PROPERTIES OF SOLUTIONS Solution Process A solution is a homogeneous mixture of solute and solvent Solutions may be gases, liquids or solids Solvent is the component present in the largest quantity Solutes are the other components Consider NaCl dissolving in water o Water molecules orient themselves on NaCl crystals o H-bonds between water molecules have to be broken o NaCl dissociates into Na+ and Clo Ion-dipole forces form between Na+ and the negative end of the water dipole o Similar forces form between CL- and the positive end o This interaction is called solvation Energy Changes 3 steps involving energy in solvation o Separation of solute molecules ( H1 ) o Separation of solvent molecules ( H2 ) o Formation of solute-solvent interactions (H3 ) o Enthalpy change for the solution process is the sum of all three Solution enthalpy can be positive or negative depending on the intermolecular forces o Breaking intermolecular forces is always endothermic(separation of solute and solvent)H is positive o Forming intermolecular forces is always exothermicH is negative o Magnesium sulfate added to water has a H= 91.2kJ/mol o Ammonium Nitrate added to water has a H= +26.4kJ/mol Predicting o If H is negative a solution forms o If H is to positive a solution will not form Saturated solutions o If crystallization and dissolution are in equilibrium with undissolved solute present, the solution is saturated o Solubility is the amount of solute required to form a saturated solution Factors affecting solubility Nature of the solute Nature of the solvent Temperature Pressure Solute-Solvent interactions Liquids that mix are miscible Intermolecular forces dictate solubility o Polar dissolves polar o Favorable dipole/dipole forces Consider alcohol in water o Water and ethanol are miscible. Not all alcohols are o The longer the Carbon chain the lower the solubility o More OH groups increase solubility o Polarity determines solubility o Network solids do not dissolve due strong inter molecular forces Pressure Effects Solubility of a gas in a liquid is a function of pressure Solubilities of liquids and solids are not affected by pressure The solubility of a gas is directly proportional to the partial pressure of the gas above the solution Henry’s Law: Cg = k Pg where C is the solubility of the gas , P is the partial pressure and k is the Henry Law constant. The constant differs with each solute/solvent pair and temperature Application: Carbonated beverages are bottled under P>1 atm. As the bottle is opened P is decreased and the solubility of carbon dioxide decreases. Therefore, bubbles escape from the solution Temperature Effects As temperature increases solids become more soluble and gases become less soluble Mass Percentage Mass % of component= Mass of component in solution / total mass of solution X 100 Mole Fraction Mole fraction of component= moles of component / total moles of all components Molarity M = moles of solute / liters of solution. Molarity will change with temperature Molality m = moles of solute / kilograms of solvent convert between molarity and molality using density Colligative Properties Vapor Pressure lowering( Raoult’s Law) Boiling point elevation Freezing point depression Osmotic pressure Vapor Pressure Non-volatile solutes reduce the vapor pressure of the solvent Vapor pressure of a solution is equal to the mole fraction of the solvent times the vapor pressure of the pure solvent Boiling Point Elevation A nonvolatile solute lowers the vapor pressure of a solution At the normal boiling point of the pure solvent, the solution has a vapor pressure less than one atm. Therefore, a higher temperature is required to reach a vapor pressure of 1 atm The molal boiling-point-elevation constant, K , expresses how much T boiling changes with molality Tb = Kb m Freezing Point Depression When a solution freezes, crystals of pure solvent form first Solute molecules are usually not soluble in the solid phase of the solvent Therefore the triple point occurs at a lower temperature because of the decreased vapor pressure of the solution The freezing point is a vertical line from the triple point. The decrease is directly proportional to molality Tf = kf m Osmosis Semipermeable membranes permit the passage of some molecules Typically water moves through but not larger molecules or ions Osmosis is the net movement of a solvent from an area of low solute concentration to an area of high solute concentration. Osmotic pressure, , is the pressure required to prevent osmosis Osmotic pressure obeys a law similar to the ideal gas law. For n moles, V=volume, M=molarity, R= ideal gas constant and absolute temperature, T, : V= nRT then =(n/v)RT and then = MRT If 2 solutions have the same , they are isotonic Hypotonic solutions have a lower relative to a more concentrated solution Hypertonic solutions have a higher relative to a more dilute solution Colligative Properties of Electrolyte Solutions Colligative properties of solutions depend on the total concentration of particles in solution In a .10M solution of NaCl the total concentration of particles is .2 M The expected freezing point depression is .2 m x 1.86 C/m =.372 C. The actual depression is .348 C. Ions in solution form ion pairs ( the oppositely charged ions associate with each other for a short period) which reduces the number of independent particles The van’t Hoff factor (i) is a measure of the extent of dissociation of electrolytes in solution i = Tf (measured) / Tf (calculated for non-electrolyte