pH Scale and Calculations

        Chapter 14
       Page 565-574
pH Scale
• We use this scale to measure the strength
  of an acid or base.
• pH is defined as the –log[H+]
• pH can use the concentration of
  hydronium ions or hydrogen ions.
7
         Acid                                                   Base


 0                        pH Scale                                     14




Zumdahl, Zumdahl , DeCoste, World of Chemistry 2002, page 515
pH of Common Substances




Timberlake, Chemistry 7th Edition, page 335
pH of Common Substance
                                    pH     [H1+]      [OH1-]     pOH

                                    14   1 x 10-14   1 x 10-0     0
              NaOH, 0.1 M           13   1 x 10-13   1 x 10-1     1
              Household bleach
                                    12   1 x 10-12   1 x 10-2     2
More basic


              Household ammonia

              Lime water            11   1 x 10-11   1 x 10-3     3
              Milk of magnesia
                                    10   1 x 10-10   1 x 10-4     4
              Borax
                                    9    1 x 10-9    1 x 10-5     5
              Baking soda
              Egg white, seawater   8    1 x 10-8    1 x 10-6     6
              Human blood, tears
              Milk                   7   1 x 10-7    1 x 10-7     7
              Saliva
              Rain                  6    1 x 10-6    1 x 10-8     8
More acidic




              Black coffee          5    1 x 10-5    1 x 10-9     9
              Banana
              Tomatoes              4    1 x 10-4    1 x 10-10   10
              Wine
              Cola, vinegar         3    1 x 10-3    1 x 10-11   11
              Lemon juice
                                    2    1 x 10-2    1 x 10-12   12
              Gastric juice
                                    1    1 x 10-1    1 x 10-13   13
                                    0    1 x 100     1 x 10-14   14
Acid – Base Concentrations
                                                 10-1
                                                            pH = 3                         pH = 11
                       concentration (moles/L)


                                                          H3O+                                      OH-


                                                                            pH = 7
                                                 10-7
                                                                           H3O+    OH-



                                                                  OH-                      H3O+

                                                 10-14
                                                         [H3O+] > [OH-]   [H3O+] = [OH-]   [H3O+] < [OH-]

                                                            acidic           neutral         basic
Timberlake, Chemistry 7th Edition, page 332                solution          solution       solution
pH
      pH = -log [H+]




Kelter, Carr, Scott, Chemistry A World of Choices 1999, page 285
Self-Ionization Of Water
• Even the purest of water conducts electricity. This
  is due to the fact that water self-ionizes, that is, it
  creates a small amount of H3O+ and OH-.
      H2O + H2O  H3O+ + OH-
      Kw = [H3O+][OH-]

• Kw - ion product of water
  Kw = 1.0 x 10-14 at 25 oC

• This equilibrium constant is very important because
  it applies to all aqueous solutions - acids, bases,
  salts, and non-electrolytes - not just to pure water.
Self ionization reaction of water:
                                                +          -
    O            O                   O
H        + H                    H              H + O
                  H                                    H
    H                                    H

                                               
            2 H2O ļ‚« H3 O OH
                          
    K w [H3O ] [OH ] 10                -14
                                               (at 25ļ‚°
                                                     C)

                        Kw
              [H 3O ] 
                        [OH-]
pH and pOH
• pH = - log[H3O+]      [H3O+] = 10-pH
  pOH = - log[OH-]      [OH-] = 10-pOH

• pKw = pH + pOH = 14.00
• neutral solution: [H3O+] = [OH-] = 10 –7 M pH = 7.0
  acidic solution: [H3O+] > 10-7 M          pH < 7.0
  basic solution:    [H3O+] < 10-7 M        pH > 7.0
Practice
• Finish the following for homework

Page 566 #12-15 (using Kw)
Page 569 # 16-19 (using pH = -log[H+]
Page 572 # 20-23
Page 578 # 2, 6-8

P H Scale And Calculations

  • 1.
    pH Scale andCalculations Chapter 14 Page 565-574
  • 2.
    pH Scale • Weuse this scale to measure the strength of an acid or base. • pH is defined as the –log[H+] • pH can use the concentration of hydronium ions or hydrogen ions.
  • 3.
    7 Acid Base 0 pH Scale 14 Zumdahl, Zumdahl , DeCoste, World of Chemistry 2002, page 515
  • 4.
    pH of CommonSubstances Timberlake, Chemistry 7th Edition, page 335
  • 5.
    pH of CommonSubstance pH [H1+] [OH1-] pOH 14 1 x 10-14 1 x 10-0 0 NaOH, 0.1 M 13 1 x 10-13 1 x 10-1 1 Household bleach 12 1 x 10-12 1 x 10-2 2 More basic Household ammonia Lime water 11 1 x 10-11 1 x 10-3 3 Milk of magnesia 10 1 x 10-10 1 x 10-4 4 Borax 9 1 x 10-9 1 x 10-5 5 Baking soda Egg white, seawater 8 1 x 10-8 1 x 10-6 6 Human blood, tears Milk 7 1 x 10-7 1 x 10-7 7 Saliva Rain 6 1 x 10-6 1 x 10-8 8 More acidic Black coffee 5 1 x 10-5 1 x 10-9 9 Banana Tomatoes 4 1 x 10-4 1 x 10-10 10 Wine Cola, vinegar 3 1 x 10-3 1 x 10-11 11 Lemon juice 2 1 x 10-2 1 x 10-12 12 Gastric juice 1 1 x 10-1 1 x 10-13 13 0 1 x 100 1 x 10-14 14
  • 6.
    Acid – BaseConcentrations 10-1 pH = 3 pH = 11 concentration (moles/L) H3O+ OH- pH = 7 10-7 H3O+ OH- OH- H3O+ 10-14 [H3O+] > [OH-] [H3O+] = [OH-] [H3O+] < [OH-] acidic neutral basic Timberlake, Chemistry 7th Edition, page 332 solution solution solution
  • 7.
    pH pH = -log [H+] Kelter, Carr, Scott, Chemistry A World of Choices 1999, page 285
  • 8.
    Self-Ionization Of Water •Even the purest of water conducts electricity. This is due to the fact that water self-ionizes, that is, it creates a small amount of H3O+ and OH-. H2O + H2O  H3O+ + OH- Kw = [H3O+][OH-] • Kw - ion product of water Kw = 1.0 x 10-14 at 25 oC • This equilibrium constant is very important because it applies to all aqueous solutions - acids, bases, salts, and non-electrolytes - not just to pure water.
  • 9.
    Self ionization reactionof water: + - O O O H + H H H + O H H H H   2 H2O ļ‚« H3 O OH   K w [H3O ] [OH ] 10 -14 (at 25ļ‚° C)  Kw [H 3O ]  [OH-]
  • 10.
    pH and pOH •pH = - log[H3O+] [H3O+] = 10-pH pOH = - log[OH-] [OH-] = 10-pOH • pKw = pH + pOH = 14.00 • neutral solution: [H3O+] = [OH-] = 10 –7 M pH = 7.0 acidic solution: [H3O+] > 10-7 M pH < 7.0 basic solution: [H3O+] < 10-7 M pH > 7.0
  • 11.
    Practice • Finish thefollowing for homework Page 566 #12-15 (using Kw) Page 569 # 16-19 (using pH = -log[H+] Page 572 # 20-23 Page 578 # 2, 6-8