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General Chemistry
Principles and Modern Applications
   Petrucci • Harwood • Herring
             8th Edition


       Chapter 14: Solutions and Their
             Physical Properties
                             Philip Dutton
                    University of Windsor, Canada
                               N9B 3P4

                        Prentice-Hall © 2002
Contents

14-1   Types of Solutions: Some Terminology
14-2   Solution Concentration
14-3   Intermolecular Forces and the Solution Process
14-4   Solution Formation and Equilibrium
14-5   Solubilities of Gases
14-6   Vapor Pressure of Solutions
14-7   Osmotic Pressure




Prentice-Hall      General Chemistry: ChapterSlide 2 of 46
                                              14
Contents

14-8  Freezing-Point Depression and Boiling-Point Elevation
      of Nonelectrolyte solutions.
14-9 Solutions of Electrolytes
14-10 Colloidal Mixtures
      Focus on Chromatography




Prentice-Hall     General Chemistry: ChapterSlide 3 of 46
                                             14
13-1 Types of Solution:
              Some Terminology
• Solutions are homogeneous mixtures.
   – Uniform throughout.
• Solvent.
   – Determines the state of matter in which the solution
     exists.
   – Is the largest component.
• Solute.
   – Other solution components said to be dissolved in the
     solution.

Prentice-Hall     General Chemistry: ChapterSlide 4 of 46
                                             14
Table 14.1 Some Common Solutions




Prentice-Hall   General Chemistry: ChapterSlide 5 of 46
                                           14
14-2 Solution Concentration.

• Mass percent.                     (m/m)
• Volume percent.                   (v/v)
• Mass/volume percent.              (m/v)

• Isotonic saline is prepared by dissolving 0.9 g
  of NaCl in 100 mL of water and is said to be:
            0.9% NaCl (mass/volume)



Prentice-Hall   General Chemistry: ChapterSlide 6 of 46
                                           14
10% Ethanol Solution (v/v)




Prentice-Hall   General Chemistry: ChapterSlide 7 of 46
                                           14
ppm, ppb and ppt

• Very low solute concentrations are expressed as:

  ppm: parts per million              (µg/g, mg/L)
  ppb: parts per billion              (ng/g, µg/L)
  ppt: parts per trillion             (pg/g, ng/L)

  note that 1.0 L  1.0 g/mL = 1000 g
  ppm, ppb, and ppt are properly m/m or v/v.


Prentice-Hall    General Chemistry: ChapterSlide 8 of 46
                                            14
Mole Fraction and Mole Percent


                Amount of component i (in moles)
       χ=
            Total amount of all components (in moles)


                 χ1 + χ2 + χ3 + …χn = 1


                  Mole % i = χi  100%




Prentice-Hall      General Chemistry: ChapterSlide 9 of 46
                                              14
Molarity and Molality


                     Amount of solute (in moles)
  Molarity (M) =
                    Volume of solution (in liters)


                     Amount of solute (in moles)
  Molality (m) =
                    Mass of solvent (in kilograms)




Prentice-Hall      General Chemistry: ChapterSlide 10 of 46
                                              14
14-3 Intermolecular Forces and the
            Solution Process


                ΔHb                            ΔHc




                      ΔHa




Prentice-Hall         General Chemistry: ChapterSlide 11 of 46
                                                 14
Intermolecular Forces in Mixtures

• Magnitude of ΔHa, ΔHb, and
  ΔHc depend on intermolecular
  forces.

• Ideal solution
   – Forces are similar between all
     combinations of components.
                                               ΔHsoln = 0




  Prentice-Hall     General Chemistry: ChapterSlide 12 of 46
                                               14
Ideal Solution




Prentice-Hall   General Chemistry: ChapterSlide 13 of 46
                                           14
Non-ideal Solutions


• Adhesive forces greater
  than cohesive forces.




                         ΔHsoln < 0


  Prentice-Hall     General Chemistry: ChapterSlide 14 of 46
                                               14
Non-ideal Solutions

• Adhesive forces are less than
  cohesive forces.


           ΔHsoln > 0


• At the limit these solutions
  are heterogeneous.


