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Title: THE CHEMISTRY OF ACIDS AND BASES


1
CHAPTER 14
  • THE CHEMISTRY OF ACIDS AND BASES

2
"ACID"
  • Latin word acidus, meaning sour.
  • (lemon)

3
"ALKALI"
  • Arabic word for the ashes that come
  • from burning certain plants.
  • Water solutions feel slippery and
  • taste bitter (soap).

4
  • Acids and bases are extremely
  • important in many everyday
  • applications our own bloodstream,
  • our environment, cleaning materials,
  • industry.
  • (sulfuric acid is an economic indicator!)

5
ACID-BASE THEORIES
6
Arrhenius Definition
  • acid--donates a hydrogen ion (H) in water
  • base--donates a hydroxide ion in water (OH-)
  • This theory was limited to
  • substances with those "parts"
  • ammonia is a MAJOR exception!

7
Bronsted-Lowry Definition
  • acid--donates a proton in water
  • base--accepts a proton in water
  • This theory is better it explains
  • ammonia as a base! This is the main
  • theory that we will use for our
  • acid/base discussion.

8
Lewis Definition
  • acid--accepts an electron pair
  • base--donates an electron pair
  • This theory explains all traditional
  • acids and bases a host of
  • coordination compounds and is used
  • widely in organic chemistry. Uses
  • coordinate covalent bonds

9
The Bronsted-Lowry Concept of Acids and Bases
  • Using this theory, you should be
  • able to write weak acid/base
  • dissociation equations and identify
  • acid, base, conjugate acid and
  • conjugate base.

10
Conjugate Acid-Base Pair
  • A pair of compounds that differ
  • by the presence of one H unit.
  • This idea is critical when it comes
  • to understanding buffer systems.
  • Pay close attention here!

11
Acids
  • donate a proton (H)

12
Neutral Compound
  • HNO3 H2O ? H3O NO3-
  • acid base CA CB

13
Cation
  • NH4 H2O ? H3O NH3
  • acid base CA CB

14
Anion
  • H2PO4- H20 ? H3O HPO42-
  • acid base CA CB

15
  • In each of the acid examples---notice
  • the formation of H3O
  • This species is named the hydronium
  • ion.
  • It lets you know that the solution is
  • acidic!

16
Hydronium, H3O
  • --H riding piggy-back on a water
  • molecule.
  • Water is polar and the charge of the
  • naked proton is greatly attracted to
  • Mickey's chin!)

17
Bases
  • accept a proton (H)

18
Neutral Compound
  • NH3 H2O ? NH4 OH-
  • base acid CA CB

19
Anion
  • CO32- H2O ? HCO3- OH-
  • base acid CA CB

20
Anion
  • PO43- H2O ? HPO42- OH-
  • base acid CA CB

21
  • In each of the basic examples--
  • notice the formation of OH- -- this
  • species is named the hydroxide
  • ion. It lets you know that the
  • solution is basic!
  • You try!!

22
Exercise 1
  • In the following reaction, identify
  • the acid on the left and its CB on
  • the right. Similarly identify the base
  • on the left and its CA on the right.
  • HBr NH3 ? NH4 Br-

23
  • What is the conjugate base of H2S?
  • What is the conjugate acid of NO3-?

24
  • ACIDS ONLY DONATE
  • ONE PROTON AT A
  • TIME!!!

25
  • monoprotic--acids donating one H (ex. HC2H3O2)
  • diprotic--acids donating two H's (ex. H2C2O4)
  • polyprotic--acids donating many H's (ex. H3PO4)

26
Polyprotic Bases
  • accept more than one H
  • anions with -2 and -3 charges
  • (example PO43- HPO42-)

27
Amphiprotic or Amphoteric
  • molecules or ions that can behave as
  • EITHER acids or bases
  • water, anions of weak acids
  • (look at the examples abovesometimes
  • water was an acid, sometimes it acted as
  • a base)

28
Exercise 2 Acid Dissociation (Ionization)
Reactions
  • Write the simple dissociation
  • (ionization) reaction (omitting
  • water) for each of the following
  • acids.

