Physical Properties
of Solutions
Unit 3
Classification
Classification
of Matter
of Matter
Solute
Solute
A solute is the dissolved substance in a solution.
A solvent is the dissolving medium in a solution.
Solvent
Solvent
Salt in salt water Sugar in soda drinks
Carbon dioxide in soda drinks
Water in salt water Water in soda
Solution:
Solution:
Homogeneous mixture of two or
Homogeneous mixture of two or
more substances, consists of two parts:
Solns and Crystallization
Crystallization: Opposite process to forming
a solution (crystallization and dissolving are
opposite words)
Solute + solvent solution
*There will be an equilibrium we discuss
Preparing Solns
Solutions are identified based on their
concentrations. Most widely used measure
of concentration is:
1. A laboratory procedure requires 0.270 moles of methanol, CH3OH to be added as a solvent. What volume of 1.50 M
CH3OH is needed to attain this number of moles?
M = moles of solute liters of solution
3. A student needs to prepare 1 L of a 0.1 M solution of
copper (II) sulfate from solid. How many grams of copper (II) sulfate should the student measure?
Answer: 0.18 L or 180 mL
Answer: 16 g of CuSO4, add to 1 L H2O
2. If 80 grams of NaOH is dissolved to make 1 liter of soln, what is the molarity?
New concentration when mixing
two solutions together?
• When mixing two solutions together must calculate the moles of each solution.
• Volumes of each solution are additive. • Then divide new moles by new volume. Example:
When 70. milliliters of 3.0-molar Na2CO3 is added to 30. milliliters of 1.0-molar NaHCO3 the result ing concentration of Na+ is?
AP Sample Question
A 0.20 mol sample of MgCl2(s) and a 0.10 mol sample of KCl(s) are dissolved in water and diluted to 500 mL. What is the concentration of Cl- in the solution?
AP Sample Question
A 360. mg sample of aspirin, C9H8O4, (molar mass 180. g), is dissolved in enough water to produce 200. mL of solution. What is the molarity of aspirin in a 50. mL sample of this solution?
AP Sample Question
A 40.0 mL sample of 0.25 M KOH is added to 60.0 mL of 0.15 M Ba(OH)2. What is the molar
concentration of OH-(aq) in the resulting solution?
(Assume that the volumes are additive.) A. 0.10 M
Reminder:
Reminder:
Mole fraction – the ratio of moles of solute to total moles of solution
Example Problem:
Whether or not solns form?
• Substances with similar
intermolecular
interactions
tend to be miscible or soluble
in one another.
IMFs in Soln Formation
1. Solute-solute interactions between solute particles must be overcome in order to disperse the solute particles thru the solvent.
2. Solvent-solvent interactions between solvent particles must be overcome to make room for the solute particles in the solvent. 3. Solvent-solute interactions between solvent and solute particles
occur as the particles mix.
H1
H2
“
“
Like Dissolves Like
Like Dissolves Like
”
”
Fats BenzeneBenzene
SteroidsSteroids HexaneHexane
WaxesWaxes TolueneToluene
Polar and ionic solutes dissolve best in polar solvents Nonpolar solutes dissolve best in nonpolar solvents
Salts WaterWater
SugarsSugars Small alcoholsSmall alcohols
Acetic acidAcetic acid
Miscible or immiscible?
Miscible: Pairs of liquids that mix well (ethanol and water)
Immiscible: pairs of liquids that do not
dissolve in one another (hexane and water)
Saturation level of Solutions
Saturation level of Solutions
A solution that contains the maximum amount of A solution that contains the maximum amount of
solute that may be dissolved under existing
solute that may be dissolved under existing
conditions is
conditions is saturatedsaturated. Solubility . Solubility is a measure is a measure of saturation.
of saturation.
A solution that contains less solute than a A solution that contains less solute than a
saturated solution under existing conditions is
saturated solution under existing conditions is
unsaturated
unsaturated. .
A solution that contains more dissolved solute A solution that contains more dissolved solute
than a saturated solution under the same
than a saturated solution under the same
conditions is
Solubility Chart (Temperature)
Solubility Chart (Temperature)
• What do you notice? • What is this graph
showing?
• Anything stand out?
Think about it…
A temperature vs. solubility graph of a substance is
constructed based on data.
