Part 1 of 7 — Electrolytic Cells and External Voltage
Topics in This Part
Section
🔧 How Electrolysis Works
The Key Idea
Requirements
Electrode Conventions in Electrolytic Cells
⚡ Energy Considerations
🔑 Key Concept: Mastering this material will strengthen your foundation for both the AP Chemistry exam and more advanced chemistry topics.
What You'll Master in Part 1
Understanding the core concepts covered in Part 1
Applying these ideas to solve practice problems
Building toward AP exam readiness for this topic
🔧 How Electrolysis Works
The Key Idea
An external voltage source (battery or power supply) pushes electrons in the opposite direction from what they would naturally go, driving a non-spontaneous reaction forward.
Requirements
An external power source providing voltage > ∣E°cell∣
An electrolyte (molten salt or aqueous solution) to carry current via ions
Two electrodes (often inert — Pt or graphite)
Electrode Conventions in Electrolytic Cells
Property
Galvanic Cell
Electrolytic Cell
Anode
Oxidation ✓
Oxidation ✓
⚡ Energy Considerations
The Thermodynamic Reality
For any electrolysis reaction, the numbers tell the story:
Quantity
Value
Meaning
ΔG
>0
Non-spontaneous — needs energy input
E
Electrolysis Concept Quiz 🎯
Electrolytic Cell Basics 🔽
Electrolysis Energy 🧮
1) The electrolysis of water has E°=−1.23 V. What minimum voltage must be applied? (in V, positive value)
2) If the overpotential is 0.5 V, what is the actual applied voltage needed? (in V)
3) Is the ΔG for electrolysis positive or negative? (type "positive" or "negative")
Round all answers to 3 significant figures.
Exit Quiz — Electrolysis Basics ✅
Part 2: Electrolytic vs Galvanic Cells
🔄 Galvanic vs. Electrolytic Cells
Part 2 of 7 — A Detailed Comparison
Topics in This Part
Section
⚖️ Complete Comparison
What STAYS THE SAME
What CHANGES
🔋 Recharging: Galvanic → Electrolytic
⬇️ Discharging (Galvanic Mode)
🔑 Key Concept: Mastering this material will strengthen your foundation for both the AP Chemistry exam and more advanced chemistry topics.
What You'll Master in Part 2
Understanding the core concepts covered in Part 2
Applying these ideas to solve practice problems
Building toward AP exam readiness for this topic
⚖️ Complete Comparison
Feature
Galvanic Cell
Electrolytic Cell
Spontaneous?
Yes ()
Part 3: Electrolysis of Molten Salts
🧪 Electrolysis of Molten Salts and Aqueous Solutions
Part 3 of 7 — Predicting Products
Topics in This Part
Section
🔋 Electrolysis of Molten Salts
Why Molten?
Simple Case: Molten NaCl
Molten Salt Rule
Examples
🔑 Key Concept: Mastering this material will strengthen your foundation for both the AP Chemistry exam and more advanced chemistry topics.
What You'll Master in Part 3
Understanding the core concepts covered in Part 3
Applying these ideas to solve practice problems
Building toward AP exam readiness for this topic
🔋 Electrolysis of Molten Salts
Why Molten?
Ionic compounds must be in a molten (liquid) state or dissolved in water to conduct electricity. In the solid state, ions are locked in place and cannot migrate.
Simple Case: Molten NaCl
At the cathode (reduction):
Part 4: Electrolysis of Aqueous Solutions
⚖️ Faraday's Laws of Electrolysis
Part 4 of 7 — Quantitative Electrolysis: mol = It/(nF)
Topics in This Part
Section
📏 Faraday's Laws
The Key Equation
Step-by-Step Problem Solving
Important: What Is n?
🧪 Worked Example
🔑 Key Concept: Mastering this material will strengthen your foundation for both the AP Chemistry exam and more advanced chemistry topics.
What You'll Master in Part 4
Understanding the core concepts covered in Part 4
Applying these ideas to solve practice problems
Building toward AP exam readiness for this topic
📏 Faraday's Laws
The Key Equation
Part 5: Faraday's Laws of Electrolysis
🏭 Electroplating and Industrial Applications
Part 5 of 7 — Real-World Electrolysis
Topics in This Part
Section
🔋 Electroplating
Setup
How It Works
Controlling Thickness
Common Plating Metals
🔑 Key Concept: Mastering this material will strengthen your foundation for both the AP Chemistry exam and more advanced chemistry topics.
