Chapter 1, Problem 13P

Interpretation Introduction

Interpretation:

The pH of the resultant HCl solution needs to be calculated.

Concept introduction:

When a solution is diluted, the molarity of solution changes according to the dilution law which is mathematically represented as follows:

${\text{M}}_{\text{1}}{\text{V}}_{\text{1}}={\text{M}}_{\text{2}}{\text{V}}_{\text{2}}$

Here, $M_1$ is the initial molarity, $M_2$ is the final molarity, $V_1$ is the initial volume and $V_2$ is the final volume of the solution.

A strong acid dissociates completely into hydrogen ion and conjugate base as follows:

$\text{HA}\to {\text{H}}^{+}+{\text{A}}^{-}$

Thus, the concentration of hydrogen ion will be same as that of acid.

From the hydrogen ion concentration, the pH of the solution can be calculated as follows:

$\text{pH}=-\log \left[{\text{H}}^{+}\right]$

Here, $\left[{\text{H}}^{+}\right]$ is the concentration of hydrogen ion.