2006, prentice hall chapter 13 solutions. 2 tragedy in cameroon lake nyos lake in cameroon, west...
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2006, Prentice Hall
Chapter 13Solutions
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Tragedy in Cameroon• Lake Nyos
lake in Cameroon, West Africaon August 22, 1986, 1700 people
& 3000 cattle died
• Burped Carbon Dioxide CloudCO2 seeps in from underground
and dissolves in lake water to levels above normal saturation
though not toxic, CO2 is heavier than air – the people died from asphyxiation
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Tragedy in Cameroon:a Possible Solution
• scientist have studied Lake Nyos and similar lakes in the region to try and keep such a tragedy from reoccurring
• currently, they are trying to keep the CO2 levels in the lake water from reaching the very high supersaturation levels by pumping air into the water to agitate it
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Solution
• homogeneous mixturescomposition may vary from one sample to
anotherappears to be one substance, though really
contains multiple materials
• most homogeneous materials we encounter are actually solutionse.g. air and lake water
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Solutions• solute is the dissolved substance
seems to “disappear”“takes on the state” of the solvent
• solvent is the substance solute dissolves indoes not appear to change state
• when both solute and solvent have the same state, the solvent is the component present in the highest percentage
• solutions in which the solvent is water are called aqueous solutions
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BrassType Color % Cu % Zn Density
g/cm3
MP
°C
Tensile
Strength
psi
Uses
Gilding reddish 95 5 8.86 1066 50K pre-83 pennies,munitions, plaques
Commercial bronze 90 10 8.80 1043 61K door knobs,grillwork
Jewelry bronze 87.5 12.5 8.78 1035 66K costume jewelry
Red golden 85 15 8.75 1027 70K electrical sockets,fasteners & eyelets
Low deep yellow
80 20 8.67 999 74K musical instruments,clock dials
Cartridge yellow 70 30 8.47 954 76K car radiator cores
Common yellow 67 33 8.42 940 70K lamp fixtures,bead chain
Muntz metal yellow 60 40 8.39 904 70K nuts & bolts,brazing rods
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Common Types of Solution
Solution PhaseSolute Phase
Solvent Phase Example
gaseous solutions gas gas air (mostly N2 & O2)
liquid solutions
gas
liquid
solid
liquid
liquid
liquid
soda (CO2 in H2O)
vodka (C2H5OH in H2O)
seawater (NaCl in H2O)
solid solutions solid solid brass (Zn in Cu)
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Solubility• solutions that contain Hg and some other
metal are called amalgams• solutions that contain metal solutes and a
metal solvent are called alloys• when one substance (solute) dissolves in another
(solvent) it is said to be solublesalt is soluble in water, bromine is soluble in methylene chloride
• when one substance does not dissolve in another it is said to be insolubleoil is insoluble in water
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Will It Dissolve?• Chemist’s Rule of Thumb –
Like Dissolves Like• a chemical will dissolve in a
solvent if it has a similar structure to the solvent
• when the solvent and solute structures are similar, the solvent molecules will attract the solute particles at least as well as the solute particles to each other
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Classifying Solvents
Solvent Class
Structural
Feature
Water, H2O polar O-H
Ethyl Alcohol, C2H5OH polar O-H
Acetone, C3H6O polar C=O
Benzene, C6H6 nonpolar C-C & C-H
Hexane, C6H14 nonpolar C-C & C-H
Diethyl Ether, C4H10O nonpolar C-C, C-H &
C-O
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Will It Dissolve In Water?• ions are attracted to polar solvents
many ionic compounds dissolve in water
• polar molecules are attracted to polar solvents table sugar, ethyl alcohol and glucose all dissolve well in water
• nonpolar molecules are attracted to nonpolar solvents -carotene, (C40H56), is not water soluble; it dissolves in fatty
(nonpolar) tissues
• many molecules have both polar and nonpolar structures – whether they will dissolve in water depends on the kind, number and location of polar and nonpolar structural features in the molecule
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Salt Dissolving in Water
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Solvated Ions
When materials dissolve, the solvent molecules surround thesolvent particles due to the solvent’s attractions for the solute. The process is called solvation. Solvated ions are effectivelyisolated from each other.
