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AP Chemistry Unit 9 Visual Review
A topic-by-topic visual walkthrough of Thermodynamics & Electrochemistry — entropy, Gibbs free energy, galvanic and electrolytic cells.
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TOPIC 9.1
Introduction to Entropy
Entropy (S) = dispersal of energy
Entropy measures how spread out matter
and energy are — the number of ways
a system can be arranged.
More microstates ⇒ higher entropy.
Entropy INCREASES when…
• solid → liquid → gas
• a solid/liquid dissolves
• moles of GAS increase in a reaction
• temperature rises
Low S → high S
ordered (low S)
→
dispersed (high S)
Gases spread to fill their
container — many more
arrangements available.
Entropy = energy & matter dispersal — it rises with more gas, higher T, and dissolving.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.2
Absolute Entropy and Entropy Change
ΔS°_rxn = ΣS°(products) − ΣS°(reactants)
Using standard entropies
S° values (J/mol·K) are tabulated for
each substance. Weight each by its
coefficient, then subtract.
Predict the sign first: if gas moles rise,
ΔS is usually positive.
Absolute entropy & the 3rd law
A perfect crystal at 0 K has S = 0
(only one microstate).
So every substance has a positive
absolute S° above 0 K.
Larger, more complex molecules → higher S°.
ΔS° = ΣS°(products) − ΣS°(reactants) ; predict the sign from changes in gas moles.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.3
Gibbs Free Energy & Thermodynamic Favorability
ΔG° = ΔH° − TΔS°
WHEN IS ΔG NEGATIVE (FAVORABLE)?
ΔH −, ΔS +
Favorable at ALL temperatures
ΔH +, ΔS −
Never favorable (nonspontaneous at all T)
ΔH −, ΔS −
Favorable at LOW temperature only
ΔH +, ΔS +
Favorable at HIGH temperature only
A process is thermodynamically favorable when ΔG < 0 — temperature can flip the sign.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.4
Thermodynamic and Kinetic Control
Favorable ≠ fast
ΔG < 0 tells you a reaction CAN happen,
not how fast it will. Rate is governed
by activation energy (kinetics).
Thermodynamics = direction; kinetics = speed.
Kinetically stable
A large activation energy can make a
favorable reaction immeasurably slow.
Example: diamond → graphite has
ΔG < 0 but essentially never occurs.
A catalyst changes rate, not favorability
A catalyst lowers Eₐ so a favorable reaction proceeds faster — but it does NOT change ΔG, ΔH, or K.
It cannot make an unfavorable reaction (ΔG > 0) become favorable; it only speeds up reaching equilibrium.
Same start and end points → same thermodynamics.
⏱Thermodynamics says whether; kinetics says how fast — catalysts change only the speed.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.5
Free Energy and Equilibrium
ΔG° = −RT ln K
ΔG° < 0
K > 1
Products favored at
equilibrium.
Reaction lies to the
right (more products).
ΔG° = 0
K = 1
Comparable amounts
of both sides.
Neither side strongly
favored.
ΔG° > 0
K < 1
Reactants favored at
equilibrium.
Reaction lies to the
left (more reactants).
ΔG° = −RT ln K — negative ΔG° means K > 1 and products are favored.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.6
Free Energy of Dissolution
Dissolving is a balance of ΔH and ΔS
Whether a salt dissolves is decided by ΔG = ΔH − TΔS for the dissolution process. Both terms can help
or oppose dissolving, and temperature tips the balance through the TΔS term.
Enthalpy of solution (ΔH)
Breaking lattice + solute–solvent
attractions (hydration) compete.
Can be endo- or exothermic
depending on which dominates.
Cold packs: endothermic dissolving.
Entropy of solution (ΔS)
Usually POSITIVE — ions spread out
from an ordered lattice into solution.
This positive ΔS often drives
endothermic salts to dissolve anyway.
TΔS grows with temperature.
