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Chapter 16
Acid-Base Equilibria
16.1 Acids and Bases: A
Brief Review
Properties of Acids & Bases
Acids:
Sour taste
pH less than 7
Litmus paper – red
Phenolphthalein -
clear
Bases
Bitter taste
Slippery
pH greater than 7
Litmus paper –
blue
Phenolphthalein -
pink
Arrhenius Definition of Acid &
Base
Svante Arrhenius
An acid is a substance that, when
dissolved in water, increases the
concentration of hydrogen ions.
A base is a substance that, when
dissolved in water, increases the
concentration of hydroxide ions.
16.1 Give It Some Thought
Which two ions are central to the
Arrhenius definitions of acids and
bases?
16.2 Brønsted-Lowry
Acids and Bases
Bronsted-Lowry Definition of Acid &
Base
Johannes Brønsted & Thomas Lowry
An acid is a proton donor.
A base is a proton acceptor.
Brønsted–Lowry Acid and Base
A Brønsted–Lowry acid must have at
least one removable (acidic) proton (H+)
to donate.
A Brønsted–Lowry base must have at
least one nonbonding pair of electrons to
accept a proton (H+).
What Happens When an Acid
Dissolves in Water?
Water acts as a
Brønsted-Lowry
base and abstracts
a proton (H+) from
the acid.
As a result, the
conjugate base of
the acid and a
hydronium ion are
formed.
What Is Different about Water?
Water can act as a Brønsted–Lowry
base and accept a proton (H+) from an
acid, as on the previous slide.
It can also donate a proton and act as
an acid, as is seen below.
This makes water amphiprotic.
Which type of intermolecular
force do the dotted lines in
this figure represent?
a. Hydrogen bond
b. Dispersion bond
c. Covalent bond
d. Ionic bond
16.2 Give It Some Thought
In the forward reaction, which substance
acts as the Bronsted-Lowry base:
HSO4
-(aq) + NH3(aq) ↔ SO4
2-(aq) + NH4
+(aq)?
Conjugate Acids and Bases
The term conjugate means “joined
together as a pair.”
Reactions between acids and bases
always yield their conjugate bases and
acids.
Example
Determine the conjugate acid-base pairs in
each reaction:
NH4
+(aq) + CN-(aq) ⇄ HCN(aq) + NH3(aq)
(CH3)3N(aq) + H2O(l) ⇄ (CH3)3NH+(aq) + OH-(aq)
HCHO2(aq) + PO4
3-(aq) ⇄ CHO2
-(aq) + HPO4
2-(aq)
Sample Exercise 16.1 Identifying Conjugate Acids and Bases
(a)What is the conjugate base of each of the
following acids:
HClO4
H2S
PH4
+
HCO3
–
(b) What is the conjugate acid of each of the
following bases:
CN–
SO4
2–
H2O
HCO3
–
Practice Exercise 1
Consider the following equilibrium reaction:
HSO4
− (aq) + OH− (aq) ↔ SO4
2 − (aq) + H2O(l)
Which substances are acting as acids in the
reaction?
(a) HSO4
− and OH−
(b) HSO4
− and H2O
(c) OH− and SO4
2−
(d) SO4
2− and H2O
(e) None
Practice Exercise 2
Write the formula for the conjugate acid of each
of the following:
HSO3
–
F–
PO4
3–
CO
Sample Exercise 16.2 Writing Equations for Proton-Transfer
Reactions
The hydrogen sulfite ion (HSO3
–) is
amphiprotic.
(a) Write an equation for the reaction of HSO3
–
with water, in which the ion acts as an acid.
(b) Write an equation for the reaction of HSO3
–
with water, in which the ion acts as a base. In
both cases identify the conjugate acid–base
pairs.
Practice Exercise 1
The dihydrogen phosphate ion, H2PO4
−, is
amphiprotic. In which of the following reactions
is this ion serving as a base?
(i) H3O+(aq) + H2PO4
−(aq) ↔ H3PO4(aq) + H2O(l)
(ii) H3O+(aq) + HPO4
2 −(aq) ↔ H2PO4
−(aq) + H2O(l)
(iii) H3PO4(aq) + HPO4
2 −(aq) ↔ 2 H2PO4
−(aq)
(a) i only
(b) i and ii
(c) i and iii
(d) ii and iii
(e) i, ii, and iii
Relative Strengths of Acids
and Bases
Acids above the
line with H2O as
a base are strong
acids; their
conjugate bases
do not act as acids
in water.
Bases below the line
with H2O as an acid
are strong bases;
their conjugate
acids do not act as
acids in water.
• The substances between the
lines with H2O are conjugate
acid–base pairs in water.
If O2– ions are added to water, what
reaction, if any, occurs?
a. No reaction
b. O2–(aq) + H+(aq) → HO2–(aq)
c. O2–(aq) + 2H+(aq) → H2O2(aq)
d. O2–(aq) + H2O(aq) → 2OH–(aq)
Acid and Base Strength
In every acid–base reaction, equilibrium favors
transfer of the proton from the stronger acid to
the stronger base to form the weaker acid and
the weaker base.
HCl(aq) + H2O(l) → H3O+(aq) + Cl(aq)
H2O is a much stronger base than Cl, so the
equilibrium lies far to the right (K >> 1).
CH3COOH(aq) + H2O(l) ⇌ H3O+(aq) +
CH3COO–(aq)
Acetate is a stronger base than H2O, so the
equilibrium favors the left side (K < 1).
16.2 Give It Some Thought
Given that HClO4 is a strong acid, how
would you classify the basicity of ClO4
-?
Sample Exercise 16.3 Predicting the Position of a Proton-Transfer
Equilibrium
For the following proton-transfer reaction, use Figure
16.4 to predict whether the equilibrium lies
predominantly to the left (that is, Kc < 1 ) or to the
right (Kc > 1):
Practice Exercise 1
Based on information in Figure 16.4, place the
following equilibria in order from smallest to largest
value of Kc:
(i) CH3COOH(aq) + HS– (aq) ↔ CH3COO– (aq) + H2S(aq)
(ii) F– (aq) + NH4
+ (aq) ↔ HF(aq) + NH3(aq)
(iii) H2CO3(aq) + Cl–(aq) ↔ HCO3
– (aq) + HCl(aq)
(a) i < ii < iii
(b) ii < i < iii
(c) iii < i < ii
(d) ii < iii < i
(e) iii < ii < i
Practice Exercise 2
For each of the following reactions, use Figure
16.4 to predict whether the equilibrium lies
predominantly to the left or to the right:
16.3 The Autoionization
of Water
Autoionization of Water
Water is amphoteric.
In pure water, a few molecules act as
bases and a few act as acids.
This is referred to as autoionization.
Ion Product Constant
The equilibrium expression for this
process is
Kc = [H3O+][OH]
This special equilibrium constant is
referred to as the ion product constant
for water, Kw.
At 25 °C, Kw = 1.0  1014
Aqueous Solutions Can Be Acidic,
Basic, or Neutral
If a solution is neutral, [H+] = [OH–
].
If a solution is acidic, [H+] > [OH–
].
If a solution is basic, [H+] < [OH–
].
Suppose that equal volumes of the middle
and right samples in the figure were mixed.
Would the resultant solution be acidic,
neutral, or basic?
a. Acidic
b. Neutral
c. Basic
Sample Exercise 16.4 Calculating [H+] for Pure Water
Calculate the values of [H+] and [OH-] in a
neutral solution at 25 ºC.
Practice Exercise 1
In a certain acidic solution at 25 °C, [H+] is
100 times greater than [OH−]. What is the
value for [OH−] for the solution?
(a) 1.0 × 10−8 M
(b) 1.0 × 10−7 M
(c) 1.0 × 10−6 M
(d) 1.0 × 10−2 M
(e) 1.0 × 10−9 M
Practice Exercise 2
Indicate whether solutions with each of the
following ion concentrations are neutral,
acidic, or basic:
(a) [H+] = 4 × 10−9 M
(b) [OH−] = 1 × 10−7 M
(c) [OH−] = 1 × 10−13 M
Sample Exercise 16.5 Calculating [H+] from [OH-]
Calculate the concentration of H+(aq) in
(a) a solution in which [OH–] is 0.010 M
(b) a solution in which [OH–] is 1.8 ×10–9 M
Note: In this problem and all that follow, we
assume, unless stated otherwise, that the
temperature is 25 ºC.
