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Lesson 1 
Theories of Acids and Bases
Lesson 1: Theories of Acids/Bases 
Main 
 Objectives: 
 Reflect on prior knowledge of acids and bases 
 Understand the Bronsted-Lowry theory of acidity and 
identify Bronsted-Lowry acids and bases 
 Understand the Lewis theory of acidity and identify Lewis 
acids and bases
Solubility of Acids and Akalis 
 Most acids are soluble or react strongly with water 
 Some bases are soluble, some are insoluble 
 Soluble bases are called ALKALIS 
Main
Bronsted-Lowry Acids and Bases 
+(aq) + OH-(aq) 
Main 
 It’s all about protons (H+) 
 Acid: Proton donor 
 HCl(aq)  H+(aq) + Cl-(aq) 
 H2SO4(aq)  2H+(aq) + SO4 
2-(aq) 
 Base: Proton acceptor 
 NH3(aq) + H2O(l)  NH4 
 OH-(aq)* + H+(aq)  H2O(l) 
*From any soluble hydroxide or other alkali 
 If we mention acid/base without mentioning the type, we 
generally mean a Bronsted-Lowry one.
Conjugate Acids and Bases 
 A conjugate acid/base pair are two species that differ by 
a single proton. 
 A conjugate base is a species that has one less proton 
 A conjugate acid is a species that has one more proton 
+ is its conjugate acid 
Main 
 For example: 
 Hydrochloric acid, HCl 
 HCl is the acid, Cl- is its conjugate base 
 The HCl can donate a proton…it is an acid 
 The Cl- could accept a proton….it is a base 
 Ammonia, NH3 
 NH3 is the base, NH4 
 The NH3 can accept a proton….it is a base 
 The NH4 
+ could donate a proton….it is an acid What is the link?
Lewis Acids and Bases 
 Acid: electron pair acceptor 
 Species with an incomplete octet/outer-shell 
 Base: electron pair donor 
Main 
 Species with a lone pair 
 For example: 
Gilbert Lewis
Main 
Key Points 
 Bronsted-Lowry Theory 
 Acid is a proton donor 
 Base is a proton acceptor 
 Lewis Theory 
 Acid is electron pair acceptor 
 Base is electron pair donor
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Lesson 2 
Properties of Acids and Bases
Lesson 2: Properties of Acids and Bases 
Main 
 Objectives: 
 Understand the effect of acids/alkalis on indicators 
 Understand that acids neutralises bases (and vice versa) 
 Understand the reactions of acids with: 
 Metals 
 Carbonates 
 Hydrogen carbonates 
 Conduct experiments to confirm the above properties
Main 
Indicators 
 Universal (actually a mixture of indicators): 
 Litmus: 
 Acid is Red / Base is Blue 
 Phenolpthalein: 
 Acid is Colourless / Alkali is Pink 
 This is sorcery due to some clever chemistry that we will meet in the 
HL part of the course.
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Neutralisation 
ACID + ALKALI  SALT + WATER 
hydrochloric acid + sodium hydroxide  sodium 
chloride + water 
sulfuric acid + ammonia  ammonium sulfate + water 
 This is always an exothermic reaction. 
 It is called neutralisation but won’t always 
lead to a perfectly neutral solution
Main 
Acids and Metals 
ACID + METAL  SALT + HYDROGEN 
phosphoric acid + magnesium  magnesium 
phosphate + hydrogen 
ethanoic acid + sodium  sodium ethanoate + 
hydrogen 
 Very reactive metals may do this 
explosively
Acids and Carbonates 
ACID + CARBONATE  SALT + CARBON DIOXIDE + WATER 
hydrochloric acid + calcium carbonate  calcium chloride + carbon 
dioxide + water 
nitric acid + sodium carbonate  sodium nitrate + carbon dioxide + 
water 
Main
Acids and Hydrogencarbonates 
ACID + HYDROGENCARBONATE  SALT + CARBON DIOXIDE + WATER 
hydrochloric acid + calcium hydrogencarbonate  calcium chloride + carbon dioxide + 
water 
nitric acid + sodium hydrogencarbonate  sodium nitrate + carbon dioxide + 
water 
Main
Main 
Key Points 
 Acids react in similar ways to each other 
 Bases react in similar ways to each other 
 Reactions tend to neutralise acid/base properties
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Lesson 3 
The pH Scale
Lesson 3: The pH Scale 
Main 
 Objectives: 
 Understand how pH relates to acidity/bascicity 
 Understand how pH relates to changes in hydrogen ion 
concentration 
 Make a pH colour chart by diluting acids/alkalis
Main 
The pH Scale 
 Runs from 1 for most acid up to 14 for most alkali? 
 Nonsense, can go below 0 for very strong acids and 
above 14 for very strong alkalis.
What is pH?.....the ‘Power of Hydrogen’ 
 pH is determined by the concentration of H+ in a solution. 
Main 
 HL only: pH = -log10[H+] 
 Each one step increase in pH corresponds to a 10 fold decrease in 
the concentration of H+ 
 pH 0 : [H+] = 1.0x100 mol dm-3 (i.e. 1.0) 
 pH 1 : [H+] = 1.0x10-1 mol dm-3 (i.e. 0.1) 
 pH 2 : [H+] = 1.0x10-2 mol dm-3 (i.e. 0.01) 
 Follow this pattern to work out the H+ concentration required for: 
 pH 3 
 pH 5 
 pH 7 
 pH 9 
 pH 14
So a really really weak solution of an acid is 
actually an alkali? 
THIS IS ONLY NEEDED AT HL…MORE DETAIL LATER 
 No!.... Pure water exists in an equilibrium as follows: 
H2O  H+ + OH- 
 The position of the equilibrium is way over to the left. 
 However there is always a certain concentration of H+, even in pure 
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water. 
 In pure water: [H+] = 1.00x10-7 mol dm-3 
 You can only get a lower concentration than this by shifting the 
equilibrium to the left by adding OH-
Main 
Key Points 
 pH is determined by the concentration of H+ ions 
 Every one step increase in pH corresponds to a ten-fold 
decrease in H+ concentration
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Lesson 4 
Strong and Weak Acids and Bases
Lesson 4: Strong and Weak Acids and Bases 
Main 
 Objectives: 
 Understand the difference between strong and weak 
acids and bases 
 Complete an experiment to explore the difference in 
properties of strong/weak acids and bases
Strong and Weak Acids 
Main 
 Strong Acids: 
 HA(aq)  H+(aq) + A-(aq) …..the acid fully dissociates into ions 
 For example: HCl(aq)  H+(aq) + Cl-(aq) 
 Includes: hydrochloric, sulfuric, phosphoric, nitric 
 Strong acids have weak conjugate bases 
 Weak Acids: 
 HA(aq)  H+(aq) + A-(aq) …..the acid only partially dissociates into ions 
 For example: HF(aq)  H+(aq) + F-(aq) 
 Includes: hydrofluoric, ethanoic, carbonic 
 Weak acids have strong conjugate bases
Strong and Weak Bases 
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 Strong Bases: 
 BOH(aq)  B+(aq) + OH-(aq) …..the base fully dissociates into ions 
 For example: NaOH(aq)  Na+(aq) + OH-(aq) 
 Includes: group (I) hydroxides, barium hydroxide 
 Strong bases have weak conjugate acids 
 Weak Bases: 
 BOH(aq)  B+(aq) + OH-(aq) …..the base only partially dissociates into ions 
 For example: NH3(aq) + H2O(l)  NH4 
+(aq) + OH-(aq) 
 Includes: ammonia, amines 
 Weak bases have strong conjugate acids
Main 
So what? 
 The equilibrium has a profound effect on the 
properties of the acid/base 
 Compared with strong acids of the same 
concentration, weak acids: 
 Have lower electrical conductivity 
 React more slowly 
 pH is higher (less acid) 
 Change pH more slowly when diluted 
 However, they neutralise the same volume of alkali 
 Weak bases follow a similar pattern
Main 
Key Points 
 Strong acids/bases dissociate fully into ions 
 Weak acids/bases only partially dissociate, forming 
an equilibrium 
 The strong/weak character has a significant effect on 
the chemical properties
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Lesson 5 
HL Only 
pH, pOH and the Ionic Product of Water
Lesson 5: pH, pOH and the Ionic Product of Water 
Main 
 Objectives: 
 Understand the ionic product of water and use it calculate 
H+ and OH- concentrations 
 Calculate pH 
 Calculate pOH
The ionic product of water, Kw 
 Water can be both an acid and a base, this leads to 
the following equilibrium: 
 2 H2O  H3O+ + OH- ……or more simply: 
 H2O  H+ + OH- 
 The equilibrium for this reaction is called the ionic 
product of water and has the symbol Kw: 
[ ][ ] 1 10 14    K  H OH   W 
Main
Calculating [H+] and [OH-] of pure water: 
 Kw = [H+][OH-] = 1.00x10-14 mol2 dm-6 
 Since when pure, [H+] = [OH-] 
Main 
 [H+]2 = 1.00x10-14 
 [H+] = √1.00x10-14 = 1.00x10-7 mol dm-3 
 Kw varies with temperature: 
 At 273 K, Kw = 1.14x10-15, calculate [H+] 
 At 373 K, Kw = 5.13x10-13, calculate [OH-] 
 Do these changes mean the self-dissociation of water is 
endothermic or exothermic? Justify your answer.
Calculating [H+] and [OH-] of strong acids 
Main 
 Must use the equilibrium 
 For example, what is the concentration of OH- in 2.00 mol 
dm-3 sulphuric acid solution? 
 Calculate H+ from the data given in the question, there is a 
small effect from the equilibrium but it can be ignored. 
 Since H2SO4 produces two protons: 
 [H+] = 2 x 2.00 = 4.00 mol dm-3 
 Now we use the ionic product of water: 
 [H+][OH-] = 1.00x10-14 
 [OH-] = 1.00x10-14 / [H+] = 1.00x10-14 / 4.00 
= 2.50x10-15 mol dm-3
Calculating [H+] and [OH-] of strong bases 
Main 
 Must use the equilibrium 
 For example, what is the concentration of H+ in 
0.150 mol dm-3 sodium hydroxide acid solution? 
 Calculate OH- from the data given in the question, there is a 
small effect from the equilibrium but it can be ignored. 
 Since NaOH only produces one hydroxide: 
 [OH-] = 0.150 mol dm-3 
 Now we use the ionic product of water: 
 [H+][OH-] = 1.00x10-14 
 [H+] = 1.00x10-14 / [OH-] = 1.00x10-14 / 0.150 
= 6.67x10-14 mol dm-3
Main 
pH and pOH 
 You are familiar with the pH scale, based on [H+]: 
 0 (very strong acid)  7 (neutral)  14 (very strong 
alkali) 
 There is an analogue called pOH based on [OH-]: 
 0 (very strong alkali)  7 (neutral)  14 (very strong 
acid)
Calculating pH and pOH of strong acids 
pH = -log10[H+] AND pOH = -log10[OH-] 
 For example, what is the concentration of pH and pOH of 2.00 mol dm-3 
Main 
sulphuric acid solution? 
 pH = -log10[H+] = -log10(4.00) = -0.602 
 pOH = -log10[OH-] = -log10(2.5x10-15)= 14.6 
 Note: pH + pOH = 14*…..this allows us to take a short cut: 
 pOH = 14 – pH = 14 – (-0.602) = 14.6 
 pH = 14 – pOH = 14 – 14.6 = -0.602 
*This ‘14’ is known as 
pKw, i.e. –log10(1.00x10- 
14)
Calculating pH and pOH of strong bases 
pH = -log10[H+] AND pOH = -log10[OH-] 
 For example, what is the concentration of pH and pOH of 0.150 mol dm-3 
Main 
sodium hydroxide acid solution? 
 pH = -log10[H+] = -log10(6.67x10-14) = 13.2 
 pOH = -log10[OH-] = -log10(0.150)= 0.824 
 Note: pH + pOH = 14*…..this allows us to take a short cut: 
 pOH = 14 – pH = 14 – (13.2) = 0.824 
 pH = 14 – pOH = 14 – 0.824 = 13.2 
*This ‘14’ is known as 
pKw, i.e. –log10(1.00x10- 
14)
Calculating [H+] and [OH-] 
Main 
 Very simple: 
 [H+] = 10-pH 
 For example; solution of pH 6.2 
 [H+] = 10-6.2 = 6.3x10-7 mol dm-3 
 [OH-] = 10-pOH 
 For example; solution of pH 6.2 
 pOH = 14 - 6.2 = 7.8 
 [OH-] = 10-7.8 = 1.6x10-8 mol dm-3
Main 
Key Points 
 Kw = [H+][OH-] = 1.00x10-14 
 pH = -log10[H+] = 14 - pOH 
 pOH = -log10[OH-] = 14 - pH
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Lesson 6 
HL Only 
Ka/pKa and Kb/pKb
Lesson 6: Ka/pKa and Kb/pKb 
Main 
 Objectives: 
 Understand the concepts of Ka and Kb 
 Understand the concepts of pKa and pKb
Weak Acids: Ka and pKa 
 Weak acids dissociate to form an equilibrium 
  
