Acid-Base Indicators
| Indicator | pKa (HIn) | Acid colour | Alkaline colour | pH range |
|---|---|---|---|---|
| Methyl orange | 3.5 | Red | Yellow | 3.1–4.4 |
| Methyl red | 5.1 | Red | Yellow | 4.4–6.2 |
| Litmus | 6.5 | Red | Blue | 5.0–8.0 |
| Bromothymol blue | 7.1 | Yellow | Blue | 6.0–7.6 |
| Phenolphthalein | 9.2 | Colourless | Pink/red | 8.2–10.0 |
| Alizarin yellow | 11 | Yellow | Red | 10.1–12.0 |
Choosing the Right Indicator
The indicator must change colour within the vertical portion of the titration curve (the steep region near the equivalence point). If the pH jump is large (e.g. 4 to 10), many indicators work. If small (e.g. weak acid/weak base), few indicators are suitable.
Titration Curves
Strong Acid + Strong Base (e.g. HCl + NaOH)
Weak Acid + Strong Base (e.g. CH₃COOH + NaOH)
Strong Acid + Weak Base (e.g. HCl + NH₃)
Weak Acid + Weak Base (e.g. CH₃COOH + NH₃)
Polyprotic Acids
Phosphoric Acid H₃PO₄
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Exercises
- State which indicator you would choose for each titration and explain why: (a) HCl + NaOH; (b) CH₃COOH + NaOH; (c) HCl + NH₃.(a) Any indicator that changes in pH 4–10 range: methyl orange, phenolphthalein, or bromothymol blue — large pH jump. (b) Phenolphthalein (8.2–10): equivalence point is basic (pH ~9), and the jump is in alkaline range. Methyl orange would change too early in the buffer region. (c) Methyl orange (3.1–4.4): equivalence point is acidic (pH ~5), jump is in acid range. Phenolphthalein would never show a colour change.
- Explain why the equivalence point of a weak acid/strong base titration has pH > 7.At equivalence, all the weak acid has been converted to its conjugate base (e.g. CH₃COO⁻). This anion hydrolyses in water: CH₃COO⁻ + H₂O ⇋ CH₃COOH + OH⁻. The equilibrium produces OH⁻ ions → solution is basic (pH > 7). The stronger the weak acid (higher Ka), the less hydrolysis and the closer to pH 7 the equivalence point.
- Why is no simple indicator suitable for a weak acid/weak base titration?Because there is NO sharp pH jump at the equivalence point. The pH changes gradually through the equivalence point — a curved S-shape with a very small vertical region. No indicator has a colour change range narrow enough to detect the equivalence point precisely. A pH electrode (potentiometric titration) must be used to plot the full curve and identify the equivalence point from the inflection point.
- Sketch the shape of: (a) strong acid + strong base; (b) weak acid + strong base titration curves. Label the pH at equivalence and suggest an indicator for each.(a) Strong/strong: starts low pH (~1), gradual rise, sharp S-jump from pH~4 to pH~10 at equivalence, equivalence at pH=7, continues rising. Any common indicator works. (b) Weak acid/strong base: starts higher (~pH 3), rises through buffer region (flat S), half-equivalence pH = pKa, equivalence pH ~8–9 (basic), steep section shifted to alkaline region. Use phenolphthalein.
- Calculate the pH at the half-equivalence point of an ethanoic acid/NaOH titration (pKa CH₃COOH = 4.74).At half-equivalence: exactly half the acid has been neutralised. [CH₃COOH] = [CH₃COO⁻]. Henderson-Hasselbalch: pH = pKa + log([A⁻]/[HA]) = 4.74 + log(1) = 4.74 + 0 = pH = 4.74. The half-equivalence point directly gives the pKa of the weak acid — a useful method for determining pKa experimentally.
- A student uses litmus as the indicator for a CH₃COOH/NaOH titration. Why will this give an inaccurate result?Litmus changes colour in the range pH 5–8 (around pH 7). For a weak acid/strong base titration, the equivalence point is at pH ~8.5–9. The steep part of the titration curve is in the pH 8–10 range. Litmus would change colour BEFORE the equivalence point is reached (at pH 7, before enough NaOH has been added). This gives a low result for the volume of NaOH needed — an inaccurate titration. Phenolphthalein (8.2–10) should be used instead.