Practice Exercise 1
A solution has [OH−] = 4.0 × 10−8. What is
the value of [H+] for the solution?
(a) 2.5 × 10−8 M
(b) 4.0 × 10−8 M
(c) 2.5 × 10−7 M
(d) 2.5 × 10−6 M
(e) 4.0 × 10−6 M
Practice Exercise 2
Calculate the concentration of OH− (aq) in a
solution in which
(a) [H+] = 2 × 10−6 M
(b) [H+] = [OH−]
(c) [H+] = 200 × [OH−]
16.4 The pH Scale
pH
pH is a method
of reporting
hydrogen ion
concentration.
pH = –log[H+]
Neutral pH is 7.00.
Acidic pH is below
7.00.
Basic pH is above
7.00.
16.4 Give It Some Thought
Is it possible for a solution to have a
negative pH? If so, would that pH signify a
basic or acidic solution?
Sample Exercise 16.6 Calculating pH from [H+]
Calculate the pH values for the two solutions
described in Sample Exercise 16.5.
(a) a solution in which [OH–] is 0.010 M
(b) a solution in which [OH–] is 1.8 ×10–9 M
Practice Exercise 1
A solution at 25 °C has [OH−] = 6.7 × 10−3.
What is the pH of the solution?
(a) 0.83
(b) 2.2
(c) 2.17
(d) 11.83
(e) 12
Practice Exercise 2
(a) In a sample of lemon juice [H+] is 3.8 × 10–4
M. What is the pH?
(b) A commonly available window-cleaning
solution has [OH–] = 1.9 ×10–6 M . What is the
pH?
Other “p” Scales
The “p” in pH tells us to take the –log of a
quantity (in this case, hydrogen ions).
Some other “p” systems are
 pOH: –log[OH]
 pKw: –log Kw
Relating pH and pOH
Because
[H3O+][OH] = Kw = 1.0  1014
we can take the –log of the equation
–log[H3O+] + –log[OH] = –log Kw = 14.00
which results in
pH + pOH = pKw = 14.00
Which is more acidic, black coffee or lemon
juice?
a. Black coffee
b. Lemon juice
16.4 Give It Some Thought
If the pOH for the solution is 3.00, what is
the pH? Is the solution acidic or basic?
Sample Exercise 16.7
A sample of freshly pressed apple juice
has a pOH of 10.24. Calculate [H+].
Practice Exercise 1
A solution at 25 °C has pOH = 10.53. Which
of the following statements is or are true?
(i) The solution is acidic.
(ii) The pH of the solution is 14.00 – 10.53.
(iii) For this solution, [OH−] = 10−10.53 M.
(a) Only one of the statements is true.
(b) Statements (i) and (ii) are true.
(c) Statements (i) and (iii) are true.
(d) Statements (ii) and (iii) are true.
(e) All three statements are true.
Practice Exercise 2
A solution formed by dissolving an antacid
tablet has a pOH of 4.82. Calculate [H+].
How Do We Measure pH?
Indicators, including litmus paper, are
used for less accurate measurements;
an indicator is one color in its acid form
and another color in its basic form.
pH meters are used for accurate
measurement of
pH; electrodes
indicate small
changes in voltage
to detect pH.
If a colorless solution turns pink when we
add phenolphthalein, what can we conclude
about the pH of the solution?
a. pH is near 7.
b. pH is < 7.
c. pH is > 10.
d. pH is > 12.
Which of these indicators is
best suited to distinguish
between a solution that is
slightly acidic and one that is
slightly basic?
a. Thymol blue
b. Bromothymol blue
c. Phenophthalein
d. Yellow blue
16.5 Strong Acids and
Bases
Strong Acids
You will recall that the seven strong acids
are HCl, HBr, HI, HNO3, H2SO4, HClO3,
and HClO4.
These are, by definition, strong
electrolytes and exist totally as ions in
aqueous solution; e.g.,
HA + H2O → H3O+ + A–
So, for the monoprotic strong acids,
[H3O+] = [acid]
Sample Exercise 16.8 Calculating the pH of a Strong Acid
What is the pH of a 0.040 M solution of HClO4?
Practice Exercise 1
Order the following three solutions from
smallest to largest pH:
(i) 0.20 M HClO3
(ii) 0.0030 M HNO3
(iii) 1.50 M HCl
(a) i < ii < iii
(b) ii < i < iii
(c) iii < i < ii
(d) ii < iii < i
(e) iii < ii < i
Practice Exercise 2
An aqueous solution of HNO3 has a pH of
2.34. What is the concentration of the acid?
Strong Bases
Strong bases are the soluble hydroxides,
which are the alkali metal and heavier
alkaline earth metal hydroxides (Ca2+,
Sr2+, and Ba2+).
Again, these substances dissociate
completely in aqueous solution; e.g.,
MOH(aq) → M+(aq) + OH–
(aq)
or
M(OH)2(aq) → M2+(aq) + 2 OH–
(aq)
16.5 Give It Some Thought
Which solution has a higher pH, a 0.001 M
solution of NaOH or a 0.001 M solution of
Ba(OH)2?
Sample Exercise 16.9 Calculating the pH of a Strong Base
What is the pH of (a) a 0.028 M solution of
NaOH, (b) a 0.0011 M solution of Ca(OH)2?
Practice Exercise 1
Order the following three solutions from
smallest to largest pH:
(i) 0.030 M Ba(OH)2
(ii) 0.040 M KOH
(iii) pure water
(a) i < ii < iii
(b) ii < i < iii
(c) iii < i < ii
(d) ii < iii < i
(e) iii < ii < i
Practice Exercise 2
What is the concentration of a solution of (a)
KOH for which the pH is 11.89; (b) Ca(OH)2
for which the pH is 11.68?
16.5 Give It Some Thought
The CH3
- ion is the conjugate base of CH4,
and CH4 shows no evidence of being an
acid in water. Write a balanced equation
for the reaction of CH3
- and water.
Calculate pH involving strong acids
& bases
0.425 g of HClO4 in 2.00 L of solution
10.0 mL of 0.0105 M Ca(OH)2 diluted to
500.0 mL
A mixture formed by adding 50.0 mL of
0.020 M HCl to 150 mL of 0.010 M HI
A solution formed by mixing 10.0 mL of
0.015 M Ba(OH)2 with 40.0 mL of 7.5 x 10-3
M NaOH
16.6 Weak Acids
Weak Acids
For a weak acid, the equation for its dissociation is
HA(aq) + H2O(l) ⇌ H3O+(aq) + A–
(aq)
Since it is an equilibrium, there is an equilibrium
constant related to it, called the acid-dissociation
constant, Ka:Ka = [H3O+][A–
] / [HA]
• The greater the
value of Ka, the
stronger is the
acid.
Comparing Strong and Weak Acids
What is present in solution for a strong acid
versus a weak acid?
Strong acids completely dissociate to ions.
Weak acids only partially dissociate to ions.
16.6 Give It Some Thought
Based on
the entries
in Table
16.2, which
element is
most
commonly
bonded to
the acidic
hydrogen?
Sample Exercise 16.10
The pH of a 0.10 M solution of formic acid,
HCOOH, at 25 C is 2.38. Calculate Ka for
formic acid at this temperature.
 We know that [H3O+][HCOO–
]
[HCOOH]
Ka =
 To calculate Ka, we need the equilibrium
concentrations of all three things.
 We can find [H3O+], which is the same as
[HCOO–
], from the pH.
 [H3O+] = [HCOO–
] = 10–2.38 = 4.2 × 10–3
Calculating Ka from pH
Now we can set up a table for equilibrium
concentrations. We know initial HCOOH (0.10 M) and
ion concentrations (0 M); we found equilibrium ion
concentrations (4.2 × 10–3 M); so we calculate the
change, then the equilibrium HCOOH concentration.
[HCOOH], M [H3O+], M [HCOO], M
Initially 0.10 0 0
Change 4.2  103 +4.2  103 +4.2  103
At equilibrium 0.10  4.2  103
= 0.0958 = 0.10
4.2  103 4.2  103
Calculating Ka from pH
[4.2  103][4.2  103]
[0.10]
Ka =
= 1.8  104
• This allows us to calculate Ka by putting
in the equilibrium concentrations.
Practice Exercise 1
A 0.50 M solution of an acid HA has pH =
2.24. What is the value of Ka for the acid?
(a) 1.7 × 10–12
(b) 3.3 × 10–5
(c) 6.6 × 10–5
(d) 5.8 × 10–3
(e) 1.2 × 10–2
Practice Exercise 2
Niacin, one of the B vitamins, has the
molecular structure
A 0.020 M solution of niacin has a pH of
3.26. What is the acid-dissociation constant
for niacin?
