A Level · Topic 25.1
A-Level Chemistry 9701 / Topic 25 / A2

Holding the pH steady.

A buffer keeps its pH almost constant when small amounts of acid or alkali are added. The trick is two large reservoirs: a weak acid to mop up OH− and its conjugate base to mop up H+.

The key idea

A buffer solution is a solution that resists changes in pH when small amounts of acid or alkali are added. An acidic buffer contains a weak acid and its conjugate base, for example CH3COOH with CH3COONa: added H+ is removed by CH3COO− + H+ → CH3COOH, and added OH− is removed by CH3COOH + OH− → CH3COO− + H2O. An alkaline buffer such as NH3 with NH4Cl works the same way using NH3 and NH4+. Because both reservoirs are large, their ratio hardly changes, so the pH, given by [H+] = Ka × [HA] ÷ [A−], hardly changes. Blood is buffered by H2CO3 / HCO3−.

an acid buffer: large reservoirs of HA and A⁻ CH₃COOH ⇌ CH₃COO⁻ + H⁺ HA from the acid, A⁻ from the salt add a little H⁺ CH₃COO⁻ + H⁺ → CH₃COOH H⁺ is removed by A⁻ pH barely falls add a little OH⁻ CH₃COOH + OH⁻ → CH₃COO⁻ + H₂O OH⁻ is removed by HA pH barely rises
Fig. 1: how the ethanoic acid and ethanoate buffer removes added H+ and OH−
Section 01

How a buffer works.

A buffer needs a large amount of both partners. Compare each mixture below: only those with a weak acid and a large amount of its conjugate base (or a weak base and its conjugate acid) can buffer.

BufferRemoves added H+Removes added OH−
CH3COOH + CH3COONa (acidic, pH about 4 to 6)CH3COO− + H+ → CH3COOHCH3COOH + OH− → CH3COO− + H2O
NH3 + NH4Cl (alkaline, pH about 9)NH3 + H+ → NH4+NH4+ + OH− → NH3 + H2O
H2CO3 + HCO3− (blood, pH 7.35 to 7.45)HCO3− + H+ → H2CO3H2CO3 + OH− → HCO3− + H2O
Stage 1 · Learn

Check what the sim just showed you

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What is a buffer solution?

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Which mixture forms a buffer?

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What is the pH of a buffer containing 0.100 mol dm−3 ethanoic acid and 0.100 mol dm−3 sodium ethanoate (Ka = 1.74 × 10−5 mol dm−3)?

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Which indicator should be used to titrate ethanoic acid with sodium hydroxide?

Section 02

Calculating buffer pH.

Write Ka for the weak acid, rearrange for [H+] and use the concentrations of acid and salt directly. Ethanoic acid: Ka = 1.74 × 10−5 mol dm−3.

Buffer[HA] : [A−][H+] / mol dm−3pH
0.100 mol dm−3 acid + 0.100 mol dm−3 salt1 : 11.74 × 10−54.76 (= pKa)
0.200 mol dm−3 acid + 0.100 mol dm−3 salt2 : 13.48 × 10−54.46
50.0 cm3 of 0.200 mol dm−3 acid + 25.0 cm3 of 0.100 mol dm−3 NaOH0.00750 : 0.00250 mol = 3 : 15.22 × 10−54.28
1.00 dm3 with 0.0100 mol of each, then 0.00100 mol HCl added0.0110 : 0.009002.13 × 10−54.67
Section 03

Titration curves and indicators.

Run each acid and base pairing in the simulator. Notice the buffer region on the weak acid curve, where pH = pKa at half-neutralisation, and check which indicator changes colour inside the steep section.

TitrationpH at equivalenceSuitable indicator
strong acid + strong base7methyl orange (3.1 to 4.4) or phenolphthalein (8.3 to 10.0)
weak acid + strong baseabout 9phenolphthalein
strong acid + weak baseabout 5methyl orange
weak acid + weak baseno steep sectionnone suitable
Examiner trap

A buffer is not a solution whose pH never changes: it resists change from small additions, and fails once one reservoir is used up. In buffer calculations use the salt concentration for [A−], not [H+]; the √(Ka c) shortcut is for a weak acid on its own. When acid and alkali are mixed to make a buffer, work in moles after reaction before taking the ratio.

Stage 2 · Exam

Exam-style questions

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Calculate the pH of a buffer made from 0.200 mol dm−3 ethanoic acid and 0.100 mol dm−3 sodium ethanoate (Ka = 1.74 × 10−5 mol dm−3).

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50.0 cm3 of 0.200 mol dm−3 ethanoic acid is mixed with 25.0 cm3 of 0.100 mol dm−3 NaOH. What is the pH (Ka = 1.74 × 10−5 mol dm−3)?

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1.00 dm3 of buffer contains 0.0100 mol ethanoic acid and 0.0100 mol sodium ethanoate. 0.00100 mol HCl is added. What is the new pH?

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Which equation shows how an ammonia and ammonium chloride buffer removes added acid?

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Six original Cambridge-style questions
How acidic and alkaline buffers work, calculating buffer pH, the blood buffer and choosing indicators.