Lecture 16 - Solutions I

Thursday, March 7, 2024

9:00 AM

 "Life was born in water and is carrying on in water. Water is life's mater and matrix, mother and medium. There is no life without water." Albert Szent-Györgyi,  Biology and the Pathology of Water Perspectives in Biology and Medicine 1971
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Class notes (1-15): https://bricejurban.github.io/CHEM101/

Assignments this week:
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/assignments/1005439"HW 10 - Moles, Stoichiometry, Limiting Reactants, % Yield
﷟HYPERLINK "https://boisestatecanvas.instructure.com/courses/28698/modules/items/3019133"Reading Quiz on Chapter 5
Assignments coming up:
HW 11 - Aqueous Solutions, Molarity, Dilutions
HW 12 - Equilibrium and Le Chatelier's Principle
Reading Quiz on Chapter 6
Activity: Chemical Reactions

Reminders:
Please turn in your Lecture 15 limiting reactant questions or upload to Gradescope
Midterm 2 is published on Gradescope and the answer key is outside SCNC 336. If you notice any errors in grading, please make a regrade request through Gradescope.

CIC (EDUC 107) Hours: Friday 11AM - 1PM
Office Hours (SCNC 314 or Zoom): ﷟HYPERLINK "https://calendly.com/bricejurban/office-hours"By appointment
Today's Schedule (3/7):
Solutions
Solubility
Dissolution Reactions
Solubility Rules
Ionic and Net Ionic Equations
Concentrations
Dilutions
Looking Ahead
Tuesday (3/12):
Stoichiometric Calculations involving Solutions
Colligative Properties

Water
Water has many unusual physical and chemical properties
The shape of the water molecule is peculiar with two hydrogen atoms with their positive formal charges one side and two lone pairs of electrons and their negative charge on the other, water takes on a strong dipole character which attracts ions. This leads to water surrounding ions as spheres of hydration (both a primary and secondary sphere).
For its size, you'd expect the boiling point to be -100 °C, but it is 100 °C
Similarly, you'd expect its freezing point to be -120 °C, but it is 0 °C
Water has a high cohesion, allowing trees to pump water from the soil to a height of 50 meters or more.
Water forms hydrogen bonds, acting as both H bond donors and H bond acceptors, thus forming hydrogen bonds with one another. In ice, all water molecules are bonded to another.
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Water forms hydrogen bonds, acting as both H bond donors and H bond acceptors, thus forming hydrogen bonds with one another. In ice, all water molecules are bonded to another.
Liquid water is more dense than solid water (ice). This is different than almost every other substance and is the result of less hydrogen bonds in liquid water (~3 per H2O vs 4 per H2O in ice)
Water is the universal solvent for life. ~70% of our body is water by mass. This varies from cell type with bones and fat cells having the least, but still ~30%
Solutions 
When a substance is placed into water it can form a homogeneous or heterogenous mixture. When the substance is spread out evenly, it is homogenous and is referred to as a solution 
Solute Solvent.png NaC1 
HO 
Solute 
Solvent 
NaCl (solute) + H2O (solvent)



Solute: What's being dissolved (usually the smaller part)

Solvent: What the solute is dissolved in (usually the larger part; usually water)

Solution: Solute dissolved in a solvent


Untitled picture.jpg Machine generated alternative text:
WHY DO CHEMISTS NEVER 
ENCO!NTER RROBLEMSP 
ALL THE SOLUTIONS 


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Unsaturated 
solution 
Undissolved 
Saturated 
solution 
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Molecular equation:
NaCl(s) + H2O(l) ⟶ NaCl(aq)
Untitled picture.png 들;이이 
이 후 2월) 



Note the negative end of the molecular dipole of water faces the positive charges and the positive end faces the negative charges.
Dissolution equation:
NaCl (s) ⟶ Na+(aq) + Cl–(aq)

Dissolution: The process of dissolving a salt in water.

Solvation shells (spheres of hydration) surround each ion which is what we indicate when we write aqueous (aq).
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Unsaturated 
solution 
Undissolved 
Saturated 
solution 

Unsaturated solution: A solution with less than the amount of solute needed for saturation

Saturated solution: The maximum amount of solute that the given solvent can hold at a particular temperature. Solubility is always in reference to the saturated solution.

Supersaturated solution: A carefully prepared solution that contains more solute than a solvent can normally hold. Prepared by carefully cooling a saturated solution

 Most solids increase solubility in a liquid with increasing temperature
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100 
80 
70 
40 
NCI 
30 
10 
0 10 20 30 40 50 60 70 80 90 100 
Temperature (oc) 
  Most gases decrease solubility in a liquid with increasing temperature
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CH4 
2.0 
co 
1.0 
He 
10 
Temperature CC) 
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100 
80 
70 
40 
NCI 
30 
10 
0 10 20 30 40 50 60 70 80 90 100 
Temperature (oc) 


Solubility of liquids and solids is not greatly affected by pressure
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CH4 
2.0 
co 
1.0 
He 
10 
Temperature CC) 

Solubility of gases is greatly affected by pressure
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before
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after

 Dissolution Equation Examples: 
KCl(s) ⟶ 
CaCl2(s) ⟶
K3PO4(s) ⟶
Fe(NO3)3(s) ⟶
 
Some salts have low solubility and reach saturation very quickly
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Pbcro, 
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Some salts have low solubility and reach saturation very quickly

Examples are shown to the right. 