Prentice-Hall     General Chemistry: ChapterSlide 15 of 46
                                             14
Ionic Solutions




Prentice-Hall   General Chemistry: ChapterSlide 16 of 46
                                           14
Hydration Energy

     NaCl(s) → Na+(g) + Cl-(g)             ΔHlattice > 0


     Na+(g) + xs H2O(l) → Na+(aq)          ΔHhydration < 0


     Cl-(g) + xs H2O(l) → Cl-(aq)          ΔHhydration < 0


                ΔHsoln > 0 but ΔGsolution < 0



Prentice-Hall        General Chemistry: ChapterSlide 17 of 46
                                                14
14-4 Solution Formation and Equilibrium




                                             saturated



Prentice-Hall   General Chemistry: ChapterSlide 18 of 46
                                           14
Solubility Curves

                   Supersaturated   Unsaturated




Prentice-Hall    General Chemistry: ChapterSlide 19 of 46
                                            14
14-5 Solubility of Gases

                     • Most gases are less soluble
                       in water as temperature
                       increases.
                     • In organic solvents the
                       reverse is often true.




Prentice-Hall   General Chemistry: ChapterSlide 20 of 46
                                           14
Henry’s Law

• Solubility of a gas increases
                                             C = k Pgas
  with increasing pressure.


                C        23.54 mL    = 23.54 ml N2/atm
      k=            =
               Pgas      1.00 atm


                C           100 mL
      Pgas =        =                      = 4.25 atm
                k        23.54 ml N2/atm


Prentice-Hall       General Chemistry: ChapterSlide 21 of 46
                                               14
Henry’s Law




Prentice-Hall   General Chemistry: ChapterSlide 22 of 46
                                           14
14-6 Vapor Pressures of Solutions

• Roault, 1880s.
   – Dissolved solute lowers vapor pressure of solvent.
   – The partial pressure exerted by solvent vapor above an
     ideal solution is the product of the mole fraction of
     solvent in the solution and the vapor pressure of the
     pure solvent at a given temperature.


                     PA = χA P°A



Prentice-Hall     General Chemistry: ChapterSlide 23 of 46
                                             14
Example 14-6
Predicting vapor pressure of ideal solutions.
The vapor pressures of pure benzene and toluene at 25°C are
95.1 and 28.4 mm Hg, respectively. A solution is prepared in
which the mole fractions of benzene and toluene are both
0.500. What are the partial pressures of the benzene and
toluene above this solution? What is the total vapor pressure?

 Balanced Chemical Equation:
 Pbenzene = χbenzene P°benzene = (0.500)(96.1 mm Hg) = 47.6 mm Hg

 Ptoluene = χtoluene P°toluene = (0.500)(28.4 mm Hg) = 14.2 mm Hg

                           Ptotal = Pbenzene + Ptoluene = 61.8 mm Hg

 Prentice-Hall       General Chemistry: ChapterSlide 24 of 46
                                                14
Example 14-7
Calculating the Composition of Vapor in Equilibrium with a
Liquid Solution.
What is the composition of the vapor in equilibrium with the
benzene-toluene solution?
 Partial pressure and mole fraction:

    χbenzene = Pbenzene/Ptotal = 47.6 mm Hg/61.89 mm Hg = 0.770


    χtoluene = Ptoluene/Ptotal = 14.2 mm Hg/61.89 mm Hg = 0.230




  Prentice-Hall      General Chemistry: ChapterSlide 25 of 46
                                                14
Liquid-Vapor Equilibrium




Prentice-Hall   General Chemistry: ChapterSlide 26 of 46
                                           14
Fractional Distillation




Prentice-Hall       General Chemistry: ChapterSlide 27 of 46
                                               14
Fractional Distillation




Prentice-Hall       General Chemistry: ChapterSlide 28 of 46
                                               14
Non-ideal behavior




Prentice-Hall     General Chemistry: ChapterSlide 29 of 46
                                             14
14-7 Osmotic Pressure




Prentice-Hall   General Chemistry: ChapterSlide 30 of 46
                                           14
Osmotic Pressure

For dilute solutions of electrolytes:



                         πV = nRT

                         n
                    π=     RT = M RT
                         V




Prentice-Hall      General Chemistry: ChapterSlide 31 of 46
                                              14
Osmotic Pressure

