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Transcript of Acids and Bases Chapter 14 Copyright © The McGraw-Hill Companies, Inc. Permission required for...
Acids and Bases
Chapter 14
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Acids
Have a sour taste. Vinegar owes its taste to acetic acid. Citrusfruits contain citric acid.
React with certain metals to produce hydrogen gas.
React with carbonates and bicarbonates to produce carbon dioxide gas
Have a bitter taste.
Feel slippery. Many soaps contain bases.
Bases
4.3
Arrhenius acid is a substance that produces H+ (H3O+) in water
A Brønsted acid is a proton donor
A Lewis acid is a substance that can accept a pair of electrons
A Lewis base is a substance that can donate a pair of electrons
Definition of An Acid
H+ H O H••••
+ OH-••••••
acid base
N H••
H
H
H+ +
acid base15.12
N H
H
H
H+
Arrhenius acid is a substance that produces H+ (H3O+) in water
Arrhenius base is a substance that produces OH- in water
4.3
A Brønsted acid is a proton donorA Brønsted base is a proton acceptor
acidbase acid base
15.1
acidconjugate
basebase conjugate
acid
Lewis Acids and Bases
N H••
H
H
acid base
F B
F
F
+ F B
F
F
N H
H
H
No protons donated or accepted!
15.12
Water as an Acid and a Base
Water is amphoteric (it can behave either as an acid or a base).
H2O + H2O H3O+ + OH
conj conj acid 1 base 2 acid 2 base 1
Kw = 1 × 1014 at 25°C
Copyright©2000 by Houghton Mifflin Company. All rights reserved.
7
O
H
H + O
H
H O
H
H H OH-+[ ] +
Acid-Base Properties of Water
H2O (l) H+ (aq) + OH- (aq)
H2O + H2O H3O+ + OH-
acid conjugate
base
base conjugate
acid
15.2
autoionization of water
H2O (l) H+ (aq) + OH- (aq)
The Ion Product of Water
Kc =[H+][OH-]
[H2O][H2O] = constant
Kc[H2O] = Kw = [H+][OH-]
The ion-product constant (Kw) is the product of the molar concentrations of H+ and OH- ions at a particular temperature.
At 250CKw = [H+][OH-] = 1.0 x 10-14
[H+] = [OH-]
[H+] > [OH-]
[H+] < [OH-]
Solution Is
neutral
acidic
basic
15.2
What is the concentration of OH- ions in a HCl solution whose hydrogen ion concentration is 1.3 M?
Kw = [H+][OH-] = 1.0 x 10-14
[H+] = 1.3 M
[OH-] =Kw
[H+]
1 x 10-14
1.3= = 7.7 x 10-15 M
15.2
pH – A Measure of Acidity
pH = -log [H+]
[H+] = [OH-]
[H+] > [OH-]
[H+] < [OH-]
Solution Is
neutral
acidic
basic
[H+] = 1 x 10-7
[H+] > 1 x 10-7
[H+] < 1 x 10-7
pH = 7
pH < 7
pH > 7
At 250C
pH [H+]
15.3
The pH of rainwater collected in a certain region of the northeastern United States on a particular day was 4.82. What is the H+ ion concentration of the rainwater?
pH = -log [H+]
[H+] = 10-pH = 10-4.82 = 1.5 x 10-5 M
The OH- ion concentration of a blood sample is 2.5 x 10-7 M. What is the pH of the blood?
pH + pOH = 14.00
pOH = -log [OH-] = -log (2.5 x 10-7) = 6.60
pH = 14.00 – pOH = 14.00 – 6.60 = 7.40
15.3
pH calculations – Solving for H+pH calculations – Solving for H+pH calculations – Solving for H+pH calculations – Solving for H+
If the pH of Coke is 3.12, [HIf the pH of Coke is 3.12, [H++] = ???] = ???
