exam 1 chem - patterns
Yes — this is probably the most useful study guide to memorize before you start grinding calculation problems. I’ll focus on the patterns, trends, cause-and-effect relationships, comparisons, and “if this increases, what happens to that?” questions from Chapters 11–13.
🧪 CHEM EXAM 1 — CONCEPTUAL PATTERNS & TRENDS STUDY GUIDE
⭐ 1. The BIGGEST Pattern: Intermolecular Forces
A lot of Chapter 11 can be reduced to one idea:
How strongly are the molecules attracted to each other?
As intermolecular forces get STRONGER:
Property | What happens? |
|---|---|
Boiling point | ⬆ |
Viscosity | ⬆ |
Surface tension | ⬆ |
Vapor pressure | ⬇ |
Volatility | ⬇ |
Ability to evaporate | ⬇ |
As intermolecular forces get WEAKER:
Property | What happens? |
|---|---|
Boiling point | ⬇ |
Viscosity | ⬇ |
Surface tension | ⬇ |
Vapor pressure | ⬆ |
Volatility | ⬆ |
Ability to evaporate | ⬆ |
🧠 Memorize this chain:
Strong IMF
→ molecules stick together more
→ harder to separate
→ harder to evaporate
→ LOW vapor pressure
→ LOW volatility
→ need more heat to boil
→ HIGH boiling point
At the same time:
→ molecules resist flowing
→ HIGH viscosity
→ molecules at the surface are pulled inward strongly
→ HIGH surface tension
This one chain answers a TON of conceptual questions.
2. Types of Intermolecular Forces
Your three major ones:
London dispersion
Present in ALL atoms and molecules.
Dipole-dipole
Present between polar molecules.
Hydrogen bonding
Special dipole-dipole interaction when:
H is bonded directly to N, O, or F.
Think:
H–N, H–O, H–F
Quick identification pattern
Every molecule: dispersion
Polar molecule: dispersion + dipole-dipole
H attached to N/O/F: dispersion + dipole-dipole + hydrogen bonding
3. Dispersion Force Patterns
Dispersion forces depend on how easily the electron cloud can be distorted — polarizability.
Your slides emphasize:
More electrons → greater polarizability → stronger dispersion forces
So, generally:
larger electron cloud / more electrons
→ stronger dispersion
→ stronger IMF
→ higher BP
Molecular shape matters too!
Your slides specifically show that molecular shape affects dispersion forces.
More opportunity for molecules to contact each other can produce stronger attractions than a more compact structure.
So when comparing similar molecules, don't ONLY look at mass.
Think:
electrons + molecular shape
4. Polarity Pattern
This is another big exam area.
A molecule having polar bonds does NOT necessarily mean the entire molecule is polar.
You must look at:
bond polarity + molecular geometry
Example: CO₂
O=C=O
The bonds are polar.
But the molecule is symmetrical.
The dipoles cancel.
➡ Nonpolar
BF₃
Symmetrical trigonal planar.
Dipoles cancel.
➡ Nonpolar
H₂O
Bent.
Dipoles do NOT cancel.
➡ Polar
🧠 Pattern:
Symmetrical molecule + identical surrounding atoms
→ dipoles may cancel
→ molecule can be nonpolar
Asymmetrical molecule
→ dipoles are less likely to cancel
→ molecule can be polar
Don't use symmetry alone blindly, though—look at the actual molecular geometry and dipoles.
5. Polarity → IMF → Physical Property
Expect questions that require multiple steps.
For example:
Which substance has the higher boiling point?
Don't immediately think about boiling point.
Work backward:
Step 1
Determine polarity.
Step 2
Determine intermolecular forces.
Step 3
Compare IMF strength.
Step 4
Translate IMF strength into the requested property.
Example:
CH₃OH
has O–H
→ hydrogen bonding
→ stronger IMF
→ harder to separate molecules
→ higher BP / lower VP / higher viscosity / higher surface tension
This reasoning pattern is more important than simply memorizing individual compounds.
6. Boiling Point vs. Vapor Pressure
These move in OPPOSITE directions.
Strong IMF:
BP ↑
but
VP ↓
Weak IMF:
BP ↓
but
VP ↑
🧠 Think:
If molecules easily escape, vapor pressure is high and you don't need as much heat to make them boil.
7. Temperature vs. Vapor Pressure
These move in the SAME direction.
Temperature ↑ → Vapor pressure ↑
Why?
Higher temperature gives molecules more energy.
More molecules escape into the gas phase.