                                 Hypertonic > 0.92% m/V
                                        crenation

                                 Isotonic Saline 0.92% m/V



                                 Hypotonic > 0.92% m/V
                                        rupture




Prentice-Hall    General Chemistry: ChapterSlide 32 of 46
                                            14
Reverse Osmosis - Desalination




Prentice-Hall   General Chemistry: ChapterSlide 33 of 46
                                           14
14-8 Freezing-Point Depression and
Boiling Point Elevation of Nonelectrolyte
                Solutions

• Vapor pressure is lowered when a solute is present.
   – This results in boiling point elevation.
   – Freezing point is also effected and is lowered.
• Colligative properties.
   – Depends on the number of particles present.




 Prentice-Hall      General Chemistry: ChapterSlide 34 of 46
                                               14
Vapor Pressure Lowering



                                          ΔTf = -Kf  m




                                          ΔTb = -Kb  m




Prentice-Hall   General Chemistry: ChapterSlide 35 of 46
                                           14
Practical Applications




Prentice-Hall   General Chemistry: ChapterSlide 36 of 46
                                           14
14-9 Solutions of Electrolytes
• Svante Arrhenius
   – Nobel Prize 1903.
   – Ions form when electrolytes dissolve in solution.
   – Explained anomalous colligative properties

 Compare 0.0100 m aqueous urea to 0.0100 m NaCl (aq)

    ΔTf = -Kf  m = -1.86°C m-1  0.0100 m = -0.0186°C

 Freezing point depression for NaCl is -0.0361°C.



Prentice-Hall     General Chemistry: ChapterSlide 37 of 46
                                             14
van’t Hoff

          measured ΔTf        0.0361°C
    i=                   =                = 1.98
          expected ΔTf        0.0186°C


                   π = -i  M  RT

                  ΔTf = -i  Kf  m

                  ΔTb = -i  Kb  m




Prentice-Hall    General Chemistry: ChapterSlide 38 of 46
                                            14
Interionic Interactions
• Arrhenius theory does not correctly predict the
  conductivity of concentrated electrolytes.




Prentice-Hall   General Chemistry: ChapterSlide 39 of 46
                                           14
Debye and Hückel

• 1923
   – Ions in solution do not
     behave independently.
   – Each ion is surrounded
     by others of opposite
     charge.
   – Ion mobility is reduced
     by the drag of the ionic
     atmosphere.



Prentice-Hall     General Chemistry: ChapterSlide 40 of 46
                                             14
14-10 Colloidal Mixtures




Prentice-Hall   General Chemistry: ChapterSlide 41 of 46
                                           14
Colloids

                      • Particles of 1-1000 nm size.
                          – Nanoparticles of various
                            shapes: rods, discs, spheres.
                          – Particles can remain
                            suspended indefinitly.
                             • Milk is colloidal.
                      • Increasing ionic strength
                        can cause precipitation.



Prentice-Hall   General Chemistry: ChapterSlide 42 of 46
                                           14
Dialysis




Prentice-Hall   General Chemistry: ChapterSlide 43 of 46
                                           14
Focus on Chromatography

                                  Stationary Phase
                                         silicon gum
                                         alumina
                                         silica
                                  Mobile Phase
                                         solvent
                                         gas




Prentice-Hall   General Chemistry: ChapterSlide 44 of 46
                                           14
Chromatography




Prentice-Hall    General Chemistry: ChapterSlide 45 of 46
                                            14
Chapter 14 Questions

Develop problem solving skills and base your strategy not
on solutions to specific problems but on understanding.


Choose a variety of problems from the text as examples.


Practice good techniques and get coaching from people who
have been here before.