Because pH = - log [HBecause pH = - log [H++] then] then
- pH = log [H- pH = log [H++]]
Take antilog (10Take antilog (10xx) of both) of both sides and get sides and get
1010-pH -pH == [H[H++]]
[H[H++] = 10] = 10-3.12-3.12 = 7.6 x 10 = 7.6 x 10-4-4 M M
*** to find antilog on your calculator, look for “Shift” *** to find antilog on your calculator, look for “Shift” or “2or “2nd nd function” and then the log buttonfunction” and then the log button
Strong Electrolyte – 100% dissociation
NaCl (s) Na+ (aq) + Cl- (aq)H2O
Weak Electrolyte – not completely dissociated
CH3COOH CH3COO- (aq) + H+ (aq)
Strong Acids are strong electrolytes
HCl (aq) + H2O (l) H3O+ (aq) + Cl- (aq)
HNO3 (aq) + H2O (l) H3O+ (aq) + NO3- (aq)
HClO4 (aq) + H2O (l) H3O+ (aq) + ClO4- (aq)
H2SO4 (aq) + H2O (l) H3O+ (aq) + HSO4- (aq)
15.4
HF (aq) + H2O (l) H3O+ (aq) + F- (aq)
Weak Acids are weak electrolytes
HNO2 (aq) + H2O (l) H3O+ (aq) + NO2- (aq)
HSO4- (aq) + H2O (l) H3O+ (aq) + SO4
2- (aq)
H2O (l) + H2O (l) H3O+ (aq) + OH- (aq)
Strong Bases are strong electrolytes
NaOH (s) Na+ (aq) + OH- (aq)H2O
KOH (s) K+ (aq) + OH- (aq)H2O
Ba(OH)2 (s) Ba2+ (aq) + 2OH- (aq)H2O
15.4
F- (aq) + H2O (l) OH- (aq) + HF (aq)
Weak Bases are weak electrolytes
NO2- (aq) + H2O (l) OH- (aq) + HNO2 (aq)
Conjugate acid-base pairs:
• The conjugate base of a strong acid has no measurable strength.
• H3O+ is the strongest acid that can exist in aqueous solution.
• The OH- ion is the strongest base that can exist in aqeous solution.
15.4
HA (aq) + H2O (l) H3O+ (aq) + A- (aq)
Weak Acids (HA) and Acid Ionization Constants
HA (aq) H+ (aq) + A- (aq)
Ka =[H+][A-][HA]
Ka is the acid ionization constant
Ka
weak acidstrength
15.5
What is the pH of a 0.5 M HF solution (at 250C)?
HF (aq) H+ (aq) + F- (aq) Ka =[H+][F-][HF]
= 7.1 x 10-4
HF (aq) H+ (aq) + F- (aq)
Initial (M)
Change (M)
Equilibrium (M)
0.50 0.00
-x +x
0.50 - x
0.00
+x
x x
Ka =x2
0.50 - x= 7.1 x 10-4
Ka ≈x2
0.50= 7.1 x 10-4
0.50 – x ≈ 0.50Ka << 1
x2 = 3.55 x 10-4 x = 0.019 M
[H+] = [F-] = 0.019 M pH = -log [H+] = 1.72
[HF] = 0.50 – x = 0.48 M15.5
When can I use the approximation?
0.50 – x ≈ 0.50Ka << 1
When x is less than 5% of the value from which it is subtracted.
x = 0.0190.019 M0.50 M
x 100% = 3.8%Less than 5%
Approximation ok.
What is the pH of a 0.05 M HF solution (at 250C)?
Ka ≈x2
0.05= 7.1 x 10-4 x = 0.006 M
0.006 M0.05 M
x 100% = 12%More than 5%
Approximation not ok.
Must solve for x exactly using quadratic equation or method of successive approximation. 15.5
Solving weak acid ionization problems:
1. Identify the major species that can affect the pH.
• In most cases, you can ignore the autoionization of water.
• Ignore [OH-] because it is determined by [H+].
2. Use ICE to express the equilibrium concentrations in terms of single unknown x.
3. Write Ka in terms of equilibrium concentrations. Solve for x by the approximation method. If approximation is not valid, solve for x exactly.
4. Calculate concentrations of all species and/or pH of the solution.
15.5
What is the pH of a 0.122 M monoprotic acid whose Ka is 5.7 x 10-4?
HA (aq) H+ (aq) + A- (aq)
Initial (M)
Change (M)
Equilibrium (M)
0.122 0.00
-x +x
0.122 - x
0.00
+x
x x
Ka =x2
0.122 - x= 5.7 x 10-4
Ka ≈x2
0.122= 5.7 x 10-4
0.122 – x ≈ 0.122Ka << 1
x2 = 6.95 x 10-5 x = 0.0083 M
0.0083 M0.122 M
x 100% = 6.8%More than 5%
Approximation not ok.
15.5
Ka =x2
0.122 - x= 5.7 x 10-4 x2 + 0.00057x – 6.95 x 10-5 = 0
ax2 + bx + c =0-b ± b2 – 4ac √
2ax =
x = 0.0081 x = - 0.0081
HA (aq) H+ (aq) + A- (aq)
Initial (M)
Change (M)
Equilibrium (M)
0.122 0.00
-x +x
0.122 - x
0.00
+x
x x
[H+] = x = 0.0081 M pH = -log[H+] = 2.09
15.5
percent ionization = Ionized acid concentration at equilibrium
Initial concentration of acidx 100%
For a monoprotic acid HA
Percent ionization = [H+]
[HA]0
x 100% [HA]0 = initial concentration
15.5
What is the pH of a 2 x 10-3 M HNO3 solution?
HNO3 is a strong acid – 100% dissociation.