Why is solubility decreasing with
Temperature and Solubility
Gas solubility and temperature
solubility usually decreases with
increasing temperature, more KE more molec
Temperature and Solubility
• As temp of a solvent
increases, the solubility
of solutes increases
– As T increases, KE of molecules increases
resulting in more solute-solvent collisions
• Exception: gases lose
solubility as the
temperature of a solvent
increases.
– Gases escape soln at higher T
Water Molecules
Solubility Curve
• Shows the max amount of a solute that can dissolve at a given temp.
• The curve indicates type of soln
Above = supersaturated On = saturated
Below = unsaturated
• The most common curve is that for water.
What curves increase? solids
On the basis of the
solubility curves shown
above, the greatest
percentage of which
compound can be
recovered by cooling a
saturated solution of
that compound from
90°C to 30°C?
A. NaCl B. KNO3 C. K2SO4
How do gases stay dissolved in
solutions then?
Henry
Henry
’
’
s Law (Pressure)
s Law (Pressure)
The concentration of a dissolved gas in a
solution is directly proportional to the pressure of the gas above the solution
kP
C
Applies most accurately for dilute solutions of gases that do not dissociate or react with the
solvent Yes CO
2, N2, O2
Pressure and Solubility of Gases
c = kP cP is the concentration ( is the pressure of the gas over the solutionM) of the dissolved gas k is a constant (mol/L•atm) that depends only on temperature
low P
low c
high P
high c
If pressure of liquid is decreased, gas concentration will
How can you increase solubility?
• Solids? (Increase KE of particles)
o Heated o Stirred
o Ground into small particles
• Gases? (Try to decrease KE of particles)
Solubility Trends
Solubility Trends
1.
1. Temperature:Temperature:
The solubility of MOST solids increases with The solubility of MOST solids increases with
temperature.
temperature.
The solubility of gases decreases with increases in The solubility of gases decreases with increases in
temperature.
temperature. 2.
2. Solute-Solvent InteractionsSolute-Solvent Interactions::
The rate at which solids dissolve increases with The rate at which solids dissolve increases with
increasing surface area of the solid, stirring and temp.
increasing surface area of the solid, stirring and temp.
““Like Dissolves Like”Like Dissolves Like”
3.
3. Pressure:Pressure:
The solubility of gases increases with the pressure above The solubility of gases increases with the pressure above
the solution.
AP Sample
Question
Which of the following molecules is least
soluble in water?
Based on concepts of polarity and hydrogen bonding, which of the following sequences
correctly lists the compounds above in the order of their increasing solubility in water?
Colligative Properties
Colligative Properties
Colligative properties are those that depend on the concentration of particles in a
solution, not upon the identity of those properties.
Vapor Pressure Lowering
Boiling Point Elevation
Freezing Point Depression
Vapor Pressure
Vapor Pressure
Lowering
Lowering
*Direct relationship with Temperature.
*Increases with decreasing IMFs.
•Defined as the pressure above the liquid at equilibrium.
•Liquids with high vapor pressures evaporate easily. They are called
Raoult
Raoult
’
’
s Law
s Law
Raoult
Raoult
’
’
s Law
s Law
The presence of a nonvolatile solute lowers the vapor pressure of the solvent. Why? IMFs. (interaction of particles in soln prevents
evaporation and leads to lower vapor pressure)
P
solution = Observed Vapor pressure of the solutionP
0solvent = Vapor pressure of the pure solvent
solvent = Mole fraction of the solventP
solution=
X
solventP
0Examples:
Predict whether each of the following
substances is more likely to dissolve in the
nonpolar solvent carbon tetrachloride, CCl
4or
in water:
1.C
7H
162.Na
2SO
43.HCl
What do the results indicate about the intermolecular interactions of the substances?
A.I2 and H2O have similar intermolecular interactions, and I2 and C6H14 do not.
B.I2 and have similar intermolecular interactions, and I2 and H2O do not.
Example:
Liquid-liquid solutions in which both
Liquid-liquid solutions in which both
components are volatile
components are volatile
both liquids contribute to the pressure
both liquids contribute to the pressure
Modified Raoult's Law:
Modified Raoult's Law:
P0 is the vapor pressure of the pure solvent
PA and PB are the partial pressures
P
TOTAL=
P
A+
P
B=
X
AP
0Pure water - microscopic view. 1.0 M NaCl solution - microscopic view.
Note that the ionic solid, NaCl, produces Na+ ions (blue) and Cl- ions (green) when dissolved in water.