Prentice-Hall      General Chemistry: ChapterSlide 46 of 46
                                              14

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Ch14

  • 1. General Chemistry Principles and Modern Applications Petrucci • Harwood • Herring 8th Edition Chapter 14: Solutions and Their Physical Properties Philip Dutton University of Windsor, Canada N9B 3P4 Prentice-Hall © 2002
  • 2. Contents 14-1 Types of Solutions: Some Terminology 14-2 Solution Concentration 14-3 Intermolecular Forces and the Solution Process 14-4 Solution Formation and Equilibrium 14-5 Solubilities of Gases 14-6 Vapor Pressure of Solutions 14-7 Osmotic Pressure Prentice-Hall General Chemistry: ChapterSlide 2 of 46 14
  • 3. Contents 14-8 Freezing-Point Depression and Boiling-Point Elevation of Nonelectrolyte solutions. 14-9 Solutions of Electrolytes 14-10 Colloidal Mixtures Focus on Chromatography Prentice-Hall General Chemistry: ChapterSlide 3 of 46 14
  • 4. 13-1 Types of Solution: Some Terminology • Solutions are homogeneous mixtures. – Uniform throughout. • Solvent. – Determines the state of matter in which the solution exists. – Is the largest component. • Solute. – Other solution components said to be dissolved in the solution. Prentice-Hall General Chemistry: ChapterSlide 4 of 46 14
  • 5. Table 14.1 Some Common Solutions Prentice-Hall General Chemistry: ChapterSlide 5 of 46 14
  • 6. 14-2 Solution Concentration. • Mass percent. (m/m) • Volume percent. (v/v) • Mass/volume percent. (m/v) • Isotonic saline is prepared by dissolving 0.9 g of NaCl in 100 mL of water and is said to be: 0.9% NaCl (mass/volume) Prentice-Hall General Chemistry: ChapterSlide 6 of 46 14
  • 7. 10% Ethanol Solution (v/v) Prentice-Hall General Chemistry: ChapterSlide 7 of 46 14
  • 8. ppm, ppb and ppt • Very low solute concentrations are expressed as: ppm: parts per million (µg/g, mg/L) ppb: parts per billion (ng/g, µg/L) ppt: parts per trillion (pg/g, ng/L) note that 1.0 L  1.0 g/mL = 1000 g ppm, ppb, and ppt are properly m/m or v/v. Prentice-Hall General Chemistry: ChapterSlide 8 of 46 14
  • 9. Mole Fraction and Mole Percent Amount of component i (in moles) χ= Total amount of all components (in moles) χ1 + χ2 + χ3 + …χn = 1 Mole % i = χi  100% Prentice-Hall General Chemistry: ChapterSlide 9 of 46 14
  • 10. Molarity and Molality Amount of solute (in moles) Molarity (M) = Volume of solution (in liters) Amount of solute (in moles) Molality (m) = Mass of solvent (in kilograms) Prentice-Hall General Chemistry: ChapterSlide 10 of 46 14
  • 11. 14-3 Intermolecular Forces and the Solution Process ΔHb ΔHc ΔHa Prentice-Hall General Chemistry: ChapterSlide 11 of 46 14
  • 12. Intermolecular Forces in Mixtures • Magnitude of ΔHa, ΔHb, and ΔHc depend on intermolecular forces. • Ideal solution – Forces are similar between all combinations of components. ΔHsoln = 0 Prentice-Hall General Chemistry: ChapterSlide 12 of 46 14
  • 13. Ideal Solution Prentice-Hall General Chemistry: ChapterSlide 13 of 46 14
  • 14. Non-ideal Solutions • Adhesive forces greater than cohesive forces. ΔHsoln < 0 Prentice-Hall General Chemistry: ChapterSlide 14 of 46 14
  • 15. Non-ideal Solutions • Adhesive forces are less than cohesive forces. ΔHsoln > 0 • At the limit these solutions are heterogeneous. Prentice-Hall General Chemistry: ChapterSlide 15 of 46 14
  • 16. Ionic Solutions Prentice-Hall General Chemistry: ChapterSlide 16 of 46 14
  • 17. Hydration Energy NaCl(s) → Na+(g) + Cl-(g) ΔHlattice > 0 Na+(g) + xs H2O(l) → Na+(aq) ΔHhydration < 0 Cl-(g) + xs H2O(l) → Cl-(aq) ΔHhydration < 0 ΔHsoln > 0 but ΔGsolution < 0 Prentice-Hall General Chemistry: ChapterSlide 17 of 46 14
  • 18. 14-4 Solution Formation and Equilibrium saturated Prentice-Hall General Chemistry: ChapterSlide 18 of 46 14
  • 19. Solubility Curves Supersaturated Unsaturated Prentice-Hall General Chemistry: ChapterSlide 19 of 46 14
  • 20. 14-5 Solubility of Gases • Most gases are less soluble in water as temperature increases. • In organic solvents the reverse is often true. Prentice-Hall General Chemistry: ChapterSlide 20 of 46 14
  • 21. Henry’s Law • Solubility of a gas increases C = k Pgas with increasing pressure. C 23.54 mL = 23.54 ml N2/atm k= = Pgas 1.00 atm C 100 mL Pgas = = = 4.25 atm k 23.54 ml N2/atm Prentice-Hall General Chemistry: ChapterSlide 21 of 46 14
  • 22. Henry’s Law Prentice-Hall General Chemistry: ChapterSlide 22 of 46 14
  • 23. 14-6 Vapor Pressures of Solutions • Roault, 1880s. – Dissolved solute lowers vapor pressure of solvent. – The partial pressure exerted by solvent vapor above an ideal solution is the product of the mole fraction of solvent in the solution and the vapor pressure of the pure solvent at a given temperature. PA = χA P°A Prentice-Hall General Chemistry: ChapterSlide 23 of 46 14