HNO3 (aq) + H2O (l) H3O+ (aq) + NO3- (aq)
pH = -log [H+] = -log [H3O+] = -log(0.002) = 2.7
Start
End
0.002 M
0.002 M 0.002 M0.0 M
0.0 M 0.0 M
What is the pH of a 1.8 x 10-2 M Ba(OH)2 solution?
Ba(OH)2 is a strong base – 100% dissociation.
Ba(OH)2 (s) Ba2+ (aq) + 2OH- (aq)
Start
End
0.018 M
0.018 M 0.036 M0.0 M
0.0 M 0.0 M
pH = 14.00 – pOH = 14.00 + log(0.036) = 12.615.4
NH3 (aq) + H2O (l) NH4+ (aq) + OH- (aq)
Weak Bases and Base Ionization Constants
Kb =[NH4
+][OH-][NH3]
Kb is the base ionization constant
Kb
weak basestrength
15.6
Solve weak base problems like weak acids except solve for [OH-] instead of [H+].
Equilibrium Equilibrium Constants Constants
for Weak Basesfor Weak Bases
Equilibrium Equilibrium Constants Constants
for Weak Basesfor Weak Bases
Weak base has KWeak base has Kbb < 1 < 1
Leads to small [OHLeads to small [OH--] and a pH of 12 - 7] and a pH of 12 - 7
Equilibria Involving A Weak BaseEquilibria Involving A Weak BaseYou have 0.010 M NHYou have 0.010 M NH33. Calc. the pH.. Calc. the pH.
NHNH33 + H + H22O O ↔ ↔ NHNH44++ + OH + OH--
KKbb = 1.8 x 10 = 1.8 x 10-5-5
Step 1.Step 1. Define equilibrium concs. in ICE tableDefine equilibrium concs. in ICE table
[NH[NH33]] [NH[NH44++]] [OH[OH--]]
initialinitial
changechange
equilibequilib
0.0100.010 00 000.0100.010 00 00
-x-x +x+x +x+x-x-x +x+x +x+x
0.010 - x0.010 - x x x xx0.010 - x0.010 - x x x xx
Equilibria Involving A Weak BaseEquilibria Involving A Weak BaseYou have 0.010 M NHYou have 0.010 M NH33. Calc. the pH.. Calc. the pH.
NHNH33 + H + H22O O NH NH44++ + OH + OH--
KKbb = 1.8 x 10 = 1.8 x 10-5-5
Step 2.Step 2. Solve the equilibrium expressionSolve the equilibrium expression
Kb 1.8 x 10-5 = [NH4
+][OH- ][NH3 ]
= x2
0.010 - xKb 1.8 x 10-5 =
[NH4+][OH- ]
[NH3 ] =
x2
0.010 - x
Assume x is small, soAssume x is small, so x = [OHx = [OH--] = [NH] = [NH44
++] = 4.2 x 10] = 4.2 x 10-4-4 M M
and [NHand [NH33] = 0.010 - 4.2 x 10] = 0.010 - 4.2 x 10-4-4 ≈ 0.010 M ≈ 0.010 M
The approximation is validThe approximation is valid !!
Equilibria Involving A Equilibria Involving A Weak BaseWeak Base
You have 0.010 M NHYou have 0.010 M NH33. Calc. the pH.. Calc. the pH.
NHNH33 + H + H22O O NH NH44++ + OH + OH--
KKbb = 1.8 x 10 = 1.8 x 10-5-5
Step 3.Step 3. Calculate pHCalculate pH
[OH[OH--] = 4.2 x 10] = 4.2 x 10-4-4 M M
so pOH = - log [OHso pOH = - log [OH--] = 3.37] = 3.37
Because pH + pOH = 14,Because pH + pOH = 14,
pH = 10.63pH = 10.63
15.7
Ionization Constants of Conjugate Acid-Base Pairs
HA (aq) H+ (aq) + A- (aq)
A- (aq) + H2O (l) OH- (aq) + HA (aq)
Ka
Kb
H2O (l) H+ (aq) + OH- (aq) Kw
KaKb = Kw
Weak Acid and Its Conjugate Base
Ka = Kw
Kb
Kb = Kw
Ka
Molecular Structure and Acid Strength
H X H+ + X-
The stronger the bond
The weaker the acid
HF << HCl < HBr < HI
15.9
Molecular Structure and Acid Strength
Z O H Z O- + H+- +
The O-H bond will be more polar and easier to break if:
• Z is very electronegative or
• Z is in a high oxidation state
15.9
Molecular Structure and Acid Strength
1. Oxoacids having different central atoms (Z) that are from the same group and that have the same oxidation number.
Acid strength increases with increasing electronegativity of Z
H O Cl O
O••
••••••
••
••••
••••
H O Br O
O••
••••••
••
••••
••••Cl is more electronegative than Br
HClO3 > HBrO3
15.9
Molecular Structure and Acid Strength
2. Oxoacids having the same central atom (Z) but different numbers of attached groups.
Acid strength increases as the oxidation number of Z increases.
