How to explain the shape of a titration curve

1.  Strong acid – strong base titrations

Imagine we are titrating a strong acid such as hydrochloric acid against a strong base such as sodium hydroxide

HCl (aq)   +     NaOH (aq)  ⇾   H2O (l)    +     NaCl (aq)

And removing the spectator ions leaves us with the ionic equation for neutralisation

H+ (aq)    +   OH (aq)    ⇾   H2O (l)

When [H+(aq)] = [OH(aq)] neutralisation is complete – this is known as the equivalence point and in the case of a titration between a strong acid and and a strong base, this will also mean we have a solution with a pH of 7.

A graph showing the change in pH during a titration is called a titration curve.

2. Weak acid – strong base titrations

For example, titrating sodium hydroxide against ethanoic acid

CH3COOH (aq)   +   NaOH (aq)     ⇾     CH3COONa+ (aq)   +    H2O (l)

Why has the first part of the curve changed?

Weak acids are not fully dissociated in solution so to begin with we have a lower [H+], a higher starting pH and the presence of both ethanoic acid molecule and ethanoate ions in an equilibrium system. 

CH3COOH (aq)  ⇌   CH3COO (aq)  +  H+ (aq)

As both the acid (HA) and the conjugate base (A) are present, the solution acts as a buffer initially when the OH ions are added. These OHions react with the H+ ions causing the equilibrium position to shift to the right, generating more H+. As a result, the H+ ion concentration and hence the pH changes very slowly at the start of the titration. 

Why is the equivalence point greater than pH7?

CH3COOH (aq)   +   NaOH (aq)     ⇾     CH3COONa+ (aq)   +    H2O (l)

At neutralisation, [H+(aq)] = [OH(aq)] and the reaction is complete, but the ethanoate ion hydrolyses / reacts with the water 

CH3COO (aq)  +  H2O (l)   ⇌    CH3COOH (aq)   +   OH (aq)

The presence of hydroxide ions means the neutralised solution (and equivalence point) is alkaline.

3. Strong acid – weak base titrations

In these titrations, the acid is added to the base …

HCl (aq)   +   NH3 (aq)  ⇾   NH4Cl (aq)

Why has the first part of the curve changed?

At the beginning of the titration pH changes more slowly as the strong acid is added (compared with a strong acid – strong base titration curve). Once again, the initial weak base solution is actually a buffer system containing the weak base and its conjugate acid.

NH3 (aq)   +    H2O (l)    ⇌    NH4+ (aq)   +   OH- (aq)

As H+ are added they react with the OH present, shifting the equilibrium position to the right: pH is maintained as the H+ concentration hardly changes. 

Why is the equivalence point lower than pH7?

The equivalence point is lower than pH7 because although once the neutralisation reaction is complete and [H+(aq)] = [OH(aq)], the ammonium chloride salt formed hydrolyses / reacts with water producing acidic H3O+ ions. 

NH4+ (aq)  +  H2O (l)  ⇌   NH3 (aq)    +   H3O+ (aq)