3. TITRATIONS
Equivalence point: The point (pH) in the titration when an
equal number of moles of acid and base have been added
End point: The point (pH) at which the indicator changes
colour indicating an end to the titration
For a successful titration, choose an indicator that
changes colour at a pH value close to the pH at the
equivalence point.
6. Indicator RangesIndicator Ranges
TITRATIONS
Strong acid + Strong base titration: resulting solution has a pH = 7, so
bromothymol blue could be used (pH range is 6.0 – 7.6)
Weak acid + Strong base titration: resulting solution has a pH > 7 so
phenolphthalein could be used (pH range is 8.2 – 10.0)
Strong acid + weak base titration: resulting solution has a pH < 7 so
methyl orange could be used (pH range is 3.1 – 4.4)
9. Basic Calculations (Gr. 11)Basic Calculations (Gr. 11)
Example #1
If it takes 54.0 mL of 0.1 M NaOH to neutralize
125.0 mL of an HCl solution. What is the
concentration of the HCl?
NaOH(aq) + HCl(aq) NaCl(aq) + H2O(l)
nNaOH=CV
nNaOH=(0.1M)(0.0540L)
nNaOH=5.4x10-3
mol NaOH = nHCl
CHCl = n
V
CHCl = 5.4x10-3
0.1250L
CHCl = 0.0432M
.: [HCl] = 0.0432M
TITRATIONS
10. Example #2Example #2
What is the pH of the final solution where 30.0 mL
of 0.1 M NaOH is mixed with 18.0 mL of 0.5 M
HCl?
Do you have a good guess as to whether the final
solution is acidic or basic?
NaOH(aq) + HCl(aq) NaCl(aq) + H2O(l)
nNaOH=CV
nNaOH=(0.1M)(0.0300L)
nNaOH=0.00300mol
nHCl=CV
nHCl=(0.5M)(0.0180L)
nHCl=0.00900mol
nHCl leftover=0.00900mol-0.00300mol
nHCl leftover=0.00600mol HCl leftover
pH = -log [H+
]
pH = -log [0.125M]
pH = 0.9
.: the pH is 0.9
C=nHCl leftover= 0.00600mol = 0.125M
V 0.048L
TITRATIONS
11. Example #2Example #2
What is happening at the chemical level?
NaOH Na+ + OH-
HCl H+ + Cl-
The OH-
and H+
ions come together to
produce H2O. The remaining ions will
determine the final pH of the solution.
TITRATIONS
14. BuffersBuffers
Buffer solutions contain a mixture of an
acid and its conjugate base or a base with
its conjugate acid.
Due to the presence of the conjugate acid-
base pair, the addition of more acid or
base will not cause the pH to drastically
change.
STRONG-WEAK TITRATIONS & BUFFERS
15. BuffersBuffers
Buffers are important in biological systems
where large changes in pH could be
detrimental to the organism.
Almost all organic substances in our body
act as a buffer.
H2O + CO2 <===> H2CO3 <===> H+
+ HCO3
-
Weak acid
(CO2 controlled by lungs)
Weak base
(Controlled by kidneys)
STRONG-WEAK TITRATIONS & BUFFERS
19. Strong-Weak TitrationsStrong-Weak Titrations
Two-step process:
1. All OH-
ions from the strong base will
react with H+
to produce H2O.
2. Equilibrium is shifted to the right.
3. pH is then calculated from the new
equilibrium based on the remaining [H+
].
STRONG-WEAK TITRATIONS & BUFFERS
20. Strong Weak TitrationsStrong Weak Titrations
Example #4
What happens when you add a strong acid
to a weak base?
NH3 + H2O <===> NH4
+
+ OH-
HCl H+
+ Cl-
STRONG-WEAK TITRATIONS & BUFFERS
21. Strong-Weak TitrationsStrong-Weak Titrations
Two-step process:
1. All H+
ions from the strong acid will
react with OH-
to produce H2O.
2. Equilibrium is shifted to the right.
3. pH is then calculated from the new
equilibrium based on the remaining [H+
].