Dissolving is governed by ΔG = ΔH − TΔS — positive ΔS often drives even endothermic salts in.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.7
Coupled Reactions
Pairing an unfavorable step with a favorable one
An unfavorable reaction (ΔG > 0) can be driven by COUPLING it to a strongly favorable one (ΔG ≪ 0),
as long as they share a common intermediate. The ΔG values ADD; the total must be negative.
How coupling works
Rxn 1: A → B, ΔG = +20 kJ
Rxn 2: B → C, ΔG = −50 kJ
Overall A → C: ΔG = −30 kJ
→ now FAVORABLE.
B is the shared intermediate.
Real-world coupling
Living cells couple unfavorable
reactions to ATP hydrolysis
(ΔG ≪ 0) to drive biosynthesis.
Metallurgy couples ore reduction
to CO → CO₂ oxidation.
Couple reactions so the ΔG values add to a negative total via a shared intermediate.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.8
Galvanic and Electrolytic Cells
GALVANIC (VOLTAIC) CELL
V
e⁻ →
salt bridge
ANODE (−)
oxidation
CATHODE (+)
reduction
Galvanic: spontaneous
ΔG < 0, E°_cell > 0. A favorable redox
reaction generates electricity —
this is a battery.
Electrons flow anode → cathode.
Electrolytic: driven
ΔG > 0, E°_cell < 0. An external
power source forces a nonspontaneous
reaction. Both use "an ox, red cat":
ANode = OXidation, REDuction at CAThode.
Galvanic = spontaneous (E° > 0); electrolytic = driven (E° < 0) — oxidation always at the anode.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.9
Cell Potential and Free Energy
ΔG° = −nFE°_cell
The symbols
n = moles of electrons transferred
F = Faraday's constant, 96,485 C/mol
E°_cell = standard cell potential (V)
E°_cell = E°_cathode − E°_anode
Use standard reduction potentials for both,
then subtract (do not flip signs of E°).
Sign relationship
E°_cell > 0 ⇒ ΔG° < 0 ⇒ spontaneous
(galvanic).
E°_cell < 0 ⇒ ΔG° > 0 ⇒ nonspontaneous
(electrolytic).
A bigger positive E° means a stronger
driving force (more negative ΔG°).
ΔG° = −nFE° — positive E° ⇒ negative ΔG° ⇒ spontaneous cell.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.10
Cell Potential Under Nonstandard Conditions
Concentration shifts the cell potential (Q vs. K)
Away from standard conditions, E depends on the reaction quotient Q. As the cell runs, reactants deplete
and products build up, so Q rises toward K and E falls — reaching E = 0 (dead battery) at equilibrium.
Qualitative (Le Châtelier) view
↑ reactant conc. (or ↓ product):
Q < K → E > E° (bigger push).
↑ product conc. (or ↓ reactant):
Q > K → E < E° (smaller push).
At equilibrium Q = K and E = 0.
Nernst-style relationship
E = E° − (RT/nF) ln Q.
Larger Q lowers E; smaller Q raises it.
A concentration cell (same electrodes,
different concentrations) has E° = 0 but
still produces voltage until Q = 1.
Concentration changes E: Q < K raises it, Q > K lowers it , E = 0 at equilibrium.
The Review Hub · AP Chemistry Unit 9
TOPIC 9.11
Electrolysis and Faraday's Law
Charge → moles of electrons → moles of product
In electrolysis, the amount of substance produced is proportional to the charge passed. Track it with a
stoichiometry chain: current × time gives charge, then convert through the balanced half-reaction.
q = I·t (C)
→
÷ F = mol e⁻
→
÷ n = mol product
→
× M = grams
Example: 2.0 A for 30 min
q = 2.0 × 1800 = 3600 C → 3600 / 96,485 = 0.0373 mol e⁻. For Cu²⁺ + 2e⁻ → Cu: 0.0187 mol Cu = 1.19 g.
Faraday's law: q = I·t → mol e⁻ (÷F) → mol product (÷n) → mass .
The Review Hub · AP Chemistry Unit 9
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How to use the visual review
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This is great for review the night before the exam — fast, visual, and covers everything you need to remember about Unit 9's thermodynamics and electrochemistry content.