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Buffers and titration curves

Walk a weak acid across its whole range and watch where the pH actually goes.

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Explanation mode
24681012pH 7pH = pKa8.73titrant added (mL) · equivalence at 25pH
Titrated against NaOH 0.1 mol/L
pH here: 4.76The buffer region

Description of this simulation

25 mL of 0.1 mol/L CH3COOH starts at pH 2.88 and reaches equivalence after 25 mL of titrant. Halfway there, at 12.5 mL, the pH is 4.76 — which is the pKa of CH3COOH. That is what the half-equivalence point is for. Equivalence is at pH 8.73, not 7. All the acid has been converted to its conjugate base, and that base takes a proton back from the water, so the solution is alkaline at the very moment the acid is used up.

CH3COOHweak
pKa
4.76
Equivalence volume
25 mL
pH at equivalence
8.73alkaline
pH at half-equivalence
4.76 = pKa
Useful buffer range
3.765.76

Equivalence is not pH 7. All the acid has been converted to its conjugate base, and that base takes a proton back from the water, so the solution is alkaline at the very moment the acid is used up. A curve that crosses 7 at equivalence is the classic wrong plot.

What a buffer actually does

The same 0.01 mol of strong acid, added to a litre of buffer and to a litre of pure water.

Into the buffer

4.764.67

±0.09

Into pure water

72

±5

A buffer resists change; it does not prevent it. Both pH values moved — one by about a tenth of a unit, the other by five.

Which indicator would work

  • Methyl orange3.14.4wrong for this one
  • Litmus58wrong for this one
  • Bromothymol blue67.6wrong for this one
  • Phenolphthalein8.310suits this titration

An indicator has to change colour where the curve is vertical. Methyl orange on a weak acid changes far too early, which shows up as a titre that is consistently short.

Where this came from

Acids, bases and pH

What this model shows — and what it simplifies

Educational Model

The curve is solved point by point from the charge and mass balances together with Ka, not sketched from a formula that only holds in the buffer region.

Where do we see this in real life?

Blood is held between pH 7.35 and 7.45 by a carbonate buffer, and a tenth of a unit either way is a medical emergency. The same arithmetic decides how a swimming pool is dosed and which crops a soil will grow.