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Self-Ionization of Water
• Two water molecules produce a hydronium ion & a hydroxide ion by the transfer of a proton.
• H2O (l) + H2O (l) H3O+(aq) + OH- (aq)
• In pure water, every time
you make one H3O+
you get one OH-
• That is, [H3O+] = [OH-]
IONIZATION CONSTANT OF WATER at 25°C
• Kw = [H3O+] [OH-]
• Kw = (1.0 x 10-7 M) x (1.0 x 10-7 M)
= 1.0 x 10-14 M2
ION PRODUCT CONSTANT FOR WATER at 25°C
• Kw = [H+] [OH-]
• Kw = (1.0 x 10-7 M) x (1.0 x 10-7 M)
= 1.0 x 10-14 M2
Neutral solutions
• Pure water is Neutral and
[H3O+] = [OH-]
• In any solution that is neutral,
[H3O+] = [OH-]
Ca(OH)2 Ca2+ (aq) + 2OH- (aq)
Therefore,1 mole of Ca(OH)2 will yield 2 mole of OH- in an aqueous solution.
H2SO4 2H+ (aq) + SO 42- (aq)
Therefore,1 mole of H2SO4 will yield 2 mole of H+
in an aqueous solution.
For any aqueous solution at 25°C
• Kw = [H3O+] [OH-] = 1.0 x 10-14 M2
• Using this equation,
if the concentration of one of the ions is known,
then, the concentration of the other can be calculated.
Exercise
• Determine the hydronium and hydroxide ion concentrations in a solution that is
1 x 10 -4 M HCl.
Answer:
[H3O+] = 1 x 10-4 M
[OH-] = 1 x 10-10 M
Exercise
• Determine the hydronium and hydroxide ion concentrations in a solution that is
1.0 x 10 -3 M HNO3.
Answer:
[H3O+] = 1.0 x 10-3 M
[OH-] = 1.0 x 10-11 M
Exercise
• Determine the hydronium and hydroxide ion concentrations in a solution that is
1.0 x 10 -4 M Ca(OH)2
Answer:
[H3O+] = 5.0 x 10-11 M
[OH-] = 2.0 x 10-4 M
pH
• Convenient way to express numbers that tend to be very small.
• pH = - log[H3O+]
• [H3O+] = 1 x 10-pH
• If [H3O+] = 1 x 10-7
then pH = 7
Calculating pH & pOH
• Determine the pH & pOH of the following solutions.
• 1) 1 x 10-3 M HClpH = 3.0 pOH = 11.0
• 2) 1 x 10-5 M HNO3
pH = 5.0 pOH = 9.0• 3) 1 x 10-4 M NaOH
pH = 10.0 pOH = 4.0
Calculating the pH & pOH
• What is the pH of a solution if the hydronium ion conc. is 6.7 x 10-4 M?
• pH = 3.17• What is the pH of a solution if the
hydronium ion conc. is 2.5 x 10-2 M?• pH = 1.60 pOH = 12.40• Determine the pH of a 2.0 x 10-2 M
Sr(OH)2 solution.• pH = 12.60
Calculating the hydronium and hydroxide ion concentrations
• The pH of a solution is 5.0. What is the hydronium ion concentration?
• 1 x 10-5 M
• The pH of an aqueous solution is measured to be 1.50. Calculate the hydronium ion and hydroxide ion concentrations.
• [H3O+] = 3.2 x 10-2 M [OH-] = 3.2 x 10-13 M
pH Calculations & the Strength of Acids and Bases
• For strong acids and bases, the hydronium and hydroxide ion concentrations can be directly calculated.
• For weak acids and bases, hydronium and hydroxide ion concentrations cannot be directly calculated because not all of the molecules are ionized.
Titrations
• Technique used to measure the amount of acid or base present in a solution.
• Involves an acid/base neutralization reaction
• Equivalence Point: point at which the two solutions used in the titration are present in chemically equivalent amounts.
• Endpoint: The point in a titration at which an indicator changes color.
Acid-Base Indicator
•. . . marks the end point of a titration by changing color.
•The equivalence point is not necessarily the same as the end point.
Most common acid-base indicators are weak acids, HIn
One color with H+ ( HIn )
Another color without H+ ( In-)
HIn H+ + In-
Red Blue
Titration (pH) Curve
• A plot of pH of the solution being analyzed as a function of the amount
of titrant added.
• Equivalence point (stoichiometric point): Enough titrant has been added to react exactly with the solution being analyzed.
Titration
• Concentration of one solution is known precisely : Standard solution
• Concentration of other solution calculated from the chemically equivalent volumes.
1. Salts that produce neutral solutions.
Composed of cations from strong bases and anions from strong acids.
Example: NaCl. NaNO3, KCl
2. Salts that produce basic solutions.
Composed of cations with neutral properties and anions which are the conjugate
base of a weak acid.
Example: NaCH3COOMajor species:
Na+ is neutralCH3COO- is conjugate base of weak acidH2O is weakly amphoteric
3. Salts that produce acidic solutions.
Composed of cations which are the conjugate acid of a weak base andanions with neutral properties.
Example: NH4ClMajor species: Cl-, H2O, & NH4
+
NH41+ (aq) NH3 (aq) + H1+ (aq)
Section 15.2 A Buffered Solution
•. . . resists change in its pH when either H+ or OH are added.
•1.0 L of 0.50 M H3CCOOH
– + 0.50 M H3CCOONa
• pH = 4.74•Adding 0.010 mol solid NaOH raises the pH of the solution to 4.76, a very minor change.
• One of the most practical applications of buffers is our blood.
• Most important one is the HCO3
- and H2CO3.
Buffered Solution Characteristics
Buffers contain relatively large amounts of weak acid and corresponding base.
Added OH reacts to completion with the weak acid.
OH- + HA A- + H2O The net result is the hydroxide is
replaced by A-.
Buffered Solution Characteristics
Buffers contain relatively large amounts of weak acid and corresponding base.
Added H+ reacts to completion with the weak base.
H+ + A- HA Free H+ converted to HA