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Properties of Solutions
Chapter 11
Solutions
                               State of   State of   State of
 Example                       Solution   Solute     Solvent
 Air, natural gas              Gas        Gas        Gas

 Rubbing alcohol, antifreeze   Liquid     Liquid     Liquid
 Brass                         Solid      Solid      Solid
 Carbonated water (soda)       Liquid     Gas        Liquid
 Seawater, sugar solution      Liquid     Solid      Liquid

 Hydrogen in platinum          Solid      Gas        Solid
Components of Solution
 Relationships Between Amounts of Solute, Solvent and Solution




                   Molar Mass




                                          Density
nsolute                  msolute                       Vsolute




            Molar Mass




                                             Density
nsolvent                 msolvent                      Vsolvent

nsoln                    msoln                         Vsoln
                               molessolute
           Molarity (M )
                           volum esolutionin L
nsolute                     msolute                             Vsolute




           Molar Mass




                                                      Density
nsolvent                   msolvent                             Vsolvent

nsoln                       msoln                               Vsoln

                                         m oles solute
                        Molality (m)
                                       m ass solvent(kg)
nsolute                         msolute                       Vsolute




                   Molar Mass




                                                    Density
nsolvent                        msolvent                      Vsolvent

nsoln                           msoln                         Vsoln

                        m ass A                   m ass A
    m ass % A                           100                      100
                m ass A m ass B m ass C     total m ass solution
nsolute                           msolute                            Vsolute




                 Molar Mass




                                                           Density
nsolvent                        msolvent                             Vsolvent

nsoln                            msoln                               Vsoln

                                 m oles A                m oles A
    Mole fraction A
                              m oles solution   m oles A m oles B m olesC
1.   Separating the solute into its individual components
     (expanding the solute).
2.   Overcoming intermolecular forces in the solvent to
     make room for the solute (expanding the solvent).
3.   Allowing the solute and solvent to interact to form the
     solution.
Steps 1 and 2 require energy, since forces must be
    overcome to expand the solute and solvent.
Step 3 usually releases energy.
Steps 1 and 2 are endothermic, and step 3 is often
    exothermic.
Explain why water and oil (a long chain hydrocarbon) do not
mix. In your explanation, be sure to address how ΔH plays a
role.
Energy Terms of Various Types
of Solutes and Solvent
                          H1      H2      H3         Hsoln     Outcome

Polar solute, polar      Large   Large   Large,     Small      Solution
solvent                                  negative              forms



Nonpolar solute, polar   Small   Large   Small      Large,     No solution
solvent                                             positive   forms



Nonpolar solute,         Small   Small   Small      Small      Solution
nonpolar solvent                                               forms



Polar solute, nonpolar   Large   Small   Small      Large,     No solution
solvent                                             positive   forms
In General

One factor that favors a process is an
   increase in probability of the state
   when the solute and solvent are mixed.
Processes that require large amounts of
   energy tend not to occur.
Overall, remember that “like dissolves
   like”.
Factors Affecting Solubility

Structural Effects:
    Polarity
Pressure Effects:
    Henry’s law
Temperature Effects:
    Affecting aqueous solutions
Polarity Effects


      Ascorbic acid




           Detergent
Henry’s law:               C = kP
         C        =        concentration of dissolved
    gas
         k        =       constant
         P        =       partial pressure of gas solute
                                    above the solution
Amount of gas dissolved in a solution is directly
   proportional to the pressure of the gas above the
   solution.
Temperature Effects (for
Aqueous Solutions)
•   Although the solubility of most solids in water
    increases with temperature, the solubilities of
    some substances decrease with increasing
    temperature.

•   Predicting temperature dependence of
    solubility is very difficult

•   Solubility of a gas in solvent typically
    decreases with increasing temperature.
Temperature Dependence of
Solubility of Solids in Aqueous
Solutions
Temperature Dependence of
Solubility of Gases in Aqueous
Solutions
Temperature Dependence of
Solubility in Aqueous Solutions




   Although the solubility of most solids in water increases
    with temperature, the solubilities of some substances
    decrease with increasing temperature.
   Predicting temperature dependence of solubility is very
    difficult.
   Solubility of a gas in solvent typically decreases with
    increasing temperature.
Colligative Properties
 Properties that depend ONLY on the
 number and NOT in the nature of solute
 particles.

