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The solution process

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Title: The solution process


1
Properties of Solutions
  • The solution process
  • To form a solution requires overcoming
    intermolecular interactions between solute
    molecules and solvent molecules so solute
    molecules and solvent molecules can be
    homogeneously distributed throughout the bulk of
    the solution.
  • The kinds of interactions to be overcome depend
    on the nature of the solutes and solvents.
  • Dissolving NaCl in H2O involves breaking ion-ion
    interactions in NaCl and the hydrogen bonds in
    H2O.
  • Interactions between Na and H2O and Cl- and
    water will be established to stablize the
    solution solvation occurs - hydration if H2O is
    solvent.

2
Properties of Solutions
Enthalpy changes accompanying solution
formation Exothermic heat of solution
Endothermic heat of solution
  • DHsolnDH1DH2DH3
  • DHsoln(NaOH)-44.48 kJ/mol
  • DHsoln(NH4NO3)26.4 kJ/mol

3
Properties of Solutions
  • Enthalpy changes accompanying solution formation
  • DH3 represents the enthalpy of interaction
    between solute particles and solvent particles.
  • Should DH3 be small in magnitude, the formation
    of the solution will be too endothermic to
    form.
  • This occurs when non-polar solvents interact with
    ionic or polar solutes.
  • Solution formation and increase in disorder
  • Generally, processes that are exothermic are
    spontaneous, but not all spontaneous processes
    are exothermic.
  • The formation of an aqueous solution of NH4NO3 is
    endothermic.
  • One factor that influences the spontaneity of
    processes besides energy change is the degree of
    randomness created as the result of the process.
  • Forming an aqueous solution of NH4NO3 requires
    breaking up the order associated with the
    hydrogen bonded water molecules and the highly
    ordered lattice of NH4NO3.
  • The solution is more disordered than the unmixed
    components of the solution.
  • If the ordered pure solution components have
    strong interparticle attractive interactions it
    is possible that the disorder created by forming
    a solution will not compensate for these
    energetic interactions.

4
Properties of Solutions
  • Factors affecting solubility
  • Solute-solvent interactions
  • The solubility of gases in liquid solvents
    depends on the strength of London dispersion
    forces between gaseous solute and liquid solvent.
  • Solubilities of gases in H2O at 20 oC and 1 atm
    gas pressure
  • Polar liquids dissolve readily in polar solvents
    because of dipole-dipole attractive interactions
    between solute and solvent.
  • Many pairs of liquids are mutually soluble in all
    ratios they are miscible.
  • Acetone is miscible with
    water, whereas 2-pentanone
  • dissolves to
    the extent of 4.7 g/100 g water at 20 oC and is
    therefore not miscible with water.

5
Properties of Solutions
  • Factors affecting solubility
  • Solute-solvent interactions
  • Hydrogen bonding is important in determining the
    solubility of solutes in water.
  • The short chain alcohols are miscible with water
    but longer chain alcohols are not. For short
    chain alcohols, the hydrogen bonding between
    alcohol molecules is similar in strength to
    that in water
  • Nonpolar liquids dissolve readily in nonpolar
    solvents but not polar solvents.
  • The dipole-dipole attractive forces in the polar
    substance cannot be overcome by interactions
    between the nonpolar solvent and the polar
    solute.

6
Properties of Solutions
  • Factors affecting solubility
  • Pressure Effects and the solubility of gases
  • Henrys law the solubility of a gas in a liquid
    is proportional to the pressure of the gas above
    the liquid.
  • SgkPg where Sg is the solubility of
    the gas in the liquid
  • Pg is the pressure of the gas above
    the liquid
  • k is the Henrys law constant that
    depends on the liquid-gas pair and
    temperature.
  • Example if the pressure of CO2 above the water
    in carbonated water is 4.0 atm and the Henrys
    law constant for CO2 in water at 25 oC is 3.1 x
    10-3 mol/L-atm, what is the concentration of
    CO2 in water under these conditions?

