Acid-Base Part 2
The process of adding a strong acid or a strong base
to a titrate of acid or base with the purpose of neutralizing the substance in the beaker
Looking to reach equivalence point mol H+ = mol OH
Generally done with a pH probe, which is used to
create a graph of pH vs. volume added
Acid-Base Titration
p
H
Ways to find the equivalence point
1. Can find it stoichiometrically using stoichiometry for the
neutralization reaction
mol H+ = mol OH- stoichiometrically
Ways to find the equivalence point
2. Can find it graphically based on pH vs. volume graph
When the titrate is neutralized completely by the titrant, the pH
changes dramatically
The midpoint of this dramatic change is the equivalence point – the middle of the area where neutralization is happening
• If the pH at the equivalence point is known, an
indicator can be used
• Want the pKa of the indicator to match the pH at the
equivalence point
• Indicator will then change color as pH changes
dramatically, giving visual end to the titration
They are weak acids and weak bases themselves!
Given Ka of possible indicators
RANGE of indicators = pKa ± 1 (10/1 or 1/10 ratio of A/B) Ex – bromothymol blue has Ka = 1.0 x 10-7
HA side of indicator = yellow, A- side of indicator = blue
Need to be able to EXPLAIN the shape of the curve at
ALL points through the titration
What happens initially after a small amount of acid/base
added
When excess of the titrant still remains What happens near the equivalence point
What happens beyond the equivalence point – when excess
of the strong acid or strong base used as a titrate is added
Calculate the initial pH of acid/base in the beaker
Normal acid/base calculation for strong or weak acid/base
Calculate the pH at the halfway point of the titration
Or use pH at halfway point to find K
a or Kb of substance titrated
Calculation of the pH at the equivalence point
OR using the equivalence point to find the concentration of unknown
acid/base you are titrating
Calculation of the pH at a point beyond the equivalence point
1. Strong acid titrated with a strong base
2. Strong base titrated with a strong acid
3. Weak acid titrated with a strong base
4. Weak base titrated with a strong acid
5. Polyprotic acid titrated with a strong base
Example – you have 50.0 mL of 0.200 M HNO
3 and
look to titrate it with 0.100 M NaOH
Find initial pH
Example – you have 50.0 mL of 0.200 M HNO
3 and
look to titrate it with 0.100 M NaOH
Strong Acid titrated with Strong
Base
p
H
Volume added
Example – you have 50.0 mL of 0.200 M HNO
3 and
look to titrate it with 0.100 M NaOH
Find pH at halfway point
Upon adding strong base, there is a very SMALL
change as long as there is still excess acid.
Strong Acid titrated with Strong
Base
p
H
Volume added
Example – you have 50.0 mL of 0.200 M HNO
3 and
look to titrate it with 0.100 M NaOH
Find pH at equivalence point
As the equivalence point is reached, there begins to
be a dramatic jump in pH as moles acid = moles base
Strong Acid titrated with Strong
Base
p
H
Volume added
Even just beyond the equivalence point, the addition
of excess base leads to a basic pH
Strong Acid titrated with Strong
Base
p
H
Volume added
Excess base now = jump to high pH Midpoint =
Example – you have 50.0 mL of 0.200 M HNO
3 and
look to titrate it with 0.100 M NaOH
Find pH after 150.0 mL of NaOH has been added
As more excess strong base is added, there is NOT a
dramatic change in pH
Strong Acid titrated with Strong
Base
p
H
Volume added
Same excess base = no dramatic
OPPOSITE!!!!!
To find initial pH –
To find pH at halfway point –
To find pH at equivalence point –
To find pH beyond equivalence point -
OPPOSITE!!!!!
Create a titration curve
If molarity of original acid isn’t known, you can use
the curve to find its molarity. HOW??? That’s what you’re designing!!!
Example – you have 50.0 mL of 0.100 M HC
2H3O2 with
0.100 M NaOH (Ka of acetic acid = 1.8 x 10-5)
Find initial pH
Still starts at a low pH (though not quite as low) with
weak acid in beaker
WEAK Acid titrated with Strong
Base
p
H
Volume added
The REACTION that occurs is now slightly different:
HC2H3O2 + OH- C
2H3O2- + H2O
WEAK Acid titrated with Strong Base
The REACTION that occurs is now slightly different:
HC2H3O2 + OH- C
2H3O2- + H2O
WEAK Acid titrated with Strong Base
Initial spike in pH due to formation of the conjugate base. Then
mostly levels off as with both weak acid and conjugate base you have a BUFFER.
WEAK Acid titrated with Strong
Base
p
H
Volume added
Example – you have 50.0 mL of 0.100 M HC
2H3O2 with
0.100 M NaOH (Ka of acetic acid = 1.8 x 10-5)
Find pH at halfway point
Ratio of weak acid to conjugate base is the same
Half of weak acid used up, equal amount of conjugate base
formed
pH = pKa!!!
Example – you have 50.0 mL of 0.100 M HC
2H3O2 with
0.100 M NaOH (Ka of acetic acid = 1.8 x 10-5)
Find pH at equivalence point
As the equivalence point is reached, there again is the point
where the base neutralizes all of the acid and there is a significant jump in pH. The pH at the equivalence point is GREATER than 7 since the GOOD conjugate base remains.
WEAK Acid titrated with Strong
Base
p
H
Volume added
Dramatic jump up as equivalence point is reached again
Even just beyond the equivalence point, the addition
of excess base leads to a basic pH
WEAK Acid titrated with Strong Base
p
H
Volume added
Excess base now = jump to high pH Midpoint =
equivalence point =
As more excess strong base is added, there is NOT a
dramatic change in pH
WEAK Acid titrated with Strong
Base
p
H
Volume added
Same excess base = no dramatic
Example – you have 50.0 mL of 0.100 M HC
2H3O2 with
0.100 M NaOH (Ka of acetic acid = 1.8 x 10-5)
Find pH after 100.0 mL NaOH added
OPPOSITE!!!!!
To find initial pH –
To find pH at halfway point –
To find pH at equivalence point –
To find pH after equivalence point -
OPPOSITE!!!!!
Create a titration curve
If the identity and the K
a / Kb of a weak acid or a weak
base are not known, you can determine it. HOW??? That’s what you’re designing!!!
Acids that have more than one H+
That means there will be more than one equivalence point!!
Each H+ reacted must be neutralized with a stoichiometric amount
of base
Example – H
2CO3 with NaOH
Titration of a polyprotic acid with a strong base.
What would this look like? Why would it look that way?