H A 
[ ][ ] 
HA 
[ ] 
 
Main 
 HA(aq)  H+(aq) + A-(aq) 
 This has the equilibrium constant (aka acid dissociation 
constant), Ka 
Ka 
 The values for Ka are often very small, so we use ‘pKa’ to 
make them easier to handle: 
pKa = -log10(Ka)
Acid Ka pKa 
Hydronium ion, H3O+ 1.00 0.00 
Oxalic acid, HO2CCO2H 5.9x10-2 1.23 
Hydrofluoric, HF 7.2x10-4 3.14 
Methanoic, CHOOH 1.77x10-4 3.75 
Ethanoic, CH3COOH 1.76x10-5 4.75 
Phenol, C6H5OH 1.6x10-10 9.80 
Main 
Ka and pKa in action 
 In order of decreasing acid strength: 
 Smaller Ka 
 weaker acid 
 Smaller pKa 
 stronger acid
Weak Bases: Kb and pKb 
 Weak bases dissociate to form an equilibrium 
 BOH(aq)  B+(aq) + OH-(aq) 
 This has the equilibrium constant (aka base dissociation 
  
B OH 
[ ][ ] 
BOH 
[ ] 
 
Main 
constant), Kb 
Kb 
 The values for Kb are often very small, so we use ‘pKb’ to 
make them easier to handle: 
pKb = -log10(Kb)
Base Kb pKb 
Diethylamine 1.3x10-3 2.89 
Ethylamine 5.6x10-4 3.25 
Methylamine 4.4x10-4 3.36 
Ammonia 1.8x10-5 4.74 
Main 
Kb and pKb in action 
 In order of decreasing base strength: 
 Smaller Kb 
 weaker base 
 Smaller pKb 
 stronger base
Measuring Ka/pKa and Kb/pKb 
 pKa and pKb can be determined experimentally 
 At the point of half neutralisation: 
Main 
 pH = pKa 
 pOH = pKb 
 This is a convenient artefact of the mathematics 
 Follow the instructions here
Main 
Key Points 
 For a weak acid: 
  
H A 
[ ][ ] 
Ka 
 
 AND pKa = -log10(Ka) 
HA 
[ ] 
 For a weak base: 
  
