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19.3 Strengths of Acids and Bases >
1 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Chapter 19 Acids, Bases, and Salts
19.1 Acid-Base Theories
19.2 Hydrogen Ions and Acidity
19.3 Strengths of Acids and
Bases
19.4 Neutralization Reactions
19.5 Salts in Solution
19.3 Strengths of Acids and Bases >
2 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Acids and bases are classified as strong
or weak based on the degree to which
they ionize in water.
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
3 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
In general, a strong acid is completely
ionized in aqueous solution.
• Hydrochloric and sulfuric acid are examples
of strong acids.
HCl(g) + H2O(l) → H3O+(aq) + Cl–(aq)
100%
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
4 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
A weak acid ionizes only slightly in
aqueous solution.
• The ionization of ethanoic acid (CH3COOH), a
typical weak acid, is not complete.
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
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Interpret Data
19.3 Strengths of Acids and Bases >
6 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Interpret Graphs
Dissociation of an acid
(HA) in water yields
H3O+ and an anion, A–.
The bar graphs
compare the extent of
the dissociation of a
strong acid and a weak
acid.
19.3 Strengths of Acids and Bases >
7 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
A strong acid, such as hydrochloric acid,
completely dissociates in water.
• As a result, [H3O+] is high in an aqueous
solution of strong acid.
Acid Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
8 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
By contrast, weak acids remain largely
undissociated.
• In an aqueous solution of ethanoic acid, less
than 1 percent of the molecules are ionized.
Acid Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
9 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
You can use a balanced equation to write
the equilibrium-constant expression for a
reaction.
• The equilibrium-constant expression shown
below is for ethanoic acid.
Acid Dissociation Constant
Keq= [H3O
+] × [CH3COO–
] [CH3COOH] ×
[H2O]
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
10 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The acid dissociation constant (Ka) is the
ratio of the concentration of the dissociated
form of an acid to the concentration of the
undissociated form.
• The dissociated form includes both the H3O+
and the anion.
Acid Dissociation Constant
Strong and Weak
Acids and Bases
Keq × [H2O] = Ka
=
[H3O+] × [CH3COO–]
[CH3COOH] × [H2O]
19.3 Strengths of Acids and Bases >
11 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The acid dissociation constant (Ka) reflects
the fraction of an acid that is ionized.
• For this reason, dissociation constants are
sometimes called ionization constants.
Acid Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
12 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
If the degree of dissociation or ionization of
the acid is small, the value of the
dissociation constant will be small.
• Weak acids have small Ka values.
• If the degree of ionization of an acid is more
complete, the value of Ka will be larger.
• The stronger an acid is, the larger its Ka
value will be.
Acid Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
13 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Nitrous acid (HNO2) has a Ka of 4.4 × 10−4,
and ethanoic acid (CH3COOH) has a Ka of
1.8 × 10−5.
• Which one is stronger?
Acid Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
14 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Strong and Weak
Acids and Bases
•Nitrous acid is stronger
Answer
19.3 Strengths of Acids and Bases >
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Interpret Data
19.3 Strengths of Acids and Bases >
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Some acids have more than one
dissociation constant because they have
more than one ionizable hydrogen.
Acid Dissociation Constant
Strong and Weak
Acids and Bases
• Oxalic acid is a diprotic acid.
– It loses two hydrogens, one at a time.
– Therefore, it has two dissociation
constants.
– Oxalic acid is found naturally in certain
herbs and vegetables.
19.3 Strengths of Acids and Bases >
17 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Observe what happens to the Ka with each
ionization.
– The Ka decreases from first ionization to second.
– It decreases again from second ionization to third.
Acid Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
18 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
To calculate the acid dissociation constant
(Ka) of a weak acid, you need to know the
initial molar concentration of the acid and the
[H+] (or alternatively, the pH) of the solution
at equilibrium.
• You can use these data to find the equilibrium
concentrations of the acid and the ions.
• These values are then substituted into the
expression for Ka.