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Solubility• there is usually a limit to the solubility of one
substance in anothergases are always soluble in each othertwo liquids that are mutually soluble are said to
be miscible alcohol and water are miscibleoil and water are immiscible
• the maximum amount of solute that can be dissolved in a given amount of solvent is called the solubility
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Descriptions of Solubility• saturated solutions have the maximum
amount of solute that will dissolve in that solvent at that temperature
• unsaturated solutions can dissolve more solute
• supersaturated solutions are holding more solute than they should be able to at that temperatureunstable
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Supersaturated Solution
A supersaturated solution has more dissolved solute thanthe solvent can hold. When disturbed, all the solute abovethe saturation level comes out of solution.
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Adding Solute to various Solutions
unsaturated
saturated
supersaturated
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Electrolytes• electrolytes are substances whose
aqueous solution is a conductor of electricity
• in strong electrolytes, all the electrolyte molecules are dissociated into ions
• in nonelectrolytes, none of the molecules are dissociated into ions
• in weak electrolytes, a small percentage of the molecules are dissociated into ions
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Solubility and Temperature• the solubility of the solute in the solvent depends on the
temperaturehigher temp = higher solubility of solid in liquidlower temp = higher solubility of gas in liquid
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Temperature
• The opposite is true of gases:Carbonated soft drinks
are more “bubbly” if stored in the refrigerator.
Warm lakes have less O2 dissolved in them than cool lakes.
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Solubility and Temperature
Warm soda pop fizzes more than cold soda pop because thesolubility of CO2 in water decreases as temperature increases.
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Solubility and Pressure• the solubility of gases in water depends on the
pressure of the gas
• higher pressure = higher solubility
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Solubility and Pressure
When soda pop is sealed, the CO2 is under pressure. Opening the container lowers the pressure, which decreasesthe solubility of CO2 and causes bubbles to form.
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Solution Concentrations
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Solution Concentration Descriptions
• dilute solutions have low solute concentrations
• concentrated solutions have high solute concentrations
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Concentrations – Quantitative Descriptions of Solutions
• Solutions have variable composition
• To describe a solution accurately, you need to describe the components and their relative amounts
• Concentration = amount of solute in a given amount of solutionOccasionally amount of solvent
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Mass Percent• parts of solute in every 100 parts
solution if a solution is 0.9% by mass, then there are
0.9 grams of solute in every 100 grams of solutionor 10 kg solute in every 100 kg solution
• since masses are additive, the mass of the solution is the sum of the masses of solute and solvent
Solution of Mass Solvent of Mass Solute of Mass
%100g Solution, of Mass
g Solute, of Mass Percent Mass
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Example:• Calculate the mass percent of a solution containing 27.5 g
of ethanol (C2H6O) and 175 mL of H2O.
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Using Concentrations asConversion Factors
• concentrations show the relationship between the amount of solute and the amount of solvent12% by mass sugar(aq) means 12 g sugar 100 g solution
• The concentration can then be used to convert the amount of solute into the amount of solution, or visa versa
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Example:
• A soft drink contains 11.5% sucrose (C12H22O11) by mass. What volume of soft drink in milliliters contains 85.2 g of sucrose? (assume the density is 1.00 g/mL)
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Preparing a Solution• need to know amount of solution and
concentration of solution• calculate the mass of solute needed
start with amount of solutionuse concentration as a conversion factor5% by mass solute 5 g solute 100 g solution
Example - How would you prepare 250.0 g of 5.00% by mass glucose solution (normal glucose)?
dissolve 12.5 g of glucose in enough water to total 250 g
glucose g 12.5 solution g 100
glucose g .005solution mL 0250 .
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Solution ConcentrationMolarity
• moles of solute per 1 liter of solution
• used because it describes how many molecules of solute in each liter of solution
• If a sugar solution concentration is 2.0 M , 1 liter of solution contains 2.0 moles of sugar, 2 liters = 4.0 moles sugar, 0.5 liters = 1.0 mole sugar
molarity = moles of soluteliters of solution
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Preparing a 1.00 M NaCl Solution
Weigh out1 mole (58.45 g)of NaCl and addit to a 1.00 Lvolumetric flask.