Therefore vapor pressure increases.
So:
T ↑ → VP ↑
and
T ↓ → VP ↓
8. What Actually Causes Boiling?
This definition is worth memorizing exactly conceptually:
A liquid boils when its vapor pressure equals the external atmospheric pressure.
Therefore:
VP = atmospheric pressure → BOILING
9. Atmospheric Pressure vs. Boiling Point
Atmospheric pressure ↓ → boiling point ↓
Atmospheric pressure ↑ → boiling point ↑
Why?
At lower external pressure, the liquid doesn't need to achieve as high a vapor pressure before:
VP = external pressure
So it can boil at a lower temperature.
High altitude pattern:
Altitude ↑
→ atmospheric pressure ↓
→ boiling point ↓
Your slides' Leadville, Colorado octane problem applies this relationship.
10. Volatility Pattern
Volatile = evaporates readily.
HIGH volatility:
weak IMF
easy evaporation
high vapor pressure
low boiling point
LOW volatility:
strong IMF
difficult evaporation
low vapor pressure
high boiling point
🧠 Memorize:
Volatility and vapor pressure go together.
Volatility and boiling point go opposite.
11. Viscosity Pattern
Viscosity = resistance to flow.
IMF ↑ → viscosity ↑
Stronger attractions make it more difficult for molecules to move past one another.
Therefore:
strong IMF → slow flow
weak IMF → easier flow
12. Surface Tension Pattern
IMF ↑ → surface tension ↑
Strongly attracted molecules resist spreading apart/increasing the liquid's surface area.
Therefore:
strong IMF → high surface tension
🔥 13. Phase Change Pattern
Memorize the direction:
SOLID → LIQUID → GAS
Particles become:
more separated
more mobile
more disordered
Going this direction requires energy.
Therefore:
Melting: solid → liquid
Vaporization: liquid → gas
Sublimation: solid → gas
are endothermic.
Going backward:
GAS → LIQUID → SOLID
releases energy.
Therefore:
Condensation: gas → liquid
Freezing: liquid → solid
Deposition: gas → solid
are exothermic.
14. Entropy Pattern During Phase Changes
Your slides connect phase changes with molecular randomness, ΔS.
Conceptually:
Solid → Liquid → Gas
Randomness increases.
Therefore:
entropy increases
Gas → Liquid → Solid
Randomness decreases.
Therefore:
entropy decreases
So:
Change | ΔS |
|---|---|
Melting | + |
Vaporization | + |
Sublimation | + |
Freezing | − |
Condensation | − |
Deposition | − |
15. Energy Needed for Phase Changes
Your slides define:
ΔHfus = energy needed for solid → liquid
ΔHvap = energy needed for liquid → gas
ΔHsub = energy needed for solid → gas
And using Hess's Law:
ΔHsub = ΔHfus + ΔHvap
Conceptually this makes sense because:
solid → liquid → gas
combines fusion and vaporization.
🧊 CHAPTER 12 — SOLID PATTERNS
16. Crystalline vs. Amorphous
Crystalline
organized + repeating + long-range order
Amorphous
no regular three-dimensional arrangement
Examples in your slides:
glass
rubber
🧠 Think:
Crystal = organized
Amorphous = irregular
17. Four Types of Crystalline Solids
Know what occupies/holds the solid together.
Ionic
ions
Held by electrostatic attractions.
Molecular
molecules
Held together by intermolecular forces.
Covalent network
atoms connected through an extensive network of covalent bonds
Metallic
metal atoms
with shared/delocalized electrons — the electron-sea idea.
This gives metals good:
conductivity + malleability.
18. Unit Cell Pattern
This table is worth straight-up memorizing.
Structure | Atoms | Coordination # | Packing |
|---|---|---|---|
SC | 1 | 6 | 52% |
BCC | 2 | 8 | 68% |
FCC | 4 | 12 | 74% |
HCP | — | 12 | 74% |
Pattern:
SC → BCC → FCC
Coordination:
6 → 8 → 12
Packing:
52% → 68% → 74%
So increasing coordination corresponds here to tighter packing.
19. FCC and HCP Pattern
Both are closest-packed structures.
Therefore both have:
Coordination number = 12
and
Packing efficiency = 74%
Your slides identify:
FCC = cubic closest-packed (CCP)
20. Counting Atoms — Pattern
You should immediately recognize:
Corner
belongs to 8 unit cells
→ contributes 1/8
Face
belongs to 2 unit cells
→ contributes 1/2
Body center
completely inside
→ contributes 1
Therefore:
SC = 1 atom
BCC = 2 atoms
FCC = 4 atoms
🧪 CHAPTER 13 — SOLUTION PATTERNS
21. Solute vs. Solvent
Solvent
Component present to the greater extent
Solute
Component present to the lesser extent
A solution is:
homogeneous
meaning composition is uniform throughout.
