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The Chemistry of Acids and Bases
  • Chapter 17
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Acid and Bases
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Acid and Bases
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Acid and Bases
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Strong and Weak Acids/Bases
  • Generally divide acids and bases into STRONG or WEAK ones.
  • STRONG ACID:  HNO3(aq)   +  H2O(liq)   ---> H3O+(aq)   +   NO3-(aq)
  • HNO3 is about 100% dissociated in water.


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"Weak acids are much less..."
  • Weak acids are much less than 100% ionized in water.
  • One of the best known is acetic acid = CH3CO2H


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"Strong Base:"
  • Strong Base:  100% dissociated in water.
  •   NaOH(aq)   --->  Na+(aq)  +   OH-(aq)




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"Weak base:"
  • Weak base:  less than 100% ionized in water
  • One of the best known weak bases is ammonia
  • NH3(aq) + H2O(liq)  e  NH4+(aq) + OH-(aq)
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ACID-BASE THEORIES
  • The most general theory for common aqueous acids and bases is the BRØNSTED - LOWRY theory
  • ACIDS DONATE H+ IONS
  • BASES ACCEPT H+ IONS
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ACID-BASE THEORIES
  • The Brønsted definition means NH3 is a BASE in water — and water is itself an ACID




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ACID-BASE THEORIES
  • NH3 is a BASE in water — and water is itself an ACID
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Conjugate Pairs
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More About Water
  • H2O can function as both an ACID and a BASE.
  • In pure water there can be AUTOIONIZATION
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More About Water
  • Kw  =  [H3O+] [OH-] =  1.00 x 10-14 at 25 oC
  • In a neutral solution [H3O+] =  [OH-]
  • so Kw  =  [H3O+]2 = [OH-]2
  • and so [H3O+] =  [OH-]  = 1.00 x 10-7 M
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Calculating [H3O+] & [OH-]
  • You add 0.0010 mol of NaOH to 1.0 L of pure water. Calculate [H3O+] and [OH-].
  • Solution
  • 2 H2O(liq)  e  H3O+(aq)  +   OH-(aq)
  • Le Chatelier predicts equilibrium shifts to the ____________.
  • [H3O+] < 10-7 at equilibrium.
  • Set up a ICE table.
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Calculating [H3O+] & [OH-]
  • You add 0.0010 mol of NaOH to 1.0 L of pure water. Calculate [H3O+] and [OH-].
  • Solution


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Calculating [H3O+] & [OH-]
  • You add 0.0010 mol of NaOH to 1.0 L of pure water. Calculate [H3O+] and [OH-].
  • Solution
  • 2 H2O(liq)  e  H3O+(aq)  +   OH-(aq)
  • [H3O+]  =  Kw / 0.0010  =  1.0 x 10-11 M
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[H3O+], [OH-] and pH
  • A common way to express acidity and basicity is with pH
  • pH = log (1/ [H3O+])  =  - log [H3O+]
  • In a neutral solution, [H3O+]  =  [OH-] = 1.00 x 10-7 at 25 oC
  • pH  =  -log (1.00 x 10-7)  =  - (-7)  =  7
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[H3O+], [OH-] and pH
  • What is the pH of the 0.0010 M NaOH solution?
  • [H3O+]  =  1.0 x 10-11 M
  • pH = - log (1.0 x 10-11) = 11.00
  • General conclusion —
  •   Basic solution pH > 7
  •   Neutral pH = 7
  •   Acidic solution pH < 7
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[H3O+], [OH-] and pH
  • If the pH of Coke is 3.12, it is ____________.
  • Because pH = - log [H3O+] then
  •   log [H3O+]  =  - pH
  • Take antilog and get
  • [H3O+]  =  10-pH
  • [H3O+]  =  10-3.12  =  7.6 x 10-4 M
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pH of Common Substances
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Other pX Scales
  • In general pX  =  -log X
  • and so pOH  =  - log [OH-]
  •  Kw = [H3O+] [OH-] =  1.00 x 10-14 at 25 oC
  • Take the log of both sides
  •  -log (10-14)  = - log [H3O+]  +  (-log [OH-])
  •  pKw = 14 = pH + pOH