29
  • a. Hydrochloric acid (HCl)
  • b. Acetic acid (HC2H3O2)
  • c. The ammonium ion (NH4)
  • d. The anilinium ion (C6H5NH3)
  • e. The hydrated aluminum(III) ion
  • Al(H2O)63

30
Solution
  • A HCl(aq) ? H(aq) Cl-(aq)
  • B HC2H3O2(aq) ?
  • H(aq) C2H3O2-(aq)
  • C NH4(aq) ? H(aq) NH3(aq)

31
Solution, cont.
  • D C6H5NH3(aq) ? H(aq) C6H5NH2(aq)
  • E Al(H2O)63(aq) ?
  • H(aq) Al(H2O)5OH2(aq)

32
Relative Strengths of Acids and Bases
  • Strength is determined by the
  • position of the "dissociation"
  • equilibrium.

33
Strong acids/Strong bases
  • dissociate completely in water
  • have very large K values

34
Weak acids/Weak bases
  • dissociate only to a slight extent in
  • water
  • dissociation constant is very small

35
Strong
Weak
36
  • Do Not
  • confuse concentration
  • with strength!

37
Strong Acids
  • Hydrohalic acids
  • HCl, HBr, HI
  • Nitric HNO3
  • Sulfuric H2SO4
  • Perchloric HClO4

38
The more oxygen present in the polyatomic ion,
the stronger its acid WITHIN that group.
39
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40
Strong Bases
  • Hydroxides OR oxides of IA and
  • IIA metals
  • Solubility plays a role (those that
  • are very soluble are strong!)

41
The stronger the acid, the weaker its CB. The
converse is also true.
42
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43
Weak Acids and Bases - Equilibrium
expressions
  • The vast majority of acid/bases are
  • weak.
  • Remember, this means they do not
  • ionize much.

44
  • The equilibrium expression for acids
  • is known as the Ka (the acid
  • dissociation constant).
  • It is set up the same way as in
  • general equilibrium.

45
  • Many common weak acids are
  • oxyacids,
  • like phosphoric acid and
  • nitrous acid.

46
Other common weak acids are organic acids,those
that contain a carboxyl group COOH group
like acetic acid and benzoic acid.
47
For Weak Acid Reactions
  • HA H2O ? H3O A-
  • Ka H3OA- lt 1
  • HA

48
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49
  • Write the Ka expression for acetic
  • acid using Bronsted-Lowry.
  • (Note Water is a pure liquid and
  • is thus, left out of the equilibrium
  • expression.)

50
  • Weak bases (bases without OH-)
  • react with water to produce a
  • hydroxide ion.

51
  • Common examples of weak bases are
  • ammonia (NH3), methylamine
  • (CH3NH2), and ethylamine (C2H5NH2).
  • The lone pair on N forms a bond with
  • an H. Most weak bases involve N.

52
  • The equilibrium expression for
  • bases is known as the Kb.

53
For Weak Base Reactions
  • B H2O ? HB OH-
  • Kb H3OOH- lt1
  • B

54
  • Set up the Kb expression for
  • ammonia using Bronsted-Lowry.

55
  • Notice that Ka and Kb expressions
  • look very similar.
  • The difference is that a base
  • produces the hydroxide ion in
  • solution, while the acid produces the
  • hydronium ion in solution.

56
Another note on this point
  • H and H3O are both equivalent
  • terms here. Often water is left
  • completely out of the equation since
  • it does not appear in the equilibrium.
  • This has become an accepted
  • practice.
  • (However, water is very important
  • in causing the acid to dissociate.)