22. Solubility & Intermolecular Forces
Your slides use CCl₄ and benzene as an example of two nonpolar liquids that are miscible.
The important conceptual connection is:
Similar intermolecular-force environments can favor mixing.
Two liquids that are completely soluble in each other in all proportions are:
miscible
23. Saturated vs. Supersaturated
Saturated
Maximum equilibrium amount of dissolved solute.
At equilibrium:
dissolving ⇌ crystallizing
Supersaturated
Contains more than the equilibrium amount of dissolved solute.
⭐ 24. Gas Solubility vs. Temperature
This is a major pattern.
Temperature ↑ → gas solubility ↓
Temperature ↓ → gas solubility ↑
So gases generally stay dissolved better at lower temperatures.
🧠 Gases don't like being hot in solution.
25. Gas Solubility vs. Pressure
The opposite relationship:
Pressure ↑ → gas solubility ↑
Pressure ↓ → gas solubility ↓
This is the basis of Henry's Law in your slides.
Think about soda:
Closed soda
high pressure
→ more CO₂ remains dissolved
Open soda
pressure drops
→ CO₂ solubility decreases
→ CO₂ escapes.
⭐ 26. Temperature vs. Pressure — Don't Mix Them Up
For gas solubility:
Change | Gas solubility |
|---|---|
Temperature ↑ | ⬇ |
Temperature ↓ | ⬆ |
Pressure ↑ | ⬆ |
Pressure ↓ | ⬇ |
🧠 Shortcut:
Cold + pressure = gas stays dissolved.
27. Colligative Properties
Colligative properties depend on:
NUMBER OF DISSOLVED PARTICLES
NOT their chemical identity.
Your four are:
Vapor-pressure lowering
Boiling-point elevation
Freezing-point depression
Osmotic pressure
This is one of the most important concepts in Chapter 13.
⭐ 28. THE MASTER COLLIGATIVE PROPERTY PATTERN
Add a nonvolatile solute to a solvent:
Vapor pressure ↓
Boiling point ↑
Freezing point ↓
This is VERY testable.
Write this on your scratch paper:
VP ↓ | BP ↑ | FP ↓
29. Why Vapor Pressure Decreases
Pure solvent:
Lots of solvent molecules available at the surface to escape.
Add nonvolatile solute:
The solvent's mole fraction decreases.
Therefore:
vapor pressure decreases.
This is represented in your slides by Raoult's Law.
30. Why Boiling Point Goes UP
Remember:
Boiling happens when:
vapor pressure = atmospheric pressure
Adding nonvolatile solute lowers vapor pressure.
So now the solution needs a higher temperature to reach the required vapor pressure.
Therefore:
Solute added → VP ↓ → BP ↑
This chain is worth understanding rather than memorizing separately.
31. Why Freezing Point Goes DOWN
Adding solute interferes with the solvent's ability to form its solid phase.
Therefore a lower temperature is needed for freezing.
Solute added → FP ↓
Hence:
freezing-point depression
⭐ 32. Number of Particles Matters
Colligative properties depend on particle number.
Your slides introduce the van't Hoff factor, i for this reason.
Idealized example:
NaCl
NaCl → Na⁺ + Cl⁻
One formula unit gives two particles.
So approximately:
i = 2
A nonelectrolyte that doesn't dissociate:
i = 1
Therefore, at the same appropriate concentration, a solute producing more dissolved particles has a larger colligative effect.
Meaning:
more particles
→ greater VP lowering
→ greater BP elevation
→ greater FP depression
→ greater osmotic pressure
Your slides also warn that real electrolyte solutions can deviate from ideal values because of ion pairs.
33. Molality vs. Molarity — Conceptual Difference
Molarity
mol solute / L solution
Depends on volume.
Molality
mol solute / kg solvent
Depends on mass.
Your slides emphasize:
Molality is temperature-independent.
Why?
Mass doesn't change simply because temperature changes.
Molarity can change with temperature because solution volume can change.
Percent by mass is also temperature-independent.
34. Osmosis Pattern
Osmosis is movement of:
SOLVENT
through a semipermeable membrane.