Calculating Percent Ionization &
Sample Exercise 16.11
Percent ionization =  100
In sample exercise 16.10,
[H3O+]eq = 4.2  103 M
[HCOOH]initial = 0.10 M
[H3O+]eq
[HA]initial
Percent ionization =  100
4.2  103
0.10
= 4.2%
Practice Exercise 1
A 0.077 M solution of an acid HA has pH = 2.16.
What is the percentage of the acid that is
ionized?
(a) 0.090%
(b) 0.69%
(c) 0.90%
(d) 3.6%
(e) 9.0%
Practice Exercise 2
A 0.020 M solution of niacin has a pH of
3.26. Calculate the percent ionization of
niacin (see practice exercise 2 from
problem 16.10)
Method to Follow to Calculate pH
Using Ka
1) Write the chemical equation for the ionization
equilibrium.
2) Write the equilibrium constant expression.
3) Set up a table for Initial/Change in/Equilibrium
Concentration to determine equilibrium
concentrations as a function of change (x).
4) Substitute equilibrium concentrations into the
equilibrium constant expression and solve for x.
(Make assumptions if you can!)
Example
Calculate the pH of a 0.30 M solution of
acetic acid, HC2H3O2, at 25 C.
1) HC2H3O2 + H2O ⇌ H3O+ + C2H3O2
–
2) Ka = [H3O+][C2H3O2
–
] / [HC2H3O2]
3) CH3COOH (M) H3O+ (M) CH3COO– (M)
Initial
Concentration
(M)
0.30 0 0
Change in
Concentration
(M)
–x +x +x
Equilibrium
Concentration
(M)
0.30 – x x x
Example (concluded)
4) Ka = [H3O+][C2H3O2
–
] / [HC2H3O2]
= (x)(x) / (0.30 – x)
If we assume that x << 0.30, then 0.30 – x
becomes 0.30. The problem becomes
easier, since we don’t have to use the
quadratic formula to solve it.
Ka = 1.8 × 10–5 = x2 / 0.30, so x = 2.3 × 10–3
x = [H3O+], so pH = –log(2.3 × 10–3) = 2.64
16.6 Give It Some Thought
Would a 1.0 x 10-8 M solution of HCl have
a pH < 7, pH = 7, or pH > 7?
Sample Exercise 16.12
Calculate the pH of a 0.20 M solution of
HCN (Ka = 4.9 x 10-10).
Practice Exercise 1
What is the pH of a 0.40 M solution of
benzoic acid, C6H5COOH? (Ka = 6.3 x 10-5)
(a) 2.30
(b) 2.10
(c) 1.90
(d) 4.20
(e) 4.60
The Ka for niacin is 1.5 × 10-5. What is the pH
of a 0.010 M solution of niacin?
Practice Exercise 2
Strong vs. Weak Acids—
Another Comparison
Strong Acid: [H+]eq = [HA]init
Weak Acid: [H+]eq < [HA]init
This creates a difference in conductivity
and in rates of chemical reactions.
Is the trend observed in this graph consistent with
Le Châtelier’s principle? Explain.
a. No, as the CH3COOH concentration increases, the following reaction
should produce more product and thus increase the percent ionized:
CH3COOH CH3COO− + H+.
b. No, because Ka changes slightly as the concentration of CH3COOH
increases, and this permits the degree of ionization to change as
shown on the graph.
c. Yes, changing the concentration of the acid in different solutions of
CH3COOH does not change the value of Ka; thus, LeChâtelier’s
principle is still valid.
d. Yes, the percent concentration must decrease as the concentration of
CH3COOH increases, otherwise the concentration of all three species
would increase to ensure that Ka remains constant. The decrease in
percent ionization with an increase in acid concentration offsets the
fact that the rate of formation of the product is twice the rate of
disappearance of the acid.
Sample Exercise 16.13
Calculate the pH and percentage of HF
molecules ionized in a 0.10 M HF solution.
(Ka = 6.8 × 10–4).
Practice Exercise 1
What is the pH of a 0.010 M solution of HF?
(a) 1.58
(b) 2.10
(c) 2.30
(d) 2.58
(e) 2.64
In Practice Exercise 16.11, we found that the
percent ionization of niacin (Ka = 1.5 × 10-5) in
a 0.020 M solution is 2.7%. Calculate the
percentage of niacin molecules ionized in a
solution that is (a) 0.010 M, (b) 1.0 × 10-3 M.
Practice Exercise 2
Polyprotic Acids
Polyprotic acids have more than one acidic proton.
It is always easier to remove the first proton than
any successive proton.
If the factor in the Ka values for the first and second
dissociation has a difference of 3 or greater, the pH
generally depends only on the first dissociation.
16.6 Give It Some Thought
What is the equilibrium associated with Ka3
for H3PO4?
Citric acid has four hydrogens
bonded to oxygen. How does the
hydrogen that is not an acidic proton
differ from the other three?
a. A H bonded to a O—C— is more acidic than
the H atoms shown in red.
b. A H bonded to a O—C— is only slightly
less acidic than the H atoms shown in red.
c. A H bonded (shown in red) to a O—C that is part of the —
COOH (carboxylate) group is acidic but the H bonded to
in the form of HO—C— (alcohol) group is not acidic.
d. A H bonded (shown in red) to a O—C that is part of the —
COOH (carboxylate) group is acidic but the H bonded to
in the form of HO—C— (alcohol) group is part of a basic
group.
Sample Exercise 16.14 Calculating the pH of a Polyprotic Acid
Solution
The solubility of CO2 in pure water at 25 ºC and
0.1 atm pressure is 0.0037 M. The common
practice is to assume that all of the dissolved
CO2 is in the form of carbonic acid (H2CO3),
which is produced by reaction between the CO2
and H2O:
What is the pH of a 0.0037 M solution of
H2CO3?
Practice Exercise 1
What is the pH of a 0.28 M solution of ascorbic
acid (Vitamin C)? (Ka1 = 8.0 x 10-5 and Ka2 = 1.6
x 10-12 .)
(a) 2.04
(b) 2.32
(c) 2.82
(d) 4.65
(e) 6.17
(a) Calculate the pH of a 0.020 M solution of
oxalic acid (H2C2O4). (Ka1 = 5.9 x 10-2 and
Ka2 = 6.4 x 10-5)
(b) Calculate the concentration of oxalate ion
[C2O4
2–] , in this solution.
Practice Exercise 2
16.7 Weak Bases
Weak Bases
Ammonia, NH3, is a weak base.
Like weak acids, weak bases have an
equilibrium constant called the base
dissociation constant.
Equilibrium calculations work the same
as for acids, using the base dissociation
constant instead.
Base Dissociation Constants
Sample Exercise 16.15
What is the pH of 0.15 M NH3?
1) NH3 + H2O ⇌ NH4
+ + OH–
2) Kb = [NH4
+][OH–
] / [NH3] = 1.8 × 10–5
3) NH3 (M) NH4
+ (M) OH– (M)
Initial
Concentration
(M)
0.15 0 0
Change in
Concentration
(M)
–x +x +x
Equilibrium
Concentration
(M)
0.15 – x x x
Example (completed)
4) 1.8 × 10 – 5 = x2 / (0.15 – x)
If we assume that x << 0.15, 0.15 – x = 0.15.
Then: 1.8 × 10–5 = x2 / 0.15
and: x = 1.6 × 10–3
Note: x is the molarity of OH–
, so –log(x) will
be the pOH (pOH = 2.80) and [14.00 –
pOH] is pH (pH = 11.20).
Practice Exercise 1
What is the pH of a 0.65 M solution of
pyridine, C5H5N? (Kb = 1.7 x 10-9.)
(a) 4.48
(b) 8.96
(c) 9.52
(d) 9.62
(e) 9.71
Practice Exercise 2
Which of the following compounds should
produce the highest pH as a 0.05 M
solution: pyradine (Kb = 1.7 x 10-9),
methylamine (Kb = 4.4 x 10-4), or nitrous acid
(Ka = 4.5 x 10-4)?