B OH 
[ ][ ] 
Kb 
 
 AND pKb = -log10(Kb) 
BOH 
[ ] 
 At the point of half-neutralisation: 
 pKa = pH AND pKb = pOH
Main 
Menu 
Lesson 7 
HL Only 
Weak acid/base calculations
Lesson 7: Weak acid/base calculations 
Main 
 Objectives: 
 Perform calculations involving weak acids 
 Perform calculations involving weak bases
Main 
Recap 
WEAK ACIDS 
 Ka = [H+][A-]/[HA] 
 pKa = -log10(Ka) 
 Smaller Ka 
 weaker acid 
 Smaller pKa 
 stronger acid 
Acid Ka pKa 
Hydronium ion, H3O+ 1.00 0.00 
Oxalic acid, HO2CCO2H 5.9x10-2 1.23 
Hydrofluoric, HF 7.2x10-4 3.14 
Methanoic, CHOOH 1.77x10- 
4 
3.75 
Ethanoic, CH3COOH 1.76x10- 
5 
4.75 
Phenol, C6H5OH 1.6x10-10 9.80 
WEAK BASES 
 Kb = [B+][OH-]/[BOH] 
 pKb = -log10(Kb) 
 Smaller Kb 
 weaker base 
 Smaller pKb 
 stronger base 
Base Kb pKb 
Diethylamine, 
(C2H5)2NH 
1.3x10-3 2.89 
Ethylamine, C2H5NH2 5.6x10-4 3.25 
Methylamine, CH3NH2 4.4x10-4 3.36 
Ammonia, NH3 1.8x10-5 4.74
We need to be able to solve problems such 
as: 
 What is the pH of an 1.50 M solution of weak acid, 
X? 
 What is the [OH-] of a solution of weak base, Y? 
 50 cm3 of a 0.1 M solution of acid X reacts with 25 
cm3 of a 0.1 M solution of base Y, what is the 
resulting pH? 
 The pH of a 0.250 M solution of weak acid Z is 5.4, 
what is it’s Ka and pKa? 
Main
We will need to use a variety of equations: 
Kb 
 
Main 
 New(ish) today: 
 Ka × Kb = Kw = 1.00x10-14 
 pKa + pKb = pKw = 14.0 
 pH + pOH = pKw = 14.0 
 And from previous lessons: 
  
B OH 
[ ][ ] 
BOH 
[ ] 
  
H A 
[ ][ ] 
HA 
[ ] 
Ka 
 
 pKa = -log10(Ka) pKb = -log10(Kb) 
 pH = -log10[H+] pOH = -log10[OH-]
Example 1: Calculation of [OH-] 
 What is the concentration of OH- ions in a 0.500 mol dm-3 solution of 
ammonia (Kb = 1.8x10-5)? What % of the NH3 molecules have 
dissociated? 
 Since it is a weak base and the equilibrium is to the right we assume 
that at equilibrium, [NH3] is the same as stated in the question. So: 
Main 
 Kb = [NH4 
+][OH-]/[NH3] Sub all known values into 
equation 
 1.8x10-5 = [NH4 
+][OH-]/ 0.500 Looks like there are 2 unknowns 
 However, since [NH4+] = [OH-]: 
 1.8x10-5 = [OH-]2 / 0.500 Rearrange to make [OH-] the 
subject 
 [OH-] = √(1.8x10-5 x 0.500) Perform calculation 
 [OH-] = 0.0030 mol dm-3 
 % Dissociation = 0.0030 / 0.500 x 100 = 0.60%
Example 2: Calculating pH 
 What is the pH of a 0.225 mol dm-3 solution of oxalic acid (HOOCCOOH, Ka 
= 5.9x10-2), and how does the pH change on ten-fold dilution? 
 Again, assume [HA] is as stated in the question 
 Ka = [H+][A-] / [HA] Sub in all known values 
 5.9x10-2 = [H+][A-] / 0.225 Looks like two unknowns, but isn’t really 
 This time, since oxalic acid produces two protons, [A-] = ½ [H+] so the 
Main 
expression becomes: 
 5.9x10-2 = ½ [H+]2 / 0.225 Rearrange to 
make [H+] subject 
 [H+] = √((5.9x10-2 x 0.225) / 2) = 0.0815 mol dm-3 
 pH = -log10[H+] = -log10(0.0815) = 1.09 
 Now with the ten-fold dilution 
 [H+] = √((5.9x10-2 x 0.0225) / 2) = 0.0257 mol dm-3 
 pH = -log10[H+] = -log10(0.0257) = 1.59….i.e. ten-fold dilution increased pH by 0.50
Example 3: Calculating Kb from pH 
 A 0.0350 mol dm-3 solution of methylamine (CH3NH2) has a pH of 
11.59. Determine Kb of methylamine and Ka of the methylammonium 
ion (CH3NH3 
Main 
+). 
 Since pH = 11.59 
 pOH = 14 – 11.59 = 2.41 
 [OH-] = 10-2.41 = 3.92x10-3 mol dm-3 
 Remember: 
To calculate Ka of the conjugate acid 
use: 
Ka x Kb = Kw 
Ka = Kw / Kb 
= 1.00x10-14 / 4.39x10-4 
= 2.78x10-11 
 [BOH] at equilibrium is same as stated in question 
 [OH-] = [B+] 
 Kb = [B+][OH-]/[BOH] Known values subbed in 
 Kb = (3.92x10-3).(3.92x10-3)/0.0350 
 Kb = 4.39x10-4
Example 4: Calculating Ka, pKa, Kb and pKb 
from each other 
 The pKa of benzoic acid is 4.20. Calculate Ka, Kb and 
pKb 
 Ka = 10-pKa = 10-4.20 = 6.31x10-5 
 Kb x Ka = Kw 
Kb = Kw / Ka = 1.00x10-14 / 6.31x10-5 = 1.58x10-10 
 pKb = -log10(Kb) = -log10(1.58x10-10) = 9.80 
Main 
 OR 
 Since pKa + pKb = pKw 
 pKb = 14 – pKa = 14 – 4.20 = 9.80
Main 
Key Points 
 Calculations rely on two key assumptions: 
 Concentration of HA or BOH at equlibrium is the same as 
given in the question 
 Reasonable as equilibrium effects mean dissociation is often 
1% or less 
 [H+]/[OH-] and [A-]/[B+] are not separate variables but are 
related to each other 
 Expressing [A-]/[B+] in terms of [H+]/OH-] is a key step
Main 
Menu 
Lesson 8 
HL Only 
Buffers
Main 
Lesson 8: Buffers 
 Objectives: 
 Describe and explain the function of buffers 
 Calculate the pH of buffer solutions 
 Make an acid and an alkaline buffer solution and observe 
its buffering activity.
Main 
Buffers 
 Buffers are solutions that resist changes to 
their pH 
 Acid buffers: 
 Weak acid and salt of it’s conjugate base 
 E.g. Ethanoic acid and sodium ethanoate 
 Alkaline buffer: 
 Weak base and a salt of its conjugate acid 
 E.g. ammonia and ammonium chloride 
 Common in nature, blood being the best 
example: pH kept at 7.35-7.45
How they work: acidic buffers 
 Buffer is a mixture of HA and A- solutions, establishing the following 
Main 
equilibrium: 
HA  H+ + A- 
 The addition of extra A- ions forces the equilibrium to the left due to 
Le Chatelier’s principle. This creates a large reservoir of un-dissociated 
HA 
 Adding acid: 
 Equilibrium shifts to the left, reducing the increase in H+ 
 Adding base: 
 Equilibrium shifts to the right, reversing the decrease in H+ 
 Adding water: 
 Both sides affected equally so pH unchanged
How they work: basic buffers 
 Buffer is a mixture of BOH and B+ solutions, establishing the 
Main 
following equilibrium: 
BOH  B+ + OH- 
 The addition of extra B+ ions forces the equilibrium the left due to Le 
Chatelier’s principle. This creates a large reservoir of un-dissociated 
BOH 
 Adding base: 
 Equilibrium shifts to the left, reducing the increase in OH- 
 Adding acid: 
 Equilibrium shifts to the right, reversing the decrease in OH- 
 Adding water: 
 Both sides affected equally so pH unchanged
Calculating pH of a Buffer 
 What is the pH of a buffer comprising a 0.450 mol dm-3 ammonia 
(NH3, Kb = 1.8x10-5) and 0.200 mol dm-3 ammonium chloride? 
NH OH 
[ ][ ] 
 
NH 
[ ] 
NH 
[ ] 
K 
 We need to make two assumptions: 
Main 
 [NH4 
 
4 
+] is equal to that stated in the question…since there will be very little 
coming from dissociated NH3 
 [NH3] is equal to that stated in the question…since very little NH3 has 
dissociated 
 
 
 
 
 
 
 
  
 
 
  
[ ] 
log 
3 
10 
3 
4 
NH 
pOH pK 
b 
b 
4.39 
5 
 
14.0 4.39 9.61 
0.200 
0.450 
log (1.8 10 ) log10 
10 
pOH 
pOH 
   
 
 
 
 
 
 
     
pH
Calculating the proportions for a buffer 
 What mass of sodium ethanoate (Mr = 82.0) should be added to 0.500 dm3 
of 0.400 mol dm-3 ethanoic acid solution (pKa = 4.76) to make a buffer of ph 
5.70? 
  