What You'll Master in Part 5
Understanding the core concepts covered in Part 5
Applying these ideas to solve practice problems
Building toward AP exam readiness for this topic
🔋 Electroplating
Electroplating is the process of coating an object with a thin layer of metal using electrolysis.
Setup
Cathode: the object to be plated (e.g., a spoon)
Anode: a piece of the plating metal (e.g., silver)
Electrolyte: a solution of the plating metal ions (e.g., AgNO₃)
🔑 Key Rule: The object you want to coat is ALWAYS the cathode (where metal deposits). The plating metal is the anode (where it dissolves).
How It Works
At the anode: plating metal dissolves →
Part 6: Problem-Solving Workshop
🛠️ Problem-Solving Workshop — Electrolysis and Faraday
Part 6 of 7 — Practice and Integration
Practice Makes Perfect
This workshop features multi-step problems that mirror the AP Chemistry exam format. Each problem requires you to combine concepts from previous parts and show your work clearly.
🔑 Why this matters: The AP Chemistry exam rewards students who can apply concepts to unfamiliar problems — structured practice is the best preparation.
What You'll Master in Part 6
Working through complete multi-step problems from start to finish
Building problem-solving strategies you can apply on the AP exam
Identifying which concepts to apply and in what order
🛠️ Problem-Solving Checklist
For Faraday's Law Problems
⚠️ First Step Always: Convert time to seconds before calculating!
✅ Convert time to seconds (1 min=60 s, )
Part 7: Synthesis & AP Review
🎯 Synthesis & AP Review — Electrolytic Cells and Faraday
Part 7 of 7 — Complete Mastery
Bringing It All Together
This comprehensive review connects every concept from Parts 1–6 with AP-style problems. The questions are designed to mirror what you'll see on the actual exam — multi-step, multi-concept, and requiring clear written explanations.
🔑 Why this matters: AP Chemistry exam questions rarely test one concept in isolation — success requires connecting ideas across topics.
What You'll Master in Part 7
Solving AP-style questions that integrate multiple concepts from this unit
Writing clear, concise explanations using proper chemistry terminology
Identifying and avoiding common AP exam traps and mistakes
📋 Master Summary
Galvanic vs. Electrolytic
Galvanic
Electrolytic
ΔG
Cathode
Reduction ✓
Reduction ✓
Anode sign
− (negative)
+ (positive)
Cathode sign
+ (positive)
− (negative)
Spontaneous?
Yes
No
AN OX and RED CAT still apply! Oxidation is always at the anode, reduction at the cathode — regardless of cell type.
cell
<0
Negative cell potential
External voltage required
≥∣Ecell∣
Must overcome the thermodynamic barrier
🔑 Bottom line: You have to pay with electrical energy to make an electrolysis reaction go.
⚠️ Overpotential — The Hidden Cost
In practice, the actual voltage needed is higher than the thermodynamic minimum. This extra voltage is called overpotential — it overcomes kinetic barriers at the electrode surfaces.
Vapplied=∣Ecell∣+ηoverpotential
💡 Overpotential depends on the electrode material, current density, and which gases are being produced. It's why real electrolysis always costs more energy than theory predicts.
🧪 Example: Electrolysis of Water
2H2O(l)→2H2(g)+O2(g)
Parameter
Value
E°
−1.23 V (non-spontaneous)
Minimum applied voltage
1.23 V
Typical actual voltage
∼1.8−2.0 V
Overpotential
∼0.6−0.8 V
📏 This reaction is how we produce hydrogen gas for fuel cells — electrolysis and fuel cells are reverse processes of each other!
🔑 AP Must-Know: AN OX / RED CAT applies to ALL electrochemical cells. This never changes.
What CHANGES
Sign of anode/cathode (reversed!)
Direction of energy flow (chemical ↔ electrical)
Spontaneity (spontaneous vs. forced)
💡 Memory Aid: In galvanic cells the anode is (−) and cathode is (+). In electrolytic cells, it flips: anode is (+) and cathode is (−).
🔋 Recharging: Galvanic → Electrolytic
Every rechargeable battery lives a double life — it's a galvanic cell when discharging and an electrolytic cell when charging. The chemistry literally runs in reverse!
