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TITRATIONS & BUFFERS
TITRATIONS
Purpose:
To determine the
unknown
concentration of
the acid.
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.
Titration CurveTitration Curve
TITRATIONS
Indicator RangesIndicator Ranges
TITRATIONS
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)
Indicator RangesIndicator Ranges
TITRATIONS
IndicatorsIndicators
How do indicators work?
Through equilibrium!
+ H+
Phenolphthalein
TITRATIONS
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
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
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
STRONG-WEAK TITRATIONS
& BUFFERS
Strong-Weak Titration CurvesStrong-Weak Titration Curves
STRONG-WEAK TITRATIONS & BUFFERS
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
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
BuffersBuffers
STRONG-WEAK TITRATIONS & BUFFERS
Buffers in Food, Drink & MedicinesBuffers in Food, Drink & Medicines
Sodium citrate + citric acid : buffer in food that
acts like a preservative
Citric acid + calcium citrate: buffer that deters
bacterial growth
Aspartame: decomposition is pH dependent
Medicines: coating reduces the risk of upset
stomach
BuffersBuffers
STRONG-WEAK TITRATIONS & BUFFERS
Strong-Weak TitrationsStrong-Weak Titrations
Example #3
What happens when you add a strong base
to a weak acid?
CH3COOH <===> CH3COO-
+ H+
NaOH  Na+
+ OH-
STRONG-WEAK TITRATIONS & BUFFERS
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
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
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
BuffersBuffers
Too much acid = acidosis
H2O + CO2 <===> H2CO3 <===> H+
+ HCO3
-
Respiratory (Lungs) Acidosis: Metabolic (Kidneys) Acidosis:
STRONG-WEAK TITRATIONS & BUFFERS
BuffersBuffers
Too much base = alkalosis
H2O + CO2 <===> H2CO3 <===> H+
+ HCO3
-
Respiratory (Lungs) Alkalosis: Metabolic (Kidneys) Alkalosis:
STRONG-WEAK TITRATIONS & BUFFERS
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
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
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
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
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
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
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

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Tang 06 titrations &amp; buffers

  • 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)
  • 8. IndicatorsIndicators How do indicators work? Through equilibrium! + H+ Phenolphthalein TITRATIONS
  • 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
  • 13. Strong-Weak Titration CurvesStrong-Weak Titration Curves STRONG-WEAK TITRATIONS & BUFFERS
  • 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
  • 17. Buffers in Food, Drink & MedicinesBuffers in Food, Drink & Medicines Sodium citrate + citric acid : buffer in food that acts like a preservative Citric acid + calcium citrate: buffer that deters bacterial growth Aspartame: decomposition is pH dependent Medicines: coating reduces the risk of upset stomach BuffersBuffers STRONG-WEAK TITRATIONS & BUFFERS
  • 18. Strong-Weak TitrationsStrong-Weak Titrations Example #3 What happens when you add a strong base to a weak acid? CH3COOH <===> CH3COO- + H+ NaOH  Na+ + OH- 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