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Electrochemistry

EMF of cells, Nernst equation, conductance, Faraday's laws of electrolysis

Electrochemical CellsStandard EMFNernst EquationConductanceFaraday's LawsElectrolysis
📋 PYQs Available:
2023202220212020
Expert Content

Electrochemistry (Class 12)

Why This Chapter Matters

Electrochemistry gives 5-7 marks in CBSE Class 12. EMF of cells, Nernst equation, conductance, and electrolysis are all board topics.

Core Concepts

1. Electrochemical Cells

Galvanic cell (Voltaic): Chemical energy → Electrical energy (spontaneous).

Anode: oxidation (negative in galvanic). Cathode: reduction (positive in galvanic).

Daniell cell: Zn|Zn²⁺||Cu²⁺|Cu.

Zn → Zn²⁺ + 2e⁻ (anode). Cu²⁺ + 2e⁻ → Cu (cathode).

E°cell = E°cathode - E°anode = +0.34 - (-0.76) = +1.10 V.

Salt bridge: Maintains electrical neutrality and ion flow without mixing solutions.

2. Standard Electrode Potential

Measured relative to Standard Hydrogen Electrode (SHE) = 0.00 V.

More positive E° = better oxidising agent (gets reduced more easily).

More negative E° = better reducing agent (gets oxidised more easily).

Standard cell potential: E°cell = E°cathode - E°anode.

Spontaneous if E°cell > 0 ↔ ΔG° < 0 ↔ K > 1.

Relation: ΔG° = -nFE°cell = -RT lnK.

F = Faraday = 96500 C/mol.

3. Nernst Equation

At non-standard conditions: E = E° - (RT/nF)lnQ.

At 25°C: E = E° - (0.0591/n)logQ.

4. Conductance

Resistance R = ρL/A. Conductance G = 1/R = κ·A/L.

Specific conductance κ (= conductivity): G×L/A. Unit: S/m or S/cm.

Molar conductance Λm = κ×1000/M (M = molarity). Unit: S·cm²/mol.

At infinite dilution (Λ°m):

Strong electrolytes: extrapolate linear graph of Λm vs √c.

Weak electrolytes: Kohlrausch's law: Λ°m = Σλ°(ions).

Λm increases with dilution for all electrolytes.

For strong electrolytes: Λm = Λ°m - b√c (Debye-Hückel-Onsager equation).

Degree of dissociation: α = Λm/Λ°m (for weak electrolytes).

5. Faraday's Laws of Electrolysis

1st Law: Mass deposited ∝ charge passed. m = ZQ = ZIt.

2nd Law: Mass deposited ∝ equivalent weight (at same charge).

m = (M/nF)×Q = (E/F)×Q. E = equivalent weight = M/n.

Electrodes: Cathode = reduction (+ions deposit). Anode = oxidation (metal dissolves or water oxidised).

Board Examples

Q1: Calculate E_cell for Daniell cell when [Zn²⁺]=0.1M, [Cu²⁺]=0.01M at 25°C.

E°cell = 1.10V. Q = [Zn²⁺]/[Cu²⁺] = 0.1/0.01 = 10.

E = 1.10 - (0.0591/2)log10 = 1.10 - 0.02955 = 1.07V.

Q2: How many grams of Ag deposited by 1A current for 1 hour from AgNO₃ solution?

Q = It = 1×3600 = 3600C. m = (108/96500)×3600 = 4.03g.

Revision Notes

GALVANIC: E°cell = E°cathode - E°anode (both reduction potentials)
E°cell > 0 → spontaneous → ΔG° < 0

ΔG° = -nFE° = -RTlnK | F = 96500 C/mol

NERNST: E = E° - (0.0591/n)logQ (at 25°C)

CONDUCTANCE:
Λm = κ×1000/M | Increases with dilution
Strong electrolytes: Λm = Λ°m - b√c
Weak: α = Λm/Λ°m

FARADAY'S LAWS:
m = (M/nF)×I×t | n=valence factor
1F = 96500C = charge of 1 mole e⁻
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