 Vapor Pressure Lowering
 Boiling Point Elevation
 Freezing Point Elevation
 Osmotic Pressure
Equilibrium Vapor Pressure
 • The pressure of the vapor due to the evaporation of the
   liquid (solid) above the same liquid (or solid) in a closed
   container.
 • The rate of evaporation is equal to the rate of
   condensation
 • Is it affected by
      • Strength of intermolecular forces in the liquid?
           • The stronger the IMFA, the lower the VP
           • The weaker the IMFA, the higher the VP
      • Temperature?
           • Higher temperature increases energy to
              overcome IMFA, higher VP
      • Surface area of the container?
           • VP is force/area
           • The greater the surface area, more molecules
              evaporate, the force increases proportionally
           • No effect
Vapor Pressure Lowering



            + Non
   Pure
            Volatile   Solution
  Solvent
            Solute
Vapor Pressure Lowering




 • Evaporation occurs at the surface at any temperature
 • Some of the non-volatile solute particles take the place
   of the solvent particles at the surface
 • Non-volatile solute particles increase the intermolecular
   forces of attraction between solute and solvent
 • Decreases the number of solvent particles evaporating
 • Lower Vapor pressure for the solution
Raoult’s Law

• As the mole fraction of
  the solvent increases,
  the vapor pressure of the
  solution approaches that
  of the pure solvent.
• Dilute solutions have
  properties closer to the
  solvent
Raoult’s Law




  • Nonvolatile solute   • Volatile solute
  • Volatile solvent     • Volatile solvent
                         • No need to indicate
                           solvent/solute
Ideal vs. Non-ideal Solutions




                             •   Does not follow        •   Does not follow
                                 Raoult’s Law               Raoult’s Law
•   Follows Raoult’s Law
                             •   Weak solute-solvent    •   Strong solute-solvent
•   Non-polar/non-polar
                                 interactions               interactions
•   Similar shape and size
                             •   Both want to stay in   •   Both want to stay in
                                 the vapor phase            the liquid phase
                             •   Predicted Ptotal is    •   Predicted Ptotal is lower
                                 higher                 •   Negatively deviating
                             •   Positively Deviating   •   Predominantly polar
                             •   Predominantly non-         interactions
                                 polar interactions
benzene   toluene




acetone      water




ethanol          hexane
Summary of Solute-Solvent
Interactions in Solution
                                                     Deviation
  Interactive Forces                        T for
                                                       from
Between Solute (A) and        Hsoln       Solution                 Example
                                                     Raoult’s
 Solvent (B) Particles                   Formation
                                                       Law

                                                       None
                                                                   Benzene-
A   A, B    B A      B       Zero          Zero        (ideal
                                                                    toluene
                                                     solution)


                           Negative
A   A, B    B<A      B                    Positive   Negative    Acetone-water
                         (exothermic)



                            Positive                               Ethanol-
A   A, B    B>A      B                   Negative    Positive
                         (endothermic)                              hexane
Boiling Point
   It is the temperature when the vapor pressure of
    the liquid is equal to the prevailing atmospheric
    pressure
   Is it affected by
    ◦ IMFA in liquid?
       Stronger IMFA, required more energy to increase VP, higher
        BP
    ◦ Prevailing atmospheric pressure?
       Higher atmospheric pressure, higher BP
    ◦ Ground elevation?
       Higher ground elevation, lower atmospheric pressure, lower BP
    ◦ Prevailing temperature?
       Substance must reach a certain temperature before it boils
       Depends on the three previous factors
Boiling Point Elevation