How can we predict this?
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Pbcro, 

Solubility Rules
Embedded file printout Solubility rules Half_1.png Solubility: The ability of a substance, the solute, to form a solution with a solvent (e.g. water) 
General Solubility Rules for Ionic Compounds, applied in the order given: 
l. 
2. 
3. 
4. 
5. 
6. 
Most alkali metal salts and ammonium salts are soluble. 
Most nitrates, acetates, and perchlorates are soluble. 
Most silver, lead, and mercury(l) salts are insoluble. 
Most chlorides, bromides, and iodides are soluble. 
Most carbonates, chromates, sulfides, oxides, phosphates, and hydroxides are insoluble; except 
for hydroxides of Ba2+, Ca2+, and Sr2+ which are slightly soluble 
Most sulfates are soluble; except for calcium sulfate and barium sulfate which are insoluble. 
Solubility Rules for Salts 
Always soluble: 
• alkali ions, NH', N03-, C103-, C104-, C2H302-, HC03- 
Generally soluble: 
2 
Soluble except with Ag+, Pb2+, Hg22+ 
Soluble except with Pb2+ Ca2+ Ba2+ 
Soluble except with Pb2+, Ca2+, Ba2+ 
Sr2+, Mg2 
s 12+ 
Generally insoluble: 
02 , OH- 
Insoluble except with Ca2+ Ba2+ Sr2+ 
alkali ions, NH4 
coe- P043-, S2- S032-, Cr042-, C2042 
Insoluble except with alkali ions and NH4+ 
Strong Acids 
HCI, HBr, HI, HN03, H2S04, 
HC103, HC104, H104 
Gases that Form 
H2S (g) 
H2C03 (aq) C02 (g) + (C) 
H2S03 (aq) sch (g) + H20 (C) 
NH40H (aq) NH3 (g) + H20 (0 
Strong Bases 
Li0H, NaOH, KOH, RbOH, CsOH 
TIOH, 
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Embedded file printout Solubility rules Half_1.png Solubility: The ability of a substance, the solute, to form a solution with a solvent (e.g. water) 
General Solubility Rules for Ionic Compounds, applied in the order given: 
l. 
2. 
3. 
4. 
5. 
6. 
Most alkali metal salts and ammonium salts are soluble. 
Most nitrates, acetates, and perchlorates are soluble. 
Most silver, lead, and mercury(l) salts are insoluble. 
Most chlorides, bromides, and iodides are soluble. 
Most carbonates, chromates, sulfides, oxides, phosphates, and hydroxides are insoluble; except 
for hydroxides of Ba2+, Ca2+, and Sr2+ which are slightly soluble 
Most sulfates are soluble; except for calcium sulfate and barium sulfate which are insoluble. 
Solubility Rules for Salts 
Always soluble: 
• alkali ions, NH', N03-, C103-, C104-, C2H302-, HC03- 
Generally soluble: 
2 
Soluble except with Ag+, Pb2+, Hg22+ 
Soluble except with Pb2+ Ca2+ Ba2+ 
Soluble except with Pb2+, Ca2+, Ba2+ 
Sr2+, Mg2 
s 12+ 
Generally insoluble: 
02 , OH- 
Insoluble except with Ca2+ Ba2+ Sr2+ 
alkali ions, NH4 
coe- P043-, S2- S032-, Cr042-, C2042 
Insoluble except with alkali ions and NH4+ 
Strong Acids 
HCI, HBr, HI, HN03, H2S04, 
HC103, HC104, H104 
Gases that Form 
H2S (g) 
H2C03 (aq) C02 (g) + (C) 
H2S03 (aq) sch (g) + H20 (C) 
NH40H (aq) NH3 (g) + H20 (0 
Strong Bases 
Li0H, NaOH, KOH, RbOH, CsOH 
TIOH, 

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Insoluble salt
AgCl (s) ⇄ Ag+(aq) + Cl–(aq)
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Polar covalent substance
CH3CH2OH(l)  ⟶CH3CH2OH(aq)

Polar solute & Polar solvent
Miscible (easy mixed)

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Polar covalent substance
C12H22O11(s)  ⟶ C12H22O11(aq)

Polar solute & Polar solvent
Miscible
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nonpolar covalent substance
C₁₆H₃₂O₂(s)  ⟶ NR

Nonpolar solute & Polar solvent
Immiscible (two layers)
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Strong Acid
HCl(aq)  ⟶ H+(aq) + Cl–(aq)
Strong acids are strong electrolytes
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Weak Acid
HF(aq) ⇄ H+(aq)+ F–(aq)
Weak acids are weak electrolytes

Like dissolves like

Polar + Polar = Miscible

Nonpolar + Nonpolar = Miscible

Polar + Nonpolar = Immiscible
  

Strong electrolytes dissociate completely

Weak electrolytes dissociate partially

Nonelectrolytes do not dissociate
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Strong acids are strong electrolytes
Polar + Nonpolar = Immiscible
Nonelectrolytes do not dissociate




Chemical equations, Complete ionic equations, and Net ionic equations
   KCl(aq) + Na2S(aq) ⟶  

  

There is no net ionic equation, because there are no spectator ions. 