Non-Volatile Solutes
Pure liquid xenon - microscopic view. Krypton-xenon solution - microscopic view (krypton atoms are shown in blue).
Volatile Solutes
Extra Information
Extra Information
Suspensions and Colloids
Suspensions and Colloids
Suspensions and colloids are NOT solutions.
Suspensions: The particles are so large that they settle out of the solvent if not
constantly stirred.
Colloids: The particles intermediate in size
Types of Colloids
Types of Colloids
Examples
Examples Dispersing Dispersing
Medium Medium Dispersed Dispersed Substance Substance Colloid Type Colloid Type
Fog, aerosol sprays
Fog, aerosol sprays GasGas LiquidLiquid AerosolAerosol Smoke, airborn germs
Smoke, airborn germs GasGas SolidSolid AerosolAerosol Whipped cream, soap suds
Whipped cream, soap suds LiquidLiquid GasGas FoamFoam Milk, mayonnaise
Milk, mayonnaise LiquidLiquid LiquidLiquid EmulsionEmulsion Butter, cheese
The Tyndall Effect
The Tyndall Effect
Colloids scatter light, making a beam visible.
Solutions do not scatter light.
Which glass
Separation of a Solutions: 4
Separation of a Solutions: 4
main
main
ways to separate
ways to separate
1. Filtration
2. Distillation
3. Chromatography
4. Electrolysis
*For each one, we will discuss why and for what
purpose each should be used.
Question?
• How would you separate iron fillings from
sand?
The constituents of the mixture retain their
The constituents of the mixture retain their
identity and may be separated by physical
identity and may be separated by physical
means.
means.
1. Filtration
• When trying to
separate a solid from a liquid (solid has
Distillation
• When separating two volatile miscible liquids from
each other (Hydrocarbons are a good example) • Make use of differences in vapor pressure (and
IMFs) and boiling points to separate and re-condense back into pure liquid form
• Substance with highest vapor pressure, lowest BP, weakest IMFs condenses first
• Simple distillation separate liquids with boiling point gaps of at least 50 degrees whereas
Adds Fractionating Column
Fractionating column slows
A mixture containing equal numbers of moles of ethyl
acetate and butyl acetate was separated using distillation. Based on the diagrams shown above, which of the following identifies the substance that would be initially present in
higher concentration in the distillate and correctly explains why that occurs?
A.Ethyl acetate, because it has fewer C-C bonds to break B.Ethyl acetate, because it has a shorter carbon chain and weaker London dispersion forces
3. Types of Chromatography
• Paper Chromatography
• Thin-layer Chromatography (TLC)
• Column Chromatography
– separates chemical species by taking
advantage of the differential strength of intermolecular interactions between and among the components of the solution (the
Paper
Paper
Chromatography
The components of dyes such as ink may be separated by paper chromatography.
Spot a small sample of mixture on paper. Place in
Thin Layer Chromatography
(TLC)
• Works similarly to paper
chromatography, usually coated with silica (polar)
• Sometimes visualize under UV light
How to calculate Rf?
• Distance of spot from
origin divided by distance of solvent front from origin. • Example:
• Notice that:
– the bigger the Rf, the further the spot moved
Column Chromatography
• used to separate a non-volatile mixture of
chemical substances into its individual
compounds.
• Mixture moves along with mobile phase
through stationary
phase and separates depending on the
4. Electrolysis
• Use electricity to
separate a compound or molecule into
individual elements. • Only type of
Other Separation Techniques
• Separatory funnel to collect two immiscible liquids
• Less dense layer (organic layer) on top of aqueous layer
Recrystallization use temperature or chemical
A student obtains a liquid sample of green food coloring that is known to contain a mixture of two solid pigments, one blue and one yellow, dissolved in an aqueous solution of ethanol. Which of the following laboratory setups is most appropriate for the student
to use in order to separate and collect a substantial sample of each of the two pigments?
A student performed a fractional distillation of a mixture of two
straight-chain hydrocarbons, C7H16 and C8H18. Using four clean, dry flasks, the student collected the distillate over the volume ranges (A, B, C, and D) shown in the graph above. Over what volume
range should the student collect the distillate of the compound with the stronger intermolecular forces?
A
AP Practice Problem
Which of the following techniques is most appropriate for the recovery of solid KNO3 from an aqueous solution of KNO3?
