These titrations are used to determine the concentration of weak acids or weak bases by reacting them with standardized strong titrants. These experiments also demonstrate how equilibrium and hydrolysis affect the pH at the equivalence point.
A weak acid (\(\ce{HA}\)) reacts with hydroxide ions (\(\ce{OH^-}\)) to form its conjugate base (\(\ce{A^-}\)) and water.
\[\ce{CH3COOH + OH^- \rightarrow CH3COO^- + H2O}\]
At the equivalence point, the solution is effectively the same as the one obtained by dissolving a salt of the ion \(A^-\) in water. Because we're talking about a weak acid, the solution will contain both \(A^-\) and \(HA\). The conjugate base hydrolyzes with water to produce hydroxide ions, making the solution slightly basic.
\[\ce{CH3COO^- + H2O \rightleftharpoons CH3COOH + OH^-}\]
Since the equivalence point lies in the basic region, phenolphthalein is used as the indicator because it changes color around pH 8–10.
Example: \(\ce{NaOH + CH3COOH}\)
\[\text{M}_{\text{acid}} = \frac{\text{M}_{\text{base}} \times \text{V}_{\text{base}}}{\text{V}_{\text{acid}}}\]
We can show, using the Henderson-Hasselbach equation that, the semi-equivalence pH (the pH when half of the required base was added) is \(pH_{\text{semi}} = pK_a\)
The concentration of the weak acid is determined by direct titration using a standardized strong base and phenolphthalein indicator.
A weak base (\(B\)) reacts with hydronium ions from the strong acid to form its conjugate acid ((\BH^+\)).
\[\ce{NH3 + H3O^+ \rightarrow NH4^+ + H2O}\]
At the equivalence point, the solution is effectively the same as the one obtained by dissolving a salt of the ion \(BH^+\) in water. Because we're talking about a weak base, the solution will contain both \(BH^+\) and \(B\). This conjugate acid hydrolyzes to produce hydronium ions, making the solution slightly acidic.
\[\ce{NH4^+ + H2O \rightleftharpoons NH3 + H3O^+}\]
Because the equivalence point is acidic, methyl orange is used as the indicator. Phenolphthalein would give an inaccurate endpoint because its transition range is too basic.
Example: \(\ce{HCl + NH3}\)
\[\text{M}_{\text{base}} = \frac{\text{M}_{\text{acid}} \times \text{V}_{\text{acid}}}{\text{V}_{\text{base}}}\]
We can show, using the Henderson-Hasselbach equation that, the semi-equivalence pH (the pH when half of the required base was added) is \(pH_{\text{semi}} = pK_w - pK_b\) or \(pOH = pK_b\) or \(pH = pKa\) of the conjugate acid.
The concentration of the weak base is determined by direct titration with a standardized strong acid using methyl orange indicator.