Titration: Weak Acid/Strong Base


Calculate pH using 40.0 mL 0.10M HAc and:
(a) 0 mL NaOH
(b) 20.00 mL NaOH
(c) 30.00 mL NaOH
(d) 40.00 mL NaOH
(e) 50.00 mL NaOH

(a) 0.100 M HAc    HAc  H+ + Ac-
                              .1-x        x       x      Ka = x2/(.1) = 1.8x10-5
                                                               x = [H+] = 1.34x10-3   pH = 2.87

(b) HAc:     mol = n = MxL = (0.100)(0.0400) = 0.00400 mol
     NaOH:  n = MxL = (0.100)(0.0200) = 0.00200 mol
     HAc in excess by 0.00200 mol,  0.00200 mol Ac-1 produced!
     total volume = 60.00 mL = 0.06000 L
     We now have buffer with HAc, H+1, and Ac-1

      [HAc] = 0.00200 mol/0.0600L = 0.333M
      [H+1] = ?
      [Ac-1] = 0.00200 mol/0.0600L = 0.333M
      To attain equilibrium, shift takes place to to the right.
     HAc   H +  Ac-
     .333-x       x      .333+x
     After approximation, Ka = [H+1] = 1.8x10-5   pH = 4.74
 

(c) HAc:     n = MxL = (0.100)(0.0400) = 0.00400 mol
     NaOH:  n = MxL = (0.100)(0.0300) = 0.00300 mol
     HAc in excess by 0.00100 mol,  0.00300 mol Ac-1 produced!
     total volume = 70.00 mL = 0.07000 L
    We now have buffer with HAc, H+1, and Ac-1

      [HAc] = 0.00100 mol/0.0700L = 0.0143M
      [H+1] = ?
      [Ac-1] = 0.00300 mol/0.0700L = 0.0429M
      To attain equilibrium, shift takes place to to the right.
      HAc   H +  Ac-
     .0143-x     x      .0429+x
     After approximation, Ka = x(.0429)/(0.0143) = 1.8x10-5
                                       x = [H+1] = 6.0x10-6      pH = 5.22

(d) HAc:     n = MxL = (0.100)(0.0400) = 0.00400 mol
     NaOH:  n = MxL = (0.100)(0.0400) = 0.00400 mol
     [NaAc] = 0.00400mol/0.0800L = 0.0500M
     Solution not neutral because Ac-1 undergoes hydrolysis
 
     Ac-1  HAc  + OH-1
      0.050       x          x
     Kb = [HAc][OH-1]/[Ac-1] = x2/0.050 = 5.6x10-10
     x = [OH-1] = 5.3x10-6     pOH = 5.28   pH =8.72

 
(e) HAc:     n = MxL = (0.100)(0.0400) = 0.00400 mol
     NaOH:  n = MxL = (0.100)(0.0500) = 0.00500 mol
     NaOH in excess by 0.00100 mol,  volume = 90.00 mL = 0.09000 L
     [OH-1] = 0.00100mol/0.09000L = 0.0111 M   pOH = 1.95  pH= 12.05