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Solutions and Molarity
Describe the types of solutions.
Define the vocabulary words.
List and explain the factors that influence
solubility and the rate at which a solute
dissolves in a solvent.
Explain and calculate molarity.
Types of Solutions
 Gas in a gas – Gases mix freely and will always form a
   solution unless they react (Example: air)
 Solid in a solid – Alloy: a homogeneous mixture of metals
   (Example: brass is a mixture of copper and zinc)
 Liquid in a liquid
  Miscible – when liquids can be mixed together to form a
   solution (Example: ethylene glycol and water form
   antifreeze)
  Immiscible – when liquids cannot be mixed (Example: oil
   and water)

  “Like dissolves like” – polar dissolves polar
  Polar and nonpolar (vinegar and oil) are immiscible
 Solid in a liquid
  Energy is required to separate particles
  of a solid (Endothermic)
  Energy is released when solute particles
  and solvent particles are attached
  (Exothermic)
  Goes back and forth: Dynamic
  equilibrium
  Differences are responsible for different
  solubilities
 Gases in liquids – when gas is attracted
  to solvent particles---release energy
 Free---move toward entropy
 Examples: CO2 in soda and O2 in
  seawater
 Entropy (S) – disorder or randomness
   Systems tend to go from a state of order
  (low entropy) to a state of maximum
  disorder (high entropy)
Solubility Curve

Solubility - quantity of solute that
will dissolve in a specific amount of
solvent at a certain temperature.
(pressure must also be specified for
gases).
  -soluble vs. insoluble,
  -saturated (on or above) vs.
  unsaturated (below)
 - solubility should NOT be confused
 with the rate at which a substance
 dissolves
 Reading the curve:
 At 30°C approximately 10g of
 KClO3 will dissolve in 100g of
 water
Refer to Solubility Curves

 At 10 °C, 135 grams of KI will dissolve
 At 50 °C, 85 grams of KNO3 will dissolve
 At 30 °C, 42 grams of NH4Cl will dissolve
 At 75 °C, 50 grams of KCl will dissolve
Factors Influencing the Rate at
   which a Solute Dissolves in a
              Solvent
 1. Agitation – stirring; a surface
  phenomenon
 2. Particle size
 3. Temperature – the only factor that
  affects both the rate of solution and the
  solubility
 Solid in a liquid
  Energy is required to separate particles
  of a solid (Endothermic)
  Energy is released when solute particles
  and solvent particles are attached
  (Exothermic)
  Goes back and forth: Dynamic
  equilibrium
  Differences are responsible for different
  solubilities
 Gases in liquids – when gas is attracted
  to solvent particles---release energy
 Free---move toward entropy
 Examples: CO2 in soda and O2 in
  seawater
 Entropy (S) – disorder or randomness
   Systems tend to go from a state of order
  (low entropy) to a state of maximum
  disorder (high entropy)
Temperature Effects on
Solubility

 In general, an increase in temperature
  increases the solubility of solids in liquids
 In general, an increase in temperature
  decreases the solubility of gases in
  liquids (gases escape)
Pressure Effects
       Pressure increases the solubility of gases
        in liquids (nail being hammered into wood)
       Henry’s Law – At a given temperature, the
        solubility of a gas in a liquid is directly
        proportional to the pressure of the gas
        above the liquid (Page 506)


S = solubility     S1   S2
                      =
P = pressure       P1   P2
Concentration of Solutions
 Dilute – contains relatively little solute
 Concentrated – contains relatively large
  amount of solute
Vocabulary Words
 Solubility: the amount of a substance that
  dissolves in a given quantity of solvent at
  specified conditions of temperature and
  pressure to produce a saturated solution

 Solute: dissolving particles


 Solvent: the dissolving medium in a
  solution (Example- water)
 Saturated – a solution that holds as
  much solid as it normally can at a given
  temperature (If more solid is added, it
  will not dissolve)
 Unsaturated – a solution which has not
  yet reached the limit of solubility at a
  given temperature
 Supersaturated – rare solution that
  contains MORE dissolved solute than it
  can normally hold at a given temperature
   (Crystallization)
 Suspension: if the particles are
                so large that they settle out
                unless the mixture is constantly
                stirred or agitated.
suspension


               Colloid: particles that are
                intermediate in size between
                those in solutions and
                suspensions. AKA- colloidal
                suspensions

    colloid
Molarity
 The number of moles of solute dissolved per
  liter (1000mL) of solution
 Water: 1 mL = 1 g; 1000 mL = 1 Kg

                      mol of solute
  molarity (M) =
                 liters/Kg of solution
 Moles of solute = liters of solution x molarity
 Problem: What is the molarity of the solution
  obtained by dissolving 90g of glucose (C6H12O6)
  in 1000 grams of water?
 Answer
 1 mole of glucose = 180 g
 90g ÷ 180 g = .5 mole
 1000 g = 1000 mL
 .5M per 1000 mL water
 Problems: How many grams are needed
 to make a molar solution of
 a. 1M glucose
 b. 2M glucose
 c. .5M glucose
Answer