Quiz — 25 Questions
Unit 10: Indicators & Titration Curves
25 QsPhenolphthalein is colourless below pH 8.2 and pink above pH 10. It should NOT be used for:
At the half-equivalence point of a weak acid titration, pH =
The equivalence point of a strong acid + weak base titration is:
For a weak acid/weak base titration:
Which indicator is best for strong acid + strong base?
Methyl orange turns red below pH 3.1 and yellow above pH 4.4. The pKa of methyl orange is approximately:
The buffer region in a weak acid/strong base titration occurs:
A titration curve shows three equivalence points. The acid being titrated is most likely:
The steep (vertical) portion of a titration curve corresponds to:
Why does the weak acid/strong base titration curve start at a higher pH than strong acid/strong base?
Select the correct statement about indicators:
In a diprotic acid titration with NaOH, the FIRST equivalence point corresponds to:
Bromothymol blue (pH range 6–7.6) is ideal for:
The salt formed at equivalence in HCl + NH₃ titration is:
If phenolphthalein (range 8.2–10) is used for HCl + NaOH titration:
The pH of 0.1 mol/L CH₃COOH (pKa=4.74) before titration begins is:
What happens to the pH at the very end of a weak acid/strong base titration (after equivalence)?
A student adds too many drops of indicator. This could:
A buffer solution formed during a weak acid + strong base titration:
What is the most important consideration when selecting an indicator for a titration?
The Henderson-Hasselbalch equation pH = pKa + log([A⁻]/[HA]) applies:
Alizarin yellow (pH range 10.1–12.0) would be used for:
The pH at the equivalence point of CH₃COOH (pKa=4.74) + NaOH is:
For a triprotic acid (H₃A), the second equivalence point corresponds to:
A titration is performed twice: once using methyl orange and once using phenolphthalein. Both give the same volume of titrant. The titration is most likely:
Unit 10 Quiz — Indicators & Titration (25 Questions)
Select one answer eachAn acid-base indicator changes colour because:
The pH range of colour change for an indicator is approximately:
Phenolphthalein changes from colourless to pink in the pH range:
Methyl orange is suitable for titrating:
At the equivalence point of a strong acid–strong base titration, pH is:
The equivalence point of a weak acid–strong base titration has pH:
A titration curve for strong acid vs strong base shows a near-vertical portion at the equivalence point because:
For a weak acid–strong base titration, the buffer region occurs:
A diprotic acid (H₂A) titrated with NaOH shows:
Back titration is used when:
The indicator used for a strong acid–strong base titration can be:
Why is phenolphthalein NOT suitable for strong acid–weak base titrations?
A standard solution is prepared accurately by:
Standardisation of NaOH solution uses potassium hydrogen phthalate (KHP) because:
The titre in a titration is:
In a complexometric titration using EDTA, EDTA:
Hardness of water is caused by Ca²⁺ and Mg²⁺ ions. It is measured by titration with:
Redox titrations using KMnO₄ are carried out in:
The endpoint is shown in KMnO₄ titrations because:
An iodometric titration uses thiosulfate to titrate:
Argentometric titration (Mohr method) uses AgNO₃ to determine:
The term 'endpoint' in a titration refers to:
In a precipitation titration, the Fajans method uses:
Potentiometric titration determines the endpoint by:
Why is a magnetic stirrer/constant swirling used during titration?
Unit Test — 50 marks
Section A
30 marksDescribe the theory of acid-base indicators. Explain why pKa of the indicator should match the equivalence point pH, and derive the pH range of colour change. [5]
Draw and describe the shape of the titration curve for 25 mL of 0.1 mol/L ethanoic acid (pKa=4.74) titrated with 0.1 mol/L NaOH. Mark the initial pH, half-equivalence point, equivalence point, and suggest a suitable indicator. [5]
Compare titration curves for: (a) 0.1 mol/L HCl + 0.1 mol/L NaOH; (b) 0.1 mol/L NH₃ + 0.1 mol/L HCl. Include shape, equivalence point pH, pH jump magnitude, and indicator choice. [5]
For a phosphoric acid (H₃PO₄) titration with NaOH: (a) write the equation for each step; (b) state the pH at each half-equivalence point; (c) state the pH at the first equivalence point. [5]
(b) Half-equivalence points: pH = pKa₁ = 2.12; pH = pKa₂ = 7.21; pH = pKa₃ = 12.32.
