D16.2 Autoionization of Water

H2O is the base of its conjugate acid H3O+, and H2O is also the acid of its conjugate base OH. (However, H3O+ is not the conjugate acid of OH; these two species are not a conjugate acid-base pair because their structures do not differ by a single H+.)

Hence, H2O can react as an acid or a base depending on the other species involved in the reaction. In pure water, H2O acts as both acid and base—a very small fraction of water molecules donate protons to other water molecules:

This type of reaction, in which a substance ionizes when one molecule of the substance reacts with another molecule of the same substance, is referred to as autoionization.

Pure water undergoes autoionization to a very slight extent at 25 °C. The equilibrium concentrations of H3O+ and OH give an autoionization constant for water, Kw = 1.0 × 10−14 at 25 °C.

H2O(ℓ) + H2O(ℓ) ⇌ H3O+(aq) + OH(aq)         Kw = [H3O+][OH] = 1.0 × 10−14 at 25 °C

Because it is the mathematical product of concentrations of two ions, it is also called the ion-product constant for water.

Activity: Autoionization of Water

Consider the autoionization of water

H2O(ℓ) + H2O(ℓ) ⇌ H3O+(aq) + OH(aq)

Kw = [H3O+][OH] = 1.0 × 10−14 at 25 °C;  ΔrH° = 55.8 kJ/mol

Suppose you needed to predict quantitatively how big Kw is at 100 °C. Write in your notebook the way you would make the quantitative prediction (don’t actually calculate, just describe how you would solve the problem).

Write in your notebook, then left-click here for an explanation.

You know Kw and ΔrH° at 25 °C. To make a quantitative prediction for Kw at 100 °C, use the van’t Hoff equation:

 \ln\left(\dfrac{K_2^{\circ}}{K_1^{\circ}}\right) = -\dfrac{{\Delta}_{\text{r}}H^{\circ}}{R}\left(\dfrac{1}{T_2} - \dfrac{1}{T_1}\right)

Exercise: Autoionization of Water

Water is an example of an amphiprotic chemical species, a molecule that can either gain a proton or lose a proton in a Brønsted-Lowry acid-base reaction. Amphiprotic species are also amphoteric, a more general term for a species that may act either as an acid or a base by any definition (not just the Brønsted-Lowry definition). For example, the bicarbonate ion is also amphoteric:

HCO3(aq) + H2O(ℓ) ⇌ CO32-(aq) + H3O+(aq)
HCO3(aq) + H2O(ℓ) ⇌ H2CO3(aq) + OH(aq)

 

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Chem 104 Summer 2024 Copyright © by Jia Zhou; John Moore; and Etienne Garand is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.