Arrhenius Acid: A substance that dissociates in
water to produce hydrogen ions, H+.
Conjugate
Acid-Base Pairs: Chemical species whose
formulas differ only by one hydrogen ion, H+.
Base
Strength
HA(aq)
↔ H+ (aq) + A- (aq) Due to high reactivity of the hydrogen ion,
it is
actually hydrated by one or more water molecules.
(For our
purposes, H+ is equivalent to H3O+.)
Ion-Product Constant for Water: Kw =
[H3O+][OH-]
At 25oC: [H3O+]
= [OH-] = 1.0 x 10-7 M
Therefore: Kw
= (1.0 x 10-7)(1.0 x 10-7) = 1.0
x 10-14
Acidic
solution:
pH < 7
Basic
solution: pH
>7
Neutral
solution: pH
= 7
pH = -log[H3O+] &
[H3O+] = 10-pH
Example:
The hydronium ion concentration for lemon juice is approximately 0.0025.
What is the pH when [H3O+] = 0.0025 M?
Answer:
pH = -log(0.0025) = 2.6
Example:
Calculate the pH of an aqueous ammonia solution that has an OH-
concentration of 0.0019 M.
Acid-Base
Indicator: A substance that changes color in a
specific pH range. Indicators exhibit pH-dependent color changes because they
are weak acids and have different colors in their acid (HIn)
and conjugate base (In-) forms.
HIn(aq)
+ H2O(l) ↔ H3O+(aq)
+ In-(aq)
Color A Color
B
The pH in Solutions
of Strong Acids and Strong Bases:
What is the pH of a 0.025 M solution of HNO3?
Since HNO3 is a strong acid,
then [H3O+] = [HNO3].
So… pH = -log([H3O+])
= -log(0.025) = 1.60
What is the pH of a 0.025 M solution of NaOH?
Since NaOH is a strong
base, then [OH-] = [NaOH].
So…[H3O+]
= 1
x 10-14/[OH-] = 1 x 10-14/ 0.025 = 4.0 X 10-13
M
pH = -log([H3O+])
= -log(4.0 x 10-13 ) = 12.40
Equilibria in Solutions of Weak Acids
Acid-Dissociation Constant:
Example: The pH of 0.250 M HF is 2.036. What are the
values of Ka and pKa
for hydrofluoric
acid?
x
= [H3O+] = 10-2.036 = 0.00920 M
Example: Calculate the pH of a 0.10 M HCN solution. At
25 °C,
Ka = 1.4 x 10-9.
Percent
Dissociation in Solutions of Weak Acids
Polyprotic Acids
Example: Calculate the pH of a 0.020 M H2CO3
solution. At 25 °C,
Ka1 = 4.3 x 10-7.
Equilibria in Solutions of Weak Bases
Example: Calculate the pH of a 0.40 M NH3 solution. At
25 °C, Kb = 1.8 x 10-5.
Relationship
between Ka andv
Kb
Salts That Yield Neutral Solutions
The following ions do
not react appreciably with water to produce either
H3O+
or OH- ions:
•
Cations from strong bases:
•
Alkali metal cations of group 1a (Li+, Na+, K+)
•
Alkaline earth metal cations of group 2a
(Mg2+, Ca2+, Sr2+,
Ba2+), except for Be2+
•
Anions from strong monoprotic acids:
•
Cl-,
Br-, I-, NO3-, and ClO4-
Salts
That Yield Acidic Solutions
Salts such as NH4Cl
that are derived from a weak base (NH3) and a strong acid (HCl) yield acidic solutions.
NH4+(aq) + H2O(l) ↔
HCN(aq) + OH-(aq)
Ammonium ion (NH4+)
is the conjugate acid of the weak base ammonia (NH3) while chloride
ion (Cl-) is neither acidic nor basic.
The acidity of hydrated main-group cations
increases from left to right in the periodic table as the metal ion charge
increases and the metal ion size decreases:
Li+ < Be2+
Salts That Yield Basic Solutions
Salts such as NaCN that are derived from a
strong base (NaOH) and a weak acid (HCN) yield basic
solutions.
CN-(aq) + H2O(l) ↔ HCN(aq)
+ OH-(aq)
Cyanide ion (CN-) is the conjugate base of the weak acid
hydrocyanic acid (HCN) while sodium ion (Na+) is neither acidic nor
basic.
Salts That Contain Acidic Cations and Basic Anions
The pH of an ammonium carbonate solution, (NH4)2CO3,
depends on the relative acid strength of the cation
and the relative base strength of the anion.
Three possibilities:
• Ka > Kb: The solution will contain an excess of H3O+ ions (pH < 7).
• Ka < Kb: The solution will contain an excess of OH- ions (pH > 7).
The extent of
dissociation of an acid is often determined by the strength and
polarity of
the H-A bond.
Oxoacids containing the
same number of OH groups and the same number
of O atoms have
the acid strength bases on increases in the electronegativity
of the nonmetal associated with the oxygen
.
Oxoacids containing the
same nonmetallic atom have their acid strength
based on different
number of oxygen aton. Acid strength increases as
numbers of oxygen
increases.