Chapter 18, Problem 18.109P

(a)

Interpretation Introduction

Interpretation:

The ${\text{pK}}_{\text{b}}$ of ${\text{ClO}}_2^{-}$ ion has to be calculated.

Concept introduction:

The ${\text{K}}_a$ and ${\text{K}}_{\text{b}}$ value is calculating by using following formula,

  ${\text{K}}_{\text{w}}{\text{ = K}}_{\text{a}}{\text{ × K}}_{\text{b}}$

The base - dissociation constant can be expressed as ${\text{pK}}_{\text{b}}$ values,

  $\begin{array}{l}{\text{pK}}_{\text{b}}{\text{ = -log K}}_{\text{b}}\text{ and}\\ {\text{10}}^{{\text{ - pK}}_{\text{b}}}{\text{ = K}}_{\text{b }}\end{array}$

(b)

Interpretation Introduction

Interpretation:

The ${\text{pK}}_a$ of dimethyl ammonium ion (${{\text{(CH}}_{\text{3}}\text{)}}_{\text{2}}{\text{NH}}_2^{+}$) has to be calculated.

Concept introduction:

The ${\text{K}}_a$ and ${\text{K}}_{\text{b}}$ value is calculating by using following formula,

  ${\text{K}}_{\text{w}}{\text{ = K}}_{\text{a}}{\text{ × K}}_{\text{b}}$

The acid-dissociation constant can be expressed as ${\text{pK}}_a$ values,

  $\begin{array}{l}{\text{pK}}_a{\text{ = -log K}}_a\text{ and}\\ {\text{10}}^{{\text{ - pK}}_a}{\text{ = K}}_{\text{a }}\end{array}$