⬇️ Discharging (Galvanic Mode)
Pb(s)+PbO2(s)+2H2SO4(aq)→2PbSO4(s)+2H2O(l)
Property
Value
Spontaneous?
✅ Yes
E
Positive (>0)
Energy
Chemical → Electrical (powers your car)
⬆️ Charging (Electrolytic Mode)
2PbSO4(s)+2H2
Property
Value
Spontaneous?
❌ No
E
Negative (<0)
Energy
Electrical → Chemical (from the charger)
🔀 What Swaps During Charging?
Discharging
Charging
Anode
Electrode A
Electrode B
Cathode
Electrode B
Electrode A
Electron flow
A → B
B → A
Reaction direction
Forward
Reverse
⚠️ AP Trap: The electrodes that were anode/cathode during discharge swap roles during charging. The chemistry reverses, and so do the labels!
Galvanic vs. Electrolytic Quiz 🎯
Cell Comparison 🔽
Quick Comparison 🧮
Answer with "galvanic" or "electrolytic":
1) ΔG < 0 and E > 0 describes a _____ cell.
2) Requires an external power source: _____ cell.
3) The anode is positive in a _____ cell.
Exit Quiz — Galvanic vs. Electrolytic ✅
Na+(l)+e−→Na(l)
At the anode (oxidation):2Cl−(l)→Cl2(g)+2e−
Molten Salt Rule
In a molten salt, there are only two ions present. The prediction is straightforward:
Cation is reduced at the cathode → metal forms
Anion is oxidized at the anode → nonmetal forms
Examples
Salt
Cathode Product
Anode Product
NaCl
Na(l)
Cl₂(g)
MgCl₂
Mg(l)
Cl₂(g)
Al₂O₃
Al(l)
O₂(g)
CaBr₂
Ca(l)
Br₂(g)
🧪 Electrolysis of Aqueous Solutions
The Complication: Water Competes!
In aqueous solutions, water can be oxidized or reduced instead of the dissolved ions. You must compare the reduction potentials to predict which reaction occurs.
📋 Key Reduction Potentials to Know
Half-Reaction
E° (V)
Au3++3e−→Au
+1.50
Ag++e−→Ag
+0.80
Cu2++2e−→Cu
+0.34
2H2O+2e−→H2
Ni2++2e−→Ni
−0.26
Zn2++2e−→Zn
−0.76
Al3++3e−→Al
−1.66
Na++e−→Na
−2.71
K++e−→K
−2.93
🔑 The decision rule: Whichever half-reaction has the more positive (less negative)E° is easier to reduce and wins the competition at the cathode.
⬇️ At the Cathode — Which Gets Reduced?
Water's reduction potential is E°=−0.83 V. Compare the metal ion to this benchmark:
Metal Ion E°
What Happens
Examples
>−0.83 V
Metal deposits
Cu²⁺, Ag⁺, Au³⁺, Ni²⁺
<−0.83 V
H₂ gas forms
Na⁺, K⁺, Al³⁺
⬆️ At the Anode — Which Gets Oxidized?
Water's oxidation potential is E°=+1.23 V.
Anion Type
What Happens
Examples
Simple halides
Anion is oxidized
Cl⁻ → Cl₂, Br⁻ → Br₂, I⁻ → I₂
Oxyanions or F⁻
Water is oxidized → O₂
SO₄²⁻, NO₃⁻, F⁻
⚠️ Why do halides win even though their E° is less favorable? Overpotential! The kinetic barrier for O₂ production is high, so in practice, halides get oxidized first.
🗺️ Quick Decision Flowchart
Step
Question
If YES
If NO
1
Is it a molten salt?
Cation → metal, Anion → nonmetal
Go to step 2
2
Cathode: Is metal E° above −0.83 V?
Metal deposits
H₂ forms
3
Anode: Is anion a simple halide?
Halide is oxidized
O₂ forms
Electrolysis Product Quiz 🎯
📋 Reference: Water cathode E°=−0.83 V | Water anode E°=+1.23 V
Rules: Metal E° above −0.83 V → metal deposits. Below → H₂. Simple halides → oxidized. Oxyanions → O₂.
