Chapter 8, Problem 8.14P

Interpretation Introduction

Interpretation:

The activity coefficient of ${\text{SO}}_{\text{4}}^{\text{2-}}$ ion has to be calculated at $\text{50}\text{.00}{}^{\text{o}}\text{C}\text{.}$

Concept introduction:

Temperature-dependent extended Debye-Huckel equation:

The relationship between activity coefficient, temperature and the ionic strength is given by temperature-dependent extended Debye-Huckel equation.

$\begin{array}{l}\text{log}\text{γ}\text{=}\frac{\left(\text{-}\text{1}\text{.825}\text{×}{\text{10}}^{\text{6}}\right){\left(\text{εT}\right)}^{\text{-3/2}}{\text{z}}^{\text{2}}\sqrt{\text{μ}}}{\text{1}\text{+α}\sqrt{\text{μ}}\text{/}\left(\text{2}\text{.00}\sqrt{\text{εT}}\right)}\\ \text{where,}\\ \text{γ}\text{-}\text{activity}\text{coefficient}\text{of}\text{the}\text{ion}\\ \text{μ}\text{-}\text{ionic}\text{strength}\text{of}\text{the}\text{solution}\\ \text{α}\text{-}\text{size}\text{of}\text{the}\text{ion}\text{;}\text{z}\text{-}\text{charge}\text{of}\text{the}\text{ion}\text{and}\text{ε}\text{-}\text{dielectric}\text{constant}\text{.}\end{array}$