7
Properties of Solutions
  • Factors affecting solubility
  • Temperature Effects
  • Gases decrease their solubilities with increasing
    temperature
  • The solution process for gases is exothermic
  • Gas liquid solvent saturated
    solution heat energy
  • DHsolutionlt0
  • If the temperature is increased, heat energy is
    added to the solution
  • The result is to shift the equilibrium to the
    left removing gas from the solution and reducing
    the gas concentration in the solution
  • LeChâteliers principle states if a stress is
    applied to a system at equilibrium, the system
    will respond to relieve the stress.
  • Most solids increase their solubilities in
    liquids as temperature increases because the
    solution phenomenon is endothermic. See Fig.
    14.9, p. 655.
  • solid solvent heat solution

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9
Properties of Solutions
  • Colligative Properties are properties of
    solutions that depend on the number of
    particles of solvent or solute present in a
    solution. Colligative properties thus depend on
    the concentration of solvent or solute present
    in a solution.
  • The vapor pressure of a solution containing a
    nonvolatile solute is less than the vapor
    pressure of the pure solvent,
  • The vapor pressure is a measure of the escaping
    tendency of liquid molecules.
  • The fraction of solvent molecules on the surface
    of a solution is lowered by the dissolved solute
    molecules. The escaping tendency is proportional
    to the mole fraction of volatile molecules at
    the surface of the liquid.
  • Raoults law gives the relationship between the
    vapor pressure of a volatile liquid containing
    a nonvolatile solute and the mole fraction of
    volatile liquid.
  • PAXAPAo where PA is the vapor pressure of the
    solution
  • XA is the mole fraction of solvent
  • Pao is the vapor pressure of pure
    solvent

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11
Properties of Solutions
  • Colligative Properties
  • Vapor Pressure
  • Example The vapor pressure of pure water at 110
    oC is 1070 torr. A solution of ethylene glycol
    and water has a vapor pressure of 1.00 atm at 110
    oC. What is the mole fraction of ethylene glycol
    in the solution?
  • Vapor pressure of a mixture of volatile liquids
  • Raoults law and Daltons law of partial
    pressures can be combined. For 2 volatile
    liquids A and B
  • PAXAPAo and PBXBPBo (Note XA XB 1)
  • PtotalPAPB XAPAo XBPBo (conditions for an
    ideal solution)
  • Example Pbenzeneo75 torr and Ptolueneo22 torr
    at 20 oC
  • if X0.500, Pbenzene(0.500)(75 torr)37.5
    torr and Ptol(0.500)(22)11.0 torr
  • Ptotal(37.511.0)torr48.5 torr
    Xbenz(vapor)37.5/48.5 0.773

12
Properties of Solutions
  • Colligative Properties
  • Boiling point elevation occurs as a result of
    lowering the vapor pressure of a liquid
    containing a nonvolatile solute.
  • In order to reach any vapor pressure the
    temperature of the solution must be higher than
    the temperature of the pure liquid. See Fig.
    14.13, p. 661.
  • In this Figure, the red line corresponds to the
    vapor pressure of pure benzene vs. temperature
    whereas the blue line is the vapor pressure of a
    2.0 m solution of a nonvolatile solute in
    benzene.
  • The increase in boiling temperature is
    proportional to the concentration of the solute
  • DtbpKbpm where Dtbp is the increase in the
    boiling temperature of the
    solvent
  • Kbp is the boiling point elevation
    constant for the solvent.
  • m is the molality of solute in the
    solution.

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14
Properties of Solutions
  • Freezing point depression also results from a
    lowering of the vapor pressure of a liquid
    containing a nonvolatile solute.
  • The decrease in freezing temperature is
    proportional to the concentration of solute
  • DtfpKfpm where Dtfp is the decrease in the
    boiling temperature of solvent
  • Kfp is the freezing point depression constant
    for the solvent.
  • m is the molality of the solute in the
    solution.
  • Calculating molar masses from colligative
    properties

Change in vapor pressure, boiling point
elevation, or freezing point depression or
osmotic pressure
Solution concentration
Use mass of solvent
Molar mass
Moles of solute
15
Properties of Solutions
  • Calculating molar masses from colligative
    properties
  • Example 0.640 g azulene (empirical formula C5H4)
    is dissolved in 99.0 g benzene. The boiling
    point of the solution is 80.23 oC. What is the
    molecular formula of azulene?