 AgNO3(aq) + K2S(aq) ⟶ 
 




`


Pb(NO3)2(aq) + Na2CO3(aq) ⟶






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Concentration
 Concentration: The quantitative ways of expressing the specific amount of solute dissolved in a solution.
Untitled picture.png Machine generated alternative text:
Amount of Solute 
Concentration (C) = 
Amount of Solution 
When the concentrations of multiple solutions are compared to one another, each homogeneous mixture can be qualitatively described as being "concentrated" or "dilute," relative to the other solution. 

Mass Percent (% m/m) 
(consumer products)
Untitled picture.png Machine generated alternative text:
msolute (g) 
x 100 
msolution ( g) 

Untitled picture.png Machine generated alternative text:
msolute (g) 
x 100 
msolute (g) + Insolvent (g) 


132 grams of tin (II) sulfate and 850. grams of water.
Volume Percent (% v/v) 
(for miscible liquids)
Untitled picture.png Machine generated alternative text:
'Volume Percent = 
solute (mL) 

Untitled picture.png Machine generated alternative text:
Vsolute (mL) 
x 100 
vsolute (mL) + (ml,) 

519.2 milliliters of helium and 168.4 milliliters of molecular chlorine.
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Mass/Volume Percent (% m/v) 
(used a lot in biology)

Untitled picture.png Machine generated alternative text:
msolute (g) 
Mass/Volume Percent — 
x 100 
¯ v solutlon (mL) 








289.15 grams of calcium azide, Ca(N3)2, in 762.5 milliliter water.



Mole fraction 
(for gas mixtures)
Untitled picture.png Machine generated alternative text:
(mol) 
Mole Fraction of A (IA) = 
nA(moI)+ nB(mol) 



A gas cylinder that contains a mixture of 3.00 moles oxygen (O₂) and 7.00 moles nitrogen (N₂).





Molarity 
(for most chemistry purposes)
Untitled picture.png Machine generated alternative text:
nsolute (mol) 
Molarity (M) 
solution (L) 

31.96 grams of magnesium nitrate [148.32 g/mol] in 943 mL solution of water
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The large amount of solute will affect the volume of solution.
If the density is unknown, we might estimate the density as 1g/mL as I did to the right. However, this is somewhat incorrect, as the solute-solvent interactions will cause a volume contraction. Determining this volume is not trivial . . .
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Molality
 (for colligative properties)
Untitled picture.png Machine generated alternative text:
n olute (mol) 
Molality (m) = s 
msolvent (kg) 



You are studying the freezing point depression of water and prepare a solution by dissolving 0.50 moles of glucose (C₆H₁₂O₆) in 500 grams of water.










Parts-per Notation 
(for very dilute solutions and water analysis)

Untitled picture.png Machine generated alternative text:
msolute (g) 
x 103 
parts per thousand = 
msolution g) 
msolute (g) 
x 106 
parts per million (ppm) — 
msolution g) 
msolute (g) 
x 109 
parts per billion (ppb) — 
msolution g) 

Oceanographers are studying the salinity of sea water in a coastal region. They find that a sample of seawater contains 35 grams of dissolved salts in 965 grams of water.





In a water treatment plant, the quality of drinking water is being tested. An analysis shows that there are 0.150 grams of dissolved solids in 250 liters of water.






An environmental scientist is measuring the concentration of a pesticide, DDT, in a lake. The analysis shows that there are 0.75 grams of DDT in 500,000 liters of lake water.


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Dilutions (Cover next Tuesday!)
Untitled picture.png 
In chemistry and biology preparing diluted solutions from more concentrated solutions is an everyday process in the lab. By adding water to a concentrated solution we can dilute the solution. The number of moles stays the same, but the volume increases.
Dilutions in the kitchen
cm5l6rimage1.jpg Dilution Orange Juice

Dilutions using volumetric flasks in the lab
Untitled picture 5.2: Solutions and Dilutions - Chemistry LibreTexts

Serial Dilutions
Serial_dilution.png 
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Serial_dilution.png 
50 mL of a 6.0 M HCl solution is added to a 1L volumetric flask and filled to the line. what's the new concentration of HCl? 



I want to prepare 250mL of a 0.200 M HNO3 solution from a 4.00 M HNO3 stock solution, how much must I transfer to the volumetric flask?



A physician orders 100. mL of 2.0% (m/v) ibuprofen. What stock solution did you start with if you used 25 mL of the concentrated solution?


The following successive dilutions are applied to a stock solution that is 5.60 M sucrose:

Solution A = 46.0 mL of the stock solution is diluted to 116 mL
Solution B = 58.0 mL of Solution A is diluted to 248 mL
Solution C = 87.0 mL of Solution B is diluted to 287 mL

What is the concentration of sucrose in solution C?

 

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