CHEMISTRY 205 LECTURE EXAM III Material Chapter 10 PART 1 ACID - BASE CHEMISTRY I. Calculation of pH, pOH, [H+], and [OH-] Four Major Types of Systems: A. Strong Acids and bases a. 0.0001 M HCl b. 25.0 ml 0.010 M HCl + 50.0 ml 0.010 M NaOH B. Weak Acid or Weak Base 1. Weak Acid a. Calculate the pH of a 0.10 F HAc solution Ka = 1.8 x 10 -5 HC2H3O2 + H2O H3O+ + C2H3O2Initial Change at Equilibrium Page 1 b. Calculate the pH of a 0.10 F HClO2 solution Initial Change at Equilibrium (1) Method I - Quadratic (2) Method II - Sucessive Approximation C. Salts 1. Salts of Strong Acids and Bases Page 2 2. Salts of Weak Acids and Bases a Salt of a Weak Base Calculate the pH of a 0.10M NH4Cl solution Initial Change at Equilibrium b Salt of a Weak Acid Calculate the pH of 0.10 M KC2H3O2 solution Initial Change at Equilibrium Page 3 c. Salt of a weak acid and weak base D. Buffers Weak Acid or Weak Base with its salt -Common Ion effect (more, latter) Calculation of pH, pOH, [H+], and [OH-] Four Major Types of Systems: A. Strong Acids and bases B. Weak Acid or Weak Base C. Salts a. Salt of a Strong Acid or Base b. Conjugated Acid or Base - Salt of a Weak Acid or Base D. Buffers - Weak Acid or Weak Base with its salt -Common Ion effect Page 4 II. Fraction of Dissociation, = x [A ] = x+(F-x) [ A ] [HA] x = F ex. Calculate the for 0.10 M HClO2 (see page 2 "b") for [H+] III Buffers A. Background: 1. Resist Changes in pH 2. A mixture of conjugated species Consider a mixture of HC2H3O2 + NaC2H3O2 1. Buffering systems: a. A Weak acid with its salt (a salt that contains the conjugated base of the weak acid) Example: HClO and NaClO b. A Weak base with its salt (a salt that contains the conjugated acid of the weak base) Example: NH3 and NH4Cl c. Acid Salts Example: NaHCO3 d. A Salt of a weak acid & weak base Example: NH4C2H3O2 Page 5 B. Buffer Calculations: 1. Calculate the [H3O+] for:a solution that is 0.500 M acetic acid and sodium acetate. Ka = 1.8 x 10-5 HC2H3O2 + H2O H3O+ Initial Change at Equilibrium Page 6 + C2H3O2- 0.500 M 2. Calculate the pH when 25.0 ml of 0.150 M HCl is added to 40.0 ml of 0.200 M NH3 Kb = 1.8 x 10-5 Reaction: Moles Before Reaction Change Moles After Reaction Molarity After Reaction TYPE 1 Calculation: Equilibrium: Initial Change at Equilibrium TYPE 2 Calculation: Henderson - Hasselbalch equation: [H+][A-] Ka= [HA] [H+][A-] log Ka = log [HA] Derivation: [A-] log Ka = log [H+] + log [HA] - log [H+] pH Therefore: [A-] = -log Ka + log [HA] pKa [A-] pH = pKa + log [HA] Page 7 3 a. How many grams of NH4Cl must be added to 1 - Liter of a 0.10 M solution of NH3(aq) to adjust the pH to 9.000. Kb = 1.8 x 10-5 NH3 + H2O NH4+ + OH- Initial Change at Equilibrium 5. A Strong acid is added to a salt to form a Buffer Solution a. How many moles of a strong monoprotic acid must be added to 1-L of a 0.40 M sodium formate, NaCO2H, solution to prepare a buffer of a pH = 4.35 Ka = 1.77 x 10-4 Reaction: Equilibrium Eqn: Initial Change at Equilibrium Page 8 CHAPTER 11 PART II POLYPROTIC ACID-BASE EQUILIBRIA I Calculation of the pH of diprotic and dibasic acids and bases Diprotic acids are acids which can donate more than one protron whoses salts can accept more than one Ex. A. Background: H2A H+ + HAHA- H+ + A2- Ka1 Ka2 A2- + H2O HA- + OHHA- + H2O H2A + OH- Kb1 Kb2 H2A H+ + HAHA- + H2O H2A + OH- Ka1 Kb2 and B. Acidic, Basic and Intermediate Forms Acidic Form` Basic form Page 9 Intermediate Form proton. 1.. Acidic Form Calculation of pH of 0.10 M H2CO3 Equilibrium Eqn: Initial Change at Equilibrium 2. Basic Form Calculation of pH of 0.10 M Na2CO3 Equilibrium Eqn: Initial Change at Equilibrium Page 10 2. Intermediate Form HA- H+ + A2HA- + H2O H2A + OH- Ka2 Kb2 Page 11 Page 12 C. Amino Acids Background Calculations: Glycine where R = H 1. Calculate the pH of 0.10 M Glycine as H2A+ (Acidic form) Equilibrium Eqn: Initial Change at Equilibrium Page 13 2. Calculate the pH of 0.10 M Glycine as HA (neutral form) Equilibrium Eqn: Initial Change at Equilibrium 3. Calculate the pH of 0.10 M Glycine as A-(Basic Form) Equilibrium Eqn: Initial Change at Equilibrium Page 14 Chapter 12 PART II NEUTRALIZATION TITRATIONS I. Titration curve for a strong acid titrated with a strong