Chapter 13, Problem 13.9P

a)

Interpretation Introduction

Interpretation:

The $\text{pH}$ of the solution has to be calculated by Davies equation.

Concept introduction:

Davies equation:

The activity coefficient $\left(\text{γ}\right)$ of ions is given by

$\begin{array}{l}\text{log}\text{γ}\text{=}\text{-}\text{0}\text{.51}{\text{z}}^{\text{2}}\left(\frac{\sqrt{\text{µ}}}{\text{1}\text{+}\text{}\sqrt{\text{µ}}}\text{-}\text{0}\text{.3}\text{µ}\right)\\ \text{where,}\\ \text{γ}\text{-}\text{activity}\text{coefficient}\text{of}\text{ion}\\ \text{z-}\text{charge}\text{of}\text{ion}\\ \text{µ}\text{-}\text{ionic}\text{strength}\end{array}$

b)

Interpretation Introduction

Interpretation:

The $\text{pH}$ of the solution has to be calculated by extended Debye-Huckel equation.

Concept Introduction:

Extended Debye-Huckel equation:

The extended Debye-Huckel equation is given for solutions with less dilution ( ${\text{5×10}}^{\text{-3}}\text{<I<0}\text{.1}$). The extended Debye-Huckel equation is,

$\text{-logγ=}\frac{{\text{-Az}}^{\text{2}}{\text{I}}^{\text{1/2}}}{\left({\text{1-aBI}}^{\text{1/2}}\right)}$

Where A and b=dielectric constants for solvent

a=effective diameter of ion