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Chapter 14. Arrhenius Acid – create H + in water Base – create OH - in water Bronsted-Lowery Acid – donates proton (H + ) Base – accepts proton (H + ) Hydronium ion - H 3 O +. Conjugate pairs HCN/CN - HCl/Cl - NH 3 /NH 4 + Acid dissociation constant
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Chapter 14 • Arrhenius • Acid – create H+ in water • Base – create OH- in water • Bronsted-Lowery • Acid – donates proton (H+) • Base – accepts proton (H+) • Hydronium ion - H3O+
Conjugate pairs • HCN/CN- HCl/Cl- NH3/NH4+ • Acid dissociation constant • Equilibrium expression for its dissociation • Ka • HF H+ + F- • Ka = [H+][F-] / [HF] • Strong vs weak
Oxyacids • HNO3, HClO4, H2SO4 • Organic Acids • COOH group HC2H3O2 (CH3COOH) • Monoprotic, diprotic, triprotic • HCl, H2SO4, H3PO4
Water as an acid and base • H2O + H2O H3O+ + OH- • Amphoteric • Dissociation constant for water • Kw = [H3O+][OH-] = 1.0 x 10-14 • [OH-] = 1.0 x 10-5 [H3O+] = ? • [H3O+] = 1.0 x 10-14 /1.0 x 10-5 = 1.0 x 10-9
pH • pH = - log[H+] • pOH • pOH = - log[OH-] • pH + pOH = 14 • Calculate the pH and pOH of a 1.0 x10-9M HCl solution. • pH = - log(1.0x10-9) = 9.0 pOH = 14 – 9 = 5.0
What is the [H+] if the pH = 4.4 • pH = -log[H+] [H+] = 10-pH • [H+] = 10-4.4 = 3.98 x 10-5 = 4.0 x 10-5M • pH of strong acids • Completely dissociates so [acid] = [H+] • pH of weak acids • Have to do an equilibrium problem using Ka • Follow the same process
HF H+ + F- • Ka = [H+][F-] / [HF] = 7.2 x 10-4 • Calculate the pH of a 1.0 M HF solution • Chem. Initial Equil. • [H+] 0 +x • [F-] 0 +x • [HF] 1.0 1.0 – x = 1.0 (small x) • Ka = [H+][F-] / [HF] = 7.2 x 10-4 • 7.2 x 10-4 = x2 / 1.0 x = 2.7 x 10-2 M • pH = -log(2.7 x 10-2) = 1.57
pH of a mixture of acids • Focus on the strongest acid • Our HF example also contained H2O but we can ignore it since its constant is 1.0 x 10-14 and HF is much larger, 7.2 x 10-4 • Percent dissociation • %diss. = [H+] / [HA]o x 100
What is the pH of an aqueous solution of 1.00M HCN and 5.00M HNO2. • HCN Ka = 6.2 x 10-10 • HNO2 Ka = 4.0 x 10-4 • H2O Kw = 1.0 x 10-14 • Strongest acid is HNO2 so we use it
HNO2 Ka = 4.0 x 10-4 • HNO2 H+ + NO2- • Chem. [init.] [equil] • HNO2 5.00 5.00-x = 5.00 (x is small) • H+ 0 +x • NO2- 0 +x • 4.0 x 10-4 = x2 / 5.00 • x = 4.5 x 10-2 • pH = -log(4.5 x 10-2) = 1.35
Bases • We calculate [OH-] just like [H+] but use Kb instead of Ka • pH of strong bases • Completely dissociates so the [Base] = #[OH-] • pH of weak bases • Focus on the strongest base present and do an equilibrium problem
Calculate the [OH-] for a 15.0 M NH3 solution, Kb = 1.8 x 10-5. • NH3 + H2O NH4+ + OH- • Kb = [NH4+][OH-] / [NH3] = 1.8 x 10-5 • Chem. [Init.] [Equil] • NH4+ 0 +x • OH- 0 +x • NH3 15.0 15.0 – x = 15.0
Chem. [Init.] [Equil] • NH4+ 0 +x • OH- 0 +x • NH3 15.0 15.0 – x = 15.0 • Kb = [NH4+][OH-] / [NH3] = 1.8 x 10-5 • 1.8 x 10-5 = x2 / 15.0 • x = 1.6 x 10-2 • pOH = -log(1.6 x 10-2) = 1.80 • pH = 14 – 1.80 = 12.20