base 50.0 mls of 0.10M HCl is titrated with 0.10 M NaOH RXN: HCl + NaOH ---> NaCl + H2O NOTE: Only for a strong acid-strong base titration the pH = 7 at the endpoint(equivalence, really)! Construction of Titration Curve Calculation of the volume of base needed to reach the equivalence point 0 ml NaOH - BEFORE ADDITION pH calculation 25.00 ml NaOH = BEFORE THE EQUIVALENCE POINT pH calculation 49.99 ml NaOH = BEFORE THE EQUIVALENCE POINT pH calculation Page 15 50.00 ml NaOH = EQUIVALENCE POINT pH calculation 75.00 ml NaOH = AFTER THE EQUIVALENCE POINT pH calculation Graph Page 16 II. Titration curve for a strong base titrated with a strong acid 50.0 mls of 0.10M KOH is titrated with 0.10 M HCL RXN: HCl + KOH ---> KCl + H2O NOTE: Only for a strong acid-strong base titration the pH = 7 at the endpoint ! III. Indicators used in Titrations A. Indicator selection Titration of an unknown weak acid 1. End-point determination Use an indicator that changes at the equivalence point 2. Calculation of error if a wrong indicator is used B. Indicator Theory 1. Background Page 17 2. Range calculation Methyl Orange a) In acid solution: b) In basic solution: c) Range for color change d) Indicator Selection: Page 18 IV. Titration curve for a Weak Acid titrated with a strong base Four Regions 1. 2. 3. 4. 50.0 mls of 0.10M HAc is titrated with 0.10 M NaOH RXN: HAc + NaOH ---> NaAc + H2O NOTE: For a weak acid-strong base titration the pH ≠ 7 at the endpoint ! Construction of Titration Curve Calculation of the volume of base needed to reach the equivalence point Region 1 = Before addition of base pH calculation Region 2 = Buffer Region {BEFORE THE EQUIVALENCE POINT} pH calculation Method 1. Page 19 Method 2 Page 20 Region 3 = THE EQUIVALENCE POINT pH calculation Region 4 = AFTER THE EQUIVALENCE POINT pH calculation Page 21 Graph V. Titration curve for a Weak Base titrated with a strong acid Four Regions 1. 2. 3. 4.. 50.0 mls of 0.10M CH3NH2 (mehtyl amine) is titrated with 0.10 M HCl RXN: HCl + CH3NH2 ---> CH3NH3+ + Cl- Page 22 VI Titration curves for polyfunctional acids and bases Poly functional acids and bases will give multiple end points in a titration. Construction of Titration Curve 25.0 mls of 0.1000M Maleic acid [C2H2(COOH)2 is titrated with 0.1000 M NaOH Equilibria: HM- + H3O+ HM- + H2O M2- + H3O+ H2 M + H 2 O Ka1 = 1.20 x 10-2 Ka2 = 5.96 x 10-7 Calculation of the volume of base needed to reach the equivalence point Region 1 = Before addition of base pH calculation Region 2 = First Buffer Region {BEFORE THE FIRST EQUIVALENCE POINT} pH calculation Page 23 Region 3 = THE FIRST EQUIVALENCE POINT pH calculation Region 4 = SECOND Buffer Region {BEFORE THE SECOND EQUIVALENCE POINT} pH calculation Page 24 Region 5 = THE SECOND EQUIVALENCE POINT pH calculation Region 6 = AFTER THE EQUIVALENCE POINT pH calculation Page 25 Graph VI Titrations in Nonaqueous solvents A. Strengths of acids and bases B. The leveling effect Page 26 PART III EDTA TITRATIONS Chapter 13 I. CHELATING AGENTS 1. 2. 3. 4. Examples: II. EDTA A. Structure Acid, protonated form Base form (complexing form) B. Complexes: 1. 2. 3. 4. Page 27 5. Formation constants a. Background - Fractional composition equations b. Computation of 4 values for EDTA 4 = K1K2K3K4 + 4 + 3 [H ] + K1[H ] + K1K2[H+]2 + K1K2K3[H+] + K1K2K3K4 The 4 equation shows that the tetrabasic form of EDTA,Y4-, is pH dependant! Page 28 able 13-2 lists 4 at selected pH values (1) Kf at various pH (2) Calculate the molar Y4- concentration in a 0.33 M EDTA solution buffered at pH = 9.0 III. EDTA Titration curves THREE REGIONS 1. Excess metal ion 2. Metal-EDTA dissociation 3. Excess EDTA 50.0 mls of 0.10M CaCl2 is titrated with 0.10 M EDTA Page 29 RXN: Ca2+ + Y4- ---> CaY2Construction of Titration Curve Calculation of the volume of base needed to reach the equivalence point Region 1 = Before addition of EDTA EXCESS Ca2+ DISSOCIATION OF CaY2- is negligable Calculation of pCa2+ Region 2 = EQUIVALENCE POINT FREE Ca2+is from the dissociation of CaY2Calculation of pCa2+ Page 30 Region 3 = AFTER THE EQUIVALENCE POINT EXCESS EDTA - All Ca2+ is essentially complexed FREE Ca2+is from the slight dissociation of CaY2Calculation of pCa2+ Graph Page 31