Types of Weak Bases
Two main categories
1) Neutral substances with an
Atom that has a nonbonding
pair of electrons that can
accept H+ (like ammonia and
the amines)
2) Anions of weak acids
When hydroxylamine acts
as a base, which atom
accepts the proton?
a. Carbon
b. Nitrogen
c. Hydrogen
d. Oxygen
Sample Exercise 16.16
A solution made by adding solid sodium
hypochlorite (NaClO) to enough water to make
2.00 L of solution has a pH of 10.50. Using the
information in Equation 16.37, calculate the
number of moles of NaClO that were added to
the water.
Practice Exercise 1
The benzoate ion, C6H5COO−, is a weak
base with Kb = 1.6 × 10−10. How many moles
of sodium benzoate are present in 0.50 L of
a solution of NaC6H5COO if the pH is 9.04?
(a) 0.38
(b) 0.66
(c) 0.76
(d) 1.5
(e) 2.9
A solution of NH3 in water has a pH of 11.17.
What is the molarity of the solution?
Practice Exercise 2
16.8 Relationship
Between Ka and Kb
Relationship between Ka and Kb
For a conjugate acid–base pair, Ka and Kb
are related in this way:
Ka × Kb = Kw
Therefore, if you know one of them, you can
calculate the other.
© 2015 Pearson Education, Inc.
16.8 Give It Some Thought
Ka for acetic acid is 1.8 x 10-5. What is the
first digit of the pKa value for acetic acid?
Sample Exercise 16.17
Calculate:
(a) the base-dissociation constant, Kb, for the
fluoride ion (F–), the Ka of HF is 6.8 x 10-4
(b) the acid dissociation constant, Ka, for the
ammonium ion (NH4
+), the Kb of NH3 is 1.8 x
10-5.
Practice Exercise 1
By using information from Appendix D, put
the following three substances in order of
weakest to strongest base:
(i) (CH3)3N
(ii) HCOO−
(iii) BrO−
(a) i < ii < iii
(b) ii < i < iii
(c) Iii < i < ii
(d) ii < iii < i
(e) iii < ii < i
(a) Which of the following anions has the largest base-
dissociation constant: NO2
– (Ka of HNO2 is 4.5 x
10-4), PO4
3– (Ka1 of H3PO4 is 7.5 x 10-3) or N3
– (Ka
of HN3 is 1.9 x 10-5)
(b) The base quinoline has the following structure:
Its conjugate acid is listed in handbooks as
having a pKa of 4.90. What is the base
dissociation constant for quinoline?
Practice Exercise 2
Practice Problem
Calculate the [OH-] concentration of a 0.10
M NaCN solution. The Ka of HCN is 4.9 x
10-10.
16.9 Acid-Base Properties
of Salt Solutions
Acid–Base Properties of Salts
Many ions react with water to create H+
or OH–
. The reaction with water is often
called hydrolysis.
To determine whether a salt is an acid
or a base, you need to look at the cation
and anion separately.
The cation can be acidic or neutral.
The anion can be acidic, basic, or
neutral.
Anions
Anions of strong acids are neutral. For
example, Cl–
will not react with water,
so OH–
can’t be formed.
Anions of weak acids are conjugate
bases, so they create OH–
in water;
e.g., C2H3O2
–
+ H2O ⇌ HC2H3O2 + OH–
Protonated anions from polyprotic acids
can be acids or bases: If Ka > Kb, the
anion will be acidic; if Kb > Ka, the anion
will be basic.
16.9 Give It Some Thought
Will NO3
- ions affect the pH of a solution?
What about CO3
2- ions?
Cations
Group I or Group II (Ca2+, Sr2+, or Ba2+)
metal cations are neutral.
Polyatomic cations are typically the
conjugate acids of a weak base; e.g., NH4
+.
Transition and post-transition metal cations
are acidic. Why? (There are no H atoms in
these cations!)
Hydrated Cations
Transition and post-transition metals
form hydrated cations.
The water attached to the metal is more
acidic than free water
molecules, making the
hydrated ions acidic.
Why do we need to use two different acid-
base indicators in this figure?
a. The concentration of nitrate affects the indication.
b. The range of pH is too great for one indicator.
Salt Solutions—
Acidic, Basic, or Neutral?
1) Group I/II metal cation with anion of a strong
acid: neutral
2) Group I/II metal cation with anion of a weak
acid: basic (like the anion)
3) Transition/Post-transition metal cation or
polyatomic cation with anion of a strong acid:
acidic (like the cation)
4) Transition/Post-transition metal cation or
polyatomic cation with anion of a weak acid:
compare Ka and Kb; whichever is greater
dictates what the salt is.
Sample Exercise 16.18
Determine whether aqueous solutions of each of
the following salts will be acidic, basic, or
neutral:
(a) Ba(CH3COO)2
(b) NH4Cl
(c) CH3NH3Br
(d) KNO3
(e) Al(ClO4)3
Practice Exercise 1
Order the following solutions from lowest to
highest pH:
(i) 0.10 M NaClO
(ii) 0.10 M KBr
(iii) 0.10 M NH4ClO4
(a) i < ii < iii
(b) ii < i < iii
(c) iii < i < ii
(d) ii < iii < i
(e) iii < ii < i
Practice Exercise 2
In each of the following, indicate which salt
will form the more acidic (or less basic)
0.010 M solution:
 A) NaNO3 or Fe(NO3)3
 B) KBr or KBrO
 C) CH3NH3Cl or BaCl2
 D) NH4NO2 or NH4NO3
Sample Exercise 16.19 Predicting Whether the Solution of an
Amphiprotic Anion is Acidic or Basic
Predict whether the salt Na2HPO4 will form an
acidic solution or a basic solution on dissolving
in water.
Predict whether the dipotassium salt of citric
acid (K2HC6H5O7) will form an acidic or basic
solution in water (see Table 16.3 for data).
Practice Exercise 2
16.10 Acid-Base Behavior
and Chemical Structure
Factors that Affect Acid
Strength
1) H—A bond must be polarized with δ+ on
the H atom and δ– on the A atom
2) Bond strength: Weaker bonds can be
broken more easily, making the acid
stronger.
3) Stability of A–
: More stable anion means
stronger acid.
Binary Acids
Binary acids consist of
H and one other element.
Within a group, H—A
bond strength is
generally the most
important factor.
Within a period, bond
polarity is the most
important factor to
determine acid strength.
Are the acid properties of HI what you
would expect from this figure?
a. Yes, HI is a
strong acid.
b. No, HI is a
weak acid.
Oxyacids
Oxyacids consist
of H, O, and one
other element,
which is a
nonmetal.
Generally, as the
electronegativity
of the nonmetal
increases, the
acidity increases
for acids with the
same structure.
At equilibrium, which of the two species with
a halogen atom (green) is present in greater
concentration?
a. HOCl
b. OCl−
c. Cannot tell
from
information
given
Oxyacids with Same
“Other” Element
If an element can form more than one
oxyacid, the oxyacid with more O atoms is
more acidic; e.g., sulfuric acid versus
sulfurous acid.
Another way of saying it: If the oxidation
number increases, the acidity increases.
16.10 Give It Some Thought
Which acid has the larger acid-dissociation
constant, HIO2 or HBrO3?
Sample Exercise 16.20 Predicting Relative Acidities from
Composition and Structure
Arrange the compounds in each of the following
series in order of increasing acid strength:
(a) AsH3, HBr, KH, H2Se
(b) H2SO4, H2SeO3, H2SeO4.
In each of the following pairs choose the
compound that leads to the more acidic (or
less basic) solution:
(a) HBr, HF;
(b) PH3, H2S;
(c) HNO2, HNO3;
(d) H2SO3, H2SeO3.
Practice Exercise 2
Carboxylic Acids
Carboxylic acids are organic acids
containing the —COOH group.
Factors contributing to their acidic behavior:
Other O attached to C draws electron
density from O—H bond, increasing
polarity.
Its conjugate base (carboxylate anion) has
resonance forms to stabilize the anion.
16.10 Give It Some Thought
What group of atoms is present in all
carboxylic acids?
Sample Integrated Exercise Putting Concepts Together
Phosphorous acid (H3PO3) has the following Lewis structure
(a) Explain why H3PO3 is diprotic and not triprotic. (b)
A 25.0-mL sample of a solution of H3PO3 is titrated
with 0.102 M NaOH. It requires 23.3 mL of NaOH to
neutralize both acidic protons. What is the molarity of
the H3PO3 solution? (c) The original solution from part
(b) has a pH of 1.59. Calculate the percent ionization
and Ka1 for H3PO3, assuming that Ka1 >> Ka2. (d) How
does the osmotic pressure of a 0.050 M solution of
HCl compare qualitatively with that of a 0.050 M
solution of H3PO3? Explain.