Direction:
LESS concentrated → MORE concentrated
So if:
Side A = low solute concentration
Side B = high solute concentration
solvent moves:
A → B
🧠 Think:
Water moves toward MORE solute.
35. Osmotic Pressure Pattern
Osmotic pressure is the pressure needed to stop osmosis.
Your slides give:
Π = MRT
So conceptually:
Concentration ↑ → osmotic pressure ↑
and, according to the equation:
Temperature ↑ → osmotic pressure ↑
For particle-count effects, the van't Hoff factor is relevant when dissociation is included.
🧠 MASTER PATTERN MAP
This is the section I'd memorize right before the exam.
IMF
IMF ↑
→ BP ↑
→ viscosity ↑
→ surface tension ↑
→ VP ↓
→ volatility ↓
Temperature & vapor pressure
Temperature ↑ → VP ↑
Atmospheric pressure
Atmospheric pressure ↓ → BP ↓
Phase
Solid → Liquid → Gas
→ energy absorbed
→ entropy ↑
Gas → Liquid → Solid
→ energy released
→ entropy ↓
Gas solubility
Temperature ↑ → gas solubility ↓
Pressure ↑ → gas solubility ↑
Add nonvolatile solute
VP ↓
BP ↑
FP ↓
More dissolved particles
→ larger colligative effect
→ BP elevation ↑
→ FP depression ↑
→ osmotic pressure ↑
Osmosis
Solvent: low solute concentration → high solute concentration
Unit cells
SC → BCC → FCC
Atoms:
1 → 2 → 4
Coordination:
6 → 8 → 12
Packing:
52 → 68 → 74%
🚨 CONCEPTUAL QUESTIONS I WOULD EXPECT
Make sure you can answer questions like:
“Which compound has the highest boiling point?”
→ Identify IMF.
“Which has the highest vapor pressure?”
→ Look for weaker IMF.
“Which is most volatile?”
→ Weakest attractions / high VP.
“Which has the greatest surface tension?”
→ Strongest IMF.
“Which has the greatest viscosity?”
→ Strongest IMF.
“What happens to vapor pressure when temperature increases?”
→ Increases.
“What happens to boiling point when atmospheric pressure decreases?”
→ Decreases.
“What happens when a nonvolatile solute is added?”
→ VP ↓, BP ↑, FP ↓.
“What happens to gas solubility when temperature increases?”
→ Decreases.
“What happens to gas solubility when pressure increases?”
→ Increases.
“Which solution has the greatest colligative effect?”
→ Look for the greatest number of dissolved particles.
“Which direction does water move during osmosis?”
→ Toward the more concentrated solution.
“Which unit cell is most tightly packed?”
→ FCC among SC/BCC/FCC; FCC and HCP both have 74% packing in your slides.
“Which unit cell has coordination number 8?”
→ BCC.
“Which phase has the greatest molecular randomness?”
→ Gas.
⭐ Five lines I want you to KNOW cold
If you only had 60 seconds before walking into the exam, memorize:
Strong IMF → BP ↑, viscosity ↑, surface tension ↑, VP ↓, volatility ↓
Temperature ↑ → vapor pressure ↑
Atmospheric pressure ↓ → boiling point ↓
Gas solubility: temperature ↑ = solubility ↓; pressure ↑ = solubility ↑
Add nonvolatile solute → vapor pressure ↓, boiling point ↑, freezing point ↓
Those five patterns alone connect a huge portion of the conceptual material across your slides.
Yes — this is the version I would actually study from for the conceptual portion. Instead of long definitions, I'm organizing Chapters 11–13 into patterns you can memorize and then apply to multiple-choice questions. Everything below is based on your three exam slide decks.
🧪 CHEM EXAM 1 — MASTER CONCEPTUAL PATTERN SHEET
⭐ 1. Intermolecular Forces — THE MOST IMPORTANT PATTERN
Stronger IMF →
Boiling point ↑
Viscosity ↑
Surface tension ↑
Vapor pressure ↓
Volatility ↓
Evaporation becomes harder
Weaker IMF →
Boiling point ↓
Viscosity ↓
Surface tension ↓
Vapor pressure ↑
Volatility ↑
Evaporation becomes easier
Why?
Strong IMF → molecules hold onto each other → harder to pull them apart.
So if a question says:
Substance A has stronger intermolecular forces than substance B...
You should IMMEDIATELY know:
A has higher BP, viscosity, surface tension AND lower VP/volatility.
⭐ 2. IMF Types
Every molecule →
London dispersion forces
ALL atoms and molecules have dispersion forces.