                 + Non Volatile
 Pure Solvent   /Nonelectrolyte   Solution
                    Solute
Boiling Point Elevation
   Nonvolatile solute elevates the boiling point of the
    solvent.
   ΔTb = Kbmsolute
        ΔTb           = boiling-point elevation
        Kb            = molal boiling-point elevation
    constant
        m             = molality Boiling
                 Solvent
                            Normal of solution   o
                                           K , C/m
                                             b
                                 Point, oC
                 Water            100.0      0.512
         Acetic acid (CH3COOH)    118.9          3.1
             Benzene (C6H6)        80.1       2.53
            Chloroform (CHCl3)     61.2       3.63
Freezing Point Depression
 When a solute is dissolved in a solvent, the freezing point
    of the solution is lower than that of the pure solvent.
         ΔTf       = Kfmsolute
         ΔTf       = freezing-point depression
         Kf        = molal freezing-point depression
    constant
         m         = molality of solute
                             Normal Freezing
      Solvent                                  Kf, oC/m
                             Point, oC
      Water                  0                 1.86

      Ethyl ether (C4H10O)   -116.2            1.79

      Benzene (C6H6)         5.5               5.12

      Chloroform (CHCl3)     -63.5             4.70
Changes in BP and FP
Osmotic Pressure
Osmosis – flow of solvent into the solution through a
           semipermeable membrane.
           =        MRT
            =       osmotic pressure (atm)
    M       =       molarity of the solution
    R       =       gas law constant
    T       =       temperature (Kelvin)
Reverse Osmosis
Colligative Properties of
     Electrolytes
    van’t Hoff Factor, i
    The relationship between the moles of
     solute dissolved and the moles of particles
     in solution is usually expressed as:


              moles of particles in solution
          i =
               moles of solute dissolved
Colligative Properties of
Electrolytes
     Electrolyte    i, (expected)   i, (observed)
        NaCl                            1.9

       MgCl2                            2.7

      MgSO4                             1.3
               i
       FeCl3                            3.4

        HCl                             1.9

     Glucose*                           1.0



                   Tb     iK b m
                   Tf     iK f m
                           iMRT
Ion Pairing
  At a given instant a
  small percentage of
  the sodium and
  chloride ions are
  paired and thus count
• as a pairing is most important in concentrated solutions.
    Ion single particle.
•   As the solution becomes more dilute, the ions are farther
    apart and less ion pairing occurs.
•   Ion pairing occurs to some extent in all electrolyte solutions.
•   Ion pairing is most important for highly charged ions.
Colloids
•   A suspension of tiny particles in some medium.
•   Tyndall effect – scattering of light by particles.
•   Suspended particles are single large molecules or aggregates
    of molecules or ions ranging in size from 1 to 1000 nm.
Colloids

Coagulation
   Destruction of a colloid.
   Usually accomplished either by heating or
    by adding an electrolyte.

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Chapter 11 Properties of Solutions