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Chapter 16 Powerpoint - student version.ppt

  • 2. 16.1 Acids and Bases: A Brief Review
  • 3. Properties of Acids & Bases Acids: Sour taste pH less than 7 Litmus paper – red Phenolphthalein - clear Bases Bitter taste Slippery pH greater than 7 Litmus paper – blue Phenolphthalein - pink
  • 4. Arrhenius Definition of Acid & Base Svante Arrhenius An acid is a substance that, when dissolved in water, increases the concentration of hydrogen ions. A base is a substance that, when dissolved in water, increases the concentration of hydroxide ions.
  • 5. 16.1 Give It Some Thought Which two ions are central to the Arrhenius definitions of acids and bases?
  • 7. Bronsted-Lowry Definition of Acid & Base Johannes Brønsted & Thomas Lowry An acid is a proton donor. A base is a proton acceptor.
  • 8. Brønsted–Lowry Acid and Base A Brønsted–Lowry acid must have at least one removable (acidic) proton (H+) to donate. A Brønsted–Lowry base must have at least one nonbonding pair of electrons to accept a proton (H+).
  • 9. What Happens When an Acid Dissolves in Water? Water acts as a Brønsted-Lowry base and abstracts a proton (H+) from the acid. As a result, the conjugate base of the acid and a hydronium ion are formed.
  • 10. What Is Different about Water? Water can act as a Brønsted–Lowry base and accept a proton (H+) from an acid, as on the previous slide. It can also donate a proton and act as an acid, as is seen below. This makes water amphiprotic.
  • 11. Which type of intermolecular force do the dotted lines in this figure represent? a. Hydrogen bond b. Dispersion bond c. Covalent bond d. Ionic bond
  • 12. 16.2 Give It Some Thought In the forward reaction, which substance acts as the Bronsted-Lowry base: HSO4 -(aq) + NH3(aq) ↔ SO4 2-(aq) + NH4 +(aq)?
  • 13. Conjugate Acids and Bases The term conjugate means “joined together as a pair.” Reactions between acids and bases always yield their conjugate bases and acids.
  • 14. Example Determine the conjugate acid-base pairs in each reaction: NH4 +(aq) + CN-(aq) ⇄ HCN(aq) + NH3(aq) (CH3)3N(aq) + H2O(l) ⇄ (CH3)3NH+(aq) + OH-(aq) HCHO2(aq) + PO4 3-(aq) ⇄ CHO2 -(aq) + HPO4 2-(aq)
  • 15. Sample Exercise 16.1 Identifying Conjugate Acids and Bases (a)What is the conjugate base of each of the following acids: HClO4 H2S PH4 + HCO3 – (b) What is the conjugate acid of each of the following bases: CN– SO4 2– H2O HCO3 –
  • 16. Practice Exercise 1 Consider the following equilibrium reaction: HSO4 − (aq) + OH− (aq) ↔ SO4 2 − (aq) + H2O(l) Which substances are acting as acids in the reaction? (a) HSO4 − and OH− (b) HSO4 − and H2O (c) OH− and SO4 2− (d) SO4 2− and H2O (e) None
  • 17. Practice Exercise 2 Write the formula for the conjugate acid of each of the following: HSO3 – F– PO4 3– CO
  • 18. Sample Exercise 16.2 Writing Equations for Proton-Transfer Reactions The hydrogen sulfite ion (HSO3 –) is amphiprotic. (a) Write an equation for the reaction of HSO3 – with water, in which the ion acts as an acid. (b) Write an equation for the reaction of HSO3 – with water, in which the ion acts as a base. In both cases identify the conjugate acid–base pairs.
  • 19. Practice Exercise 1 The dihydrogen phosphate ion, H2PO4 −, is amphiprotic. In which of the following reactions is this ion serving as a base? (i) H3O+(aq) + H2PO4 −(aq) ↔ H3PO4(aq) + H2O(l) (ii) H3O+(aq) + HPO4 2 −(aq) ↔ H2PO4 −(aq) + H2O(l) (iii) H3PO4(aq) + HPO4 2 −(aq) ↔ 2 H2PO4 −(aq) (a) i only (b) i and ii (c) i and iii (d) ii and iii (e) i, ii, and iii
  • 20. Relative Strengths of Acids and Bases Acids above the line with H2O as a base are strong acids; their conjugate bases do not act as acids in water. Bases below the line with H2O as an acid are strong bases; their conjugate acids do not act as acids in water. • The substances between the lines with H2O are conjugate acid–base pairs in water.
  • 21. If O2– ions are added to water, what reaction, if any, occurs? a. No reaction b. O2–(aq) + H+(aq) → HO2–(aq) c. O2–(aq) + 2H+(aq) → H2O2(aq) d. O2–(aq) + H2O(aq) → 2OH–(aq)
  • 22. Acid and Base Strength In every acid–base reaction, equilibrium favors transfer of the proton from the stronger acid to the stronger base to form the weaker acid and the weaker base. HCl(aq) + H2O(l) → H3O+(aq) + Cl(aq) H2O is a much stronger base than Cl, so the equilibrium lies far to the right (K >> 1). CH3COOH(aq) + H2O(l) ⇌ H3O+(aq) + CH3COO–(aq) Acetate is a stronger base than H2O, so the equilibrium favors the left side (K < 1).
  • 23. 16.2 Give It Some Thought Given that HClO4 is a strong acid, how would you classify the basicity of ClO4 -?
  • 24. Sample Exercise 16.3 Predicting the Position of a Proton-Transfer Equilibrium For the following proton-transfer reaction, use Figure 16.4 to predict whether the equilibrium lies predominantly to the left (that is, Kc < 1 ) or to the right (Kc > 1):
  • 25. Practice Exercise 1 Based on information in Figure 16.4, place the following equilibria in order from smallest to largest value of Kc: (i) CH3COOH(aq) + HS– (aq) ↔ CH3COO– (aq) + H2S(aq) (ii) F– (aq) + NH4 + (aq) ↔ HF(aq) + NH3(aq) (iii) H2CO3(aq) + Cl–(aq) ↔ HCO3 – (aq) + HCl(aq) (a) i < ii < iii (b) ii < i < iii (c) iii < i < ii (d) ii < iii < i (e) iii < ii < i
  • 26. Practice Exercise 2 For each of the following reactions, use Figure 16.4 to predict whether the equilibrium lies predominantly to the left or to the right:
  • 28. Autoionization of Water Water is amphoteric. In pure water, a few molecules act as bases and a few act as acids. This is referred to as autoionization.
  • 29. Ion Product Constant The equilibrium expression for this process is Kc = [H3O+][OH] This special equilibrium constant is referred to as the ion product constant for water, Kw. At 25 °C, Kw = 1.0  1014
  • 30. Aqueous Solutions Can Be Acidic, Basic, or Neutral If a solution is neutral, [H+] = [OH– ]. If a solution is acidic, [H+] > [OH– ]. If a solution is basic, [H+] < [OH– ].
  • 31. Suppose that equal volumes of the middle and right samples in the figure were mixed. Would the resultant solution be acidic, neutral, or basic? a. Acidic b. Neutral c. Basic
  • 32. Sample Exercise 16.4 Calculating [H+] for Pure Water Calculate the values of [H+] and [OH-] in a neutral solution at 25 ºC.
  • 33. Practice Exercise 1 In a certain acidic solution at 25 °C, [H+] is 100 times greater than [OH−]. What is the value for [OH−] for the solution? (a) 1.0 × 10−8 M (b) 1.0 × 10−7 M (c) 1.0 × 10−6 M (d) 1.0 × 10−2 M (e) 1.0 × 10−9 M
  • 34. Practice Exercise 2 Indicate whether solutions with each of the following ion concentrations are neutral, acidic, or basic: (a) [H+] = 4 × 10−9 M (b) [OH−] = 1 × 10−7 M (c) [OH−] = 1 × 10−13 M
  • 35. Sample Exercise 16.5 Calculating [H+] from [OH-] Calculate the concentration of H+(aq) in (a) a solution in which [OH–] is 0.010 M (b) a solution in which [OH–] is 1.8 ×10–9 M Note: In this problem and all that follow, we assume, unless stated otherwise, that the temperature is 25 ºC.