Polar molecule →
London dispersion + dipole-dipole
H directly bonded to N, O, or F →
London dispersion + dipole-dipole + hydrogen bonding
Memorize:
H—N, H—O, H—F = hydrogen bonding
Simply having H somewhere in the molecule is NOT enough.
CH₄ ❌
HCl ❌
CH₃OH ✅
NH₃ ✅
H₂O ✅
HF ✅
⭐ 3. London Dispersion Pattern
Your slides emphasize two things that affect dispersion forces.
More electrons →
Polarizability ↑ → dispersion forces ↑
So generally:
more electrons → stronger dispersion → BP tends to ↑
Shape also matters
Molecular shape affects how well molecules can make contact with each other.
More effective molecular contact can produce:
stronger dispersion forces
So when comparing similar nonpolar substances, think:
Number of electrons + molecular shape
⭐ 4. Molecular Polarity Pattern
Having polar bonds does NOT automatically make the molecule polar.
Think:
Bond polarity + molecular geometry → molecular polarity
Symmetrical arrangement where bond dipoles cancel →
Nonpolar molecule
Examples from your slides:
CO₂ → nonpolar
BF₃ → nonpolar
Dipoles don't cancel →
Polar molecule
Example:
H₂O → polar
Exam thought process
When you see:
"Which molecule is polar?"
Think:
Are the bonds polar? → What is the geometry? → Do the dipoles cancel?
⭐ 5. IMF → Boiling Point
IMF ↑ → BP ↑
Why?
Strong attractions mean:
more energy is required to separate molecules into the gas phase.
Therefore:
Strongest IMF = generally highest BP
⭐ 6. IMF → Vapor Pressure
These move in the OPPOSITE direction.
IMF ↑ → VP ↓
IMF ↓ → VP ↑
Why?
If molecules strongly attract one another, fewer escape into the vapor.
Memorize:
Strong IMF = High BP + Low VP
That's one of the most useful relationships on the entire exam.
⭐ 7. Vapor Pressure → Volatility
These move together:
VP ↑ → volatility ↑
VP ↓ → volatility ↓
A volatile substance escapes/evaporates easily.
Therefore:
Weak IMF → VP ↑ → volatility ↑ → BP ↓
And:
Strong IMF → VP ↓ → volatility ↓ → BP ↑
⭐ 8. Temperature → Vapor Pressure
Temperature ↑ → vapor pressure ↑
Temperature ↓ → vapor pressure ↓
Why?
Higher temperature gives molecules more energy.
More molecules can escape from liquid → gas.
Therefore:
T ↑ → evaporation easier → VP ↑
⭐ 9. When Does a Liquid Boil?
Know this definition:
Vapor pressure = external atmospheric pressure → BOILING
This explains several other patterns.
⭐ 10. Atmospheric Pressure → Boiling Point
Atmospheric pressure ↓ → BP ↓
Atmospheric pressure ↑ → BP ↑
At lower atmospheric pressure, the liquid doesn't need to develop as much vapor pressure to boil.
Therefore:
Altitude ↑ → atmospheric pressure ↓ → BP ↓
This is the conceptual idea behind the Leadville, Colorado problem in your slides.
⭐ 11. IMF → Viscosity
Viscosity = resistance to flow.
IMF ↑ → viscosity ↑
IMF ↓ → viscosity ↓
Think:
Stronger attractions → molecules have more difficulty sliding past each other → slower flow
⭐ 12. IMF → Surface Tension
IMF ↑ → surface tension ↑
IMF ↓ → surface tension ↓
Strongly attracted surface molecules are pulled inward more strongly.
Therefore:
Strong IMF = high surface tension
🔥 13. Phase Change Direction
Memorize this:
SOLID → LIQUID → GAS
Going right means:
Particle movement ↑
Particle separation ↑
Randomness/entropy ↑
Energy must be absorbed
Going left:
GAS → LIQUID → SOLID
means:
Particle movement ↓
Particle separation ↓
Randomness/entropy ↓
Energy is released
⭐ 14. Endothermic Phase Changes
Going toward gas requires energy.
Solid → liquid
Melting/Fusion
Liquid → gas
Vaporization
Solid → gas
Sublimation
Therefore:
Melting + Vaporization + Sublimation = ENDOTHERMIC
Think:
Solid → Liquid → Gas = absorb heat
⭐ 15. Exothermic Phase Changes
Going toward solid releases energy.