A.Paper Chromatography B.Filtration
C.Titration
D.Electrolysis
In Lab TOMORROW
Goal: Separate 3
components out of pain relief mixture:
aspirin
acetaminophen silica gel (binder) *Each one separated by diff technique depending on IMFs
• Lab speaks to 3
separation techniques (can be considered 4)
• Filtration
• Liquid-liquid extraction • Recrystallization then
filtration
Spectroscopy
• Using light energies on EM spectrum to
analyze samples
How can light energy be used to
analyze samples?
Differences in absorption or emission of photons in different spectral regions are related to the different types of molecular motion or
electronic transition:
– a. Microwave radiation is associated with transitions in molecular rotational levels, revealing the location of hydrogen in the molecule, bond distances and angles. – b. Infrared radiation is associated with transitions in
molecular vibrational states of chemical bonds, revealing the types and strengths of different bonds in the
molecules.
– c. Ultraviolet/visible radiation is associated with
How to categorize light E?
• Wavelength is the distance between 2 consecutive peaks. Units=nm or m
Units of wavelength
vary – depends on type
of radiation being
Photoelectric Effect
The diagram above represents the photoelectric effect for a
Photoelectric Effect
• When photon interacts w/ e
-, photon’s E is
transferred to the electron, the photon
disappears and e
-gains all the photon E.
• A high E photon is able to transfer sufficient E
for the e
-to break away from the surface of the
metal.
• Usually a threshold value (min E needed)
*PES, solar panels, basis of spectroscopy
e-c =
C = speed of light, a constant (3.00 x 108 m/s)
= frequency, in units of hertz (hz, sec-1)
= wavelength, in meters
Electromagnetic radiation propagates through
Electromagnetic radiation propagates through
space as a wave moving at the speed of light.
E = h
E
E = Energy, in units of Joules (kg·m = Energy, in units of Joules (kg·m22/s/s22))
h
h = Planck = Planck’’s constant (6.626 x 10s constant (6.626 x 10-34-34 J·s) J·s)
= frequency, in units of hertz (hz, sec= frequency, in units of hertz (hz, sec-1-1))
The energy (
The energy (E E ) of electromagnetic ) of electromagnetic radiation is directly proportional to
radiation is directly proportional to
the frequency (
the frequency () of the radiation.) of the radiation.
These packets of “h” are called quanta
• Each color of light is associated with a range of wavelengths
*ranges are approximate
The Visible Spectrum
Color Wavelengths (nm)
Red 650 - 750
Orange 595 - 650 Yellow 560 - 595
Green 480 - 560
Blue 435 - 480
x = c
= c/
= 3.00 x 108 m/s / 6.0 x 104 Hz
= 5.0 x 103 m
Radio wave
A photon has a frequency of 6.0 x 104 Hz. What is the
wavelength (nm). Is this visible light?
= 5.0 x 1012 nm
Another Problem… Another Problem…
An FM radio station has a frequency of 93.3 MHz (1 MHz = 106 Hz, or cycles per second). What is the
wavelength of this radiation in meters?
3.22 m
Does this answer make sense? What range of energy does this fall under?
You Try:
1. What is the wavelength of light with a frequency 5.89 x 1014 Hz (in nm)?
What color of light is this?
Green
2.What is the wavelength of blue light with an energy of 4.55 x 10-19 J?
509 nm
Apply:
The energy required to break the O – O bond in H2O2(g), is 139 kJ mol-1. How much energy is
needed to break one peroxide bond (in Joules)?
2.31 x 10-19 J
Blue light has a wavelength of about 475 nm.
Does this light have enough energy to break the bond?
…produces all of the colors in a continuous spectrum
Spectroscopic analysis of the visible spectrum…
…produces a “bright line” spectrum
Atomic Spectroscopy of the hydrogen spectrum…
Atomic Spectroscopy
Atomic Spectroscopy
: Is an analytical tool used
to study electromagnetic radiation (UV and Vis)
being absorbed or emitted by atoms.
Atoms in the gaseous state can be uniquely
identified by the emission spectrum given off
when the atoms are excited with electrical
Which of the following is closest to the frequency of the light with photon energy of 3.3×10−19J?
A. 5.0×10
−53s
−1B. 5.0×10
−16s
−1C. 5.0×10
14s
−1When the metal surface is exposed to light with increasing frequency and energy of photons, electrons first begin to be ejected from the metal when the energy of the photons
is 3.3×10−19J.