Product Identification 🧮
📋 Reference: Ag⁺ E° = +0.80 V | Cu²⁺ = +0.34 V | Ni²⁺ = −0.26 V | Zn²⁺ = −0.76 V | Water cathode = −0.83 V | Na⁺ = −2.71 V | K⁺ = −2.93 V | Mg²⁺ = −2.37 V
What gas or metal is produced at the cathode during electrolysis of:
1) Molten MgCl₂ (cathode product)?
2) Aqueous AgNO₃ (cathode product — is Ag⁺ or H₂O reduced)?
3) Aqueous KI (anode product — is I⁻ or H₂O oxidized)?
Exit Quiz — Electrolysis Products ✅
mol of substance=nFIt
Symbol
Meaning
Units
I
Current
Amperes (A) = C/s
t
Time
Seconds (s)
n
Electrons per ion in the half-reaction
—
F
Faraday's constant
96,485 C/mol e−
It
Total charge
Coulombs (C)
Step-by-Step Problem Solving
Calculate total charge:q=It (coulombs)
Find moles of electrons:mol e−=q/F=It/F
Use stoichiometry: relate moles of electrons to moles of substance using n
Convert to mass if needed: m=mol×M
Important: What Is n?
n = number of electrons in the balanced half-reaction
🔑 Key Point: Always write the half-reaction first to determine n. Getting n wrong is the most common Faraday’s law mistake.
Half-Reaction
n
Ag++e−→Ag
1
Cu2++2e−→Cu
2
Al3++3e−→Al
3
2Cl−→Cl2+2e−
2
🧪 Worked Example — Faraday's Law
Problem: How many grams of Cu are deposited by passing a current of 2.00 A through CuSO4 solution for 1.00 hour?
Given
Quantity
Value
Current (I)
2.00 A
Time (t)
1.00 h = 3600 s
Half-reaction
Cu2++2e−→Cu
n (electrons per ion)
2
MCu
63.55 g/mol
F
96,485 C/mol e−
Step-by-Step Solution
Step
Action
Calculation
Result
1
Total charge
q=It=(2.00)(3600)
7200 C
2
Moles of electrons
Alternative: One-Step Formula
m=nFIt⋅
🔑 Tip: The one-step formula combines all four steps. Use it for speed on the AP exam, but understand each step for conceptual questions.
Faraday's Law Quiz 🎯
Faraday's Law Calculations 🧮
Use F=96,485 C/mol, MAg=107.87 g/mol
1) A current of 5.00 A flows for 1000 s. Total charge = ? (in C)
2) Using the charge from (1), how many moles of electrons? (to 3 significant figures)
3) How many grams of Ag are deposited? (Ag++e−→Ag, n=1) (to 3 significant figures)
Faraday's Law Concepts 🔽
Exit Quiz — Faraday's Laws ✅
Ag(s)→Ag+(aq)+e−
Ag⁺ ions migrate through solution
At the cathode: metal ions deposit → Ag+(aq)+e−→Ag(s)
The object at the cathode gets coated with a layer of silver!
Controlling Thickness
The thickness of the coating depends on:
Current (I): higher current → faster deposition
Time (t): longer time → thicker coating
Faraday's law: m=ItM/(nF)
Common Plating Metals
Metal
Application
Chrome
Car bumpers, faucets
Silver
Jewelry, silverware
Gold
Electronics, jewelry
Nickel
Corrosion protection
Zinc
Galvanization of steel
📌 Major Industrial Processes
1. Hall-Héroult Process (Aluminum Production)
2Al2O3(l)→4Al(l)+3O2(g)
Al₂O₃ is dissolved in molten cryolite (Na3AlF6) to lower the melting point
Enormous current (100,000+ A!)
Carbon anodes are consumed: C+
💡 Why Electrolysis? Aluminum is too reactive to reduce with carbon alone. The Hall-Héroult process was a breakthrough that made aluminum affordable.
2. Chlor-Alkali Process
2NaCl(aq)+2H2O(l)→
Produces three valuable products: chlorine, hydrogen, and sodium hydroxide
Membrane cell separates products
Uses aqueous NaCl (brine)
3. Electrorefining of Copper
Impure Cu = anode; pure Cu = cathode
Cu²⁺ from impure anode deposits as pure Cu on cathode
Impurities fall to the bottom ("anode mud") — contains Ag, Au, Pt!
