no sharp vertical section, so no indicator gives a clear end point for this titration.
IndicatorpH range of colour changeSuitable for
Methyl orange3.1 to 4.4Strong acid, strong base; strong acid, weak base
Phenolphthalein8.3 to 10.0Strong acid, strong base; weak acid, strong base

Section 3 of 5Reading the Curve

1
Find the equivalence point at the middle of the vertical section of the curve and read off the volume.
2
Use the volume and concentration to calculate the moles of the known solution, then use the equation ratio.
3
For a weak acid, find half the equivalence volume and read the pH there, which equals the pKa.
4
Choose an indicator whose colour-change range lies entirely within the vertical section of the curve.

Section 4 of 5Worked Example

Question

  • 25.0 cm³ of 0.100 mol dm⁻³ ethanoic acid (Ka = 1.74 × 10⁻⁵ mol dm⁻³) is titrated with 0.100 mol dm⁻³ NaOH.
  • State the volume of NaOH at equivalence, the pH at half-equivalence, and calculate the pH at equivalence.

  1. Moles of acid = 0.0250 × 0.100 = 2.50 × 10⁻³ mol, so equivalence needs 25.0 cm³ of NaOH.
  2. At half-equivalence (12.5 cm³), [HA] = [A⁻], so pH = pKa = −log₁₀(1.74 × 10⁻⁵) = 4.76.
  3. At equivalence [A⁻] = 2.50 × 10⁻³ / 0.0500 dm³ = 0.0500 mol dm⁻³; Kb = Kw / Ka = 5.75 × 10⁻¹⁰,
    • so [OH⁻] = √ = 5.36 × 10⁻⁶; pOH = 5.27 and pH = 14.00 − 5.27 = 8.73.
      • (5.75 × 10⁻¹⁰ × 0.0500)

Answer

  • 25.0 cm³;
    • pH 4.76 at half-equivalence;
    • pH 8.73 at equivalence.

Section 5 of 5Exam Checklist & Tips

4.5.7 – Key Points for the Exam

  • Equivalence point Point at which reactants are in exact stoichiometric ratio.
  • End point The point at which the indicator changes colour.
  • Indicator A weak acid or base whose colour differs from its conjugate.
  • Titrant The solution added from the burette.

Common Mistakes

  • Choosing methyl orange for a weak acid with a strong base.
  • Assuming every equivalence point is at pH 7.
  • Reading the equivalence point from the start of the vertical section instead of its midpoint.
  • Taking pKa from the equivalence volume instead of half the volume.

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