## Polyprotic Acid Titrations

#### Learning Objective

• Recall the general shape of a pH vs equivalents graph generated by titrating a polyprotic acid.

#### Key Points

• A diprotic acid contains two protons (H+) and can produce two hydrogen ions in solution.
• Certain types of polyprotic acids have more specific names, such as diprotic acid (two potential protons to donate) and triprotic acid (three potential protons to donate).
• Although the subsequent loss of each sequential hydrogen ion is increasingly less favorable, all of the conjugate bases are present in solution.

#### Terms

• polyproticOf an acid (or a base) that can donate (or accept) more than one proton; polybasic.
• polybasicContaining two or more replaceable hydrogen atoms.
• titrationThe determination of the concentration of some substance in a solution by slowly adding measured amounts of some other substance (normally using a burette) until a reaction is shown to be complete—for instance, by the color change of an indicator.
• monoprotic acidOne that is able to donate one hydrogen ion per molecule during the process of dissociation.

## Monoprotic Acids

Monoprotic acids are acids able to donate one proton per molecule during the process of dissociation (sometimes called ionization) as shown below (symbolized by HA):

${ HA }_{ (aq) }\quad +\quad { H }_{ 2 }{ O }_{ (l) }\quad \rightleftharpoons \quad { H }_{ 3 }{ O }_{ (aq) }^{ + }\quad +\quad { A }_{ (aq) }$

Common examples of monoprotic acids in mineral acids include hydrochloric acid (HCl) and nitric acid (HNO3). On the other hand, for organic acids the term mainly indicates the presence of one carboxylic acid group, and sometimes these acids are known as monocarboxylic acid.

## Polyprotic Acids

Polyprotic acid are able to donate more than one proton per acid molecule, in contrast to monoprotic acids that only donate one proton per molecule. Certain types of polyprotic acids have more specific names, such as diprotic acid (two potential protons to donate) and triprotic acid (three potential protons to donate).

For example, oxalic acid, also called ethanedioic acid, is diprotic, having two protons to donate.

If a dilute solution of oxalic acid were titrated with a sodium hydroxide solution, the protons would react in a stepwise neutralization reaction.

If the pH of this titration were recorded and plotted against the volume of NaOH added, a very clear picture of the stepwise neutralization emerges, with very distinct equivalence points on the titration curves.

Oxalic acid is an example of an acid able to enter into a reaction with two available protons, having different Ka values for the dissociation (ionization) of each proton.

Likewise, a triprotic system can be envisioned. Each reaction proceeds with its unique value of Ka.

An example of a triprotic acid is orthophosphoric acid (H3PO4), usually just called phosphoric acid. All three protons can be successively lost to yield H2PO4, then HPO42-, and finally PO43- the phosphate ion. Another example of a triprotic acid is citric acid, which can successively lose three protons to finally form the citrate ion.