Step 1 Step 2
Add water todissolve theNaCl, thenadd water tothe mark.
Step 3
Swirl to Mix
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Example:• Calculate the molarity of a solution made by putting
15.5 g of NaCl into a beaker and adding water to make 1.50 L of NaCl solution.
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Example:• How many liters of a 0.114 M NaOH solution contains
1.24 mol of NaOH?
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How would you prepare 250 mL of 0.20 M NaCl?
0.250 L x 0.20 moles NaCl1 L
x 58.44 g 1 mole NaCl
= 2.9 g NaCl
Dissolve 2.9 g of NaCl in enough water to total 250 mL
Sample - Molar Solution Preparation
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Molarity and Dissociation
• When strong electrolytes dissolve, all the solute particles dissociate into ions
• By knowing the formula of the compound and the molarity of the solution, it is easy to determine the molarity of the dissociated ions simply multiply the salt concentration by the number of ions
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Molarity & DissociationNaCl(aq) = Na+(aq) + Cl-(aq)
1 “molecule” = 1 ion + 1 ion
100 “molecules” = 100 ions + 100 ions
1 mole “molecules” = 1 mole ions + 1 mole ions
1 M NaCl “molecules” = 1 M Na+ ions + 1 M Cl- ions
0.25 M NaCl = 0.25 M Na+ + 0.25 M Cl-
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Molarity & Dissociation
CaCl2(aq) = Ca2+(aq) + 2 Cl-(aq)
1 “molecule” = 1 ion + 2 ion
100 “molecules” = 100 ions + 200 ions
1 mole “molecules” = 1 mole ions + 2 mole ions
1 M CaCl2 = 1 M Ca2+ ions + 2 M Cl- ions
0.25 M CaCl2 = 0.25 M Ca2+ + 0.50 M Cl-
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Find the molarity of all ions in the given solutions of strong electrolytes
• 0.25 M MgBr2(aq)
• 0.33 M Na2CO3(aq)
• 0.0750 M Fe2(SO4)3(aq)
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Find the molarity of all ions in the given solutions of strong electrolytes
• MgBr2(aq) → Mg2+(aq) + 2 Br-(aq)
0.25 M 0.25 M 0.50 M
• Na2CO3(aq) → 2 Na+(aq) + CO32-(aq)
0.33 M 0.66 M 0.33 M
• Fe2(SO4)3(aq) → 2 Fe3+(aq) + 3 SO42-(aq)
0.0750 M 0.150 M 0.225 M
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Dilution
• Dilution is adding extra solvent to decrease the concentration of a solution
• The amount of solute stays the same, but the concentration decreases
• Dilution FormulaConcstart solnx Volstart soln = Concfinal solnx Volfinal sol • Concentrations and Volumes can be most units as
long as consistent
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Example – What Volume of 12.0 M KCl is needed to make 5.00 L of 1.50 M KCl Solution?
Given:
Initial Solution Final Solution
Concentration 12.0 M 1.50 M
Volume ? L 5.00 L
Find: L of initial KCl
Equation: (conc1)∙(vol1) = (conc2)∙(vol2)
L 625.0vol
M 12.0
L 5.00M 1.50vol
conc
volconcvol
1
1
1
221
Rearrange and Apply Equation:
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Making a Solution by DilutionM1 x V1 = M2 x V2
M1 = 12.0 M V1 = ? LM2 = 1.50 M V2 = 5.00 L
L 6250
M 12.0L 005M 1.50
V
MVM
V
VMVM
1
1
221
2211
..
dilute 0.625 L of 12.0 M solution to 5.00 L
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Solution Stoichiometry• we know that the balanced chemical equation tells us
the relationship between moles of reactants and products in a reaction2 H2(g) + O2(g) → 2 H2O(l) implies for every 2 moles of H2
you use you need 1 mole of O2 and will make 2 moles of H2O
• since molarity is the relationship between moles of solute and liters of solution, we can now measure the moles of a material in a reaction in solution by knowing its molarity and volume
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Example:• How much 0.115 M KI solution, in liters, is required to
completely precipitate all the Pb2+ in 0.104 L of 0.225 M Pb(NO3)2?