  • 2. Solutions State of State of State of Example Solution Solute Solvent Air, natural gas Gas Gas Gas Rubbing alcohol, antifreeze Liquid Liquid Liquid Brass Solid Solid Solid Carbonated water (soda) Liquid Gas Liquid Seawater, sugar solution Liquid Solid Liquid Hydrogen in platinum Solid Gas Solid
  • 3. Components of Solution Relationships Between Amounts of Solute, Solvent and Solution Molar Mass Density
  • 4. nsolute msolute Vsolute Molar Mass Density nsolvent msolvent Vsolvent nsoln msoln Vsoln molessolute Molarity (M ) volum esolutionin L
  • 5. nsolute msolute Vsolute Molar Mass Density nsolvent msolvent Vsolvent nsoln msoln Vsoln m oles solute Molality (m) m ass solvent(kg)
  • 6. nsolute msolute Vsolute Molar Mass Density nsolvent msolvent Vsolvent nsoln msoln Vsoln m ass A m ass A m ass % A 100 100 m ass A m ass B m ass C total m ass solution
  • 7. nsolute msolute Vsolute Molar Mass Density nsolvent msolvent Vsolvent nsoln msoln Vsoln m oles A m oles A Mole fraction A m oles solution m oles A m oles B m olesC
  • 8. 1. Separating the solute into its individual components (expanding the solute). 2. Overcoming intermolecular forces in the solvent to make room for the solute (expanding the solvent). 3. Allowing the solute and solvent to interact to form the solution.
  • 9. Steps 1 and 2 require energy, since forces must be overcome to expand the solute and solvent. Step 3 usually releases energy. Steps 1 and 2 are endothermic, and step 3 is often exothermic.
  • 10. Explain why water and oil (a long chain hydrocarbon) do not mix. In your explanation, be sure to address how ΔH plays a role.
  • 11. Energy Terms of Various Types of Solutes and Solvent H1 H2 H3 Hsoln Outcome Polar solute, polar Large Large Large, Small Solution solvent negative forms Nonpolar solute, polar Small Large Small Large, No solution solvent positive forms Nonpolar solute, Small Small Small Small Solution nonpolar solvent forms Polar solute, nonpolar Large Small Small Large, No solution solvent positive forms
  • 12. In General One factor that favors a process is an increase in probability of the state when the solute and solvent are mixed. Processes that require large amounts of energy tend not to occur. Overall, remember that “like dissolves like”.
  • 13. Factors Affecting Solubility Structural Effects:  Polarity Pressure Effects:  Henry’s law Temperature Effects:  Affecting aqueous solutions
  • 14. Polarity Effects Ascorbic acid Detergent
  • 15. Henry’s law: C = kP C = concentration of dissolved gas k = constant P = partial pressure of gas solute above the solution Amount of gas dissolved in a solution is directly proportional to the pressure of the gas above the solution.
  • 16. Temperature Effects (for Aqueous Solutions) • Although the solubility of most solids in water increases with temperature, the solubilities of some substances decrease with increasing temperature. • Predicting temperature dependence of solubility is very difficult • Solubility of a gas in solvent typically decreases with increasing temperature.
  • 17. Temperature Dependence of Solubility of Solids in Aqueous Solutions
  • 18. Temperature Dependence of Solubility of Gases in Aqueous Solutions
  • 19. Temperature Dependence of Solubility in Aqueous Solutions  Although the solubility of most solids in water increases with temperature, the solubilities of some substances decrease with increasing temperature.  Predicting temperature dependence of solubility is very difficult.  Solubility of a gas in solvent typically decreases with increasing temperature.
  • 20. Colligative Properties Properties that depend ONLY on the number and NOT in the nature of solute particles.  Vapor Pressure Lowering  Boiling Point Elevation  Freezing Point Elevation  Osmotic Pressure
  • 21. Equilibrium Vapor Pressure • The pressure of the vapor due to the evaporation of the liquid (solid) above the same liquid (or solid) in a closed container. • The rate of evaporation is equal to the rate of condensation • Is it affected by • Strength of intermolecular forces in the liquid? • The stronger the IMFA, the lower the VP • The weaker the IMFA, the higher the VP • Temperature? • Higher temperature increases energy to overcome IMFA, higher VP • Surface area of the container? • VP is force/area • The greater the surface area, more molecules evaporate, the force increases proportionally • No effect
  • 22. Vapor Pressure Lowering + Non Pure Volatile Solution Solvent Solute