  • 36. Practice Exercise 1 A solution has [OH−] = 4.0 × 10−8. What is the value of [H+] for the solution? (a) 2.5 × 10−8 M (b) 4.0 × 10−8 M (c) 2.5 × 10−7 M (d) 2.5 × 10−6 M (e) 4.0 × 10−6 M
  • 37. Practice Exercise 2 Calculate the concentration of OH− (aq) in a solution in which (a) [H+] = 2 × 10−6 M (b) [H+] = [OH−] (c) [H+] = 200 × [OH−]
  • 38. 16.4 The pH Scale
  • 39. pH pH is a method of reporting hydrogen ion concentration. pH = –log[H+] Neutral pH is 7.00. Acidic pH is below 7.00. Basic pH is above 7.00.
  • 40. 16.4 Give It Some Thought Is it possible for a solution to have a negative pH? If so, would that pH signify a basic or acidic solution?
  • 41. Sample Exercise 16.6 Calculating pH from [H+] Calculate the pH values for the two solutions described in Sample Exercise 16.5. (a) a solution in which [OH–] is 0.010 M (b) a solution in which [OH–] is 1.8 ×10–9 M
  • 42. Practice Exercise 1 A solution at 25 °C has [OH−] = 6.7 × 10−3. What is the pH of the solution? (a) 0.83 (b) 2.2 (c) 2.17 (d) 11.83 (e) 12
  • 43. Practice Exercise 2 (a) In a sample of lemon juice [H+] is 3.8 × 10–4 M. What is the pH? (b) A commonly available window-cleaning solution has [OH–] = 1.9 ×10–6 M . What is the pH?
  • 44. Other “p” Scales The “p” in pH tells us to take the –log of a quantity (in this case, hydrogen ions). Some other “p” systems are  pOH: –log[OH]  pKw: –log Kw
  • 45. Relating pH and pOH Because [H3O+][OH] = Kw = 1.0  1014 we can take the –log of the equation –log[H3O+] + –log[OH] = –log Kw = 14.00 which results in pH + pOH = pKw = 14.00
  • 46. Which is more acidic, black coffee or lemon juice? a. Black coffee b. Lemon juice
  • 47. 16.4 Give It Some Thought If the pOH for the solution is 3.00, what is the pH? Is the solution acidic or basic?
  • 48. Sample Exercise 16.7 A sample of freshly pressed apple juice has a pOH of 10.24. Calculate [H+].
  • 49. Practice Exercise 1 A solution at 25 °C has pOH = 10.53. Which of the following statements is or are true? (i) The solution is acidic. (ii) The pH of the solution is 14.00 – 10.53. (iii) For this solution, [OH−] = 10−10.53 M. (a) Only one of the statements is true. (b) Statements (i) and (ii) are true. (c) Statements (i) and (iii) are true. (d) Statements (ii) and (iii) are true. (e) All three statements are true.
  • 50. Practice Exercise 2 A solution formed by dissolving an antacid tablet has a pOH of 4.82. Calculate [H+].
  • 51. How Do We Measure pH? Indicators, including litmus paper, are used for less accurate measurements; an indicator is one color in its acid form and another color in its basic form. pH meters are used for accurate measurement of pH; electrodes indicate small changes in voltage to detect pH.
  • 52. If a colorless solution turns pink when we add phenolphthalein, what can we conclude about the pH of the solution? a. pH is near 7. b. pH is < 7. c. pH is > 10. d. pH is > 12.
  • 53. Which of these indicators is best suited to distinguish between a solution that is slightly acidic and one that is slightly basic? a. Thymol blue b. Bromothymol blue c. Phenophthalein d. Yellow blue
  • 54. 16.5 Strong Acids and Bases
  • 55. Strong Acids You will recall that the seven strong acids are HCl, HBr, HI, HNO3, H2SO4, HClO3, and HClO4. These are, by definition, strong electrolytes and exist totally as ions in aqueous solution; e.g., HA + H2O → H3O+ + A– So, for the monoprotic strong acids, [H3O+] = [acid]
  • 56. Sample Exercise 16.8 Calculating the pH of a Strong Acid What is the pH of a 0.040 M solution of HClO4?
  • 57. Practice Exercise 1 Order the following three solutions from smallest to largest pH: (i) 0.20 M HClO3 (ii) 0.0030 M HNO3 (iii) 1.50 M HCl (a) i < ii < iii (b) ii < i < iii (c) iii < i < ii (d) ii < iii < i (e) iii < ii < i
  • 58. Practice Exercise 2 An aqueous solution of HNO3 has a pH of 2.34. What is the concentration of the acid?
  • 59. Strong Bases Strong bases are the soluble hydroxides, which are the alkali metal and heavier alkaline earth metal hydroxides (Ca2+, Sr2+, and Ba2+). Again, these substances dissociate completely in aqueous solution; e.g., MOH(aq) → M+(aq) + OH– (aq) or M(OH)2(aq) → M2+(aq) + 2 OH– (aq)
  • 60. 16.5 Give It Some Thought Which solution has a higher pH, a 0.001 M solution of NaOH or a 0.001 M solution of Ba(OH)2?
  • 61. Sample Exercise 16.9 Calculating the pH of a Strong Base What is the pH of (a) a 0.028 M solution of NaOH, (b) a 0.0011 M solution of Ca(OH)2?
  • 62. Practice Exercise 1 Order the following three solutions from smallest to largest pH: (i) 0.030 M Ba(OH)2 (ii) 0.040 M KOH (iii) pure water (a) i < ii < iii (b) ii < i < iii (c) iii < i < ii (d) ii < iii < i (e) iii < ii < i
  • 63. Practice Exercise 2 What is the concentration of a solution of (a) KOH for which the pH is 11.89; (b) Ca(OH)2 for which the pH is 11.68?
  • 64. 16.5 Give It Some Thought The CH3 - ion is the conjugate base of CH4, and CH4 shows no evidence of being an acid in water. Write a balanced equation for the reaction of CH3 - and water.
  • 65. Calculate pH involving strong acids & bases 0.425 g of HClO4 in 2.00 L of solution 10.0 mL of 0.0105 M Ca(OH)2 diluted to 500.0 mL A mixture formed by adding 50.0 mL of 0.020 M HCl to 150 mL of 0.010 M HI A solution formed by mixing 10.0 mL of 0.015 M Ba(OH)2 with 40.0 mL of 7.5 x 10-3 M NaOH
  • 67. Weak Acids For a weak acid, the equation for its dissociation is HA(aq) + H2O(l) ⇌ H3O+(aq) + A– (aq) Since it is an equilibrium, there is an equilibrium constant related to it, called the acid-dissociation constant, Ka:Ka = [H3O+][A– ] / [HA] • The greater the value of Ka, the stronger is the acid.
  • 68. Comparing Strong and Weak Acids What is present in solution for a strong acid versus a weak acid? Strong acids completely dissociate to ions. Weak acids only partially dissociate to ions.
  • 69. 16.6 Give It Some Thought Based on the entries in Table 16.2, which element is most commonly bonded to the acidic hydrogen?
  • 70. Sample Exercise 16.10 The pH of a 0.10 M solution of formic acid, HCOOH, at 25 C is 2.38. Calculate Ka for formic acid at this temperature.  We know that [H3O+][HCOO– ] [HCOOH] Ka =  To calculate Ka, we need the equilibrium concentrations of all three things.  We can find [H3O+], which is the same as [HCOO– ], from the pH.  [H3O+] = [HCOO– ] = 10–2.38 = 4.2 × 10–3
  • 71. Calculating Ka from pH Now we can set up a table for equilibrium concentrations. We know initial HCOOH (0.10 M) and ion concentrations (0 M); we found equilibrium ion concentrations (4.2 × 10–3 M); so we calculate the change, then the equilibrium HCOOH concentration. [HCOOH], M [H3O+], M [HCOO], M Initially 0.10 0 0 Change 4.2  103 +4.2  103 +4.2  103 At equilibrium 0.10  4.2  103 = 0.0958 = 0.10 4.2  103 4.2  103
  • 72. Calculating Ka from pH [4.2  103][4.2  103] [0.10] Ka = = 1.8  104 • This allows us to calculate Ka by putting in the equilibrium concentrations.
  • 73. Practice Exercise 1 A 0.50 M solution of an acid HA has pH = 2.24. What is the value of Ka for the acid? (a) 1.7 × 10–12 (b) 3.3 × 10–5 (c) 6.6 × 10–5 (d) 5.8 × 10–3 (e) 1.2 × 10–2
  • 74. Practice Exercise 2 Niacin, one of the B vitamins, has the molecular structure A 0.020 M solution of niacin has a pH of 3.26. What is the acid-dissociation constant for niacin?