Gas → liquid
Condensation
Liquid → solid
Freezing
Gas → solid
Deposition
Therefore:
Condensation + Freezing + Deposition = EXOTHERMIC
Think:
Gas → Liquid → Solid = release heat
⭐ 16. Phase → Entropy
Entropy = molecular randomness/disorder.
General pattern:
Solid < Liquid < Gas
Therefore:
Solid → liquid
ΔS positive
Liquid → gas
ΔS positive
Solid → gas
ΔS positive
Going backward:
Gas → liquid
ΔS negative
Liquid → solid
ΔS negative
Gas → solid
ΔS negative
Memorize:
Toward GAS → ΔS +
Toward SOLID → ΔS −
⭐ 17. Enthalpy of Phase Changes
Know what each represents:
ΔHfus
solid → liquid
ΔHvap
liquid → gas
ΔHsub
solid → gas
And because:
solid → liquid → gas
your slides use Hess's Law:
ΔHsub = ΔHfus + ΔHvap
⭐ 18. Phase Equilibrium Pattern
Your slides give:
ΔG = ΔH − TΔS
At phase equilibrium:
ΔG = 0
Therefore:
ΔH = TΔS
This is why you can determine entropy changes from the temperature and enthalpy of a phase transition.
🧊 CHAPTER 12 — SOLIDS
⭐ 19. Crystalline vs. Amorphous
Crystalline →
Rigid + repeating + long-range order
Particles occupy specific positions in a lattice.
Amorphous →
No regular three-dimensional arrangement
Examples in your slides:
glass and rubber
Memory:
Crystal = organized
⭐ 20. Four Types of Crystalline Solids
Know what is present and what holds it together.
IONIC
ions + electrostatic attractions
MOLECULAR
molecules + intermolecular forces
Those IMFs can include:
dispersion
dipole-dipole
hydrogen bonding
COVALENT NETWORK
atoms + huge network of covalent bonds
METALLIC
metal atoms + shared/delocalized electron "sea"
This contributes to:
conductivity + malleability
⭐ 21. Unit Cell Pattern
A unit cell is:
the basic repeating structural unit of a crystalline solid
The major structures in your slides:
Simple Cubic (SC)
Body-Centered Cubic (BCC)
Face-Centered Cubic (FCC)
plus HCP
⭐ 22. SC → BCC → FCC Pattern
MEMORIZE THIS WHOLE THING:
Simple Cubic
1 atom/cell → CN 6 → 52% packed
BCC
2 atoms/cell → CN 8 → 68% packed
FCC
4 atoms/cell → CN 12 → 74% packed
So:
SC → BCC → FCC
Atoms:
1 → 2 → 4
Coordination:
6 → 8 → 12
Packing:
52 → 68 → 74%
That's a beautiful pattern to memorize instead of three separate sets of numbers.
⭐ 23. Coordination Number Pattern
Coordination number = number of nearest-neighbor atoms.
SC = 6
BCC = 8
FCC = 12
HCP = 12
In the structures shown in your slides:
Higher coordination number → tighter packing
⭐ 24. Closest Packing
Your slides give:
FCC/CCP
CN = 12
packing = 74%
HCP
CN = 12
packing = 74%
So:
FCC and HCP = closest packed = 74%
FCC corresponds to:
cubic closest packing (CCP)
⭐ 25. Atom Contribution Pattern
This is partly numerical but also very conceptual.
Corner atom →
shared by 8 cells
so contributes:
1/8
Face atom →
shared by 2 cells
so contributes:
1/2
Body-center atom →
not shared
so contributes:
1
Therefore:
Corner = 1/8
Face = 1/2
Center = 1
🧪 CHAPTER 13 — SOLUTIONS
⭐ 26. Solution Pattern
A solution is:
homogeneous
meaning composition is the same throughout.
Greater amount →
solvent
Lesser amount →
solute
There can be multiple solutes.
⭐ 27. Miscible Pattern
Two liquids are miscible when:
they are completely soluble in each other in all proportions.
Your slides use nonpolar CCl₄ and nonpolar benzene as an example.
The broader pattern supported by this section is that intermolecular forces help determine whether substances will mix.
⭐ 28. Dissolving Can Be Endothermic OR Exothermic
Don't assume dissolving always releases heat.
Your slides give:
NH₄Cl dissolving
Endothermic → solution gets cold
AlCl₃ dissolving
Exothermic → solution gets hot
Solution formation depends on breaking existing attractions and forming new attractions.
⭐ 29. Entropy Can Favor Dissolution
A negative/exothermic ΔH can favor dissolution, BUT dissolution doesn't have to be exothermic.