16
Properties of Solutions
  • Colligative Properties
  • Freezing point depression
  • For solutions of ionic compounds, the molality
    will be an integer multiple of the compounds
    molality.
  • For NaCl, there are 2 moles of particles per mole
    NaCl, so a 1 molal solution of NaCl is 2 molal
    in particles
  • For CaCl2, there are 3 moles of particles per
    mole CaCl2, so a 1 molal solution of CaCl2 is 3
    molal in particles
  • The expected effect on freezing temperature and
    boiling temperature for a 1 molal solution of
    NaCl or CaCl2will be 2 or 3 times that of a 1
    molal solution of a nondissociating solid.
  • A 1.00 m solution of NaCl should freeze at
    2x(-1.86) oC.
  • Experimentally it is found that the freezing
    point of solutions of ionic solids is not quite
    as low as predicted.
  • This results because ion pairs are formed in
    solution because of ion-ion interactions,
    reducing the expected molality of the solute.

17
Properties of Solutions
  • Colligative Properties
  • Freezing point depression
  • The vant Hoff factor, i, is a measure of the
    dissociation of an ionic compound

Vant Hoff factors for several substances at 25
oC
18
Properties of Solutions
  • Colligative Properties
  • Osmosis is the transport of solvent molecules
    through a semipermiable membrane from a
    solution of high solvent concentration to a
    solution of lower solvent concentration.
  • Solvent molecules move from the solution of lower
    solute concentration to the solution of higher
    solute concentration in an attempt to dilute the
    solution with higher solute concentration.
  • Osmosis will cease when the pressure resulting
    from transport of solvent to the solution of
    higher solute concentration prevents further
    transport of solvent through the membrane.
  • The osmotic pressure, ?, is related to the
    concentration of the solution, and the absolute
    temperature
  • This is analogous to the ideal gas law, where P?
    and n/Vc

where c is the molarity of the solution
  • Isotonic solutions have the same osmotic
    pressure.
  • A hypotonic solution has lower osmotic pressure
    than another solution.
  • A hypertonic solution has higher osmotic pressure
    than another solution.

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20
Properties of Solutions
  • Colligative Properties
  • Osmosis
  • Example Lysozyme is an enyme tha breaks
    bacterial cell walls. A solution containing
    0.150 g in 210 mL of solution has an osmotic
    pressure of 0.953 torr at 25 oC. What is the
    molecular weight of of lysozyme?

21
Properties of Solutions
Colloids are suspensions of particles that have a
size between approximately 10 Å and 2,000Å
dispersed in another medium.
  • Colloidal particles can be made up of an
    agglomeration of many small particles or
    molecules or could be a single, large molecule.

22
Properties of Solutions
  • Colloids
  • Hydrophilic colloids are stabilized as a result
    of having polar or ionic groups on their
    surfaces which are water loving.
  • The strong attractive interactions with water
    keeps the large particles in suspension.
  • Hydrophobic colloids are stabilized by adsorption
    of ions on the particle surfaces.
  • Adsorption is the binding of a substance to the
    surface of bulk matter.
  • The adsorbed ions interact with water to keep the
    particles suspended.
  • The charges on the surfaces of different
    particles are of the same sign which keeps them
    apart and prevents agglomerating and
    precipitating.
  • Soaps and detergents consist of a long
    hydrophobic tail and a hydrophilic end.
  • The hydrophobic tail inserts into oil or other
    hydrophobic materials and causes the particles
    to be suspended in water as the hydrophilic end
    will be on the outside of the particle

-

23
Properties of Solutions
  • Colloids
  • Soaps and detergents behave as emulsifying agents
    causing oils to be suspended in aqueous
    dispersing medium.
  • Removal of colloidal particles from suspension
  • Colloidal particles in dispersed in liquids
    stabilized by adsorption of ions can be
    coagulated by adding an inert electrolyte - HNO3
    - and heating the suspension.
  • Solid particles suspended in air can be
    precipitated by producing a surface charge on
    the particles and attracting them to an
    oppositely charged electrode.

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