(c) First equivalence pH ≈ (pKa₁ + pKa₂)/2 = (2.12 + 7.21)/2 = 4.67 (for diprotic salt NaH₂PO₄ in aqueous solution).
A sample of aspirin (acetylsalicylic acid, M=180 g/mol) is dissolved in ethanol and titrated with 0.100 mol/L NaOH. It takes 23.45 mL to reach the equivalence point (pink phenolphthalein). Calculate the mass of aspirin in the sample. [5]
Explain why: (a) HCl/NaOH has a large pH jump at equivalence; (b) CH₃COOH/NaOH has a smaller jump on the alkaline side; (c) CH₃COOH/NH₃ has virtually no jump. [5]
(b) CH₃COOH/NaOH: before equivalence, buffer (HA/A⁻) resists pH change → gradual rise. After equivalence, excess NaOH dominates as with strong/strong. pH jump shifted to alkaline side (pH~7 to ~11), smaller in range because the alkaline jump is normal but the acid side is buffered.
(c) CH₃COOH/NH₃: BOTH weak. The buffer action operates on BOTH sides of the equivalence point (weak acid before → buffer; conjugate acid/base pair near equivalence → buffer; weak base after → buffer). The pH changes very gradually throughout — essentially no steep section. The curve is almost a straight line, making endpoint detection impossible with simple indicators.
Section B
20 marks(a) What is meant by a ‘primary standard’ and why is Na₂CO₃ preferred to NaOH for standardising HCl? [3] (b) A student standardises HCl with 0.1000 mol/L Na₂CO₃. Titration data: 25.00 mL Na₂CO₃ requires 24.75 mL HCl to reach the first equivalence point using bromocresol green. Calculate [HCl]. [3] (c) Why would using phenolphthalein instead of bromocresol green for the Na₂CO₃/HCl titration give a different volume of HCl? [4]
(b) Na₂CO₃ + HCl → NaHCO₃ + NaCl (first equivalence, 1:1 ratio per CO₃²⁻ to HCO₃⁻). Moles Na₂CO₃ = 0.1000 × 25.00/1000 = 2.500×10⁻³ mol. Moles HCl = 2.500×10⁻³ mol (1:1 here). [HCl] = 2.500×10⁻³ / 24.75×10⁻³ = 0.1010 mol/L.
(c) Na₂CO₃ + 2HCl → 2NaCl + H₂O + CO₂ is the SECOND equivalence (complete neutralisation). Bromocresol green detects first equivalence (CO₃²⁻→HCO₃⁻, pH~8.3). Phenolphthalein also detects this first equivalence (changes at pH 8.2–10). HOWEVER: if the student is targeting the SECOND equivalence (pH~4, total reaction), methyl orange would be needed (gives double the HCl volume). Using bromocresol green vs methyl orange: half as much HCl at first vs second equivalence. If phenolphthalein is used, it gives the first equivalence (same as bromocresol green, same volume). But the equivalence point of the second step (pH~4) is below phenolphthalein range — phenolphthalein would have already turned colourless before equivalence in the second step.
Critically evaluate the use of acid-base titrations in pharmacy (purity testing of drugs), food science (acidity of fruit juice), and environmental monitoring (alkalinity of river water). For each: describe the titration used, the indicator chosen, and one potential source of error. [10]
Food science (fruit juice acidity): juice titrated with 0.1 mol/L NaOH. Indicator: phenolphthalein (mixture of citric, malic, ascorbic acids — all weak → equivalence at basic pH). Report as % citric acid equivalent. Error: CO₂ dissolved in juice acts as weak acid — titrates as carbonic acid → overestimates total acidity. Mitigated by: boiling juice briefly to remove dissolved CO₂ before titration.
Environmental monitoring (river alkalinity): water sample titrated with standardised H₂SO₄ or HCl. Alkalinity due to HCO₃⁻, CO₃²⁻, OH⁻. First equivalence (phenolphthalein endpoint): CO₃²⁻ → HCO₃⁻. Second equivalence (methyl orange/bromocresol green): HCO₃⁻ → CO₂. Report as mg/L CaCO₃ equivalent. Error: dissolved CO₂ from air enters sample during titration (open vessel), forming H₂CO₃ which is titrated as if it were alkalinity — underestimates true alkalinity. Mitigated by: sealed sample bottle, slow careful titration, minimal agitation.