Produces 99.99% pure copper for electrical wiring
⚠️ Don’t Confuse: In electrorefining, both electrodes are copper! The impure Cu dissolves at the anode, and pure Cu deposits at the cathode. Impurities that don’t dissolve collect as valuable "anode mud."
Applications Quiz 🎯
Electroplating Calculations 🧮
A piece of jewelry is silver-plated using I=2.0 A for 20 minutes.
Ag++e−→Ag, n=1, MAg=107.87 g/mol
1) Total charge in coulombs?
2) Moles of Ag deposited? (to 3 significant figures)
3) Mass of Ag deposited in grams? (to 3 significant figures)
Industrial Electrolysis 🔽
Exit Quiz — Applications ✅
1 hr=3600 s
✅ Calculate charge: q=It
✅ Find mol electrons: mol e−=q/F
✅ Write the half-reaction to find n
✅ Find mol substance: mol=mol e−/n
✅ Convert to mass or volume if needed
For Product Prediction
System
Cathode Product
Anode Product
Molten salt
Metal
Nonmetal (Cl₂, O₂, Br₂)
Aqueous, active metal
H₂
Depends on anion
Aqueous, less active metal
Metal deposits
Depends on anion
Aqueous, halide anion
—
Halogen (Cl₂, Br₂, I₂)
Aqueous, oxyanion/F⁻
—
O₂
🔑 Quick Rule: Active metals (Na, K, Ca, Al) can’t be deposited from aqueous solution—you get H₂ instead. Use molten salts for these metals.
The One-Step Mass Formula
m=nFItM
This combines all steps into one equation.
Mixed Electrolysis Problems 🎯
Calculation Workshop 🧮
1)I=4.00 A, t=50.0 min. Total charge in coulombs?
2) Using the charge from (1), how many grams of Ni deposit from Ni²⁺? (n=2, MNi=58.69 g/mol) (to 3 significant figures)
3) In the electrolysis of molten CaCl₂, what forms at the cathode? (type "Ca" or "Cl2")
Problem Solving Strategies 🔽
Exit Quiz — Problem-Solving Workshop ✅
<
0
>0
Ecell
>0
<0
Energy
Chemical → Electrical
Electrical → Chemical
Anode
−
+
Cathode
+
−
💡 Memory Trick: In both cell types, the anode is where oxidation occurs (AN OX) and the cathode is where reduction occurs (RED CAT). Only the signs flip!
Predicting Aqueous Electrolysis Products
Cathode: Metal deposits if E°metal>−0.83 V; otherwise H₂
Anode: Halide → halogen; oxyanion/F⁻ → O₂
🔑 AP Quick Check: If the metal is above H₂ in the activity series (active metals like Na, K, Al), then H₂ forms at the cathode instead of the metal.
Faraday's Law
m=nFItM
q=Itmol e−=Fqmol substance=nmol e−
Industrial Applications
Process
Input
Product
Hall-Héroult
Al₂O₃ in cryolite
Al metal
Chlor-alkali
NaCl(aq)
Cl₂, H₂, NaOH
Electrorefining
Impure Cu
99.99% pure Cu
Electroplating
Metal ion solution
Metal-coated object
Comprehensive AP Review 🎯
Integration Problems 🧮
1) How many grams of Al can be produced from Al³⁺ (n=3, M=26.98 g/mol) using I=100 A for 1.00 hour?
2) In the electrolysis of aqueous NaI, what gas forms at the cathode? (type "H2" or "O2" or "Na")
3) In the electrolysis of aqueous NaI, what forms at the anode? (type "I2" or "O2" or "Na")
Round all answers to 3 significant figures.
Final Concept Review 🔽
Final Exit Quiz — Electrolysis Mastery ✅
O
(
l
)
→
Pb(s)+
PbO2(s)+
2H2SO4(aq)
+
2OH−
−0.83
q
/
F
=
7200/96,485
0.07462 mol e−
3
Moles of Cu
mol e−/n=0.07462/2
0.03731 mol Cu
4
Mass of Cu
(0.03731)(63.55)
2.37 g
M
=
(2)(96,485)(2.00)(3600)(63.55)=
2.37 g
O2−
→
CO2+
e−
Produces ~65 million tonnes of Al per year worldwide