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JEE Main Chemistry Redox Reactions & Electrochemistry 2027: Nernst Equation, Cells & Faraday's Laws

Oxidation numbers, galvanic cells, Nernst equation, conductance, Kohlrausch's law and Faraday's laws of electrolysis, with worked examples.

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September 28, 2026

JEE Main Chemistry Redox Reactions & Electrochemistry 2027: Nernst Equation, Cells & Faraday's Laws

A battery is just a controlled redox reaction. Electrochemistry connects redox chemistry to thermodynamics and to everything from phone batteries to metal plating, and the chapter's JEE Main questions revolve around a small set of formulas.

E° tells you which way electrons want to flow. The Nernst equation tells you what happens when concentrations change.

Chapter at a Glance

SnapshotDetail
NTA unitUnit 7 of 20: Redox Reactions & Electrochemistry
Priority (trend-based)Moderate
Typical question styleNernst-equation numericals, conductance and electrolysis calculations
Best first stepLearn cell EMF, the Nernst equation and the ΔG link

Priority reflects past-paper trends, not an official NTA weightage.

What the NTA Syllabus Covers

  • Oxidation and reduction, oxidation number, rules for assigning oxidation numbers, balancing redox reactions
  • Electrolytic and metallic conduction, conductance, molar conductivity, Kohlrausch's law
  • Electrochemical cells, electrode potentials, EMF, Nernst equation, relation between cell potential and Gibbs energy
  • Dry cell, lead accumulator, fuel cells

Master These Topics

1. Cell EMF, ΔG and the Nernst Equation

For a galvanic cell, E°cell = E°cathode − E°anode (both as reduction potentials). Oxidation happens at the anode and reduction at the cathode.

The link to thermodynamics is ΔG° = −nFE°, with F = 96500 C/mol.

Worked example (Daniell cell): For Zn and Cu, E° = 0.34 − (−0.76) = 1.10 V. Then ΔG° = −2 × 96500 × 1.10 ≈ −212 kJ/mol.

Under non-standard conditions the Nernst equation at 298 K is:

E = E° − (0.0591 / n) log Q

Worked example: With [Zn²⁺] = 0.1 M and [Cu²⁺] = 1 M, Q = 0.1, so E = 1.10 − (0.0591/2) × log 0.1 = 1.10 + 0.0296 ≈ 1.13 V. Lowering the product concentration raises the EMF. At equilibrium E = 0, and log K = nE° / 0.0591.

Trap: Do not multiply E° by the stoichiometric coefficient when balancing half-reactions. E° is intensive, while ΔG° depends on n.

2. Conductance and Kohlrausch's Law

Conductivity is κ, and molar conductivity is Λm = κ × 1000 / C when κ is in S cm⁻¹ and C in mol/L. For strong electrolytes, Λm rises slowly on dilution, while for weak electrolytes it rises sharply because ionisation increases.

Kohlrausch's law says that at infinite dilution, Λm° = λ°(cation) + λ°(anion). Worked example: λ°(Na⁺) = 50.1 and λ°(Cl⁻) = 76.3 S cm² mol⁻¹, so Λm°(NaCl) = 126.4. It is also used to find Λm° of weak electrolytes indirectly and their degree of dissociation α = Λm / Λm°.

3. Faraday's Laws of Electrolysis

Mass deposited is m = (M / nF) × I t.

Worked example: A current of 2 A for 965 s passes 1930 C, which is 0.02 mol of electrons. Copper (Cu²⁺ + 2e⁻ → Cu) needs 2 mol of electrons per mole, so 0.01 mol is deposited: 0.01 × 63.5 = 0.635 g.

4. Oxidation Numbers and Batteries

Oxidation numbers: Cr in K₂Cr₂O₇ is +6, and Mn in KMnO₄ is +7. Balance redox reactions using the ion-electron (half-reaction) method.

  • Lead accumulator: discharge reaction is Pb + PbO₂ + 2H₂SO₄ → 2PbSO₄ + 2H₂O, and it is recharged by reversing it.
  • Fuel cell: H₂ and O₂ react to give water with high efficiency and no harmful emissions.

Common Traps to Avoid

  • Reversing the sign convention: E°cell uses reduction potentials for both electrodes.
  • Multiplying E° by coefficients while balancing the cell reaction.
  • Forgetting the factor n in the Nernst equation and in ΔG° = −nFE°.
  • Using the wrong unit for κ when computing molar conductivity.

60-Second Revision Sheet

  • E°cell = E°cathode − E°anode; ΔG° = −nFE°
  • Nernst at 298 K: E = E° − (0.0591/n) log Q
  • Λm = κ × 1000 / C; Λm° = λ⁺ + λ⁻
  • Faraday: m = (M/nF) I t, F = 96500 C/mol

Your Study Plan

  1. Day 1: oxidation numbers and balancing redox reactions.
  2. Day 2: cell EMF, electrode potentials and ΔG relations.
  3. Day 3: Nernst equation with concentration cells.
  4. Day 4: conductance, Kohlrausch and Faraday's laws, timed set.

Practice Redox Reactions & Electrochemistry Questions Free → (opens in a new tab)


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Frequently Asked Questions

What does a positive E°cell mean?

The cell reaction is spontaneous as written, since ΔG° = −nFE° is then negative.

Why does molar conductivity of weak electrolytes rise so sharply on dilution?

Dilution increases the degree of ionisation, so many more ions are present per mole of electrolyte.

Ready to put this into practice?

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