Your slides specifically explain that entropy matters too.
Particles in solution can have greater mobility than particles locked into a crystalline solid.
Therefore:
Dissolution can occur even when ΔHsolution is positive.
Don't use the rule:
"Endothermic substances can't dissolve." ❌
⭐ 30. Saturation Pattern
Unsaturated
Can dissolve more solute.
Saturated
Contains the maximum equilibrium amount.
At saturation:
Rate dissolving = rate crystallizing
Supersaturated
Contains:
more than the equilibrium amount of solute
⭐ 31. Gas Solubility → Temperature
SUPER IMPORTANT.
Temperature ↑ → gas solubility ↓
Temperature ↓ → gas solubility ↑
Memorize:
HOT → gas comes OUT
COLD → gas stays IN
⭐ 32. Gas Solubility → Pressure
Henry's Law:
Pressure ↑ → gas solubility ↑
Pressure ↓ → gas solubility ↓
Think:
PRESSURE PUSHES GAS INTO SOLUTION
This is exactly what your slides emphasize.
⭐ 33. Master Gas-Solubility Pattern
Put the last two together:
COLD + HIGH PRESSURE = MORE GAS DISSOLVED
and:
HOT + LOW PRESSURE = LESS GAS DISSOLVED
This is a great way to remember both simultaneously.
⭐ 34. Colligative Properties
Definition:
Properties that depend on the amount/number of dissolved particles, not their chemical identity.
Four from your slides:
1. Vapor-pressure lowering
2. Boiling-point elevation
3. Freezing-point depression
4. Osmotic pressure
🚨 35. THE BIGGEST CHAPTER 13 PATTERN
Add a nonvolatile solute:
VP ↓ | BP ↑ | FP ↓
Say it until it's automatic:
Vapor pressure DOWN
Boiling point UP
Freezing point DOWN
⭐ 36. Why Adding Solute Lowers Vapor Pressure
Add nonvolatile solute:
→ solvent mole fraction ↓
→ fewer solvent molecules contribute to vapor
→ vapor pressure ↓
This is the idea represented by Raoult's Law in your slides:
Psolution = P°solvent × Xsolvent
So conceptually:
Xsolvent ↓ → Psolution ↓
⭐ 37. Why Adding Solute Raises Boiling Point
Remember:
boiling happens when VP = atmospheric pressure
Add nonvolatile solute:
→ VP ↓
→ need more heat to raise VP enough
→ BP ↑
So memorize the causal chain:
Solute ↑ → VP ↓ → BP ↑
⭐ 38. Why Adding Solute Lowers Freezing Point
Adding solute interferes with formation of the solvent's solid phase.
Therefore:
lower temperature is required to freeze
So:
Solute ↑ → FP ↓
⭐ 39. Amount of Solute → Colligative Effect
The slides say colligative properties depend on the number of dissolved particles.
Therefore, conceptually:
More dissolved particles →
greater vapor-pressure lowering
greater boiling-point elevation
greater freezing-point depression
greater osmotic pressure
So if two otherwise comparable solutions contain different numbers of dissolved particles:
more particles = bigger effect
⭐ 40. van't Hoff Factor Pattern
The van't Hoff factor tells you about particles produced in solution.
Your slides define:
i = moles particles in solution / moles solute dissolved
For idealized:
Nonelectrolyte
Doesn't break apart.
i = 1
NaCl
NaCl → Na⁺ + Cl⁻
approximately i = 2
Therefore, more particles can produce a larger colligative effect.
BUT your slides give an important exception:
Actual electrolyte solutions can have smaller colligative effects than ideal predictions, especially at higher concentrations.
Why?
Ion pairing
Some ions remain associated, reducing the effective number of independent particles.
⭐ 41. Molarity vs. Molality Pattern
Molarity
moles solute / L solution
Volume can change with temperature.
Therefore:
Molarity can be temperature dependent
Molality
moles solute / kg solvent
Mass doesn't change because of temperature.
Therefore:
Molality is temperature independent
Percent by mass
Also based on mass.
Therefore:
Percent by mass is temperature independent
Your slides specifically point this out.
⭐ 42. Osmosis Pattern
Osmosis = movement of SOLVENT through a semipermeable membrane.
Direction:
LESS concentrated → MORE concentrated
So water/solvent moves:
low solute concentration → high solute concentration
Memory:
💧 WATER MOVES TOWARD MORE SOLUTE
Be careful: the question may try to trick you into following the solute instead.