H CH COO 
[ ][ ] 
3 
CH COOH 
[ ] 
  
H CH COO 
[ ][ ] 
CH COOH 
[ ] 
K CH COOH 
[ ] 
 
H 
[ ] 
a 
 
 
10  
0.400 
K 
a 
CH COO 
CH COO mol dm 
5.7 
3 
10 
 
Main 
 Similar to before: 
 Two assumptions: 
3 
Ka 
 
 CH3COO- will be only due to added sodium ethanoate 
 [CH3COOH] is as stated in the question 
Note: Ka= 10-pKa 
4.76 
 
 
[ ] 
3 
 
[ ] 
3 
3 
3 
 
 
 Mass sodium ethanoate required: 
3 
3.48 
 
 
 Mass = moles x molar mass = (3.48 x 0.500) x 82.0 = 143 g
Main 
Key Points 
 Calculations are similar to those for weak acids/bases but 
need re-expressing as: 
 
  
 
 
  
B 
10 BOH 
 
  
B OH 
[ ][ ] 
BOH 
[ ] 
K 
b 
pOH pK 
  
 
 
[ ] 
[ ] 
log 
b 
 
H A 
[ ][ ] 
HA 
[ ] 
K 
 Calculations make two key assumptions: 
 
 
A 
[ ] 
 Concentration of the weak acid/base is as stated in the 
question 
 Concentration of the conjugate base/acid is as stated in the 
question 
 These assumptions are valid as equilibrium effects mean very 
little of the weak acid/base dissociates 
  
 
  
 
  
 
  
[ ] 
log 
10 HA 
pH pK 
a 
a
Main 
Menu 
Lesson 9 
HL Only 
Salt Hydrolysis
Lesson 9: Salt Hydrolysis 
Main 
 Objectives: 
 Understand why some salts do not form neutral solutions 
 Predict whether a given salt will form an acidic, neutral or 
alkaline solution 
 Complete an experiment to determine any trends in 
acidity/basicity of salt solutions
Acid Salt Hydrolysis 
 When you dissolve sodium chloride in water it forms 
a neutral solution of Na+ and Cl- ions: 
NaCl(s)  Na+(aq) + Cl-(aq) 
 When you dissolve ammonium chloride in water it 
forms a weakly acidic solution of NH4 
Main 
+ and Cl- ions 
 Why?....discuss
+  NH3 + H+ 
Main 
Why acidic? 
 Ammonium chloride contains the NH4 
+ ion 
 NH4 
+ is the conjugate acid of the weak base NH3: 
+ + OH- 
NH3 + H2O  NH4 
 The NH4 
+ ion therefore is weakly acidic and will establish 
the following equilibrium: 
NH4 
 Thus, ammonium chloride will form a weakly acidic 
solution
Basic Salt Hydrolysis 
 When you dissolve sodium chloride in water it forms 
a neutral solution of Na+ and Cl- ions: 
NaCl  Na+(aq) + Cl-(aq) 
 When you dissolve sodium ethanoate in water it 
forms a weakly basic solution of Na+ and CH3COO-ions 
Main 
 Why?....discuss
Recap: Conjugate Acids and Bases 
 A conjugate acid/base pair are two species that differ by 
a single proton. 
 A conjugate base is a species with has one less proton 
 A conjugate acid is a species with one more proton 
+ is its conjugate acid 
Main 
 For example: 
 Hydrochloric acid, HCl 
 HCl is the acid, Cl- is a conjugate base 
 The HCl can donate a proton…it is an acid 
 The Cl- could accept a proton….it is a base 
 Ammonia, NH3 
 NH3 is the base, NH4 
 The NH3 can accept a proton….it is a base 
 The NH4 
+ could donate a proton….it is an acid
Main 
Why basic? 
 Sodium ethanoate contains the CH3COO- ion 
 CH3COO- is the conjugate base of the weak acid 
CH3COOH: 
CH3COOH  H+ + CH3COO- 
 The CH3COO- ion therefore is weakly basic and will 
establish the following equilibrium: 
CH3COO- + H2O  CH3COOH + OH- 
 Thus, sodium ethanoate will form a weakly basic solution
Main 
Rules of Thumb 
 Conjugate bases: 
 Conjugate bases of weak acids will form basic solutions 
 Conjugate bases of strong acids will form neutral 
solutions 
 Conjugate acids: 
 Conjugate acids of weak bases will form acidic solutions 
 Conjugate acids of strong bases will form neutral 
solutions 
 The final pH of an individual salt will depend on the 
relative acidity of both the conjugate acid and 
conjugate base is formed from
Main 
Key Points 
 Salts of a weak acid and strong base form basic solutions: 
 Due to the conjugate base of the weak acid being basic 
 Salts of a weak base and a strong acid form acidic solutions: 
 Due to the conjugate acid of the weak base being acidic 
 Salts of a strong acid and strong base form neutral solutions 
 Neither the conjugate base of the acid or the conjugate acid of the 
base form acid/base equilibria 
 Salts of a weak acid and weak base can be acidic, basic or 
neutral 
 Depends on the relative basicity of the conjugate base and acidity 
of the conjugate acid
Main 
Menu 
Lesson 10 
HL Only 
Acid-Base Titrations
Lesson 10: Acid-Base Titrations 
Main 
 Objectives: 
 Complete titrations of each of the four possible 
combinations of acid and base, recording data with a 
data-logger 
 Use software to produce a graph of the results of your 
titrations 
 Explain in full the characteristic shape of each graph
Anatomy of an acid-base titration curve: 
In this case weak-acid/strong-base 
Half-equivalence 
Main 
point: 
i.e. Half the 
volume added at 
the equivalence 
point 
The pH of this 
point is equal to 
the pKa of the 
weak acid. 
Equivalence 
point: 
i.e. The point of 
inflection (where 
the gradient starts 
to drop again). 
Represents the 
point at which the 
acid has just been 
neutralised. 
pH Intercept: 
Higher pH if a 
weaker acid used 
Buffer Region: 
A lot of base has 
to be added to 
result in only a 
small change of 
pH
Adding acid to base 
Main 
 Your graphs for 
adding base to 
acid will have 
the same shape 
but be mirror 
images.
Main 
Key Points 
 Acid-base titration curves have a characteristic 
shape 
 The shape depends on the combination of 
strong/weak acid-strong/weak base used 
 The pH changes very fast at the point of equivalence 
due to the logarithmic nature of the pH scale 
 The ‘flatter’ parts of the weak acid/base curves are 
due to equilibrium effects
Main 
Menu 
Lesson 11 
HL Only 
Indicators
Lesson 11: Indicators 
Main 
 Objectives: 
 Understand how indicators work 
 Determine suitable indicators for a reaction 
 Make indicators from a range of natural products
Main 
Indicators 
 An indicator is a compound whose colour depends on pH 
 For example: 
 Phenolphthalein 
 pH< 8: COLOURLESS pH>10: PINK 
 Methyl orange 
 pH<3.2: RED pH>4.4: ORANGE 
 Bromothymol blue: 
 pH<6.0: YELLOW pH>7.6: BLUE 
 Most indicators change colour only once (sometimes twice). The obvious 
exception is universal indicator which is actually a mixture of several 
indicators with different colour change ranges. 
 Note: the pH generally changes over a small range, but the logarithmic 
nature of pH means often equates to a single drop.
How Indicators Work (what you need): 
 Indicators are weak acids/bases in their own right 
 In solution indicators form an equilibrium: 
In + H+ ⇌ InH+ 
COULOUR 1 COLOUR 2 
Main 
 Where: ‘In’ stands for indicator 
 As [H+] changes, the equilibrium moves to the left or right, thus changing the 
colour 
 The structure of indicators change depending on the pH: 
 Higher pH can cause weak-acid groups to deprotonate 
 Low pH can cause weak-base groups to protonate 
 This can have knock-on effects on the structure, of the indicator molecule which 
changes its colour
How Indicators Work (in detail): 
 Colour in many organic compounds comes from having overlapping π- 
systems, with many delocalised electrons 
 + 2H+ 
colourless pink 
Main 
 For example: phenolphthalein 
 The colour derives from conjugated π-systems which are radically altered by 
the changes in structure 
 The double bond on the central carbon atom allows the π-systems in the three 
benzene rings to interact with each other, leading to the pink colour 
 This is more detail than required by the IB!!!
Main 
pH range and pKa 
 Most indicators change range within ±1.0 of their pKa 
 pKa data for indicators can be found in your data 
booklet 
Indicator pKa 
pH 
Range 
Colour Change 
Acid Alkali 
methyl orange 3.46 3.2–4.4 Red Yellow 
bromophenol blue 4.10 3.0–4.6 Yellow Blue 
bromocresol green 4.90 3.8–5.4 Yellow Blue 
methyl red 5.00 4.8–6.0 Red Yellow 
bromothymol blue 7.30 6.0–7.6 Yellow Blue 
phenol red 8.00 6.6–8.0 Yellow Red 
phenolphthalein 9.50 8.2– 
10.0 
Colourless Pink
Main 
Using Indicators 
 Indicators are NOT USED to measure pH 
 Colour change is not an accurate measurement 
 Range of colour change limits the measurements that 
could be taken 
 pH probes are very accurate 
 Indicators ARE USED: 
 To determine the end-point of reactions in titrations 
 To give a ‘rough and ready’ idea of pH
Main 
Key Points 
 Indicators change colour over a narrow pH range 
 The colour change generally occurs at a pH within ± 
1.0 of the indicator’s pKa 
 Indicators should be chosen with a pH range that 
matches the expected equivalence point as closely 
as possible