Strong bases make weak adics • Strong acids make weak bases • So the larger the Ka the smaller the Kb • Ka x Kb = Kw
Polyprotic acids • Dissociate one proton at a time • Follow the same steps as an equil. problem • Calculate the pH as well as the concentration of all other chemicals present in a 5.0M H3PO4 aqueous solution. • H3PO4 Ka1 = 7.5 x 10-3 • H2PO4- Ka2 = 6.2 x 10-8 • HPO42- Ka3 = 4.8 x 10-13
H3PO4 H+ + H2PO4- • Ka1 = 7.5 x 10-3 = [H+][H2PO4-] / [H3PO4] • Chem. [init] [equil] • H+ 0 +x • H2PO4- 0 +x • H3PO4 5.0 5.0 – x = 5.0 • 7.5 x 10-3 = x2 / 5.0 • x = 0.19 = [H+] = [H2PO4-]
H2PO4- H+ + HPO42- • Ka2 = 6.2 x10-8 = [H+][HPO42-]/[H2PO4-] • Chem [init] [equil] • H+ 0.19 0.19+x = 0.19 • HPO42- 0 +x • H2PO4- 0.19 0.19 – x = 0.19 • 6.2 x10-8 = (0.19)x / 0.19 x = 6.2 x10-8 • [HPO42-] = 6.2 x 10-8
HPO42- H+ + PO43- • Ka3 = 4.8 x 10-13 = [H+][PO43-]/[HPO42-] • Chem [init.] [equil.] • H+ 0.19 0.19 + x = 0.19 • PO43- 0 +x • HPO42- 6.2 x 10-8 6.2 x10-8 -x =6.2x10-8 • 4.8 x 10-13 = (0.19)x / 6.2 x 10-8 • x = 1.6x10-19 • [PO43-] = 1.6 x 10-19
[OH-] • Kw = 1.0 x 10-14 = [H+][OH-] • 1.0 x 10-14 = (0.19)[OH-] • [OH-] = 5.3 x 10-14
Sulfuric acid • Similar to phosphoric acid except the first dissociation is complete and we can use that info for the second dissociation problem. • Calculate the [SO42-] in a 1.0M aqueous H2SO4 solution. • H2SO4 H+ + HSO4- • [H2SO4] = [H+] = [HSO4-] = 1.0
HSO4- H+ + SO42- • Ka2 = 1.2 x 10-2 = [H+][SO42-] / [HSO4-] • Chem. [init.] [equil.] • H+ 1.0 1.0 + x = 1.0 • SO42- 0 + x • HSO4- 1.0 1.0 – x = 1.0 • 1.2 x 10-2 = (1.0)x / 1.0 x = 1.2 x 10-2 • [SO42-] =1.2 x 10-2 M
Acid/Base properties of salts • Salts from strong acids/bases produce neutral solution, NaCl, KNO3 etc • Salts from weak acid, strong base produce basic solutions, NaF, KC2H3O2 • F- + H20 HF + OH- • Salts from strong acid, weak base produce acidic solutions, NH4Cl • NH4+ + H2O NH3 + H3O+
Highly charged metal ions like Al3+ produce acidic solutions when hydrated, because of the large charge it is easier to release H+ • Ka x Kb = Kw • So if you know a chemicals Ka or Kb you can determine the corresponding Ka / Kb as needed
Calculate the pH for a 0.1 M NH4Cl aqueous solution. Kb = 1.8 x 10-5 for NH3 • NH4+ reacts with water like an acid so we need it’s Ka. We get it from the Kb • Ka = Kw / Kb = 1.0 x 10-14 / 1.8 x 10-5 =5.6 x 10-10 • NH4+ + H2O NH3 + H3O+ • Chem [init.] [equil.] • NH4+ 0.1 0.1 – x = 0.1 • NH3 0 + x • H3O+ 0 + x
Ka = 5.6 x 10-10 = [NH3][H3O+] / [NH4+] • 5.6 x 10-10 = x2 / 0.1 • x = 7.5 x 10-6 = [H3O+] • pH = -log (7.5 x 10-6) = 5.13
Structure effect HClO vs HClO4 • The extra oxygens draw the electrons away from the hydrogen allowing it to be released more easily. Thus HClO4 is stronger • How do HNO2 and HNO3 compare?
Acid/Base properties of oxides • Non-metal oxides produce acids when mixed with water • SO3 + H2O H2SO4 • CO2 + H2O H2CO3 • Metal oxides produce bases when mixed with water • CaO + H2O Ca(OH)2 • Na2O + H2O NaOH
Lewis Acid/Bases • Acids accept electron pairs • Bases donate electron pairs • BH3 + NH3 BH3NH3 • BH3 is the acid • NH3 is the base