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Equilibria Involving
Weak Acids and Bases
  • Aspirin is a good example of a weak acid,
    Ka = 3.2 x 10-4
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Equilibria Involving
Weak Acids and Bases
  •   Acid Conjugate Base
  • acetic, CH3CO2H CH3CO2-, acetate
  • ammonium, NH4+ NH3, ammonia
  • bicarbonate, HCO3- CO32-, carbonate
  • A weak acid (or base) is one that ionizes to a VERY small extent (< 5%).
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Equilibria Involving
Weak Acids and Bases
  • Consider acetic acid, CH3CO2H (HOAc)
  • HOAc   +   H2O  e  H3O+    +     OAc-
  • Acid     Conj. base


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Equilibrium Constants 
for Weak Acids
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Equilibrium Constants 
for Weak Bases
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Ionization Constants for Acids/Bases
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Relation of Ka, Kb, [H3O+] and pH
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K and Acid-Base Reactions
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K and Acid-Base Reactions
  • A strong acid is 100% dissociated.
  • Therefore, a STRONG ACID—a good H+ donor—must have a WEAK CONJUGATE BASE—a poor H+ acceptor.
  •  HNO3(aq) + H2O(liq)  e  H3O+(aq) + NO3-(aq)
  •  STRONG A    base           acid               weak B


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K and Acid-Base Reactions
  • We know from experiment that HNO3 is a strong acid.
  • 1. It is a stronger acid than H3O+
  • 2. H2O is a stronger base than NO3-
  • 3. K for this reaction is large
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K and Acid-Base Reactions
  • Acetic acid is only 0.42% ionized when [HOAc] = 1.0 M. It is a WEAK ACID
  • HOAc       +      H2O   e   H3O+       +     OAc-
  • WEAK A      base         acid       STRONG B
  • Because [H3O+] is small, this must mean
  • 1. H3O+ is a stronger acid than HOAc
  • 2. OAc- is a stronger base than H2O
  • 3. K for this reaction is small
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Types of Acid/Base Reactions
  • Strong acid + Strong base
  • H+ + Cl- + Na+ + OH-   e   H2O + Na+ + Cl-
  • Net ionic equation
  • H+(aq) + OH-(aq)   e   H2O(liq)
  • K = 1/Kw = 1 x 1014


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Types of Acid/Base Reactions
  • Weak acid + Strong base
  • CH3CO2H + OH-   e  H2O + CH3CO2-
  • This is the reverse of the reaction of CH3CO2- (conjugate base) with H2O.
  • OH- stronger base than CH3CO2-
  • K = 1/Kb = 5.6 x 104


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Types of Acid/Base Reactions
  • Strong acid + Weak base
  • H3O+ + NH3  e  H2O + NH4+
  • This is the reverse of the reaction of NH4+ (conjugate acid of NH3) with H2O.
  • H3O+ stronger acid than NH4+
  • K = 1/Ka = 5.6 x 104


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Types of Acid/Base Reactions
  • Weak acid + Weak base
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Types of Acid/Base Reactions: Summary
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Calculations with Equilibrium Constants
  • pH of an acetic acid solution.
  • What are your observations?
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Equilibria Involving A Weak Acid
  • You have 1.00 M HOAc. Calc. the equilibrium concs. of HOAc, H3O+, OAc-, and the pH.
  • Step 1. Define equilibrium concs. in ICE table.
  •   [HOAc] [H3O+] [OAc-]
  • initial
  • change
  • equilib
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Equilibria Involving A Weak Acid
  • You have 1.00 M HOAc. Calc. the equilibrium concs. of HOAc, H3O+, OAc-, and the pH.
  • Step 1. Define equilibrium concs. in ICE table.
  • [HOAc] [H3O+] [OAc-]
  • initial 1.00 0 0
  • change -x +x +x
  • equilib 1.00-x x x
  • Note that we neglect [H3O+] from H2O.