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Acids and Bses

  • 1. Main Menu Lesson 1 Theories of Acids and Bases
  • 2. Lesson 1: Theories of Acids/Bases Main  Objectives:  Reflect on prior knowledge of acids and bases  Understand the Bronsted-Lowry theory of acidity and identify Bronsted-Lowry acids and bases  Understand the Lewis theory of acidity and identify Lewis acids and bases
  • 3. Solubility of Acids and Akalis  Most acids are soluble or react strongly with water  Some bases are soluble, some are insoluble  Soluble bases are called ALKALIS Main
  • 4. Bronsted-Lowry Acids and Bases +(aq) + OH-(aq) Main  It’s all about protons (H+)  Acid: Proton donor  HCl(aq)  H+(aq) + Cl-(aq)  H2SO4(aq)  2H+(aq) + SO4 2-(aq)  Base: Proton acceptor  NH3(aq) + H2O(l)  NH4  OH-(aq)* + H+(aq)  H2O(l) *From any soluble hydroxide or other alkali  If we mention acid/base without mentioning the type, we generally mean a Bronsted-Lowry one.
  • 5. Conjugate Acids and Bases  A conjugate acid/base pair are two species that differ by a single proton.  A conjugate base is a species that has one less proton  A conjugate acid is a species that has one more proton + is its conjugate acid Main  For example:  Hydrochloric acid, HCl  HCl is the acid, Cl- is its conjugate base  The HCl can donate a proton…it is an acid  The Cl- could accept a proton….it is a base  Ammonia, NH3  NH3 is the base, NH4  The NH3 can accept a proton….it is a base  The NH4 + could donate a proton….it is an acid What is the link?
  • 6. Lewis Acids and Bases  Acid: electron pair acceptor  Species with an incomplete octet/outer-shell  Base: electron pair donor Main  Species with a lone pair  For example: Gilbert Lewis
  • 7. Main Key Points  Bronsted-Lowry Theory  Acid is a proton donor  Base is a proton acceptor  Lewis Theory  Acid is electron pair acceptor  Base is electron pair donor
  • 8. Main Menu Lesson 2 Properties of Acids and Bases
  • 9. Lesson 2: Properties of Acids and Bases Main  Objectives:  Understand the effect of acids/alkalis on indicators  Understand that acids neutralises bases (and vice versa)  Understand the reactions of acids with:  Metals  Carbonates  Hydrogen carbonates  Conduct experiments to confirm the above properties
  • 10. Main Indicators  Universal (actually a mixture of indicators):  Litmus:  Acid is Red / Base is Blue  Phenolpthalein:  Acid is Colourless / Alkali is Pink  This is sorcery due to some clever chemistry that we will meet in the HL part of the course.
  • 11. Main Neutralisation ACID + ALKALI  SALT + WATER hydrochloric acid + sodium hydroxide  sodium chloride + water sulfuric acid + ammonia  ammonium sulfate + water  This is always an exothermic reaction.  It is called neutralisation but won’t always lead to a perfectly neutral solution
  • 12. Main Acids and Metals ACID + METAL  SALT + HYDROGEN phosphoric acid + magnesium  magnesium phosphate + hydrogen ethanoic acid + sodium  sodium ethanoate + hydrogen  Very reactive metals may do this explosively
  • 13. Acids and Carbonates ACID + CARBONATE  SALT + CARBON DIOXIDE + WATER hydrochloric acid + calcium carbonate  calcium chloride + carbon dioxide + water nitric acid + sodium carbonate  sodium nitrate + carbon dioxide + water Main
  • 14. Acids and Hydrogencarbonates ACID + HYDROGENCARBONATE  SALT + CARBON DIOXIDE + WATER hydrochloric acid + calcium hydrogencarbonate  calcium chloride + carbon dioxide + water nitric acid + sodium hydrogencarbonate  sodium nitrate + carbon dioxide + water Main
  • 15. Main Key Points  Acids react in similar ways to each other  Bases react in similar ways to each other  Reactions tend to neutralise acid/base properties
  • 16. Main Menu Lesson 3 The pH Scale
  • 17. Lesson 3: The pH Scale Main  Objectives:  Understand how pH relates to acidity/bascicity  Understand how pH relates to changes in hydrogen ion concentration  Make a pH colour chart by diluting acids/alkalis
  • 18. Main The pH Scale  Runs from 1 for most acid up to 14 for most alkali?  Nonsense, can go below 0 for very strong acids and above 14 for very strong alkalis.
  • 19. What is pH?.....the ‘Power of Hydrogen’  pH is determined by the concentration of H+ in a solution. Main  HL only: pH = -log10[H+]  Each one step increase in pH corresponds to a 10 fold decrease in the concentration of H+  pH 0 : [H+] = 1.0x100 mol dm-3 (i.e. 1.0)  pH 1 : [H+] = 1.0x10-1 mol dm-3 (i.e. 0.1)  pH 2 : [H+] = 1.0x10-2 mol dm-3 (i.e. 0.01)  Follow this pattern to work out the H+ concentration required for:  pH 3  pH 5  pH 7  pH 9  pH 14
  • 20. So a really really weak solution of an acid is actually an alkali? THIS IS ONLY NEEDED AT HL…MORE DETAIL LATER  No!.... Pure water exists in an equilibrium as follows: H2O  H+ + OH-  The position of the equilibrium is way over to the left.  However there is always a certain concentration of H+, even in pure Main water.  In pure water: [H+] = 1.00x10-7 mol dm-3  You can only get a lower concentration than this by shifting the equilibrium to the left by adding OH-
  • 21. Main Key Points  pH is determined by the concentration of H+ ions  Every one step increase in pH corresponds to a ten-fold decrease in H+ concentration
  • 22. Main Menu Lesson 4 Strong and Weak Acids and Bases
  • 23. Lesson 4: Strong and Weak Acids and Bases Main  Objectives:  Understand the difference between strong and weak acids and bases  Complete an experiment to explore the difference in properties of strong/weak acids and bases
  • 24. Strong and Weak Acids Main  Strong Acids:  HA(aq)  H+(aq) + A-(aq) …..the acid fully dissociates into ions  For example: HCl(aq)  H+(aq) + Cl-(aq)  Includes: hydrochloric, sulfuric, phosphoric, nitric  Strong acids have weak conjugate bases  Weak Acids:  HA(aq)  H+(aq) + A-(aq) …..the acid only partially dissociates into ions  For example: HF(aq)  H+(aq) + F-(aq)  Includes: hydrofluoric, ethanoic, carbonic  Weak acids have strong conjugate bases
  • 25. Strong and Weak Bases Main  Strong Bases:  BOH(aq)  B+(aq) + OH-(aq) …..the base fully dissociates into ions  For example: NaOH(aq)  Na+(aq) + OH-(aq)  Includes: group (I) hydroxides, barium hydroxide  Strong bases have weak conjugate acids  Weak Bases:  BOH(aq)  B+(aq) + OH-(aq) …..the base only partially dissociates into ions  For example: NH3(aq) + H2O(l)  NH4 +(aq) + OH-(aq)  Includes: ammonia, amines  Weak bases have strong conjugate acids
  • 26. Main So what?  The equilibrium has a profound effect on the properties of the acid/base  Compared with strong acids of the same concentration, weak acids:  Have lower electrical conductivity  React more slowly  pH is higher (less acid)  Change pH more slowly when diluted  However, they neutralise the same volume of alkali  Weak bases follow a similar pattern