Calculating Dissociation Constants
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
19 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
You can find the Ka of an acid in water by
substituting the equilibrium concentrations
of the acid, [HA], the anion from the
dissociation of the acid, [A−], and the
hydrogen ion, [H+], into the equation below.
Calculating Dissociation Constants
Ka =
[H+][A−]
[HA]
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
20 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Sample Problem 19.6
Calculating a Dissociation Constant
In a 0.1000M solution of ethanoic
acid, [H+] = 1.34 × 10−3M.
Calculate the Ka of this acid. Refer
to the table for the ionization
equation for ethanoic acid.
19.3 Strengths of Acids and Bases >
21 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
KNOWNS
[ethanoic acid] = 0.1000M
[H+] = 1.34 × 10−3M
UNKNOWN
Ka = ?
Analyze List the knowns and the unknown. 1
Sample Problem 19.6
19.3 Strengths of Acids and Bases >
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Calculate Solve for the unknown. 2
Start by determining the equilibrium
concentration of the ions.
[H+] = [CH3COO−] = 1.34 × 10−3M
Each molecule of CH3COOH
that ionizes gives an H+ ion
and a CH3COO– ion.
Sample Problem 19.6
19.3 Strengths of Acids and Bases >
23 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Calculate Solve for the unknown. 2
Determine the equilibrium
concentrations of each component.
(0.1000 – 0.00134)M = 0.0987M
Concentration [CH3COOH] [H+] [CH3COO−]
Initial 0.1000 0 0
Change −1.34 × 10−3 1.34 × 10−3 1.34 × 10−3
Equilibrium 0.0987 1.34 × 10−3 1.34 × 10−3
Sample Problem 19.6
19.3 Strengths of Acids and Bases >
24 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Calculate Solve for the unknown. 2
Substitute the equilibrium values into the
expression for Ka.
Ka =
[H+] × [CH3COO–]
[CH3COOH] =
(1.34 × 10−3M) × (1.34 × 10−3M)
0.0987
= 1.82 × 10−5
Sample Problem 19.6
19.3 Strengths of Acids and Bases >
25 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Evaluate Does the result make sense? 3
The calculated value of Ka is consistent
with that of a weak acid.
Sample Problem 19.6
19.3 Strengths of Acids and Bases >
26 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Just as there are strong acids and weak
acids, there are strong bases and weak
bases.
Base Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
27 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Just as there are strong acids and weak
acids, there are strong bases and weak
bases.
• A strong base dissociates completely into
metal ions and hydroxide ions in aqueous
solution.
Base Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
28 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Just as there are strong acids and weak
acids, there are strong bases and weak
bases.
• A strong base dissociates completely into
metal ions and hydroxide ions in aqueous
solution.
• A weak base reacts with water to form the
conjugate acid of the base and hydroxide ions.
Base Dissociation Constant
Strong and Weak
Acids and Bases
– For a weak base, the amount of dissociation is
relatively small.
19.3 Strengths of Acids and Bases >
29 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Ammonia is an example
of a weak base.
• Window cleaners often
use a solution of
ammonia in water to
clean glass.
Strong and Weak
Acids and Bases
Base Dissociation Constant
NH3(aq) + H2O(l) NH4+(aq) + OH–(aq)
Ammonia Water Ammonium
ion
Hydroxide
ion
19.3 Strengths of Acids and Bases >
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When equilibrium is established, only
about 1 percent of the ammonia is present
as NH4+.
• This ion is the conjugate acid of NH3.
• The concentrations of NH4+ and OH− are
low and equal.