HClO4 > HClO3 > HClO2 > HClO
15.9
Acid-Base Properties of SaltsEXAMINE CATION OF SALT:If CATION came from a strong BASE it would make a neutral soln
weak BASE it would make an Acidic soln
EXAMINE ANION OF SALT:If ANION came from a strong ACID it would make a neutral soln
weak ACID it would make an Basic soln
Acid-Base Properties of Salts
Copyright©2000 by Houghton Mifflin Company. All rights reserved.
43
Salt comes from SA & SB makes Neutral Salt
Salt comes from SA & WB makes Acidic Salt
Salt comes from WA & SB makes Basic Salt
Salt comes from WA & WB makes ? Saltneed to check
Ka vs Kb
CATION ANION ACIDIC OR BASIC
EXAMPLE
NEUTRAL NEUTRAL NEUTRAL NaCl
NEUTRAL CONJUGATE BASE OF A WEAK ACID
BASIC NaF
CONJUGATE ACID OF A WEAK BASE
NEUTRAL ACIDIC NH4Cl
CONJUGATE ACID OF A WEAK BASE
CONJUGATE BASE OF A WEAK ACID
DEPENDS ON Ka & Kb VALUES
Al2(SO4)3
Acid-Base Properties of SaltsNeutral Solutions:
Salts containing an alkali metal or alkaline earth metal ion (except Be2+) and the conjugate base of a strong acid (e.g. Cl-, Br-, and NO3
-).
NaCl (s) Na+ (aq) + Cl- (aq)H2O
Basic Solutions:
Salts derived from a strong base and a weak acid.
NaCH3COO (s) Na+ (aq) + CH3COO- (aq)H2O
CH3COO- (aq) + H2O (l) CH3COOH (aq) + OH- (aq)
15.10
Acid-Base Properties of Salts
Acid Solutions:
Salts derived from a strong acid and a weak base.
NH4Cl (s) NH4+ (aq) + Cl- (aq)
H2O
NH4+ (aq) NH3 (aq) + H+ (aq)
Salts with small, highly charged metal cations (e.g. Al3+, Cr3+, and Be2+) and the conjugate base of a strong acid.
Al(H2O)6 (aq) Al(OH)(H2O)5 (aq) + H+ (aq)3+ 2+
15.10
Acid-Base Properties of Salts
Solutions in which both the cation and the anion hydrolyze:
• Kb for the anion > Ka for the cation, solution will be basic
• Kb for the anion < Ka for the cation, solution will be acidic
• Kb for the anion ≈ Ka for the cation, solution will be neutral
15.10
Polyprotic Acids
. . . can furnish more than one proton (H+) to the solution.
Copyright©2000 by Houghton Mifflin Company. All rights reserved.
48
H CO H HCO ( )
HCO H CO ( )
2 3 3 a
3 32
a
1
2
K
K
Calculating Concentrations of Species in a Solution of a Diprotic Acid
• Ascorbic acid (vitamin C) is a diprotic acid, H2C6H6O6. What is the pH of a 0.10 M solution? What is the concentration of ascorbate ion, C6H6O6
2-?
• The acid ionization constants are Ka1 = 7.9 x 10-5 and Ka2 = 1.6 x 10-12.
Consider first ionization• H2Asc(aq) <==> H+(aq) + Hasc-(aq)
• I 0.10 0 0• C -x +x +x • E 0.10 - x x x
[H3O+] [HAsc-] = Ka1 [H2Asc] x2 = 7.9 x 10-5 0.10 - x
x = 2.8 x 10-3 = 0.0028 = [H+] = [HAsc-] pH = -log [H+] = -log(0.0028) = 2.55
• Hasc- (aq) <==> H+ (aq) + Asc- (aq)
• I 0.0028 0.0028 0• C -x +x +x • E 0.0028- x 0.0028+ x x
[H3O+][Asc2-] = Ka2
[HAsc-](0.0028) x = 1.6 x 10-12
0.0028
x = 1.6 x 10-12 = [H+]
The 2nd [H+] always equals Ka2
• From 1st Ionization we get [H+] = 2.8 x 10-3 M• From 2nd Ionization we get [H+] = 1.6 x 10-12 M
• If you add together: • [H+] = 2.8000000016 x 10-3 M• Same pH, 1st Ionization always contributes
most [H+]
OXIDES
• Acidic Oxides (Acid Anhydrides): OX bond is strong and covalent.
• SO2, NO2, CrO3
• Basic Oxides (Basic Anhydrides): OX bond is ionic.
• K2O, CaO
Oxides of the Representative ElementsIn Their Highest Oxidation States
15.11
CO2 (g) + H2O (l) H2CO3 (aq)
N2O5 (g) + H2O (l) 2HNO3 (aq)