Chapter 16, Problem 128SCQ

### 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

# Exploring the degree of ionization equation in Study Question 127:Calculate the degree of ionization, α, for formic add at the following concentrations: 0.0100 M, 0.0200 M, 0.0400 M, 0.100 M, 0.200 M, 0.400 M, 1.00 M, 2.00 M, and 4.00 M. (a) Plot the results of the calculation as α versus formic add concentration. Is there a linear relationship? If not, try plotting the logarithm of C0 versus α. (b) What can you conclude about the relationship of the degree of ionization and the initial acid or base concentration?

(a)

Interpretation Introduction

Interpretation: To calculate the values of the degree of dissociation for formic acid and plot degree of dissociation against concentration. Also plot logarithm of concentration versus degree of dissociation.

Concept introduction: Degree of dissociation for formic acid is calculated from the relation of the degree of dissociation and concentration given below:

K=(Cο)(α2)(1-α)

A graph of degree of dissociation versus concentration of acid is plotted.

The logarithm of concentration versus degree of dissociation graph is plotted.

Explanation

Given data:

Various Concentration of formic acid: 0.0100M, 0.0200M,0.0400M,0.100M ,0.200M ,0.400M ,1.00M ,2.00M and 4.00M

The value of acid ionization constant for formic acid:

Ka=1.8Ã—10âˆ’4

Values of the degree of dissociation for various concentrations is calculated.

The expression used for calculation is

K=(CÎ¿)(Î±2)(1-Î±)

From the above expression, If acid or base is weak then Î±â‰ª1.

Write the value of the degree of dissociation as:Î±=KaCÎ¿. From this expression, different values of the degree of dissociation are calculated.

Table for the degree of dissociation and concentration is given below:

Î±0.0100M0.0200M0.0400M0.100M0.200M0.400M1.00M2.00M4.00MCÎ¿0

(b)

Interpretation Introduction

Interpretation:

Relationship of the degree of dissociation and initial concentration of an acid or a base has to be determined.

Concept introduction: Degree of dissociation for formic acid is calculated from the relation of the degree of dissociation and concentration given below:

K=(Cο)(α2)(1-α)

A graph of degree of dissociation versus concentration of acid is plotted.

The logarithm of concentration versus degree of dissociation graph is plotted.

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