2 KI(aq) + Pb(NO3)2(aq) → PbI2(s) + 2 KNO3(aq)
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Why do we do that?• we spread salt on icy roads and
walkways to melt the ice• we add antifreeze to car radiators
to prevent the water from boiling or freezingantifreeze is mainly ethylene glycol
• when we add solutes to water, it changes the freezing point and boiling point of the water
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Colligative Properties• the properties of the solution are different from
the properties of the solvent
• any property of a solution whose value depends only on the number of dissolved solute particles is called a colligative propertyit does not depend on what the solute particle is
• the freezing point, boiling point and osmotic pressure of a solution are colligative properties
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Solution ConcentrationMolality, m
• moles of solute per 1 kilogram of solventdefined in terms of amount of solvent, not
solution does not vary with temperature
because based on masses, not volumes
mass of solution = mass of solute + mass of solventmass of solution = volume of solution x density
solvent of kg
solute of mole molality
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Example:• Calculate the molality of a solution containing 17.2 g of
ethylene glycol (C2H6O2) dissolved in 0.500 kg of water.
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Freezing Points of Solutions• the freezing point of a solution is always lower
than the freezing point of a pure solventFreezing Point Depression
• the difference between the freezing points of the solution and pure solvent is directly proportional to the molal concentration
• Tf = m x Kf
Kf = freezing point constant
• used to determined molar mass of compounds
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Freezing & Boiling Point ConstantsSolvent Kf
°C kg solvent mol solute
FP °C
Kb °C kg solvent
mol solute
BP °C
water, H2O 1.86 0.00 0.512 100.0
benzene, C6H6 5.12 5.53 2.53 80.1
cyclohexane,C6H12 20.0 6.47 2.79 80.7
naphthalene, C10H8 6.9 80.2 5.65 218
ethanol, C2H5OH 1.99 -115 1.22 78.4
t-butanol, (CH3)3COH 8.3 25.6 82.4
carbon tetrachloride,CCl4 29.8 -22.3 5.02 76.8
methanol, CH3OH -97.8 0.80 64.7
acetic acid, HC2H3O2 3.9 16.7 3.07 118
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Example:• Calculate the freezing point of a 1.7 m ethylene glycol
solution.
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Example:• Calculate the boiling point of a 1.7 m ethylene glycol
solution.
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Colligative Properties of Electrolytes
Since these properties depend on the number of particles dissolved, solutions of electrolytes (which dissociate in solution) should show greater changes than those of nonelectrolytes.
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Osmosis & Osmotic Pressure• osmosis is the process in which solvent molecules pass
through a semi-permeable membrane that does not allow solute particles to passsolvent flows to try to equalize concentration of solute on
both sidessolvent flows from side of low concentration to high
concentration
• osmotic pressure is pressure that is needed to prevent osmotic flow of solvent
• isotonic, hypotonic and hypertonic solutionshemolysis
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Drinking Seawater
Because seawater hasa higher salt concentrationthan your cells, water flowsout of your cells into theseawater to try to decreaseits salt concentration.
The net result is that, insteadof quenching your thirst,you become dehydrated.
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Osmotic Pressure
Solvent flows through a semipermeable membrane to make thesolution concentration equal on both sides of the membrane. The pressure required to stop this process is the osmotic pressure.
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Molar Mass from Colligative Properties
We can use the effects of a colligative property such as osmotic pressure to determine the molar mass of a compound.
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Osmosis in Blood Cells
• If the solute concentration outside the cell is greater than that inside the cell, the solution is hypertonic.
• Water will flow out of the cell, and crenation results.
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Osmosis in Cells
• If the solute concentration outside the cell is less than that inside the cell, the solution is hypotonic.
• Water will flow into the cell, and hemolysis results.
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Hemolysis & Crenation
normal red bloodcell in an isotonic
solution
red blood cell inhypotonic solution – water flows into
the cell –eventually causing
the cell to burst
red blood cell inhypertonic solution – water flows out
of the cell –eventually causingthe cell to distort
and shrink
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Rate of Dissolving
What are three ways that you can increase the rate at which a solid solute dissolves in a solvent?
1.
2.
3.
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Tyndall Effect• Colloidal suspensions can
scatter rays of light.• This phenomenon is
known as the Tyndall effect.