  • 24. Example 14-6 Predicting vapor pressure of ideal solutions. The vapor pressures of pure benzene and toluene at 25°C are 95.1 and 28.4 mm Hg, respectively. A solution is prepared in which the mole fractions of benzene and toluene are both 0.500. What are the partial pressures of the benzene and toluene above this solution? What is the total vapor pressure? Balanced Chemical Equation: Pbenzene = χbenzene P°benzene = (0.500)(96.1 mm Hg) = 47.6 mm Hg Ptoluene = χtoluene P°toluene = (0.500)(28.4 mm Hg) = 14.2 mm Hg Ptotal = Pbenzene + Ptoluene = 61.8 mm Hg Prentice-Hall General Chemistry: ChapterSlide 24 of 46 14
  • 25. Example 14-7 Calculating the Composition of Vapor in Equilibrium with a Liquid Solution. What is the composition of the vapor in equilibrium with the benzene-toluene solution? Partial pressure and mole fraction: χbenzene = Pbenzene/Ptotal = 47.6 mm Hg/61.89 mm Hg = 0.770 χtoluene = Ptoluene/Ptotal = 14.2 mm Hg/61.89 mm Hg = 0.230 Prentice-Hall General Chemistry: ChapterSlide 25 of 46 14
  • 26. Liquid-Vapor Equilibrium Prentice-Hall General Chemistry: ChapterSlide 26 of 46 14
  • 27. Fractional Distillation Prentice-Hall General Chemistry: ChapterSlide 27 of 46 14
  • 28. Fractional Distillation Prentice-Hall General Chemistry: ChapterSlide 28 of 46 14
  • 29. Non-ideal behavior Prentice-Hall General Chemistry: ChapterSlide 29 of 46 14
  • 30. 14-7 Osmotic Pressure Prentice-Hall General Chemistry: ChapterSlide 30 of 46 14
  • 31. Osmotic Pressure For dilute solutions of electrolytes: πV = nRT n π= RT = M RT V Prentice-Hall General Chemistry: ChapterSlide 31 of 46 14
  • 32. Osmotic Pressure Hypertonic > 0.92% m/V crenation Isotonic Saline 0.92% m/V Hypotonic > 0.92% m/V rupture Prentice-Hall General Chemistry: ChapterSlide 32 of 46 14
  • 33. Reverse Osmosis - Desalination Prentice-Hall General Chemistry: ChapterSlide 33 of 46 14
  • 34. 14-8 Freezing-Point Depression and Boiling Point Elevation of Nonelectrolyte Solutions • Vapor pressure is lowered when a solute is present. – This results in boiling point elevation. – Freezing point is also effected and is lowered. • Colligative properties. – Depends on the number of particles present. Prentice-Hall General Chemistry: ChapterSlide 34 of 46 14
  • 35. Vapor Pressure Lowering ΔTf = -Kf  m ΔTb = -Kb  m Prentice-Hall General Chemistry: ChapterSlide 35 of 46 14
  • 36. Practical Applications Prentice-Hall General Chemistry: ChapterSlide 36 of 46 14
  • 37. 14-9 Solutions of Electrolytes • Svante Arrhenius – Nobel Prize 1903. – Ions form when electrolytes dissolve in solution. – Explained anomalous colligative properties Compare 0.0100 m aqueous urea to 0.0100 m NaCl (aq) ΔTf = -Kf  m = -1.86°C m-1  0.0100 m = -0.0186°C Freezing point depression for NaCl is -0.0361°C. Prentice-Hall General Chemistry: ChapterSlide 37 of 46 14
  • 38. van’t Hoff measured ΔTf 0.0361°C i= = = 1.98 expected ΔTf 0.0186°C π = -i  M  RT ΔTf = -i  Kf  m ΔTb = -i  Kb  m Prentice-Hall General Chemistry: ChapterSlide 38 of 46 14
  • 39. Interionic Interactions • Arrhenius theory does not correctly predict the conductivity of concentrated electrolytes. Prentice-Hall General Chemistry: ChapterSlide 39 of 46 14
  • 40. Debye and Hückel • 1923 – Ions in solution do not behave independently. – Each ion is surrounded by others of opposite charge. – Ion mobility is reduced by the drag of the ionic atmosphere. Prentice-Hall General Chemistry: ChapterSlide 40 of 46 14
  • 41. 14-10 Colloidal Mixtures Prentice-Hall General Chemistry: ChapterSlide 41 of 46 14
  • 42. Colloids • Particles of 1-1000 nm size. – Nanoparticles of various shapes: rods, discs, spheres. – Particles can remain suspended indefinitly. • Milk is colloidal. • Increasing ionic strength can cause precipitation. Prentice-Hall General Chemistry: ChapterSlide 42 of 46 14
  • 43. Dialysis Prentice-Hall General Chemistry: ChapterSlide 43 of 46 14
  • 44. Focus on Chromatography Stationary Phase silicon gum alumina silica Mobile Phase solvent gas Prentice-Hall General Chemistry: ChapterSlide 44 of 46 14
  • 45. Chromatography Prentice-Hall General Chemistry: ChapterSlide 45 of 46 14
  • 46. Chapter 14 Questions Develop problem solving skills and base your strategy not on solutions to specific problems but on understanding. Choose a variety of problems from the text as examples. Practice good techniques and get coaching from people who have been here before. Prentice-Hall General Chemistry: ChapterSlide 46 of 46 14