  • 75. Calculating Percent Ionization & Sample Exercise 16.11 Percent ionization =  100 In sample exercise 16.10, [H3O+]eq = 4.2  103 M [HCOOH]initial = 0.10 M [H3O+]eq [HA]initial Percent ionization =  100 4.2  103 0.10 = 4.2%
  • 76. Practice Exercise 1 A 0.077 M solution of an acid HA has pH = 2.16. What is the percentage of the acid that is ionized? (a) 0.090% (b) 0.69% (c) 0.90% (d) 3.6% (e) 9.0%
  • 77. Practice Exercise 2 A 0.020 M solution of niacin has a pH of 3.26. Calculate the percent ionization of niacin (see practice exercise 2 from problem 16.10)
  • 78. Method to Follow to Calculate pH Using Ka 1) Write the chemical equation for the ionization equilibrium. 2) Write the equilibrium constant expression. 3) Set up a table for Initial/Change in/Equilibrium Concentration to determine equilibrium concentrations as a function of change (x). 4) Substitute equilibrium concentrations into the equilibrium constant expression and solve for x. (Make assumptions if you can!)
  • 79. Example Calculate the pH of a 0.30 M solution of acetic acid, HC2H3O2, at 25 C. 1) HC2H3O2 + H2O ⇌ H3O+ + C2H3O2 – 2) Ka = [H3O+][C2H3O2 – ] / [HC2H3O2] 3) CH3COOH (M) H3O+ (M) CH3COO– (M) Initial Concentration (M) 0.30 0 0 Change in Concentration (M) –x +x +x Equilibrium Concentration (M) 0.30 – x x x
  • 80. Example (concluded) 4) Ka = [H3O+][C2H3O2 – ] / [HC2H3O2] = (x)(x) / (0.30 – x) If we assume that x << 0.30, then 0.30 – x becomes 0.30. The problem becomes easier, since we don’t have to use the quadratic formula to solve it. Ka = 1.8 × 10–5 = x2 / 0.30, so x = 2.3 × 10–3 x = [H3O+], so pH = –log(2.3 × 10–3) = 2.64
  • 81. 16.6 Give It Some Thought Would a 1.0 x 10-8 M solution of HCl have a pH < 7, pH = 7, or pH > 7?
  • 82. Sample Exercise 16.12 Calculate the pH of a 0.20 M solution of HCN (Ka = 4.9 x 10-10).
  • 83. Practice Exercise 1 What is the pH of a 0.40 M solution of benzoic acid, C6H5COOH? (Ka = 6.3 x 10-5) (a) 2.30 (b) 2.10 (c) 1.90 (d) 4.20 (e) 4.60
  • 84. The Ka for niacin is 1.5 × 10-5. What is the pH of a 0.010 M solution of niacin? Practice Exercise 2
  • 85. Strong vs. Weak Acids— Another Comparison Strong Acid: [H+]eq = [HA]init Weak Acid: [H+]eq < [HA]init This creates a difference in conductivity and in rates of chemical reactions.
  • 86.
  • 87. Is the trend observed in this graph consistent with Le Châtelier’s principle? Explain. a. No, as the CH3COOH concentration increases, the following reaction should produce more product and thus increase the percent ionized: CH3COOH CH3COO− + H+. b. No, because Ka changes slightly as the concentration of CH3COOH increases, and this permits the degree of ionization to change as shown on the graph. c. Yes, changing the concentration of the acid in different solutions of CH3COOH does not change the value of Ka; thus, LeChâtelier’s principle is still valid. d. Yes, the percent concentration must decrease as the concentration of CH3COOH increases, otherwise the concentration of all three species would increase to ensure that Ka remains constant. The decrease in percent ionization with an increase in acid concentration offsets the fact that the rate of formation of the product is twice the rate of disappearance of the acid.
  • 88. Sample Exercise 16.13 Calculate the pH and percentage of HF molecules ionized in a 0.10 M HF solution. (Ka = 6.8 × 10–4).
  • 89. Practice Exercise 1 What is the pH of a 0.010 M solution of HF? (a) 1.58 (b) 2.10 (c) 2.30 (d) 2.58 (e) 2.64
  • 90. In Practice Exercise 16.11, we found that the percent ionization of niacin (Ka = 1.5 × 10-5) in a 0.020 M solution is 2.7%. Calculate the percentage of niacin molecules ionized in a solution that is (a) 0.010 M, (b) 1.0 × 10-3 M. Practice Exercise 2
  • 91. Polyprotic Acids Polyprotic acids have more than one acidic proton. It is always easier to remove the first proton than any successive proton. If the factor in the Ka values for the first and second dissociation has a difference of 3 or greater, the pH generally depends only on the first dissociation.
  • 92. 16.6 Give It Some Thought What is the equilibrium associated with Ka3 for H3PO4?
  • 93. Citric acid has four hydrogens bonded to oxygen. How does the hydrogen that is not an acidic proton differ from the other three? a. A H bonded to a O—C— is more acidic than the H atoms shown in red. b. A H bonded to a O—C— is only slightly less acidic than the H atoms shown in red. c. A H bonded (shown in red) to a O—C that is part of the — COOH (carboxylate) group is acidic but the H bonded to in the form of HO—C— (alcohol) group is not acidic. d. A H bonded (shown in red) to a O—C that is part of the — COOH (carboxylate) group is acidic but the H bonded to in the form of HO—C— (alcohol) group is part of a basic group.
  • 94. Sample Exercise 16.14 Calculating the pH of a Polyprotic Acid Solution The solubility of CO2 in pure water at 25 ºC and 0.1 atm pressure is 0.0037 M. The common practice is to assume that all of the dissolved CO2 is in the form of carbonic acid (H2CO3), which is produced by reaction between the CO2 and H2O: What is the pH of a 0.0037 M solution of H2CO3?
  • 95. Practice Exercise 1 What is the pH of a 0.28 M solution of ascorbic acid (Vitamin C)? (Ka1 = 8.0 x 10-5 and Ka2 = 1.6 x 10-12 .) (a) 2.04 (b) 2.32 (c) 2.82 (d) 4.65 (e) 6.17
  • 96. (a) Calculate the pH of a 0.020 M solution of oxalic acid (H2C2O4). (Ka1 = 5.9 x 10-2 and Ka2 = 6.4 x 10-5) (b) Calculate the concentration of oxalate ion [C2O4 2–] , in this solution. Practice Exercise 2
  • 98. Weak Bases Ammonia, NH3, is a weak base. Like weak acids, weak bases have an equilibrium constant called the base dissociation constant. Equilibrium calculations work the same as for acids, using the base dissociation constant instead.
  • 100. Sample Exercise 16.15 What is the pH of 0.15 M NH3? 1) NH3 + H2O ⇌ NH4 + + OH– 2) Kb = [NH4 +][OH– ] / [NH3] = 1.8 × 10–5 3) NH3 (M) NH4 + (M) OH– (M) Initial Concentration (M) 0.15 0 0 Change in Concentration (M) –x +x +x Equilibrium Concentration (M) 0.15 – x x x
  • 101. Example (completed) 4) 1.8 × 10 – 5 = x2 / (0.15 – x) If we assume that x << 0.15, 0.15 – x = 0.15. Then: 1.8 × 10–5 = x2 / 0.15 and: x = 1.6 × 10–3 Note: x is the molarity of OH– , so –log(x) will be the pOH (pOH = 2.80) and [14.00 – pOH] is pH (pH = 11.20).
  • 102. Practice Exercise 1 What is the pH of a 0.65 M solution of pyridine, C5H5N? (Kb = 1.7 x 10-9.) (a) 4.48 (b) 8.96 (c) 9.52 (d) 9.62 (e) 9.71
  • 103. Practice Exercise 2 Which of the following compounds should produce the highest pH as a 0.05 M solution: pyradine (Kb = 1.7 x 10-9), methylamine (Kb = 4.4 x 10-4), or nitrous acid (Ka = 4.5 x 10-4)?