STRONG-WEAK TITRATIONS & BUFFERS
22. BuffersBuffers
Too much acid = acidosis
H2O + CO2 <===> H2CO3 <===> H+
+ HCO3
-
Respiratory (Lungs) Acidosis: Metabolic (Kidneys) Acidosis:
STRONG-WEAK TITRATIONS & BUFFERS
23. BuffersBuffers
Too much base = alkalosis
H2O + CO2 <===> H2CO3 <===> H+
+ HCO3
-
Respiratory (Lungs) Alkalosis: Metabolic (Kidneys) Alkalosis:
STRONG-WEAK TITRATIONS & BUFFERS
24. Buffer EquationsBuffer Equations
The following can be used to determine ion
concentrations in buffers:
Acid Buffer:
[H+
] = Ka x [HA] HA = acid
[A-
] A-
= conjugate base
Base Buffer:
[OH-
] = Kb x [B] B = base
[HB+
] HB+
= conjugate acid
STRONG-WEAK TITRATIONS & BUFFERS
25. Buffer EquationsBuffer Equations
Alternatively, you can use moles instead of
concentration to get the same answer:
Acid Buffer:
[H+
] = Ka x moles of HA HA = acid
moles of A-
A-
= conjugate base
Base Buffer:
[OH-
] = Kb x moles of B B = base
moles of HB+
HB+
= conjugate acid
STRONG-WEAK TITRATIONS & BUFFERS
26. A 1.00 L sample of an aqueous solution contains 0.200 mol of
acetic acid and 0.100 mol of acetate. Calculate:
a) The pH of the solution
b) The pH of the solution after adding 1.00 mL of 12.0 M HCl
Buffer EquationsBuffer Equations
STRONG-WEAK TITRATIONS & BUFFERS
27. A 1.00 L sample of an aqueous solution contains 0.200 mol of acetic acid and 0.100 mol of acetate. Calculate:
a) The pH of the solution
b) The pH of the solution after adding 1.00 mL of 12.0 M HCl
Buffer EquationsBuffer Equations
[H+
] = Ka x [moles HA]
[moles A-
]
a)
[H+
] = (1.8 x 10-5
) x (0.200 mol)
(0.100 mol)
[H+
] = 0.000036 mol/L
pH = -log [H+
] 0.000036 mol/L
pH = -log (0.000036 mol/L)
pH = 4.44
.: pH = 4.44
HC2H3O2(aq) <===> H+
(aq) + C2H3O2
-
(aq)
STRONG-WEAK TITRATIONS & BUFFERS
28. A 1.00 L sample of an aqueous solution contains 0.200 mol of acetic acid and 0.100 mol of acetate. Calculate:
a) The pH of the solution
b) The pH of the solution after adding 1.00 mL of 12.0 M HCl
Buffer EquationsBuffer Equations
b) moles HCl: n = C x V
n = (12 M)(0.001L)
n = 0.012 mol
Assume this produces 0.012 mol of acetic acid and uses up 0.012 mol of acetate
moles acetic acid: 0.200 + 0.012 = 0.212 mol
moles acetate: 0.100 - 0.012 = 0.088 mol
[H+
] = Ka x mols HC2H3O2
mols C2H3O2
-
[H+
] = (1.8x10-5
) x (0.212 mol)
(0.088 mol)
[H+
] = 4.3363 x 10-5
pH = -log [H+
]
pH = -log (4.3363 x 10-5
)
pH = 4.36
.: pH = 4.36
STRONG-WEAK TITRATIONS & BUFFERS
29. The Effect of Adding a Strong Acid or Base to a BufferThe Effect of Adding a Strong Acid or Base to a Buffer
STRONG-WEAK TITRATIONS & BUFFERS
30. The Capacity of a BufferThe Capacity of a Buffer
The amount of added H3O+
or OH-
that a buffer
can absorb without a significant change in pH
STRONG-WEAK TITRATIONS & BUFFERS