Acid – Base Titrations
Titration of HCl with NaOH
0.00 mL Titrant Added Titration Reaction H+ OH- H2O end = 0.1000 M = 0 M lots Equilibrium Reaction H2O H+ OH- Initial lots 0.1000 0 Change - x + x + x Equilibrium lots ~0.1000 x [H+] = 0.1000 M Concentration pH = - log(0.1000) = 1.00
25.00 mL Titrant Added (Equivalence Point) Titration Reaction H+ OH- H2O start (0.1000M)(0.02500L) (0.1000M)(0.02500L) = 0.002500 mol = 0.002500 mol = 0 mol end 0 mol 0 mol lots = 0 M = 0 M lots Equilibrium Reaction H2O H+ OH- Initial lots 0 0 Change - x + x + x Equilibrium lots x x 10-14 = x2 x = [H+] = 10-7 M Concentration pH = - log(10-7) = 7.00
50.00 mL Titrant Added Titration Reaction H+ OH- H2O start (0.1000M)(0.02500L) (0.1000M)(0.05000L) = 0.002500 mol = 0.005000 mol = 0 mol end 0 mol 0.002500 mol 0.002500 mol 0.002500mol/0.07500L = 0 M = 0.03333 M lots Equilibrium Reaction H2O H+ OH- Initial lots 0 0.03333 Change - x + x + x Equilibrium lots x ~0.03333 [OH-] = 0.03333 M Concentration pOH = - log(0.03333) = 1.50 or pH = 14 - 1.50 = 12.50
Concentration Effects 0.1 M HCl titrated with 0.1 M NaOH 0.001 M HCl titrated with 0.001 M NaOH Methyl Red Indicator Thymol Blue Indicator Phenolphthalein Indicator
Strong Acid vs. Strong Base Titration
Titration of HAc with NaOH
0.00 mL Titrant Added Titration Reaction HAc OH- Ac- H2O end = 0.1000 M = 0 M = 0M lots Equilibrium Reaction HAc H+ Ac- Initial 0.1000 0 0 Change - x + x + x Equilibrium ~0.10000 x x 1.75 x 10-5 = x2 / 0.1000 x = [H+] = 0.00132 M Concentration pH = - log(0.00132) = 2.88
12.50 mL Titrant Added Titration Reaction HAc OH- Ac- H2O start (0.1000M)(0.02500L) (0.1000M)(0.01250L) = 0.002500 mol = 0.001250 mol 0 0 end 0.001250 mol 0 mol 0.001250 0.00125 0.001250mol/0.03750L = 0.03333 M = 0 M = 0.03333 M lots Equilibrium Reaction HAc H+ Ac- Initial 0.03333 0 0.03333 pH = 4.76 + log(0.03333/0.03333) = 4.76 Concentration pH = 4.76
25.00 mL Titrant Added Titration Reaction HAc OH- Ac- H2O start (0.1000M)(0.02500L) (0.1000M)(0.02500L) = 0.002500 mol = 0.002500 mol 0 0 end 0 mol 0 mol 0.002500 0.002500 0.002500/0.05000 = 0 M = 0 M = 0.05000 lots Equilibrium Reaction Ac- H2O HAc OH- Initial 0.05000 lots 0 0 Change - x - x + x + x Equilibrium ~0.05000 lots x x Kb = 10-14 / (1.75 x 10-5) = 5.71 x 10-10 = x2 / 0.05000 x = [OH-] = 5.34 x 10-6 M Concentration pOH = - log(5.34 x 10-6) = 5.27 or pH = 14 - 5.27 = 8.73
50.00 mL Titrant Added Titration Reaction HAc OH- Ac- H2O start (0.1000M)(0.02500L) (0.1000M)(0.05000L) = 0.002500 mol = 0.005000 mol 0 0 end 0 mol 0.002500 mol 0.002500 0.002500 mol 0.002500mol/0.07500L = 0 M = 0.03333 M = 0.03333 M lots Equilibrium Reaction Ac- H2O HAc OH- Initial 0.03333 lots 0 0.03333 Change - x - x + x + x Equilibrium ~0.03333 lots x ~0.03333 [OH-] = 0.03333 M Concentration pOH = - log(0.03333) = 1.48 or pH = 14 - 1.48 = 12.52
Methyl Red Thymol Blue Phenolphthalein
Effect of Concentration and Strength
Weak Acid vs. Weak Base Titration
Acid-Base Indicators Phenolphthalein Basic Form = Pink Acidic Form = Colorless
Bromothymol Blue
0.1 M HAc titrated with 0.1 M NaOH Methyl Red Indicator Phenolphthalein Indicator