57
Exercise 3 Relative Base Strength
  • Using table 14.2, arrange the
  • following species according to their
  • strength as bases
  • H2O, F-, Cl-, NO2-, and CN-

58
Solution
  • Cl- lt H2O lt F- lt NO2- lt CN-

59
  • WATER
  • THE HYDRONIUM ION
  • AUTO-IONIZATION
  • THE pH SCALE

60
  • Fredrich Kohlrausch, around
  • 1900, found that no matter how
  • pure water is, it still conducts a
  • minute amount of electric
  • current. This proves that water
  • self-ionizes.

61
  • Since the water molecule is
  • amphoteric, it may dissociate
  • with itself to a slight extent.
  • Only about 2 out of a billion
  • water molecules are ionized at
  • any instant!

62
H2O(l) H2O(l) ltgt H3O(aq) OH-(aq)
  • The equilibrium expression used
  • here is referred to as the Kw
  • (ionization constant for water).

63
  • In pure water or dilute aqueous
  • solutions, the concentration of water
  • can be considered to be a constant
  • (55.4 M), so we include that with the
  • equilibrium constant and write the
  • expression as
  • KeqH2O2 Kw H3OOH-

64
  • Kw 1.0 x 10-14
  • (Kw 1.008 x 10-14 _at_ 25 Celsius)
  • Knowing this value allows us to
  • calculate the OH- and H
  • concentration for various situations.

65
  • OH- H solution is neutral (in
  • pure water, each of these is 1.0 x 10-7)
  • OH- gt H solution is basic
  • OH- lt H solution is acidic

66
Kw Ka x Kb
  • another very beneficial equation

67
Exercise 5 Autoionization of Water
  • At 60C, the value of Kw is 1 X 10-13.
  • a. Using Le Chateliers principle,
  • predict whether the reaction
  • 2H2O(l) ? H3O(aq) OH-(aq)
  • is exothermic or endothermic.

68
Exercise 5, cont.
  • b. Calculate H and OH- in a
  • neutral solution at 60C.

69
Solution
  • A endothermic
  • B H OH- 3 X 10-7 M

70
The pH Scale
Used to designate the H in most aqueous
solutions where H is small.
71
  • pH - log H
  • pOH - log OH-
  • pH pOH 14
  • pH 6.9 and lower (acidic)
  • 7.0 (neutral)
  • 7.1 and greater (basic)

72
  • Use as many decimal places as
  • there are sig.figs. in the problem!
  • The negative base 10 logarithm of
  • the hydronium ion concentration
  • becomes the whole number
  • therefore, only the decimals to the
  • right are significant.

73
Exercise 6 Calculating H and OH-
  • Calculate H or OH- as required for
  • each of the following solutions at
  • 25C, and state whether the solution
  • is neutral, acidic, or basic.
  • a. 1.0 X 10-5 M OH-
  • b. 1.0 X 10-7 M OH-
  • c. 10.0 M H

74
Solution
  • A H 1.0 X 10-9 M, basic
  • B H 1.0 X 10-7 M, neutral
  • C OH- 1.0 X 10-15 M, acidic

75
Exercise 7 Calculating pH and pOH
  • Calculate pH and pOH for each of
  • the following solutions at 25C.
  • a. 1.0 X 10-3 M OH-
  • b. 1.0 M H

76
Solution
  • A pH 11.00
  • pOH 3.00
  • B pH 0.00
  • pOH 14.00

77
Exercise 8 Calculating pH
  • The pH of a sample of human blood
  • was measured to be 7.41 at 25C.
  • Calculate pOH, H, and OH- for
  • the sample.

78
Solution
  • pOH 6.59
  • H 3.9 X 10-8
  • OH- 2.6 X 10-7 M

79
Exercise 9 pH of Strong Acids
  • Calculate the pH of
  • a. 0.10 M HNO3
  • b. 1.0 X 10-10 M HCl

80
Solution
  • A pH 1.00
  • B pH 7.00

81
Exercise 10 The pH of Strong Bases
  • Calculate the pH of a 5.0 X 10-2 M
  • NaOH solution.

82
Solution
  • pH 12.70

83
Calculating pH of Weak Acid Solutions
  • Calculating pH of weak acids
  • involves setting up an equilibrium.

84
Always start by
  • 1) writing the equation
  • 2) setting up the acid equilibrium
  • expression (Ka)
  • 3) defining initial concentrations, changes, and
    final concentrations in terms of X

85
  • 4) substituting values and variables
  • into the Ka expression
  • 5) solving for X
  • (use the RICE diagram learned in
  • general equilibrium!)

