Chapter 16, Problem 118SAE

Interpretation Introduction

Interpretation:

Volume of water required to dilute an acetic acid solution to produce $12.5\text{ L}$ solution of $\text{pH}=\text{3}\text{.25}$ should be calculated.

Concept introduction:

$\text{pH}$ is defined as negative logarithm of ${\text{H}}_{\text{3}}{\text{O}}^{+}$ ions concentration.

Mathematically,

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

The expression to calculate hydronium ion concentration is,

$\left[{\text{H}}_{\text{3}}{\text{O}}^{+}\right]={10}^{-\text{pH}}$

The formula to calculate the number of moles is calculated as,

$\text{Number of moles}=\frac{\text{given mass}\left(\text{g}\right)}{\text{molar mass}\left(\text{g/mol}\right)}$

The formula to calculate molarity is,

$\text{Molarity}=\frac{\text{number of moles}}{\text{volume}\left(\text{L}\right)}$