  • 27. Main Key Points  Strong acids/bases dissociate fully into ions  Weak acids/bases only partially dissociate, forming an equilibrium  The strong/weak character has a significant effect on the chemical properties
  • 28. Main Menu Lesson 5 HL Only pH, pOH and the Ionic Product of Water
  • 29. Lesson 5: pH, pOH and the Ionic Product of Water Main  Objectives:  Understand the ionic product of water and use it calculate H+ and OH- concentrations  Calculate pH  Calculate pOH
  • 30. The ionic product of water, Kw  Water can be both an acid and a base, this leads to the following equilibrium:  2 H2O  H3O+ + OH- ……or more simply:  H2O  H+ + OH-  The equilibrium for this reaction is called the ionic product of water and has the symbol Kw: [ ][ ] 1 10 14    K  H OH   W Main
  • 31. Calculating [H+] and [OH-] of pure water:  Kw = [H+][OH-] = 1.00x10-14 mol2 dm-6  Since when pure, [H+] = [OH-] Main  [H+]2 = 1.00x10-14  [H+] = √1.00x10-14 = 1.00x10-7 mol dm-3  Kw varies with temperature:  At 273 K, Kw = 1.14x10-15, calculate [H+]  At 373 K, Kw = 5.13x10-13, calculate [OH-]  Do these changes mean the self-dissociation of water is endothermic or exothermic? Justify your answer.
  • 32. Calculating [H+] and [OH-] of strong acids Main  Must use the equilibrium  For example, what is the concentration of OH- in 2.00 mol dm-3 sulphuric acid solution?  Calculate H+ from the data given in the question, there is a small effect from the equilibrium but it can be ignored.  Since H2SO4 produces two protons:  [H+] = 2 x 2.00 = 4.00 mol dm-3  Now we use the ionic product of water:  [H+][OH-] = 1.00x10-14  [OH-] = 1.00x10-14 / [H+] = 1.00x10-14 / 4.00 = 2.50x10-15 mol dm-3
  • 33. Calculating [H+] and [OH-] of strong bases Main  Must use the equilibrium  For example, what is the concentration of H+ in 0.150 mol dm-3 sodium hydroxide acid solution?  Calculate OH- from the data given in the question, there is a small effect from the equilibrium but it can be ignored.  Since NaOH only produces one hydroxide:  [OH-] = 0.150 mol dm-3  Now we use the ionic product of water:  [H+][OH-] = 1.00x10-14  [H+] = 1.00x10-14 / [OH-] = 1.00x10-14 / 0.150 = 6.67x10-14 mol dm-3
  • 34. Main pH and pOH  You are familiar with the pH scale, based on [H+]:  0 (very strong acid)  7 (neutral)  14 (very strong alkali)  There is an analogue called pOH based on [OH-]:  0 (very strong alkali)  7 (neutral)  14 (very strong acid)
  • 35. Calculating pH and pOH of strong acids pH = -log10[H+] AND pOH = -log10[OH-]  For example, what is the concentration of pH and pOH of 2.00 mol dm-3 Main sulphuric acid solution?  pH = -log10[H+] = -log10(4.00) = -0.602  pOH = -log10[OH-] = -log10(2.5x10-15)= 14.6  Note: pH + pOH = 14*…..this allows us to take a short cut:  pOH = 14 – pH = 14 – (-0.602) = 14.6  pH = 14 – pOH = 14 – 14.6 = -0.602 *This ‘14’ is known as pKw, i.e. –log10(1.00x10- 14)
  • 36. Calculating pH and pOH of strong bases pH = -log10[H+] AND pOH = -log10[OH-]  For example, what is the concentration of pH and pOH of 0.150 mol dm-3 Main sodium hydroxide acid solution?  pH = -log10[H+] = -log10(6.67x10-14) = 13.2  pOH = -log10[OH-] = -log10(0.150)= 0.824  Note: pH + pOH = 14*…..this allows us to take a short cut:  pOH = 14 – pH = 14 – (13.2) = 0.824  pH = 14 – pOH = 14 – 0.824 = 13.2 *This ‘14’ is known as pKw, i.e. –log10(1.00x10- 14)
  • 37. Calculating [H+] and [OH-] Main  Very simple:  [H+] = 10-pH  For example; solution of pH 6.2  [H+] = 10-6.2 = 6.3x10-7 mol dm-3  [OH-] = 10-pOH  For example; solution of pH 6.2  pOH = 14 - 6.2 = 7.8  [OH-] = 10-7.8 = 1.6x10-8 mol dm-3
  • 38. Main Key Points  Kw = [H+][OH-] = 1.00x10-14  pH = -log10[H+] = 14 - pOH  pOH = -log10[OH-] = 14 - pH
  • 39. Main Menu Lesson 6 HL Only Ka/pKa and Kb/pKb
  • 40. Lesson 6: Ka/pKa and Kb/pKb Main  Objectives:  Understand the concepts of Ka and Kb  Understand the concepts of pKa and pKb
  • 41. Weak Acids: Ka and pKa  Weak acids dissociate to form an equilibrium   H A [ ][ ] HA [ ]  Main  HA(aq)  H+(aq) + A-(aq)  This has the equilibrium constant (aka acid dissociation constant), Ka Ka  The values for Ka are often very small, so we use ‘pKa’ to make them easier to handle: pKa = -log10(Ka)
  • 42. Acid Ka pKa Hydronium ion, H3O+ 1.00 0.00 Oxalic acid, HO2CCO2H 5.9x10-2 1.23 Hydrofluoric, HF 7.2x10-4 3.14 Methanoic, CHOOH 1.77x10-4 3.75 Ethanoic, CH3COOH 1.76x10-5 4.75 Phenol, C6H5OH 1.6x10-10 9.80 Main Ka and pKa in action  In order of decreasing acid strength:  Smaller Ka  weaker acid  Smaller pKa  stronger acid
  • 43. Weak Bases: Kb and pKb  Weak bases dissociate to form an equilibrium  BOH(aq)  B+(aq) + OH-(aq)  This has the equilibrium constant (aka base dissociation   B OH [ ][ ] BOH [ ]  Main constant), Kb Kb  The values for Kb are often very small, so we use ‘pKb’ to make them easier to handle: pKb = -log10(Kb)
  • 44. Base Kb pKb Diethylamine 1.3x10-3 2.89 Ethylamine 5.6x10-4 3.25 Methylamine 4.4x10-4 3.36 Ammonia 1.8x10-5 4.74 Main Kb and pKb in action  In order of decreasing base strength:  Smaller Kb  weaker base  Smaller pKb  stronger base
  • 45. Measuring Ka/pKa and Kb/pKb  pKa and pKb can be determined experimentally  At the point of half neutralisation: Main  pH = pKa  pOH = pKb  This is a convenient artefact of the mathematics  Follow the instructions here
  • 46. Main Key Points  For a weak acid:   H A [ ][ ] Ka   AND pKa = -log10(Ka) HA [ ]  For a weak base:   B OH [ ][ ] Kb   AND pKb = -log10(Kb) BOH [ ]  At the point of half-neutralisation:  pKa = pH AND pKb = pOH
  • 47. Main Menu Lesson 7 HL Only Weak acid/base calculations
  • 48. Lesson 7: Weak acid/base calculations Main  Objectives:  Perform calculations involving weak acids  Perform calculations involving weak bases
  • 49. Main Recap WEAK ACIDS  Ka = [H+][A-]/[HA]  pKa = -log10(Ka)  Smaller Ka  weaker acid  Smaller pKa  stronger acid Acid Ka pKa Hydronium ion, H3O+ 1.00 0.00 Oxalic acid, HO2CCO2H 5.9x10-2 1.23 Hydrofluoric, HF 7.2x10-4 3.14 Methanoic, CHOOH 1.77x10- 4 3.75 Ethanoic, CH3COOH 1.76x10- 5 4.75 Phenol, C6H5OH 1.6x10-10 9.80 WEAK BASES  Kb = [B+][OH-]/[BOH]  pKb = -log10(Kb)  Smaller Kb  weaker base  Smaller pKb  stronger base Base Kb pKb Diethylamine, (C2H5)2NH 1.3x10-3 2.89 Ethylamine, C2H5NH2 5.6x10-4 3.25 Methylamine, CH3NH2 4.4x10-4 3.36 Ammonia, NH3 1.8x10-5 4.74
  • 50. We need to be able to solve problems such as:  What is the pH of an 1.50 M solution of weak acid, X?  What is the [OH-] of a solution of weak base, Y?  50 cm3 of a 0.1 M solution of acid X reacts with 25 cm3 of a 0.1 M solution of base Y, what is the resulting pH?  The pH of a 0.250 M solution of weak acid Z is 5.4, what is it’s Ka and pKa? Main