⭐ 43. Osmotic Pressure Pattern
Osmotic pressure is:
pressure required to stop osmosis.
Your slides give:
Π = MRT
Therefore conceptually:
M ↑ → Π ↑
T ↑ → Π ↑
And particle-number effects are important for electrolyte solutions.
⭐ 44. Raoult's Law When BOTH Liquids Are Volatile
If only the solvent is volatile:
only that volatile component contributes to vapor pressure.
But if both components are volatile:
Both contribute.
Your slides show:
Ptotal = PA + PB
Therefore:
Total vapor pressure = sum of individual partial pressures
🧠 THE ENTIRE EXAM AS PATTERNS
This is the section I'd screenshot and memorize.
💪 INTERMOLECULAR FORCES
IMF ↑ → BP ↑ | viscosity ↑ | surface tension ↑ | VP ↓ | volatility ↓
🌡 TEMPERATURE & VAPOR PRESSURE
Temperature ↑ → VP ↑
🏔 ATMOSPHERIC PRESSURE
Atmospheric pressure ↓ → BP ↓
Altitude ↑ → atmospheric pressure ↓ → BP ↓
💨 VOLATILITY
VP ↑ → volatility ↑ → BP ↓
🔥 PHASE CHANGES
Solid → Liquid → Gas = energy absorbed + entropy ↑
Gas → Liquid → Solid = energy released + entropy ↓
🧊 SOLID STRUCTURES
SC → BCC → FCC
Atoms: 1 → 2 → 4
CN: 6 → 8 → 12
Packing: 52% → 68% → 74%
🧊 CLOSEST PACKING
FCC + HCP → CN 12 → 74% packed
💨 GAS SOLUBILITY
Temperature ↑ → gas solubility ↓
Pressure ↑ → gas solubility ↑
or simply:
COLD + PRESSURE = GAS STAYS DISSOLVED
🧂 ADD NONVOLATILE SOLUTE
VP ↓ | BP ↑ | FP ↓
🔢 COLLIGATIVE PROPERTIES
More dissolved particles → bigger colligative effect
Meaning:
VP lowering ↑
BP elevation ↑
FP depression ↑
osmotic pressure ↑
💧 OSMOSIS
Solvent: less concentrated → more concentrated
Water moves toward MORE solute
🌡 CONCENTRATION UNITS
Molality + mass % = temperature independent
Molarity = volume based → can change with temperature
🚨 OPPOSITE VS. SAME-DIRECTION PAIRS
This is especially useful for multiple choice.
Move in SAME direction:
IMF ↑ → BP ↑
IMF ↑ → viscosity ↑
IMF ↑ → surface tension ↑
Temperature ↑ → VP ↑
VP ↑ → volatility ↑
Atmospheric pressure ↑ → BP ↑
Gas pressure ↑ → gas solubility ↑
Particles ↑ → colligative effect ↑
Concentration ↑ → osmotic pressure ↑
Move in OPPOSITE directions:
IMF ↑ → VP ↓
IMF ↑ → volatility ↓
VP ↑ → BP ↓ (when comparing substances based on their IMF/vapor-pressure behavior)
Temperature ↑ → gas solubility ↓
Altitude ↑ → atmospheric pressure ↓
Altitude ↑ → BP ↓
Nonvolatile solute ↑ → VP ↓
Nonvolatile solute ↑ → BP ↑
Nonvolatile solute ↑ → FP ↓
🎯 THE 10 PATTERNS I WOULD KNOW WITHOUT THINKING
If your professor asks a conceptual question and you know these automatically, you'll be in great shape:
1. IMF ↑ → BP ↑, viscosity ↑, surface tension ↑, VP ↓, volatility ↓
2. More electrons → polarizability ↑ → dispersion forces ↑
3. Temperature ↑ → vapor pressure ↑
4. Atmospheric pressure ↓ → boiling point ↓
5. Solid → liquid → gas = heat absorbed + entropy ↑
6. SC → BCC → FCC = atoms 1→2→4, CN 6→8→12, packing 52→68→74%
7. Temperature ↑ → gas solubility ↓
8. Pressure ↑ → gas solubility ↑
9. Add nonvolatile solute → VP ↓, BP ↑, FP ↓
10. More dissolved particles → larger colligative effect
And one bonus because professors LOVE reversing it:
💧 OSMOSIS: solvent moves from LESS solute → MORE solute
Those are the cause-and-effect relationships running through essentially all of the conceptual material emphasized in your Chapter 11, 12, and 13 slides.