Acid-Base Reactions Copyright © 1999 by Harcourt Brace & Company All rights reserved. Requests for permission to make copies of any part of the work should be mailed to: Permissions Department, Harcourt Brace & Company, 6277 Sea Harbor Drive, Orlando, Florida 2 Stomach Acidity & Acid-Base Reactions Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Acid-Base Reactions Section 18.4 QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? HBz + NaOH ---> Na+ + Bz- + H2O C6H5CO2H = HBz Benzoate ion = BzCopyright (c) 1999 by Harcourt Brace & Company All rights reserved 3 Acid-Base Reactions Section 18.4 The product of the titration of benzoic acid, the benzoate ion, Bz-, is the conjugate base of a weak acid. The final solution is basic. Bz- + H2O HBz + OH- + + Kb = 1.6 x 10-10 Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 4 5 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? Strategy — find the conc. of the conjugate base Bz- in the solution AFTER the titration, then calculate pH. This is a two-step problem 1. stoichiometry of acid-base reaction 2. equilibrium calculation Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 6 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? STOICHIOMETRY PORTION 1. Calc. moles of NaOH req’d (0.100 L HBz)(0.025 M) = 0.0025 mol HBz This requires 0.0025 mol NaOH 2. Calc. volume of NaOH req’d 0.0025 mol (1 L / 0.100 mol) = 0.025 L 25 mL of NaOH req’d Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 7 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? STOICHIOMETRY PORTION 25 mL of NaOH req’d 3. Moles of Bz- produced = moles HBz = 0.0025 mol 4. Calc. conc. of BzThere are 0.0025 mol of Bz- in a TOTAL SOLUTION VOLUME of 125 mL [Bz-] = 0.0025 mol / 0.125 L = 0.020 M Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 8 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? EQUILIBRIUM PORTION Bz- + H2O HBz + OH[Bz-] [HBz] initial change equilib Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Kb = 1.6 x 10-10 [OH-] 9 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? EQUILIBRIUM PORTION Bz- + H2O HBz + OH[Bz-] [HBz] initial 0.020 0 change -x +x equilib 0.020 - x x Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Kb = 1.6 x 10-10 [OH-] 0 +x x 10 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? EQUILIBRIUM PORTION Bz- + H2O equilib HBz + OH[Bz-] [HBz] 0.020 - x x Kb = 1.6 x 10-10 [OH-] x 2 x Kb 1.6 x 10-10 = 0.020 - x Solving in the usual way, we find x = [OH-] = 1.8 x 10-6, pOH = 5.75, and pH = 8.25 Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 11 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH What is the pH at the half-way point? HBz + H2O H3O+ + Bz- Ka = 6.3 x 10- 5 [H3O+] = { [HBz] / [Bz-] } Ka At the half-way point, [HBz] = [Bz-], so [H3O+] = Ka = 6.3 x 10-5 pH = 4.20 Copyright (c) 1999 by Harcourt Brace & Company All rights reserved Titrations pH Copyright © 1999 by Harcourt Brace & Company All rights reserved. Requests for permission to make copies of any part of the work should be mailed to: Permissions Department, Harcourt Brace & Company, 6277 Sea Harbor Drive, Orlando, Florida Titrant volume, mL 13 Acid-Base Titrations Adding NaOH from the buret to acetic acid in the flask, a weak acid. In the beginning the pH increases very slowly. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 14 Acid-Base Titrations Additional NaOH is added. pH rises as equivalence point is approached. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 15 Acid-Base Titrations Additional NaOH is added. pH increases and then levels off as NaOH is added beyond the equivalence point. Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 16 QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? Equivalence point pH of solution of benzoic acid, a weak acid Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 17 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? EQUILIBRIUM PORTION Bz- + H2O HBz + OH[Bz-] equilib 0.020 - x Kb = 1.6 x 10-10 [HBz] [OH-] x x 2 Solving in the usual way, we find x -10 = K 1.6 x 10 -6 x = [OH ] = 1.8 x b10 , pOH = 5.75, and pH = 8.25 0.020 - x Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 18 QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH to the equivalence point. What is the pH of the final solution? Half-way point Copyright (c) 1999 by Harcourt Brace & Company All rights reserved 19 Acid-Base Reactions QUESTION: You titrate 100. mL of a 0.025 M solution of benzoic acid with 0.100 M NaOH What is the pH at the half-way point? HBz + H2O H3O+ + Bz- Ka = 6.3 x 10-5 [H3O+] = { [HBz] / [Bz-] } Ka At the half-way point, [HBz] = [Bz-], so [H3O+] = Ka = 6.3 x 10-5 pH = 4.20 Copyright (c) 1999 by Harcourt Brace & Company All rights reserved