 1 mole of glucose = 180 grams
 a. 1M = 180 grams
 b. 2M = 2 x 180 g = 360 grams
 c. .5M = .5 x 180 g = 90 grams
Preparing Molar Solutions
 The solute will take up some of the available
  space in the volumetric flask.
 Steps
  1. The solute should be added to some of the
  solvent and dissolved.
  2. Then solvent is added to the 1L mark on the
  volumetric flask.
 If these steps are not followed, the total volume
  of the mixture is likely to exceed the desired
  volume.
 A volumetric pipet measures volumes even
  more accurately.
Making Dilutions

 Dilution reduces the moles of solute per unit
  volume, however, the total moles of solute in
  solution does not change.
 Moles of solute = molarity (M) x liters of solution
  (V)
 Moles of solute = M1 x V1 = M2 x V2
 Problem: How many milliliters of a stock
  solution of 2.00M MgSO4 would you need to
  prepare 100.0 mL of 0.400 M MgSO4?
Answer

 0.400M x 100.0 mL ÷ 2.00M = 20.0 mL
 Thus, 20.0 mL of the initial solution must
  be diluted by adding enough water to
  raise the volume to 100.0 mL
 OR
 0.400M is 1/5th of 2.00M
 1/5th of 100mL is 20 mL
Percent Solutions

 If both the solute and solvent are liquids,
  a convenient way to make a solution is
  to measure volumes.
   Example: 20 mL of pure alcohol is
  diluted with water to a total volume of
  100 mL – The concentration of alcohol is
  20% (v/v)
 A commonly used relationship for
  solutions of solids dissolved in liquids is
  percent (mass/volume).
Problems

 1. What is the percent by volume of
  ethanol (C2H6O), or ethyl alcohol, in the
  final solution when 85 mL of ethanol is
  diluted to a volume of 250 mL with
  water?
 2. How many grams of glucose
  (C6H12O6) would you need to prepare
 2.0 L of 2.8% glucose (m/v) solution?
Answers

 1. 85/250 x 100% = 34% ethanol (v/v)
 2. In a 2.8% solution, each 100 mL of
  solution contains 2.8 grams of glucose
     100mL is 1/10th of a liter, so you need
  28 grams per liter
      2 L x 28 g = 56 grams of glucose

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Chapter 12 solutions and molarity