Base Dissociation Constant
Strong and Weak
Acids and Bases
NH3(aq) + H2O(l) NH4+(aq) + OH–(aq)
Ammonia Water Ammonium
ion
Hydroxide
ion
19.3 Strengths of Acids and Bases >
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The equilibrium-constant expression for
the dissociation of ammonia in water is as
follows:
Base Dissociation Constant
Keq = [NH4
+] × [OH−]
[NH3] × [H2O]
Strong and Weak
Acids and Bases
NH3(aq) + H2O(l) NH4+(aq) + OH–(aq)
Ammonia Water Ammonium
ion
Hydroxide
ion
19.3 Strengths of Acids and Bases >
32 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Recall that the concentration of water is
constant in dilute solutions.
Base Dissociation Constant
Keq × [H2O] = Kb
=
[NH4+] × [OH−]
[NH3]
Strong and Weak
Acids and Bases
• This constant can be combined with the Keq for
ammonia to give a base dissociation constant
(Kb) for ammonia.
19.3 Strengths of Acids and Bases >
33 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The base dissociation constant (Kb) is
the ratio of the concentration of the
conjugate acid times the concentration of
the hydroxide ion to the concentration of
the base.
Base Dissociation Constant
Kb = [conjugate acid] × [OH−]
[base]
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
34 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The magnitude of Kb indicates the ability of
a weak base to compete with the very
strong base OH– for hydrogen ions.
Base Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
35 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The magnitude of Kb indicates the ability of
a weak base to compete with the very
strong base OH– for hydrogen ions.
• Because bases such as ammonia are weak
relative to the hydroxide ion, the Kb for such
a base is usually small.
– The Kb for ammonia is 1.8 × 10−5.
Base Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
36 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The magnitude of Kb indicates the ability of
a weak base to compete with the very
strong base OH– for hydrogen ions.
• Because bases such as ammonia are weak
relative to the hydroxide ion, the Kb for such
a base is usually small.
– The Kb for ammonia is 1.8 × 10−5.
– The smaller the value of Kb, the weaker the
base.
Base Dissociation Constant
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
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Sometimes people confuse the concepts
of concentration and strength.
• The words concentrated and dilute indicate
how much of an acid or base is dissolved in
solution.
– These terms refer to the number of moles of the
acid or base in a given volume.
• The words strong and weak refer to the
extent of ionization or dissociation of an acid
or base.
Concentration Versus Strength
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
38 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The table below shows four possible combinations
of concentration and strength for acids.
Concentration Versus Strength
Comparing Concentration and Strength of Acids
Acidic solution
Concentration
Strength Quantitative (or Molar) Relative
Hydrochloric acid 12M HCl Concentrated Strong
Gastric juice 0.8M HCl Dilute Strong
Ethanoic acid 17M CH3COOH Concentrated Weak
Vinegar 0.2M CH3COOH Dilute Weak
Interpret Data
19.3 Strengths of Acids and Bases >
39 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The gastric juice in your stomach is a
dilute solution of HCl.
Concentration Versus Strength
Strong and Weak
Acids and Bases
• The relatively small number of HCl molecules
in a given volume of gastric juice are all
dissociated into ions.
• Even when concentrated hydrochloric acid is
diluted with water, it is still a strong acid.
19.3 Strengths of Acids and Bases >
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Conversely, ethanoic acid (acetic acid) is a
weak acid because it ionizes only slightly
in solution.
• Vinegar is a dilute solution of ethanoic acid.
• Even at a high concentration, ethanoic acid
is still a weak acid.
Concentration Versus Strength
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
41 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
The same concepts apply to bases.
• A solution of ammonia can be either dilute
or concentrated.
• However, in any solution of ammonia, the
relative amount of ionization will be small.
• Thus, ammonia is a weak base at any
concentration.
• Likewise, sodium hydroxide is a strong base
at any concentration.
Concentration Versus Strength
Strong and Weak
Acids and Bases
19.3 Strengths of Acids and Bases >
42 Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
Key Concept &
Key Equation
Acids and bases are classified as
strong or weak based on the degree to
which they ionize in water.
Ka =
[H+][A−]
[HA]
19.3 Strengths of Acids and Bases >
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Example problem 1
19.3 Strengths of Acids and Bases >
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Example problem 2