86
Example
  • Calculate the pH of a 1.00 x 10-4 M
  • solution of acetic acid.

87
  • The Ka of acetic acid is 1.8 x 10-5
  • HC2H3O2 ? H C2H3O2-
  • Ka HC2H3O2- 1.8 x 10-5
  • HC2H3O2

88
  • Reaction HC2H3O2 ? H C2H3O2-
  • Initial 1.00 x 10-4 0
    0
  • Change -x x
    x
  • Equilibrium 1.00 x 10-4 - x x x

89
Often, the -x in a Ka expression can be treated
as negligible.
  • 1.8 x 10-5 (x)(x) _
  • 1.00x10-4 - x

  • 1.8 x 10-5 ? (x)(x) _
  • 1.00 x 10-4
  • x 4.2 x 10-5

90
  • When you assume that x is
  • negligible, you must check the
  • validity of this assumption.

91
  • To be valid, x must be less than
  • 5 of the number that it was to be
  • subtracted from.
  • dissociation "x" x 100
  • original

92
  • In this example, 4.2 x 10-5 is greater
  • than 5 of 1.00 x 10-4.
  • This means that the assumption that
  • x was negligible was invalid and x
  • must be solved for using the
  • quadratic equation or the method of
  • successive approximation.

93
Use of the Quadratic Equation
94
ax2 bx c 0
95
Using the values a 1, b 1.8x10-5, c
-1.8x10-9
and
96
Since a concentration can not be negative
  • x 3.5 x 10-5 M
  • x H 3.5 x 10-5
  • pH -log 3.5 x 10-5 4.46

97
  • Another method which some people
  • prefer is the method of successive
  • approximations. In this method, you
  • start out assuming that x is
  • negligible, solve for x, and repeatedly
  • plug your value of x into the
  • equation again until you get the
  • same value of x two successive times.

98
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99
Exercise 11 The pH of Weak Acids
  • The hypochlorite ion (OCl-) is a
  • strong oxidizing agent often found
  • in household bleaches and
  • disinfectants. It is also the active
  • ingredient that forms when
  • swimming pool water is treated with
  • chlorine.

100
  • In addition to its oxidizing abilities,
  • the hypochlorite ion has a relatively
  • high affinity for protons (it is a
  • much stronger base than Cl-, for
  • example) and forms the weakly
  • acidic hypochlorous acid (HOCl,
  • Ka 3.5 X 10-8).

101
  • Calculate the pH of a 0.100 M
  • aqueous solution of hypochlorous
  • acid.

102
Solution
  • pH 4.23

103
Determination of the pH of a Mixture of Weak Acids
  • Only the acid with the largest Ka
  • value will contribute an appreciable
  • H.
  • Determine the pH based on
  • this acid and ignore any others.

104
Exercise 12 The pH of Weak Acid Mixtures
  • Calculate the pH of a solution that
  • contains
  • 1.00 M HCN (Ka 6.2 X 10-10) and
  • 5.00 M HNO2 (Ka 4.0 X 10-4).

105
Exercise 12, cont.
  • Also, calculate the concentration of
  • cyanide ion (CN-) in this solution at
  • equilibrium.

106
Solution
  • pH 1.35
  • CN- 1.4 X 10-8 M

107
Exercise 13 Calculating Percent Dissociation
  • Calculate the percent dissociation of
  • acetic acid (Ka 1.8 X 10-5) in
  • each of the following solutions.
  • a. 1.00 M HC2H3O2
  • b. 0.100 M HC2H3O2

108
Solution
  • A 0.42
  • B 1.3

109
Exercise 14 Calculating Ka from Percent
Dissociation
  • Lactic acid (HC3H5O3) is a waste
  • product that accumulates in muscle
  • tissue during exertion, leading to
  • pain and a feeling of fatigue.

