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Acids and bases, pH and buffers
Dr. Mamoun Ahram
Lecture 2
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ACIDS AND BASES
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Acids versus bases
Acid: a substance that produces H+ when dissolved
in water (e.g., HCl, H2SO4)
Base: a substance that produces OH- when dissolvedin water (NaOH, KOH)
What about ammonia (NH3)?
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Brnsted-Lowry acids and bases
The Brnsted-Lowry acid: any substance able to give
a hydrogen ion (H+-a proton) to another molecule
Monoprotic acid: HCl, HNO3, CH3COOH
Diprotic acid: H2SO4
Triprotic acid: H3PO3
Brnsted-Lowry base: any substance that accepts aproton (H+) from an acid
NaOH, NH3, KOH
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Acid-base reactions
A proton is transferred from one substance (acid) to
another molecule
Ammonia (NH3) + acid (HA)ammonium ion (NH4+) + A-
Ammonia is base HA is acid
Ammonium ion (NH4+) is conjuagte acid
A-is conjugate base
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Water: acid or base?
Both
Products: hydronium ion (H3O+) and hydroxide
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Amphoteric substances
Example: water
NH3 (g)+ H2O(l) NH4+
(aq)+ OH
(aq)
HCl(g)+ H2O(l) H3O+
(aq)+ Cl-(aq)
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Acid-base reactions
Acid + basesalt + H2O
Exceptions:
Carbonic acid (H2CO3)-Bicarbobate ion (HCO3-)
Ammonia (NH3)-
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Acid/base
strength
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Rule
The stronger the acid, the weaker the conjugate base
HCl(aq)H+(aq)+ Cl-(aq)
NaOH(aq)Na+(aq)+ OH-(aq)
HC2H3O2 (aq) H+(aq)+ C2H3O2-(aq)
NH3 (aq)+ H2O(l)NH4+
(aq)+ OH-(aq)
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Equilibrium constant
HA H+ + A-
Ka
: >1 vs.
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Expression
Molarity (M)
Normality (N)
Equivalence (N)
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Molarity of solutions
moles = grams / MW
M = moles / volume (L)
grams = M x vol (L) x MW
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Exercise
How many grams do you need to make 5M NaCl
solution in 100 ml (MW 58.4)?
grams = 58.4 x 5 moles x 0.1 liter = 29.29 g
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Normal solutions
N= n x M (where n is an integer)
n =the number of donated H+
Remember!
The normality of a solution is NEVER less than themolarity
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Equivalents
The amount of molar mass (g) of hydrogen ions that
an acid will donate
or a base will accept
1M HCl = 1M [H+] = 1 equivalent
1M H2SO4 = 2M [H+] = 2 equivalents
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Exercise
What is the normality of H2SO3solution made by
dissolving 6.5 g into 200 mL? (MW = 98)?
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Example
One equivalent of Na+ = 23.1 g
One equivalent of Cl- - 35.5 g
One equivalent of Mg+2 = (24.3)/2 = 12.15 g
Howework:
Calculate milligrams of Ca+2 in blood if total
concentration of Ca+2 is 5 mEq/L.
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Titration
The concentration of acids and bases can be
determined by titration
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Excercise
A 25 ml solution of 0.5 M NaOH is titrated until
neutralized into a 50 ml sample of HCl. What was the
concentration of the HCl?
Step 1 - Determine [OH-] Step 2 - Determine the number of moles of OH-
Step 3 - Determine the number of moles of H+
Step 4 - Determine concentration of HCl
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A 25 ml solution of 0.5 M NaOH is titrated
until neutralized into a 50 ml sample of HCl
Moles of base = Molarity x Volume
Moles base = moles of acid
Molarity of acid= moles/volume
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Another method
MacidVacid= MbaseVbase
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Note
What if one mole of acid produces two moles of H+
MacidVacid= 2MbaseVbase
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Homework
If 19.1 mL of 0.118 M HCl is required to neutralize
25.00 mL of a sodium hydroxide solution, what is the
molarity of the sodium hydroxide?
If 12.0 mL of 1.34 M NaOH is required to neutralize
25.00 mL of a sulfuric acid, H2SO4, solution, what is
the molarity of the sulfuric acid?
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Equivalence point
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Ionization of water
H3O+ = H+
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Equilibrium constant
Keq = 1.8 x 10-16M
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Kw
Kw is called the ion product for water
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PH
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What is pH?
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Acid dissociation constant
Strong acid
Strong bases
Weak acid
Weak bases
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pKa
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What is pKa?
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HENDERSON-HASSELBALCHEQUATION
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The equation
pKa is the pH where 50% of acid is dissociated into
conjugate base
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BUFFERS
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Maintenance of equilibrium
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What is buffer?
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Titration
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Midpoint
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Buffering capacity
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Conjugate bases
Acid Conjugate base
CH3COOH CH3COONa (NaCH3COO)
H3PO4 NaH2PO4
H2PO4- (or NaH2PO4) Na2HPO4
H2CO3 NaHCO3
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How do we choose a buffer?
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Problems and solutions
A solution of 0.1 M acetic acid and 0.2 M acetate ion. The pKa of
acetic acid is 4.8. Hence, the pH of the solution is given by
Similarly, the pKa of an acid can be calculated
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Exercise
What is the pH of a buffer containing 0.1M HF and
0.1M NaF? (Ka = 3.5 x 10-4)
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Homework
What is the pH of a solution containing 0.1M HF and
0.1M NaF, when 0.02M NaOH is added to the
solution?
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At the end point of the buffering capacity of a buffer,
it is the moles of H+and OH-that are equal
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Exercise
What is the concentration of 5 ml of acetic acid
knowing that 44.5 ml of 0.1 N of NaOH are needed to
reach the end of the titration of acetic acid? Also,
calculate the normality of acetic acid.
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Polyprotic weak acids
Example:
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Hence
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Excercise
What is the pH of a lactate buffer that contain 75%
lactic acid and 25% lactate? (pKa = 3.86)
What is the pKa of a dihydrogen phosphae bufferwhen pH of 7.2 is obtained when 100 ml of 0.1 M
NaH2PO3 is mixed with 100 ml of 0.1 M Na2HPO3?
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Buffers in human body
Carbonic acid-bicarbonate system (blood)
Dihydrogen phosphate-monohydrogen phosphate
system (intracellular)
Proteins
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Blood buffering
CO2 + H20 H2CO3 H+ + HCO3-
Blood (instantaneously)
Lungs(within
minutes)
Excretion viakidneys (hours
to days)
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Roles of lungs and kidneys
Maintaining blood is balanced by the kidneys and the
lungs
Kidneys control blood HCO3 concentration ([HCO3])
Lungs control the blood CO2 concentration (PCO2)
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Calculations
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Acidosis and alkalosis
Can be either metabolic or respiratory
Acidosis:
Metabolic: production of ketone bodies (starvation)
Respiratory: pulmonary (asthma; emphysema)
Alkalosis:
Metabolic: administration of salts or acids Respiratory: hyperventilation (anxiety)
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Acid-Base Imbalances
pH< 7.35 acidosis
pH > 7.45 alkalosis
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Respiratory Acidosis
H+
+ HCO3-
H2CO3 CO2+ H2O
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Respiratory Alkalosis
H++ HCO3- H2CO3 CO2+ H2O
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Metabolic Acidosis
H+
+ HCO3-
H2CO3 CO2+ H2O
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Metabolic Alkalosis
H++ HCO3- H2CO3 CO2+ H2O