  • 51. We will need to use a variety of equations: Kb  Main  New(ish) today:  Ka × Kb = Kw = 1.00x10-14  pKa + pKb = pKw = 14.0  pH + pOH = pKw = 14.0  And from previous lessons:   B OH [ ][ ] BOH [ ]   H A [ ][ ] HA [ ] Ka   pKa = -log10(Ka) pKb = -log10(Kb)  pH = -log10[H+] pOH = -log10[OH-]
  • 52. Example 1: Calculation of [OH-]  What is the concentration of OH- ions in a 0.500 mol dm-3 solution of ammonia (Kb = 1.8x10-5)? What % of the NH3 molecules have dissociated?  Since it is a weak base and the equilibrium is to the right we assume that at equilibrium, [NH3] is the same as stated in the question. So: Main  Kb = [NH4 +][OH-]/[NH3] Sub all known values into equation  1.8x10-5 = [NH4 +][OH-]/ 0.500 Looks like there are 2 unknowns  However, since [NH4+] = [OH-]:  1.8x10-5 = [OH-]2 / 0.500 Rearrange to make [OH-] the subject  [OH-] = √(1.8x10-5 x 0.500) Perform calculation  [OH-] = 0.0030 mol dm-3  % Dissociation = 0.0030 / 0.500 x 100 = 0.60%
  • 53. Example 2: Calculating pH  What is the pH of a 0.225 mol dm-3 solution of oxalic acid (HOOCCOOH, Ka = 5.9x10-2), and how does the pH change on ten-fold dilution?  Again, assume [HA] is as stated in the question  Ka = [H+][A-] / [HA] Sub in all known values  5.9x10-2 = [H+][A-] / 0.225 Looks like two unknowns, but isn’t really  This time, since oxalic acid produces two protons, [A-] = ½ [H+] so the Main expression becomes:  5.9x10-2 = ½ [H+]2 / 0.225 Rearrange to make [H+] subject  [H+] = √((5.9x10-2 x 0.225) / 2) = 0.0815 mol dm-3  pH = -log10[H+] = -log10(0.0815) = 1.09  Now with the ten-fold dilution  [H+] = √((5.9x10-2 x 0.0225) / 2) = 0.0257 mol dm-3  pH = -log10[H+] = -log10(0.0257) = 1.59….i.e. ten-fold dilution increased pH by 0.50
  • 54. Example 3: Calculating Kb from pH  A 0.0350 mol dm-3 solution of methylamine (CH3NH2) has a pH of 11.59. Determine Kb of methylamine and Ka of the methylammonium ion (CH3NH3 Main +).  Since pH = 11.59  pOH = 14 – 11.59 = 2.41  [OH-] = 10-2.41 = 3.92x10-3 mol dm-3  Remember: To calculate Ka of the conjugate acid use: Ka x Kb = Kw Ka = Kw / Kb = 1.00x10-14 / 4.39x10-4 = 2.78x10-11  [BOH] at equilibrium is same as stated in question  [OH-] = [B+]  Kb = [B+][OH-]/[BOH] Known values subbed in  Kb = (3.92x10-3).(3.92x10-3)/0.0350  Kb = 4.39x10-4
  • 55. Example 4: Calculating Ka, pKa, Kb and pKb from each other  The pKa of benzoic acid is 4.20. Calculate Ka, Kb and pKb  Ka = 10-pKa = 10-4.20 = 6.31x10-5  Kb x Ka = Kw Kb = Kw / Ka = 1.00x10-14 / 6.31x10-5 = 1.58x10-10  pKb = -log10(Kb) = -log10(1.58x10-10) = 9.80 Main  OR  Since pKa + pKb = pKw  pKb = 14 – pKa = 14 – 4.20 = 9.80
  • 56. Main Key Points  Calculations rely on two key assumptions:  Concentration of HA or BOH at equlibrium is the same as given in the question  Reasonable as equilibrium effects mean dissociation is often 1% or less  [H+]/[OH-] and [A-]/[B+] are not separate variables but are related to each other  Expressing [A-]/[B+] in terms of [H+]/OH-] is a key step
  • 57. Main Menu Lesson 8 HL Only Buffers
  • 58. Main Lesson 8: Buffers  Objectives:  Describe and explain the function of buffers  Calculate the pH of buffer solutions  Make an acid and an alkaline buffer solution and observe its buffering activity.
  • 59. Main Buffers  Buffers are solutions that resist changes to their pH  Acid buffers:  Weak acid and salt of it’s conjugate base  E.g. Ethanoic acid and sodium ethanoate  Alkaline buffer:  Weak base and a salt of its conjugate acid  E.g. ammonia and ammonium chloride  Common in nature, blood being the best example: pH kept at 7.35-7.45
  • 60. How they work: acidic buffers  Buffer is a mixture of HA and A- solutions, establishing the following Main equilibrium: HA  H+ + A-  The addition of extra A- ions forces the equilibrium to the left due to Le Chatelier’s principle. This creates a large reservoir of un-dissociated HA  Adding acid:  Equilibrium shifts to the left, reducing the increase in H+  Adding base:  Equilibrium shifts to the right, reversing the decrease in H+  Adding water:  Both sides affected equally so pH unchanged
  • 61. How they work: basic buffers  Buffer is a mixture of BOH and B+ solutions, establishing the Main following equilibrium: BOH  B+ + OH-  The addition of extra B+ ions forces the equilibrium the left due to Le Chatelier’s principle. This creates a large reservoir of un-dissociated BOH  Adding base:  Equilibrium shifts to the left, reducing the increase in OH-  Adding acid:  Equilibrium shifts to the right, reversing the decrease in OH-  Adding water:  Both sides affected equally so pH unchanged
  • 62. Calculating pH of a Buffer  What is the pH of a buffer comprising a 0.450 mol dm-3 ammonia (NH3, Kb = 1.8x10-5) and 0.200 mol dm-3 ammonium chloride? NH OH [ ][ ]  NH [ ] NH [ ] K  We need to make two assumptions: Main  [NH4  4 +] is equal to that stated in the question…since there will be very little coming from dissociated NH3  [NH3] is equal to that stated in the question…since very little NH3 has dissociated              [ ] log 3 10 3 4 NH pOH pK b b 4.39 5  14.0 4.39 9.61 0.200 0.450 log (1.8 10 ) log10 10 pOH pOH               pH
  • 63. Calculating the proportions for a buffer  What mass of sodium ethanoate (Mr = 82.0) should be added to 0.500 dm3 of 0.400 mol dm-3 ethanoic acid solution (pKa = 4.76) to make a buffer of ph 5.70?   H CH COO [ ][ ] 3 CH COOH [ ]   H CH COO [ ][ ] CH COOH [ ] K CH COOH [ ]  H [ ] a   10  0.400 K a CH COO CH COO mol dm 5.7 3 10  Main  Similar to before:  Two assumptions: 3 Ka   CH3COO- will be only due to added sodium ethanoate  [CH3COOH] is as stated in the question Note: Ka= 10-pKa 4.76   [ ] 3  [ ] 3 3 3    Mass sodium ethanoate required: 3 3.48    Mass = moles x molar mass = (3.48 x 0.500) x 82.0 = 143 g
  • 64. Main Key Points  Calculations are similar to those for weak acids/bases but need re-expressing as:        B 10 BOH    B OH [ ][ ] BOH [ ] K b pOH pK     [ ] [ ] log b  H A [ ][ ] HA [ ] K  Calculations make two key assumptions:   A [ ]  Concentration of the weak acid/base is as stated in the question  Concentration of the conjugate base/acid is as stated in the question  These assumptions are valid as equilibrium effects mean very little of the weak acid/base dissociates            [ ] log 10 HA pH pK a a
  • 65. Main Menu Lesson 9 HL Only Salt Hydrolysis
  • 66. Lesson 9: Salt Hydrolysis Main  Objectives:  Understand why some salts do not form neutral solutions  Predict whether a given salt will form an acidic, neutral or alkaline solution  Complete an experiment to determine any trends in acidity/basicity of salt solutions
  • 67. Acid Salt Hydrolysis  When you dissolve sodium chloride in water it forms a neutral solution of Na+ and Cl- ions: NaCl(s)  Na+(aq) + Cl-(aq)  When you dissolve ammonium chloride in water it forms a weakly acidic solution of NH4 Main + and Cl- ions  Why?....discuss