110
Exercise 14, cont.
  • In a 0.100 M aqueous solution,
  • lactic acid is 3.7 dissociated.
  • Calculate the value of Ka for this
  • acid.

111
Solution
  • Ka 1.4 X 10-4

112
  • Determination of the pH of a weak
  • base is very similar to the
  • determination of the pH of a weak
  • acid.
  • Follow the same steps.

113
  • Remember, however, that x is the
  • OH- and taking the negative log
  • of x will give you the pOH and not
  • the pH!

114
Exercise 15 The pH of Weak Bases I
  • Calculate the pH for a 15.0 M
  • solution of NH3 (Kb 1.8 X 10-5).

115
Solution
  • pH 12.20

116
Exercise 16 The pH of Weak Bases II
  • Calculate the pH of a 1.0 M solution
  • of methylamine (Kb 4.38 X 10-4).

117
Solution
  • pH 12.32

118
Calculating pH of polyprotic acids
  • Acids with more than one ionizable
  • hydrogen will ionize in steps.
  • Each dissociation has its own Ka
  • value.

119
  • The first dissociation will be the
  • greatest and subsequent
  • dissociations will have much
  • smaller equilibrium constants.

120
  • As each H is removed, the
  • remaining acid gets weaker and
  • therefore has a smaller Ka.

121
  • As the negative charge on the acid
  • increases, it becomes more difficult
  • to remove the positively charged
  • proton.

122
Example
  • Consider the dissociation of
  • phosphoric acid.
  • H3PO4(aq) H2O(l) ltgt
  • H3O(aq) H2PO4-
    (aq)
  • Ka1 7.5 x 10-3

123
  • H2PO4-(aq) H2O(l) ltgt
  • H3O(aq) HPO42-(aq)
  • Ka2 6.2 x 10-8

124
  • HPO42-(aq) H2O(l) ltgt
  • H3O(aq) PO43-(aq)
  • Ka3 4.8 x 10-13

125
  • Looking at the Ka values, it is
  • obvious that only the first
  • dissociation will be important in
  • determining the pH of the solution.

126
  • Except for H2SO4, polyprotic acids
  • have Ka2 and Ka3 values so much
  • weaker than their Ka1 value that
  • the 2nd and 3rd (if applicable)
  • dissociation can be ignored.

127
  • The H obtained from this 2nd
  • and 3rd dissociation is negligible
  • compared to the H from the 1st
  • dissociation.

128
  • Because H2SO4 is a strong acid in its
  • first dissociation and a weak acid in
  • its second, we need to consider both
  • if the concentration is more dilute
  • than 1.0 M.
  • The quadratic equation is needed to
  • work this type of problem.

129
Exercise 17 The pH of a Polyprotic Acid
  • Calculate the pH of a 5.0 M H3PO4
  • solution and the equilibrium
  • concentrations of the species
  • H3PO4, H2PO4-, HPO42-, and PO43-

130
Solution
  • pH 0.72
  • H3PO4 4.8 M
  • H2PO4- 0.19 M
  • HPO42- 6.2 X 10-8 M
  • PO43- 1.6 X 10-19 M

131
Exercise 18 The pH of a Sulfuric Acid
  • Calculate the pH of a 1.0 M H2SO4
  • solution.

132
Solution
  • pH 0.00

133
Exercise 19 The pH of a Sulfuric Acid
  • Calculate the pH of a 1.0 X 10-2 M
  • H2SO4 solution.

134
Solution
  • pH 1.84

135
ACID-BASE PROPERTIES OF SALTS
  • HYDROLYSIS

136
  • Salts are produced from the reaction
  • of an acid and a base. (neutralization)
  • Salts are not always neutral. Some
  • hydrolyze with water to produce
  • acidic and basic solutions.