  • 1. Solutions and Molarity Describe the types of solutions. Define the vocabulary words. List and explain the factors that influence solubility and the rate at which a solute dissolves in a solvent. Explain and calculate molarity.
  • 2. Types of Solutions  Gas in a gas – Gases mix freely and will always form a solution unless they react (Example: air)  Solid in a solid – Alloy: a homogeneous mixture of metals (Example: brass is a mixture of copper and zinc)  Liquid in a liquid Miscible – when liquids can be mixed together to form a solution (Example: ethylene glycol and water form antifreeze) Immiscible – when liquids cannot be mixed (Example: oil and water) “Like dissolves like” – polar dissolves polar Polar and nonpolar (vinegar and oil) are immiscible
  • 3.  Solid in a liquid Energy is required to separate particles of a solid (Endothermic) Energy is released when solute particles and solvent particles are attached (Exothermic) Goes back and forth: Dynamic equilibrium Differences are responsible for different solubilities
  • 4.  Gases in liquids – when gas is attracted to solvent particles---release energy Free---move toward entropy Examples: CO2 in soda and O2 in seawater  Entropy (S) – disorder or randomness Systems tend to go from a state of order (low entropy) to a state of maximum disorder (high entropy)
  • 5. Solubility Curve Solubility - quantity of solute that will dissolve in a specific amount of solvent at a certain temperature. (pressure must also be specified for gases). -soluble vs. insoluble, -saturated (on or above) vs. unsaturated (below) - solubility should NOT be confused with the rate at which a substance dissolves Reading the curve: At 30°C approximately 10g of KClO3 will dissolve in 100g of water
  • 6. Refer to Solubility Curves  At 10 °C, 135 grams of KI will dissolve  At 50 °C, 85 grams of KNO3 will dissolve  At 30 °C, 42 grams of NH4Cl will dissolve  At 75 °C, 50 grams of KCl will dissolve
  • 7. Factors Influencing the Rate at which a Solute Dissolves in a Solvent  1. Agitation – stirring; a surface phenomenon  2. Particle size  3. Temperature – the only factor that affects both the rate of solution and the solubility
  • 8.  Solid in a liquid Energy is required to separate particles of a solid (Endothermic) Energy is released when solute particles and solvent particles are attached (Exothermic) Goes back and forth: Dynamic equilibrium Differences are responsible for different solubilities
  • 9.  Gases in liquids – when gas is attracted to solvent particles---release energy Free---move toward entropy Examples: CO2 in soda and O2 in seawater  Entropy (S) – disorder or randomness Systems tend to go from a state of order (low entropy) to a state of maximum disorder (high entropy)
  • 10. Temperature Effects on Solubility  In general, an increase in temperature increases the solubility of solids in liquids  In general, an increase in temperature decreases the solubility of gases in liquids (gases escape)
  • 11. Pressure Effects  Pressure increases the solubility of gases in liquids (nail being hammered into wood)  Henry’s Law – At a given temperature, the solubility of a gas in a liquid is directly proportional to the pressure of the gas above the liquid (Page 506) S = solubility S1 S2 = P = pressure P1 P2
  • 12. Concentration of Solutions  Dilute – contains relatively little solute  Concentrated – contains relatively large amount of solute
  • 13. Vocabulary Words  Solubility: the amount of a substance that dissolves in a given quantity of solvent at specified conditions of temperature and pressure to produce a saturated solution  Solute: dissolving particles  Solvent: the dissolving medium in a solution (Example- water)
  • 14.  Saturated – a solution that holds as much solid as it normally can at a given temperature (If more solid is added, it will not dissolve)  Unsaturated – a solution which has not yet reached the limit of solubility at a given temperature  Supersaturated – rare solution that contains MORE dissolved solute than it can normally hold at a given temperature (Crystallization)
  • 15.  Suspension: if the particles are so large that they settle out unless the mixture is constantly stirred or agitated. suspension  Colloid: particles that are intermediate in size between those in solutions and suspensions. AKA- colloidal suspensions colloid
  • 16. Molarity  The number of moles of solute dissolved per liter (1000mL) of solution  Water: 1 mL = 1 g; 1000 mL = 1 Kg mol of solute molarity (M) = liters/Kg of solution  Moles of solute = liters of solution x molarity  Problem: What is the molarity of the solution obtained by dissolving 90g of glucose (C6H12O6) in 1000 grams of water?
  • 17.  Answer  1 mole of glucose = 180 g  90g ÷ 180 g = .5 mole  1000 g = 1000 mL  .5M per 1000 mL water  Problems: How many grams are needed to make a molar solution of a. 1M glucose b. 2M glucose c. .5M glucose
  • 18. Answer  1 mole of glucose = 180 grams  a. 1M = 180 grams  b. 2M = 2 x 180 g = 360 grams  c. .5M = .5 x 180 g = 90 grams
  • 19. Preparing Molar Solutions  The solute will take up some of the available space in the volumetric flask.  Steps 1. The solute should be added to some of the solvent and dissolved. 2. Then solvent is added to the 1L mark on the volumetric flask.  If these steps are not followed, the total volume of the mixture is likely to exceed the desired volume.  A volumetric pipet measures volumes even more accurately.
  • 20. Making Dilutions  Dilution reduces the moles of solute per unit volume, however, the total moles of solute in solution does not change.  Moles of solute = molarity (M) x liters of solution (V)  Moles of solute = M1 x V1 = M2 x V2  Problem: How many milliliters of a stock solution of 2.00M MgSO4 would you need to prepare 100.0 mL of 0.400 M MgSO4?
  • 21. Answer  0.400M x 100.0 mL ÷ 2.00M = 20.0 mL  Thus, 20.0 mL of the initial solution must be diluted by adding enough water to raise the volume to 100.0 mL  OR 0.400M is 1/5th of 2.00M 1/5th of 100mL is 20 mL
  • 22. Percent Solutions  If both the solute and solvent are liquids, a convenient way to make a solution is to measure volumes. Example: 20 mL of pure alcohol is diluted with water to a total volume of 100 mL – The concentration of alcohol is 20% (v/v)  A commonly used relationship for solutions of solids dissolved in liquids is percent (mass/volume).
  • 23. Problems  1. What is the percent by volume of ethanol (C2H6O), or ethyl alcohol, in the final solution when 85 mL of ethanol is diluted to a volume of 250 mL with water?  2. How many grams of glucose (C6H12O6) would you need to prepare 2.0 L of 2.8% glucose (m/v) solution?
  • 24. Answers  1. 85/250 x 100% = 34% ethanol (v/v)  2. In a 2.8% solution, each 100 mL of solution contains 2.8 grams of glucose 100mL is 1/10th of a liter, so you need 28 grams per liter 2 L x 28 g = 56 grams of glucose