Part 1 of 7 — Electrolytic Cells and External Voltage
In a galvanic cell, a spontaneous reaction produces electricity. In an electrolytic cell, it is the opposite: we use an external power source to force a non-spontaneous reaction to occur. This process is called electrolysis.
🔧 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 ✓
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.
⚡ 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
Understanding the similarities and differences between galvanic and electrolytic cells is one of the most frequently tested concepts on the AP Chemistry exam. Let's compare them side by side.
⚖️ Complete Comparison
Feature
Galvanic Cell
Electrolytic Cell
Spontaneous?
Yes (ΔG<0)
No (ΔG>0)
Part 3: Electrolysis of Molten Salts
🧪 Electrolysis of Molten Salts and Aqueous Solutions
Part 3 of 7 — Predicting Products
One of the trickiest parts of electrolysis is predicting what forms at each electrode. The products depend on whether you are electrolyzing a molten salt or an aqueous solution.
🔋 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):Na+(l)+e
Part 4: Electrolysis of Aqueous Solutions
⚖️ Faraday's Laws of Electrolysis
Part 4 of 7 — Quantitative Electrolysis: mol = It/(nF)
Faraday's laws connect the amount of substance produced or consumed during electrolysis to the electric current and time. This is one of the most calculation-heavy topics on the AP exam.
📏 Faraday's Laws
The Key Equation
mol of substance=nFIt
Part 5: Faraday\'s Laws of Electrolysis
🏭 Electroplating and Industrial Applications
Part 5 of 7 — Real-World Electrolysis
Electrolysis has enormous industrial importance. From electroplating jewelry to producing aluminum, these applications demonstrate the practical power of electrochemistry.
🔋 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)
How It Works
At the anode: plating metal dissolves → Ag(s)→Ag
Part 6: Problem-Solving Workshop
🛠️ Problem-Solving Workshop — Electrolysis and Faraday
Part 6 of 7 — Practice and Integration
This workshop combines all electrolysis concepts: cell comparisons, product prediction, and Faraday's law calculations. These are the exact problem types you will face on the AP exam.
🛠️ Problem-Solving Checklist
For Faraday's Law Problems
✅ Convert time to seconds (1 min=60 s, 1 hr=3600 s)
✅ Calculate charge:
Part 7: Synthesis & AP Review
🎯 Synthesis & AP Review — Electrolytic Cells and Faraday
Part 7 of 7 — Complete Mastery
This final review integrates everything about electrolytic cells: the comparison with galvanic cells, predicting products, Faraday's law calculations, and industrial applications. Master these and you will own the electrochemistry portion of the AP exam.
📋 Master Summary
Galvanic vs. Electrolytic
Galvanic
Electrolytic
ΔG
<0
>
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!
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)
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