  • 104. Types of Weak Bases Two main categories 1) Neutral substances with an Atom that has a nonbonding pair of electrons that can accept H+ (like ammonia and the amines) 2) Anions of weak acids
  • 105. When hydroxylamine acts as a base, which atom accepts the proton? a. Carbon b. Nitrogen c. Hydrogen d. Oxygen
  • 106. Sample Exercise 16.16 A solution made by adding solid sodium hypochlorite (NaClO) to enough water to make 2.00 L of solution has a pH of 10.50. Using the information in Equation 16.37, calculate the number of moles of NaClO that were added to the water.
  • 107. Practice Exercise 1 The benzoate ion, C6H5COO−, is a weak base with Kb = 1.6 × 10−10. How many moles of sodium benzoate are present in 0.50 L of a solution of NaC6H5COO if the pH is 9.04? (a) 0.38 (b) 0.66 (c) 0.76 (d) 1.5 (e) 2.9
  • 108. A solution of NH3 in water has a pH of 11.17. What is the molarity of the solution? Practice Exercise 2
  • 110. Relationship between Ka and Kb For a conjugate acid–base pair, Ka and Kb are related in this way: Ka × Kb = Kw Therefore, if you know one of them, you can calculate the other. © 2015 Pearson Education, Inc.
  • 111. 16.8 Give It Some Thought Ka for acetic acid is 1.8 x 10-5. What is the first digit of the pKa value for acetic acid?
  • 112. Sample Exercise 16.17 Calculate: (a) the base-dissociation constant, Kb, for the fluoride ion (F–), the Ka of HF is 6.8 x 10-4 (b) the acid dissociation constant, Ka, for the ammonium ion (NH4 +), the Kb of NH3 is 1.8 x 10-5.
  • 113. Practice Exercise 1 By using information from Appendix D, put the following three substances in order of weakest to strongest base: (i) (CH3)3N (ii) HCOO− (iii) BrO− (a) i < ii < iii (b) ii < i < iii (c) Iii < i < ii (d) ii < iii < i (e) iii < ii < i
  • 114. (a) Which of the following anions has the largest base- dissociation constant: NO2 – (Ka of HNO2 is 4.5 x 10-4), PO4 3– (Ka1 of H3PO4 is 7.5 x 10-3) or N3 – (Ka of HN3 is 1.9 x 10-5) (b) The base quinoline has the following structure: Its conjugate acid is listed in handbooks as having a pKa of 4.90. What is the base dissociation constant for quinoline? Practice Exercise 2
  • 115. Practice Problem Calculate the [OH-] concentration of a 0.10 M NaCN solution. The Ka of HCN is 4.9 x 10-10.
  • 116. 16.9 Acid-Base Properties of Salt Solutions
  • 117. Acid–Base Properties of Salts Many ions react with water to create H+ or OH– . The reaction with water is often called hydrolysis. To determine whether a salt is an acid or a base, you need to look at the cation and anion separately. The cation can be acidic or neutral. The anion can be acidic, basic, or neutral.
  • 118. Anions Anions of strong acids are neutral. For example, Cl– will not react with water, so OH– can’t be formed. Anions of weak acids are conjugate bases, so they create OH– in water; e.g., C2H3O2 – + H2O ⇌ HC2H3O2 + OH– Protonated anions from polyprotic acids can be acids or bases: If Ka > Kb, the anion will be acidic; if Kb > Ka, the anion will be basic.
  • 119. 16.9 Give It Some Thought Will NO3 - ions affect the pH of a solution? What about CO3 2- ions?
  • 120. Cations Group I or Group II (Ca2+, Sr2+, or Ba2+) metal cations are neutral. Polyatomic cations are typically the conjugate acids of a weak base; e.g., NH4 +. Transition and post-transition metal cations are acidic. Why? (There are no H atoms in these cations!)
  • 121. Hydrated Cations Transition and post-transition metals form hydrated cations. The water attached to the metal is more acidic than free water molecules, making the hydrated ions acidic.
  • 122. Why do we need to use two different acid- base indicators in this figure? a. The concentration of nitrate affects the indication. b. The range of pH is too great for one indicator.
  • 123. Salt Solutions— Acidic, Basic, or Neutral? 1) Group I/II metal cation with anion of a strong acid: neutral 2) Group I/II metal cation with anion of a weak acid: basic (like the anion) 3) Transition/Post-transition metal cation or polyatomic cation with anion of a strong acid: acidic (like the cation) 4) Transition/Post-transition metal cation or polyatomic cation with anion of a weak acid: compare Ka and Kb; whichever is greater dictates what the salt is.
  • 124. Sample Exercise 16.18 Determine whether aqueous solutions of each of the following salts will be acidic, basic, or neutral: (a) Ba(CH3COO)2 (b) NH4Cl (c) CH3NH3Br (d) KNO3 (e) Al(ClO4)3
  • 125. Practice Exercise 1 Order the following solutions from lowest to highest pH: (i) 0.10 M NaClO (ii) 0.10 M KBr (iii) 0.10 M NH4ClO4 (a) i < ii < iii (b) ii < i < iii (c) iii < i < ii (d) ii < iii < i (e) iii < ii < i
  • 126. Practice Exercise 2 In each of the following, indicate which salt will form the more acidic (or less basic) 0.010 M solution:  A) NaNO3 or Fe(NO3)3  B) KBr or KBrO  C) CH3NH3Cl or BaCl2  D) NH4NO2 or NH4NO3
  • 127. Sample Exercise 16.19 Predicting Whether the Solution of an Amphiprotic Anion is Acidic or Basic Predict whether the salt Na2HPO4 will form an acidic solution or a basic solution on dissolving in water.
  • 128. Predict whether the dipotassium salt of citric acid (K2HC6H5O7) will form an acidic or basic solution in water (see Table 16.3 for data). Practice Exercise 2
  • 129. 16.10 Acid-Base Behavior and Chemical Structure
  • 130. Factors that Affect Acid Strength 1) H—A bond must be polarized with δ+ on the H atom and δ– on the A atom 2) Bond strength: Weaker bonds can be broken more easily, making the acid stronger. 3) Stability of A– : More stable anion means stronger acid.
  • 131. Binary Acids Binary acids consist of H and one other element. Within a group, H—A bond strength is generally the most important factor. Within a period, bond polarity is the most important factor to determine acid strength.
  • 132. Are the acid properties of HI what you would expect from this figure? a. Yes, HI is a strong acid. b. No, HI is a weak acid.
  • 133. Oxyacids Oxyacids consist of H, O, and one other element, which is a nonmetal. Generally, as the electronegativity of the nonmetal increases, the acidity increases for acids with the same structure.
  • 134. At equilibrium, which of the two species with a halogen atom (green) is present in greater concentration? a. HOCl b. OCl− c. Cannot tell from information given
  • 135. Oxyacids with Same “Other” Element If an element can form more than one oxyacid, the oxyacid with more O atoms is more acidic; e.g., sulfuric acid versus sulfurous acid. Another way of saying it: If the oxidation number increases, the acidity increases.
  • 136. 16.10 Give It Some Thought Which acid has the larger acid-dissociation constant, HIO2 or HBrO3?
  • 137. Sample Exercise 16.20 Predicting Relative Acidities from Composition and Structure Arrange the compounds in each of the following series in order of increasing acid strength: (a) AsH3, HBr, KH, H2Se (b) H2SO4, H2SeO3, H2SeO4.
  • 138. In each of the following pairs choose the compound that leads to the more acidic (or less basic) solution: (a) HBr, HF; (b) PH3, H2S; (c) HNO2, HNO3; (d) H2SO3, H2SeO3. Practice Exercise 2
  • 139. Carboxylic Acids Carboxylic acids are organic acids containing the —COOH group. Factors contributing to their acidic behavior: Other O attached to C draws electron density from O—H bond, increasing polarity. Its conjugate base (carboxylate anion) has resonance forms to stabilize the anion.
  • 140. 16.10 Give It Some Thought What group of atoms is present in all carboxylic acids?
  • 141. Sample Integrated Exercise Putting Concepts Together Phosphorous acid (H3PO3) has the following Lewis structure (a) Explain why H3PO3 is diprotic and not triprotic. (b) A 25.0-mL sample of a solution of H3PO3 is titrated with 0.102 M NaOH. It requires 23.3 mL of NaOH to neutralize both acidic protons. What is the molarity of the H3PO3 solution? (c) The original solution from part (b) has a pH of 1.59. Calculate the percent ionization and Ka1 for H3PO3, assuming that Ka1 >> Ka2. (d) How does the osmotic pressure of a 0.050 M solution of HCl compare qualitatively with that of a 0.050 M solution of H3PO3? Explain.