Chapter 16, Problem 102IAE

Interpretation Introduction

Interpretation:

The claim that self-ionization of water contributes less than 1% of the total concentration of hydronium ion in the solution needs to be verified for $1.0\times {10}^{-6}\text{ M}$ HCl (aq).

Concept introduction:

The reaction showing self ionization of water is represented as follows:

${\text{H}}_{\text{2}}\text{O}\left(l\right)+{\text{H}}_{\text{2}}\text{O}\left(l\right)\rightleftharpoons {\text{H}}_{\text{3}}{\text{O}}^{+}\left(aq\right)+{\mathrm{OH}}^{-}\left(aq\right)$

Here, water can also act as an acid as well as a base. It gets self ionize to from hydronium and hydroxide ions.

From the above equation, the ionic product of water can be calculated as follows:

$K_w=\left[{\text{H}}_{\text{3}}{\text{O}}^{+}\right]\left[{\text{OH}}^{-}\right]$

Here, $\left[{\text{H}}_{\text{3}}{\text{O}}^{+}\right]\text{ and }\left[{\text{OH}}^{-}\right]$ is hydronium and hydroxide ion concentration respectively.