137
Neutral Salts
  • Salts that are formed from the
  • cation of a strong base and the
  • anion of a strong acid form
  • neutral solutions when dissolved
  • in water.
  • A salt such as NaNO3 gives a
  • neutral solution.

138
Basic Salts
  • Salts that are formed from the
  • cation of a strong base and the
  • anion of a weak acid form basic
  • solutions when dissolved in
  • water.

139
  • The anion hydrolyzes the water
  • molecule to produce hydroxide
  • ions and thus a basic solution.

140
  • K2S should be basic since S-2 is
  • the CB of the very weak acid HS-,
  • while K does not hydrolyze
  • appreciably.

141
  • S2- H2O ? OH- HS-
  • strong base weak acid

142
Acid Salts
  • Salts that are formed from the
  • cation of a weak base and the
  • anion of a strong acid form
  • acidic solutions when dissolved in
  • water.

143
  • The cation hydrolyzes the water
  • molecule to produce hydronium
  • ions and thus an acidic solution.

144
  • NH4Cl should be weakly acidic,
  • since NH4 hydrolyzes to give an
  • acidic solution, while Cl- does not
  • hydrolyze.
  • NH4 H2O ? H3O NH3
  • strong acid weak base

145
  • If both the cation
  • and the anion
  • contribute to the
  • pH situation,
  • compare Ka to Kb.
  • If Kb is larger, basic!
  • The converse is also true.

146
  • The following will help predict
  • acidic, basic, or neutral.
  • However, you must explain using
  • appropriate equations as proof!!!

147
  • 1. Strong acid Strong base
  • Neutral salt

148
  • 2. Strong acid Weak base
  • Acidic salt

149
  • 3. Weak acid Strong base
  • Basic salt

150
  • 4. Weak acid Weak base
  • ???
  • (must look at K values to decide)

151
Exercise 20 The Acid-Base Properties of Salts
  • Predict whether an aqueous solution
  • of each of the following salts will be
  • acidic, basic, or neutral. Prove with
  • appropriate equations.
  • a. NH4C2H3O2
  • b. NH4CN
  • c. Al2(SO4)3

152
Solution
  • A neutral
  • B basic
  • C acidic

153
Exercise 21 Salts as Weak Bases
  • Calculate the pH of a 0.30 M NaF
  • solution.
  • The Ka value for HF is 7.2 X 10-4.

154
Solution
  • pH 8.31

155
Exercise 22 Salts as Weak Acids I
  • Calculate the pH of a 0.10 M NH4Cl
  • solution.
  • The Kb value for NH3 is 1.8 X 10-5.

156
Solution
  • pH 5.13

157
Exercise 23 Salts as Weak Acids II
  • Calculate the pH of a 0.010 M AlCl3
  • solution.
  • The Ka value for Al(H2O)63 is
  • 1.4 X 10-5.

158
Solution
  • pH 3.43

159
The Lewis Concept of Acids and Bases
  • acid--can accept a pair of
  • electrons to form a coordinate
  • covalent bond
  • base--can donate a pair of
  • electrons to form a coordinate
  • covalent bond

160
  • Yes, this is the dot guy and the
  • structures guy.
  • He was extremely busy making
  • your life difficult!

161
BF3 the most famous of all!!
162
Exercise 24
  • Tell whether each of the following is
  • a Lewis acid or base.
  • Draw structures as proof.
  • a) PH3 c) H2S
  • b) BCl3 d) SF4

163
Exercise 25 Lewis Acids and Basis
  • For each reaction, identify the Lewis
  • acid and base.
  • a. Ni2(aq) 6NH3(aq) ?
  • Ni(NH3)62(aq)
  • b. H(aq) H2O(aq) ? H3O(aq)

164
Solution
  • A Lewis acid nickel(II) ion
  • Lewis base ammonia
  • B Lewis acid proton
  • Lewis base water molecule

165
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