Using the wavelength information provided above, what is the color of the light?
A.Red
Spectrophotometry
• A spectrophotometer measures amount of light
absorbed (A) or transmitted (T) by a sample.
• Used to determine unknown concentrations of
colored, liquid solutions, absorbance is related to concentration.
• Used widely in pharmaceutical companies.
Absorbance vs. Transmittance?
• Absorbance: How muchlight energy is absorbed by a sample (high
concentration, high
amount of light absorbed) • Transmittance: How
much light energy passes through the sample (high concentration, low
How does this process work?
• Sample to be studied? What color is the sample?
• Sometimes, a calibration plot of absorbance vs. wavelength is constructed to pick the correct wavelength setting on machine where absorbance is highest.
• Measure solns of your substance of known concentrations to make a plot (Beer’s Law plot)
Br2 (l) + HCOOH (aq) 2Br- (aq) + 2H+ (aq) + CO
2 (g)
time
393 nm
light Detector
[Br2] Absorption
13.1 • Color calibration plot. What color or wavelength
How do you determine color?
• Remember that absorption of color is opposite of
reflection of color.
• When choosing a color for absorption on spec, must consider this and always pick the opposite color.
This is where absorption is at its maximum.
• If a solution is purple, what color will it absorb the
most?
Use the Color Wheel
Color of light and associated wavelengths:
(in case you forgot)
*ranges are approximate
The Visible Spectrum
Color
Wavelengths (nm)
Red
650 - 750
Orange
595 - 650
Yellow
560 - 595
Green
480 - 560
Blue
435 - 480
Once wavelength (color) is set,
measure known samples:
• Create various known conc of samples
• Measure the absorbance value of each
• Make a plot of Absorbance vs.
Determine Conc of Unknown
• Once Graph of absorbance vs.
concentration constructed, measure
unknown sample
• Use graph to figure out unknown
concentration of solution or another
method!
Unknown has
absorbance value of 0.8. What is the
concentration?
Beer-Lambert Law
Often times, just “Beer’s Law”
Plot of absorbance vs. concentration
Allows for determination of unknown concentration
to be found in colored
solutions
A = abc
A = absorbance
a = molar absorptivity (slope) b = path length (cm)
Understanding Beer’s Law
A = abc
y = mx + b
ab = m = slope
c = x = concentration
Beers Law Example:
A soln of KMnO4 has an absorbance of 0.539
when measured at 540 nm in a 1.0 cm cell. What is the concentration of the KMnO4? Prior to
determining the absorbance for the unknown soln, the following calibration data were collected for the spectrophotometer:
Concentration of KMnO4 Absorbance
Several ways to solve:
A soln of KMnO4 has an absorbance of 0.539
when measured at 540 nm in a 1.0 cm cell. What is the concentration of the KMnO4?
*Use proportions: C / A and set equal *Use graphing calculator
*Use the equation, solve for a first
Concentration of KMnO4 Absorbance
To determine the number of moles of Cu in the sample of the mixture, the students measured the absorbance of known concentrations of Cu(NO3)2(aq) using a
spectrophotometer. A cuvette filled with some of the solution produced from the sample of the mixture was also tested. The data recorded by one student are
shown in the table above. On the basis of the data provided, which of the following is a possible error that the student made?
A.The Cu(NO3)2(aq) from the sample of the mixture was not diluted properly.
B.The spectrophotometer was calibrated with tap water instead of distilled water. C.The student labeled the cuvettes incorrectly, reversing the labels on two of the solutions of known concentration.
Absorbance vs. Transmittance
• A and T are related
• Should be determined by plotting data on
graphs in your lab tomorrow.
• Relationship: TBD by you:
1/T versus [dye] 1 × 10T versus [dye]
logT versus [dye] –logT versus [dye]
Goals of Lab tomorrow:
• Determine the correct relationship
between A and T (by constructing graphs)
• Determine the unknown concentration of
blue dye in Gatorade.
• Only 1 spec machine, each group given a
time slot to use the machine.
From Lab Yesterday:
• Fill out data table (pre-lab)
• Include entry for unknown sample
• Convert %T to decimal T
• Construct 4 graphs using Excel and print x2
• 1/T versus [dye]
• 1 × 10T versus [dye] • logT versus [dye] • –logT versus [dye]
• Determine correct relationship between A and T
• Use this equation to convert T to A
•
Construct a new Absorbance. vs Conc graph