JEE Main Electrochemistry 2027 — Galvanic Cells, Nernst Equation, Electrolysis and Problems - JEE Gurukul

JEE Main Electrochemistry 2027 — Galvanic Cells, Nernst Equation, Electrolysis and Problems

JEE Main Advanced engineering physics chemistry math study cover 15

Last Updated: April 2026

Electrochemistry is a high-yield chapter in JEE Main 2027 Chemistry, consistently contributing 2-4 questions per year. The chapter (NCERT Class 12 Chemistry Chapter 3) covers electrochemical cells, electrode potentials, Nernst equation, electrolysis (Faraday’s laws), conductance, and practical applications like batteries and corrosion. This guide covers all concepts with solved problems for JEE Main 2027.

JEE Main Electrochemistry — Weightage

Topic JEE Questions/Year Type
EMF of cell, Standard electrode potential 1-2 Calculation
Nernst Equation 1 Calculation
Faraday’s Laws of Electrolysis 1 Calculation
Conductance (molar, specific, equivalent) 0-1 Concept/Calculation
Batteries and Corrosion 0-1 Concept

1. Electrochemical Cells

Types of Cells

Feature Galvanic (Voltaic) Cell Electrolytic Cell
Energy conversion Chemical → Electrical Electrical → Chemical
Spontaneity Spontaneous (ΔG < 0) Non-spontaneous (ΔG > 0)
Anode Negative (oxidation) Positive (oxidation)
Cathode Positive (reduction) Negative (reduction)
Example Daniel cell, batteries Electroplating, refining

Daniel Cell

  • Zn(s) | ZnSO₄(aq) || CuSO₄(aq) | Cu(s)
  • Anode (negative): Zn → Zn²⁺ + 2e⁻ (oxidation)
  • Cathode (positive): Cu²⁺ + 2e⁻ → Cu (reduction)
  • Overall: Zn + Cu²⁺ → Zn²⁺ + Cu
  • E°cell = E°cathode − E°anode = +0.34 − (−0.76) = +1.10 V

2. Standard Electrode Potential and EMF

Standard Hydrogen Electrode (SHE)

Reference electrode: 2H⁺(aq, 1M) + 2e⁻ → H₂(g, 1 atm), E° = 0.00 V

All standard electrode potentials are measured against SHE at 25°C, 1 atm, 1M concentration.

EMF Calculation

E°cell = E°reduction (cathode) − E°reduction (anode)

OR: E°cell = E°cathode − E°anode (using reduction potentials for both)

  • If E°cell > 0 → spontaneous cell reaction (ΔG < 0)
  • If E°cell < 0 → non-spontaneous (requires external energy)

Relationship between EMF and Gibbs Free Energy

ΔG° = −nFE°cell

  • n = number of electrons transferred in balanced equation
  • F = Faraday constant = 96,500 C/mol (or 96,485 C/mol)
  • ΔG° = −RT ln K (equilibrium constant relationship)
  • Therefore: E°cell = (RT/nF) ln K = (0.0591/n) log K (at 25°C)

3. Nernst Equation

EMF varies with concentration. At non-standard conditions:

E_cell = E°_cell − (0.0591/n) log Q (at 25°C)

  • Q = reaction quotient
  • n = number of electrons transferred
  • At equilibrium: E_cell = 0, Q = K

Applications of Nernst Equation

  • Calculation of EMF at non-standard concentrations
  • Finding equilibrium constant: E°cell = (0.0591/n) log K
  • pH measurement using hydrogen electrode (E = −0.0591 × pH)
  • Concentration cells (both electrodes are identical but different concentrations)

4. Conductance

Terminology

Term Formula Unit
Resistance (R) R = ρl/A Ohm (Ω)
Conductance (G) G = 1/R Siemens (S)
Resistivity (ρ) ρ = RA/l Ω·m
Conductivity (κ) κ = 1/ρ = G × l/A S/m or S/cm
Molar Conductivity (Λm) Λm = κ × 1000/M (M = molarity) S·cm²/mol

Kohlrausch’s Law

At infinite dilution, molar conductivity of an electrolyte equals sum of contributions from individual ions:

Λ°m = ν₊λ°₊ + ν₋λ°₋

  • Used to calculate Λ°m of weak electrolytes (which cannot be measured directly)
  • Example: Λ°m(CH₃COOH) = Λ°m(CH₃COONa) + Λ°m(HCl) − Λ°m(NaCl)

5. Faraday’s Laws of Electrolysis

First Law

Mass of substance deposited is directly proportional to charge passed: m = ZQ = ZIt

  • Z = electrochemical equivalent (grams per coulomb)
  • I = current (amperes), t = time (seconds)

Second Law

When the same charge is passed through different electrolytes, masses deposited are proportional to equivalent weights (M/n):

m₁/m₂ = (M₁/n₁)/(M₂/n₂)

Important: 1 Faraday (96,500 C) deposits 1 gram equivalent of substance at an electrode.

6. Solved Problems

Problem 1 (EMF Calculation)

E° for Zn²⁺/Zn = −0.76V and Cu²⁺/Cu = +0.34V. Find E°cell for the Daniel cell.

Solution: E°cell = E°cathode − E°anode = 0.34 − (−0.76) = +1.10 V

Problem 2 (Nernst Equation)

For the cell Zn|Zn²⁺(0.1M)||Cu²⁺(0.01M)|Cu, find E_cell. (E°cell = 1.10V, n = 2)

Solution: Q = [Zn²⁺]/[Cu²⁺] = 0.1/0.01 = 10

E_cell = 1.10 − (0.0591/2)log(10) = 1.10 − 0.02955 = 1.07 V

Problem 3 (Faraday’s Law)

A current of 2A flows for 30 minutes through CuSO₄ solution. Mass of Cu deposited? (M of Cu = 64, n = 2)

Solution: Charge = I × t = 2 × 30 × 60 = 3600 C

Equivalents deposited = 3600/96500 = 0.03731

Mass = equivalents × equivalent weight = 0.03731 × 32 = 1.19 g

Frequently Asked Questions (FAQ)

What is the most common mistake students make in Electrochemistry for JEE?

The most common mistake is confusing anode and cathode signs in galvanic vs electrolytic cells. In a galvanic cell, anode is NEGATIVE (electrons flow out, oxidation occurs). In an electrolytic cell, anode is POSITIVE (connected to + terminal of external battery). Another frequent error is using the wrong sign in the Nernst equation — remember it’s MINUS (0.0591/n) × log Q, not plus.

How many electrons are transferred in typical JEE electrochemistry problems?

n (number of electrons transferred) depends on the balanced half-reactions. For common systems: Cu²⁺/Cu → n=2; Ag⁺/Ag → n=1; Fe³⁺/Fe → n=3; Al³⁺/Al → n=3; Zn²⁺/Zn → n=2; H⁺/H₂ → n=2 (per mole H₂). Always balance the half-reactions first to determine n before using the Nernst equation or ΔG = -nFE calculations.

Related Reading: JEE Thermodynamics 2027 | JEE Wave Optics 2027 | Best JEE Coaching Online 2027

Start your CLAT prep with a free 5-day demo course Start Free Trial →