ELECTROCHEMISTRY, COMPLETE EXAM NOTES
Introduction to Electrochemistry
Definition: Branch of physical chemistry that studies interconversion of chemical energy and electrical energy.
Two Main Processes:
- Spontaneous chemical reactions → electricity (Galvanic/Voltaic cell)
- Electricity → chemical reactions (Electrolytic cell)
Electricity: Flow of electrons between two points.
Redox Reactions
Redox Reaction: Oxidation and reduction occur simultaneously.
Oxidation:
- Loss of electrons
- Gain of oxygen
- Loss of hydrogen
- Increase in oxidation state
Reduction:
- Gain of electrons
- Loss of oxygen
- Gain of hydrogen
- Decrease in oxidation state
Disproportionation Reaction: Same species oxidized and reduced in same reaction.
Oxidation State vs Valency
Oxidation State: Apparent charge on atom in compound.
Valency: Combining capacity, no sign.
Rules for Oxidation State
- Free elements = 0
- H = +1 (non-metals), -1 (metal hydrides)
- O = -2 (exceptions: peroxides -1, superoxides -1/2, OF₂ +2)
- Group 1 = +1
- Group 2 = +2
- Fluorine = -1 always
Electrochemical Cells
| Feature | Electrolytic Cell | Galvanic Cell |
|---|---|---|
| Energy | Electrical → Chemical | Chemical → Electrical |
| Reaction | Non-spontaneous | Spontaneous |
| Anode | Positive | Negative |
| Cathode | Negative | Positive |
Salt Bridge
U-shaped tube filled with inert electrolyte (KCl/KNO₃ in agar-agar).
Functions:- Completes circuit
- Maintains electrical neutrality
- Prevents mixing of solutions
Faraday’s Laws of Electrolysis
First Law:
Mass deposited ∝ charge passed
w = ZIt
Second Law:
For same electricity, mass ∝ equivalent weight
Faraday Constant: 96500 C/mol
Conductance & Conductivity
Electrolytic conduction: Due to ions, increases with temperature
Metallic conduction: Due to electrons, decreases with temperature
Conductance: G = 1/R
Molar Conductivity: Conductance of ions from 1 mole electrolyte
Trend: Increases with dilution (VERY IMPORTANT)
Electrochemical Series
Arrangement of elements based on standard reduction potentials.
Standard Hydrogen Electrode (SHE): 0.00 V reference
Applications:
- Predict reactivity
- Displacement reactions
- Check spontaneity of reaction
Rule: Ecell > 0 → spontaneous reaction
Electrode Potential & EMF
Electrode Potential: Tendency to lose/gain electrons
Cell EMF:
Ecell = Ecathode - Eanode
Nernst Equation
VERY IMPORTANT FOR EXAMS
E = E° − (0.0591/n) log Q
Used for:
- Non-standard conditions
- Concentration cells
- EMF calculations
Read Other
Kohlrausch’s Law
At infinite dilution:
Λm° = λ⁺ + λ⁻
Used for:
- Weak electrolyte conductivity
- Degree of dissociation
Batteries & Fuel Cells
- Primary Cells: Non-rechargeable (Dry cell, Mercury cell)
- Secondary Cells: Rechargeable (Lead storage battery, Ni-Cd)
- Fuel Cells: H₂ + O₂ → electricity + water
Corrosion
Definition: Slow destruction of metals due to environment
Rusting of Iron: Fe₂O₃·xH₂O formation
Mechanism:
- Anode: Fe → Fe²⁺ + 2e⁻
- Cathode: O₂ + H₂O + e⁻ → OH⁻
Prevention:
- Painting
- Galvanization
- Cathodic protection (Mg/Zn)
Electrolysis of Water
- Cathode: H₂ gas
- Anode: O₂ gas
HIGH-YIELD POINTS
- Faraday laws numericals
- Nernst equation derivations & applications
- Cell notation representation
- EMF calculations
- Electrochemical series order
- Corrosion mechanism reactions
- Conductivity vs temperature trends
Electrochemistry, Formula Sheet
More to come, Comment to get Pdf Of full formula sheet for quick revisions| Topic | Formula | Notes |
|---|---|---|
| Electric Charge | Q = I × t | Charge (Coulombs) |
| Faraday First Law | w = ZIt | Mass deposited ∝ charge |
| Faraday General Formula | w = (It × M) / (nF) | M = molar mass |
| Moles of Electrons | n (moles) = Q / F = It / F | Used in numericals |
| Faraday Constant | F = 96485 C/mol | Standard accurate value |
| Cell EMF | Ecell = Ecathode − Eanode | Spontaneous if positive |
| Standard EMF | E°cell = E°cathode − E°anode | Standard conditions |
| Nernst Equation (General) | E = E° − (RT/nF) ln Q | Valid at all temperatures |
| Nernst Equation (25°C) | E = E° − (0.0592/n) log Q | At 298 K |
| Equilibrium Relation | E°cell = (0.0592/n) log K | At equilibrium |
| At Equilibrium | Ecell = 0 and Q = K | No net reaction |
| Gibbs Free Energy | ΔG = −nFEcell | Work relation |
| Standard Gibbs Energy | ΔG° = −nFE°cell | Standard condition |
| Resistance | R = V / I | Ohm’s law |
| Resistance Relation | R = ρ (L / A) | L = length, A = area |
| Resistivity | ρ = R (A / L) | Correct rearranged form |
| Conductance | G = 1 / R | Unit: Siemens |
| Conductivity | κ = 1 / ρ | Also κ = G × (L/A) |
| Cell Constant | Cell constant = L / A | Geometry factor |
| Molar Conductivity | Λm = κ × (1000 / C) | C in mol/L |
| Equivalent Conductivity | Λeq = κ × (1000 / N) | N = normality |
| Kohlrausch Law | Λm° = λ⁺ + λ⁻ | At infinite dilution |
| Degree of Dissociation | α = Λm / Λm° | Weak electrolytes |
| Ostwald Dilution Law | K = (Cα²) / (1 − α) | Weak electrolytes |
| Ostwald Approximation | K ≈ Cα² (if α ≪ 1) | MCQ shortcut |
| Concentration Cell | Ecell = (0.0592/n) log (C₂ / C₁) | C₂ > C₁ |
| Overpotential | η = Eapplied − Eequilibrium | Extra voltage required |






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