Hinweis der Redaktion

  1. Antifreeze must be added to water in coolant systems in cold climates to lower the freezing point. We will learn why. Dehydrated individuals must be rehydrated with a solution of the correct osmotic pressure. Emphasis in this chapter will be on describing solution phenomena and their appl,ications and explaining these phenomena at the molecular level.
  2. Lewis theory has shortcomings. It does not explain conduction or semiconductors. More sophisticated approaches are required. Hybridization. Molecular orbitals from atomic orbitals.
  3. Lewis theory has shortcomings. It does not explain conduction or semiconductors. More sophisticated approaches are required. Hybridization. Molecular orbitals from atomic orbitals.
  4. Liquid solutions are most common. Solid solutions – alloys
  5. Molality is independent of temperature and is proportional to mole fraction at low concentrations.
  6. Forces between unlike molecules exceed those between like molecules
  7. Acetone interacts with itself through dipole-dipole interactions. Acetone and CS 2 interact through dipole-induced dipole interactions, this is a weaker intermolecular interaction.
  8. Discuss recrystallization Solubility as a function of temperature.
  9. Dissolved air is realeased as water is heated, even well below the boiling point of water.
  10. The vapor phase is richer in the more volatile component.
  11. For example chloroform-carbon disulfide mixtures have lower vapor pressure than predicted. Non-ideal behavior.
  12. Semipermeable membrane Water flows from the low concentration of solute side to the high side to reduce the solute concentration. This causes osmotic pressure. It does not depend on the solute, but depends on the number of particles of solute. This is a COLLIGATIVE property.
  13. m is solute molality
  14. Ethylene glycol and CaCl 2 or NaCl