  • 68. +  NH3 + H+ Main Why acidic?  Ammonium chloride contains the NH4 + ion  NH4 + is the conjugate acid of the weak base NH3: + + OH- NH3 + H2O  NH4  The NH4 + ion therefore is weakly acidic and will establish the following equilibrium: NH4  Thus, ammonium chloride will form a weakly acidic solution
  • 69. Basic Salt Hydrolysis  When you dissolve sodium chloride in water it forms a neutral solution of Na+ and Cl- ions: NaCl  Na+(aq) + Cl-(aq)  When you dissolve sodium ethanoate in water it forms a weakly basic solution of Na+ and CH3COO-ions Main  Why?....discuss
  • 70. Recap: Conjugate Acids and Bases  A conjugate acid/base pair are two species that differ by a single proton.  A conjugate base is a species with has one less proton  A conjugate acid is a species with one more proton + is its conjugate acid Main  For example:  Hydrochloric acid, HCl  HCl is the acid, Cl- is a conjugate base  The HCl can donate a proton…it is an acid  The Cl- could accept a proton….it is a base  Ammonia, NH3  NH3 is the base, NH4  The NH3 can accept a proton….it is a base  The NH4 + could donate a proton….it is an acid
  • 71. Main Why basic?  Sodium ethanoate contains the CH3COO- ion  CH3COO- is the conjugate base of the weak acid CH3COOH: CH3COOH  H+ + CH3COO-  The CH3COO- ion therefore is weakly basic and will establish the following equilibrium: CH3COO- + H2O  CH3COOH + OH-  Thus, sodium ethanoate will form a weakly basic solution
  • 72. Main Rules of Thumb  Conjugate bases:  Conjugate bases of weak acids will form basic solutions  Conjugate bases of strong acids will form neutral solutions  Conjugate acids:  Conjugate acids of weak bases will form acidic solutions  Conjugate acids of strong bases will form neutral solutions  The final pH of an individual salt will depend on the relative acidity of both the conjugate acid and conjugate base is formed from
  • 73. Main Key Points  Salts of a weak acid and strong base form basic solutions:  Due to the conjugate base of the weak acid being basic  Salts of a weak base and a strong acid form acidic solutions:  Due to the conjugate acid of the weak base being acidic  Salts of a strong acid and strong base form neutral solutions  Neither the conjugate base of the acid or the conjugate acid of the base form acid/base equilibria  Salts of a weak acid and weak base can be acidic, basic or neutral  Depends on the relative basicity of the conjugate base and acidity of the conjugate acid
  • 74. Main Menu Lesson 10 HL Only Acid-Base Titrations
  • 75. Lesson 10: Acid-Base Titrations Main  Objectives:  Complete titrations of each of the four possible combinations of acid and base, recording data with a data-logger  Use software to produce a graph of the results of your titrations  Explain in full the characteristic shape of each graph
  • 76. Anatomy of an acid-base titration curve: In this case weak-acid/strong-base Half-equivalence Main point: i.e. Half the volume added at the equivalence point The pH of this point is equal to the pKa of the weak acid. Equivalence point: i.e. The point of inflection (where the gradient starts to drop again). Represents the point at which the acid has just been neutralised. pH Intercept: Higher pH if a weaker acid used Buffer Region: A lot of base has to be added to result in only a small change of pH
  • 77. Adding acid to base Main  Your graphs for adding base to acid will have the same shape but be mirror images.
  • 78. Main Key Points  Acid-base titration curves have a characteristic shape  The shape depends on the combination of strong/weak acid-strong/weak base used  The pH changes very fast at the point of equivalence due to the logarithmic nature of the pH scale  The ‘flatter’ parts of the weak acid/base curves are due to equilibrium effects
  • 79. Main Menu Lesson 11 HL Only Indicators
  • 80. Lesson 11: Indicators Main  Objectives:  Understand how indicators work  Determine suitable indicators for a reaction  Make indicators from a range of natural products
  • 81. Main Indicators  An indicator is a compound whose colour depends on pH  For example:  Phenolphthalein  pH< 8: COLOURLESS pH>10: PINK  Methyl orange  pH<3.2: RED pH>4.4: ORANGE  Bromothymol blue:  pH<6.0: YELLOW pH>7.6: BLUE  Most indicators change colour only once (sometimes twice). The obvious exception is universal indicator which is actually a mixture of several indicators with different colour change ranges.  Note: the pH generally changes over a small range, but the logarithmic nature of pH means often equates to a single drop.
  • 82. How Indicators Work (what you need):  Indicators are weak acids/bases in their own right  In solution indicators form an equilibrium: In + H+ ⇌ InH+ COULOUR 1 COLOUR 2 Main  Where: ‘In’ stands for indicator  As [H+] changes, the equilibrium moves to the left or right, thus changing the colour  The structure of indicators change depending on the pH:  Higher pH can cause weak-acid groups to deprotonate  Low pH can cause weak-base groups to protonate  This can have knock-on effects on the structure, of the indicator molecule which changes its colour
  • 83. How Indicators Work (in detail):  Colour in many organic compounds comes from having overlapping π- systems, with many delocalised electrons  + 2H+ colourless pink Main  For example: phenolphthalein  The colour derives from conjugated π-systems which are radically altered by the changes in structure  The double bond on the central carbon atom allows the π-systems in the three benzene rings to interact with each other, leading to the pink colour  This is more detail than required by the IB!!!
  • 84. Main pH range and pKa  Most indicators change range within ±1.0 of their pKa  pKa data for indicators can be found in your data booklet Indicator pKa pH Range Colour Change Acid Alkali methyl orange 3.46 3.2–4.4 Red Yellow bromophenol blue 4.10 3.0–4.6 Yellow Blue bromocresol green 4.90 3.8–5.4 Yellow Blue methyl red 5.00 4.8–6.0 Red Yellow bromothymol blue 7.30 6.0–7.6 Yellow Blue phenol red 8.00 6.6–8.0 Yellow Red phenolphthalein 9.50 8.2– 10.0 Colourless Pink
  • 85. Main Using Indicators  Indicators are NOT USED to measure pH  Colour change is not an accurate measurement  Range of colour change limits the measurements that could be taken  pH probes are very accurate  Indicators ARE USED:  To determine the end-point of reactions in titrations  To give a ‘rough and ready’ idea of pH
  • 86. Main Key Points  Indicators change colour over a narrow pH range  The colour change generally occurs at a pH within ± 1.0 of the indicator’s pKa  Indicators should be chosen with a pH range that matches the expected equivalence point as closely as possible