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Equilibria Involving A Weak Acid
  • Step 2. Write Ka expression


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Equilibria Involving A Weak Acid
  • Step 3. Solve Ka expression


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Equilibria Involving A Weak Acid
  • Step 3. Solve Ka approximate expression
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Equilibria Involving A Weak Acid
  • Consider the approximate expression
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Equilibria Involving A Weak Acid
  • Calculate the pH of a 0.0010 M solution of formic acid, HCO2H.
  •  HCO2H   +   H2O  e  HCO2-   +   H3O+
  • Ka = 1.8 x 10-4
  • Approximate solution
  •   [H3O+] = [Ka • Co]1/2 = 4.2 x 10-4 M, pH = 3.37
  • Exact Solution
  •   [H3O+] = [HCO2-]  =  3.4 x 10-4 M
  •   [HCO2H]  =  0.0010 - 3.4 x 10-4 = 0.0007 M
  •   pH = 3.47
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Weak Bases
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Equilibria Involving A Weak Base
  • You have 0.010 M NH3. Calc. the pH.
  •   NH3  +  H2O  e  NH4+   +    OH-
  •   Kb = 1.8 x 10-5
  • Step 1. Define equilibrium concs. in ICE table
  •   [NH3] [NH4+] [OH-]
  • initial
  • change
  • equilib
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Equilibria Involving A Weak Base
  • You have 0.010 M NH3. Calc. the pH.
  •   NH3  +  H2O  e  NH4+   +    OH-
  •   Kb = 1.8 x 10-5
  • Step 1. Define equilibrium concs. in ICE table
  •   [NH3] [NH4+] [OH-]
  • initial 0.010 0 0
  • change -x +x +x
  • equilib 0.010 - x x x
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Equilibria Involving A Weak Base
  • You have 0.010 M NH3. Calc. the pH.
  •   NH3  +  H2O  e  NH4+   +    OH-
  •   Kb = 1.8 x 10-5
  • Step 2. Solve the equilibrium expression
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Equilibria Involving A Weak Base
  • You have 0.010 M NH3. Calc. the pH.
  •   NH3  +  H2O  e  NH4+   +    OH-
  •   Kb = 1.8 x 10-5
  • Step 3. Calculate pH
  • [OH-] =  4.2 x 10-4 M
  • so pOH = - log [OH-]  =  3.37
  • Because pH + pOH = 14,
  • pH = 10.63
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"MX"
  • MX  +  H2O   ---->   acidic or basic solution?
  • Consider NH4Cl
  • NH4Cl(aq)  ---->   NH4+(aq)  +  Cl-(aq)
  • (a) Reaction of Cl- with H2O
  •   Cl-    +   H2O  ----> HCl      +   OH-
  •    base acid acid base
  • Cl- ion is a VERY weak base because its conjugate acid is strong.
  • Therefore, Cl-  ---->  neutral solution


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"NH4Cl(aq)"
  • NH4Cl(aq)  ---->   NH4+(aq)  +  Cl-(aq)
  • (b) Reaction of NH4+ with H2O
  •   NH4+    +   H2O  ----> NH3      +   H3O+
  •    acid base base acid
  • NH4+ ion is a moderate acid because its conjugate base is weak.
  • Therefore, NH4+  ---->  acidic solution
  • See TABLE 17.4 for a summary of acid-base properties of ions.


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Acid-Base Properties of Salts
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"Calculate the pH of a..."
  • Calculate the pH of a 0.10 M solution of Na2CO3.
  • Na+  +  H2O  --->  neutral
  • CO32-    + H2O  e  HCO3-  +  OH-
  • base acid   acid base
  •   Kb  =  2.1 x 10-4
  • Step 1. Set up concentration table
  •   [CO32-] [HCO3-] [OH-] initial
  •   change
  •   equilib
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"Calculate the pH of a..."
  • Calculate the pH of a 0.10 M solution of Na2CO3.
  • Na+  +  H2O  --->  neutral
  • CO32-    + H2O  e  HCO3-  +  OH-
  • base acid   acid base
  •   Kb  =  2.1 x 10-4
  • Step 1. Set up ICE table
  •   [CO32-] [HCO3-] [OH-] initial 0.10 0 0
  •   change -x +x +x
  •   equilib 0.10 - x x x
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"Calculate the pH of a..."
  • Calculate the pH of a 0.10 M solution of Na2CO3.
  • Na+  +  H2O  --->  neutral
  • CO32- + H2O  e  HCO3- + OH-
  • base acid   acid base
  •   Kb  =  2.1 x 10-4




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"Calculate the pH of a..."
  • Calculate the pH of a 0.10 M solution of Na2CO3.
  • Na+  +  H2O  --->  neutral
  • CO32- +  H2O   e    HCO3-   +   OH-
  • base acid   acid base
  •   Kb  =  2.1 x 10-4