  • 23. Vapor Pressure Lowering • Evaporation occurs at the surface at any temperature • Some of the non-volatile solute particles take the place of the solvent particles at the surface • Non-volatile solute particles increase the intermolecular forces of attraction between solute and solvent • Decreases the number of solvent particles evaporating • Lower Vapor pressure for the solution
  • 24. Raoult’s Law • As the mole fraction of the solvent increases, the vapor pressure of the solution approaches that of the pure solvent. • Dilute solutions have properties closer to the solvent
  • 25. Raoult’s Law • Nonvolatile solute • Volatile solute • Volatile solvent • Volatile solvent • No need to indicate solvent/solute
  • 26. Ideal vs. Non-ideal Solutions • Does not follow • Does not follow Raoult’s Law Raoult’s Law • Follows Raoult’s Law • Weak solute-solvent • Strong solute-solvent • Non-polar/non-polar interactions interactions • Similar shape and size • Both want to stay in • Both want to stay in the vapor phase the liquid phase • Predicted Ptotal is • Predicted Ptotal is lower higher • Negatively deviating • Positively Deviating • Predominantly polar • Predominantly non- interactions polar interactions
  • 27. benzene toluene acetone water ethanol hexane
  • 28. Summary of Solute-Solvent Interactions in Solution Deviation Interactive Forces T for from Between Solute (A) and Hsoln Solution Example Raoult’s Solvent (B) Particles Formation Law None Benzene- A A, B B A B Zero Zero (ideal toluene solution) Negative A A, B B<A B Positive Negative Acetone-water (exothermic) Positive Ethanol- A A, B B>A B Negative Positive (endothermic) hexane
  • 29. Boiling Point  It is the temperature when the vapor pressure of the liquid is equal to the prevailing atmospheric pressure  Is it affected by ◦ IMFA in liquid?  Stronger IMFA, required more energy to increase VP, higher BP ◦ Prevailing atmospheric pressure?  Higher atmospheric pressure, higher BP ◦ Ground elevation?  Higher ground elevation, lower atmospheric pressure, lower BP ◦ Prevailing temperature?  Substance must reach a certain temperature before it boils  Depends on the three previous factors
  • 30. Boiling Point Elevation + Non Volatile Pure Solvent /Nonelectrolyte Solution Solute
  • 31. Boiling Point Elevation  Nonvolatile solute elevates the boiling point of the solvent.  ΔTb = Kbmsolute ΔTb = boiling-point elevation Kb = molal boiling-point elevation constant m = molality Boiling Solvent Normal of solution o K , C/m b Point, oC Water 100.0 0.512 Acetic acid (CH3COOH) 118.9 3.1 Benzene (C6H6) 80.1 2.53 Chloroform (CHCl3) 61.2 3.63
  • 32. Freezing Point Depression When a solute is dissolved in a solvent, the freezing point of the solution is lower than that of the pure solvent. ΔTf = Kfmsolute ΔTf = freezing-point depression Kf = molal freezing-point depression constant m = molality of solute Normal Freezing Solvent Kf, oC/m Point, oC Water 0 1.86 Ethyl ether (C4H10O) -116.2 1.79 Benzene (C6H6) 5.5 5.12 Chloroform (CHCl3) -63.5 4.70
  • 33. Changes in BP and FP
  • 34. Osmotic Pressure Osmosis – flow of solvent into the solution through a semipermeable membrane. = MRT = osmotic pressure (atm) M = molarity of the solution R = gas law constant T = temperature (Kelvin)
  • 35.
  • 36.
  • 38. Colligative Properties of Electrolytes van’t Hoff Factor, i  The relationship between the moles of solute dissolved and the moles of particles in solution is usually expressed as: moles of particles in solution i = moles of solute dissolved
  • 39. Colligative Properties of Electrolytes Electrolyte i, (expected) i, (observed) NaCl 1.9 MgCl2 2.7 MgSO4 1.3 i FeCl3 3.4 HCl 1.9 Glucose* 1.0 Tb iK b m Tf iK f m iMRT
  • 40. Ion Pairing At a given instant a small percentage of the sodium and chloride ions are paired and thus count • as a pairing is most important in concentrated solutions. Ion single particle. • As the solution becomes more dilute, the ions are farther apart and less ion pairing occurs. • Ion pairing occurs to some extent in all electrolyte solutions. • Ion pairing is most important for highly charged ions.
  • 41. Colloids • A suspension of tiny particles in some medium. • Tyndall effect – scattering of light by particles. • Suspended particles are single large molecules or aggregates of molecules or ions ranging in size from 1 to 1000 nm.
  • 42. Colloids Coagulation  Destruction of a colloid.  Usually accomplished either by heating or by adding an electrolyte.