Chapter 16, Problem 127SCQ

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# Chemists often refer to the decree of ionization of a weak acid or base and give it the symbol α. The equilibrium constant in terms of α and C0, the initial acid or base concentration, is given by the useful equation K − α 2 C 0 ( 1 − α ) As an example, the degree of ionization for 0.010 M acetic acid is 0.0103. (a) Show how we can arrive at the general equation given above. (b) Calculate the degree of ionization for the ammonium ion in 0.10 M NH4Cl.

(a)

Interpretation Introduction

Interpretation:

The relationship between the degree of ionization of weak base or weak acid and equilibrium constant and initial concentration of acid or base has to be determined.

Concept Introduction:

Degree of ionization of a weak acid or weak base can be determined by writing the equilibrium concentration of all species involved in the equilibrium.

From the relationship of the equilibrium constant, the degree of ionization and initial concentration, the value of the degree of ionization of ammonium ion can be determined.

Explanation

For a weak acid HA;

EquilibriumHA+H2Oâ‡„Aâˆ’(aq)+H3O+(aq)Initial(M)CÎ¿00Change(M)âˆ’Î±CÎ¿+Î±CÎ¿+Î±CÎ¿Equilibrium(M)CÎ¿âˆ’Î±Cx

(b)

Interpretation Introduction

Interpretation:

The degree of ionization for weak acid ammonium ion has to be calculated.

Concept Introduction:

Degree of ionization of a weak acid or weak base can be determined by writing the equilibrium concentration of all species involved in the equilibrium.

From the relationship of the equilibrium constant, the degree of ionization and initial concentration, the value of the degree of ionization of ammonium ion can be determined.

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