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Lecture Notes for
Chapter 2Aqueous Chemistry
Essential BiochemistryThird Edition
Charlotte W. Pratt | Kathleen Cornely
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!Hydrogen ions or protons combine with H2O to
form hydronium ions (H3O+)
! Probably delocalized
!Proton jumping
! H+relayed through network of water molecules
! Mobility greater than simple diffusion
!
Like crowd surfing
(Free) Protons Dont Exist2
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!
Ionization of water! H2O"#H
++ OH-
![H2O] (55.5 M) >> [H+] or [OH-]
! DefineKW, ionization constant of water
The pH Scale3
K=
H+!" #$ OH
%!" #$
H2O[ ]
KW = K H
2O[ ] = H+!" #$ OH
%!" #$
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If [H+] is > 10-7M, then [OH-] must be
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!Concentrations of H+and OH-on very small scale
!Lets convert to positive whole integers
!
pH = power of hydrogen(etymology uncertain)
pH Scale5
pH = ! log H+"# $%
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!What happens if [H+] increases
above 10-7M?
!Will the number in the exponent get
larger or smaller?!So, as solution gets more acidic, pH
decreases
pH Scale6
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+Acid-Base Chemistry
!Using Brnsted-Lowry definition of acids &
bases
!Acid = proton donating
!HCl + H2O#H3O++ Cl-
!Base = proton accepting
!NaOH + H3O+#Na++ 2H2O
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+Acid-Base Chemistry
!
Most biological acids/bases are not strong!CH3COOH + H2O"#CH3COO
-+ H3O+
!Ka= acid dissociation constant
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Much larger
K=
CH3COO
!"# $% H3O+"# $%
CH3COOH[ ] H2O[ ]
Ka = K H
2O[ ] =
CH3COO!"# $% H
+"# $%
CH3COOH[ ]
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+Acid-Base Chemistry
!Kastill a small numberlets do the whole integer
thing again
!The more acidic the compound, the larger the value
ofKa
!The larger the value ofKa, the smaller the value of pK
!As pK$, acid strength%
! Greater tendency to donate H+
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pK = pKa= ! logKa
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+Henderson-Hasselbalch
!How are pH and pKrelated?
!Consider the dissociation of a weak acid:
!HA = acid; A-= conjugate base
!Expression forKa:
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HA! A"
+ H+
Ka =
A!"# $% H
+"# $%
HA[ ]
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+ Henderson-Hasselbalch
!Rearrange:
!Take the (-) log of both sides
!Different form:
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!log H+"# $%= ! logKa! logHA[ ]A!"# $%
pH=pK+ logA!"# $%
HA[ ]
H+!" #$= Ka
HA[ ]A
%!" #$
Ka =
A!"# $% H
+"# $%
HA[ ]
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+Henderson-Hasselbalch
!
What happens when [A-] = [HA]?
!pH = pK
!So the pKis the pH at which!of the groups
are deprotonated (ionized)
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Conjugate base
Acid
Different forms
of same grouppH=pK+ logA!"# $%
HA[ ]
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+Henderson-Hasselbalch
!Many groups on biological molecules candonate or accept H+
!Act as acids and bases
! E.g. NH2/NH3+ and COO-/COOH on amino
acids
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pH=pK+ logA!"# $%
HA[ ]
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+Polyprotic acids ionize more than
once and have multiple pK
s!H3PO4= phosphoric acid pK1= 2.15
!H2PO4-= monobasic pK2= 6.82
!HPO42- = dibasic pK3= 12.38
!PO43-= tribasic
H3PO4 H2PO4- HPO4
2- PO43-
+
H+
+
H++
H+
pK1 pK2 pK3
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+Determining Protonation State
!When pH = pK, [HA] = [A-]; group is!protonated
!When pH < pK:
!So if pH < pK, the group is more protonated
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pH - pK = logA!"# $%
HA[ ]
If pH < pK, then pH - pK= (-) = logA!"# $%
HA[ ]
A!"# $%
HA[ ] A
!"# $%
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+Determining Protonation State
!When pH = pK, [HA] = [A-]
!When pH > pK:
!So if pH > pK, the group is more deprotonated
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pH - pK = logA!"# $%
HA[ ]
If pH > pK, then pH - pK= (+) = logA!"# $%
HA[ ]
A!"# $%
HA[ ]>1 and A
!"# $% > [HA]
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+Aqueous Buffers
!When you add a strong acid to water, all of the acid
contributes to pH$
! HCl#H++ Cl-
!
When you mix a strong acid with a weak acid(conjugate base), the pH change is less
! HCl + A-#HA + Cl-
! The conjugate base of the weak acid can accept some
of the H+
!Acid neutralized
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+Aqueous Buffers
!Same thing goes for strong base + weak acid
! NaOH + HA#Na++ A-+ H2O
! Weak acid donates H+to some of the OH-
!
Base neutralized
!Buffers resist pH changes
! Buffers: acid (HA) + conjugate base (A-)
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+Buffering Capacity
!
Titration curve for acetic acid
!Rapid change in pH at the start and end points
!More gradual change in-between
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!Best buffering capacity in
flat area of curve
!
~1 pH unit on either side ofmidpoint (pK)
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+Convenient Rule of Thumb
pH (range) = pK 1
! This means [A] = 10 [HA]
! This means [A] = 1/10 [HA] or [HA] = 10 [A-]
10
0.1
Buffers tend to resist changes in pH when [HA] and [A]
differ by no more than a factor of 10.
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+Maintaining pH in Blood
!
Normal internal pH is 6.9-7.4
!Metabolic reactions generate acid
! How can the pH be adjusted?
!
CO2(g) in blood forms carbonic acid (H2CO3):! CO2+ H2O"#H2CO3"#H
++ HCO3-
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pK~3.6
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+Maintaining pH in Blood
!
CO2(g) in blood forms carbonic acid (H2CO3):! CO2+ H2O"#H2CO3"#H
++ HCO3-
! Occurs spontaneously, but carbonic anhydrase helps
! Lungs expel CO2(g), pulls equilibrium away from low pH
!
Law of mass action
! Changes in lung function adjust blood pH in min or hours
!What about a more long term way of adjusting pH?
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+Maintaining pH Homeostasis
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!Kidneys play major role in buffering metabolic acids! Filter HCO3
- from bloodstream into kidney filtrate
! Need way to reclaim HCO3- for buffering acids inside the
kidney cell
1) Antiporter moves H+
out of cell and Na+
in (ionexchanger)
From
bloodstream
2) H+combines with HCO3-to
form CO2! CO2diffuses across membrane
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+Maintaining pH Homeostasis
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3) Converted back to HCO3- to
neutralize acids in the cell
! (H+pumped out)
Frombloodstream
Metabolites are in
constant motion
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+Maintaining pH Homeostasis
!How do you replenish bicarbonate in the bloodstream?
!Metabolic processes generate CO2
!
Use carbonic anhydrase to regenerate H++ HCO3-
!Pump H+out into filtrate (urine) and HCO3-into blood
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