Chapter 12, Problem 12.12P

(a)

Interpretation Introduction

Interpretation:

Activity coefficient of ${\text{H}}^{+}$  ion has to be calculated by method of interpolation when value of $\text{μ}$ is $\text{0}\text{.030 M}$.

Concept Introduction:

Extended Debye Huckel law quantifies activity coefficient in terms of ionic strength and hydrated size as follows:

  $\log \text{γ}=\frac{-0.51z^2\sqrt{\text{μ}}}{1+\left(\text{α}\sqrt{\text{μ}}\text{/}305\right)}$

Here

$z$ denotes charge.

$\text{μ}$ denotes ionic strength.

$\text{γ}$ denotes activity coefficient.

$\text{α}$ denotes ionic size.

Expression for linear interpolation is given as follows:

  $\frac{\text{unknown γ interval}}{\Delta \text{γ}}=\frac{\text{unknown μ interval}}{\Delta \text{μ}}$

(b)

Interpretation Introduction

Interpretation:

Activity coefficient of ${\text{Zn}}^{2+}$ ion has to be calculated by method of interpolation while value of $\text{μ}$ is $\text{0}\text{.042 M}$.

Concept Introduction:

Refer to part (a).