1st law: mass deposited (m) ∝ quantity of charge passed (Q = It). 2nd law: m₁/m₂ = E₁/E₂ where E is equivalent mass. Combined: m = (M/nF)·Q = (M/nF)·I·t.
-- NCERT Class 12 Chemistry, Ch. 2, p. 20Electrolytic Metallic Conduction
Lesson
Electrolytic conduction and metallic conduction both involve charge transport, but the carrier and mechanism differ fundamentally — and NEET exploits exactly this distinction.
Metallic conduction uses free electrons as charge carriers. Electrons flow through the metal lattice without any chemical change to the conductor. Increasing temperature increases lattice vibrations, scattering electrons more frequently, so resistance increases with temperature. No matter transfer occurs.
Electrolytic conduction uses ions as charge carriers. When an electrolyte (molten or dissolved in water) conducts, cations migrate toward the cathode and anions toward the anode. This migration constitutes current, and chemical change occurs at the electrodes — matter is deposited or liberated. Unlike metals, increasing temperature for an electrolyte typically decreases resistance (increases conductivity) because more ions dissociate and ionic mobility rises.
Faraday's laws of electrolysis quantify the chemical change. The first law states that the mass deposited at an electrode is directly proportional to the charge passed. The second law states that for the same charge, the mass deposited is proportional to the equivalent weight (molar mass divided by the number of electrons per ion). Combined:
m = (M × I × t) / (n × F)
where M is molar mass, I is current, t is time, n is the number of electrons required per ion (not per mole of compound — this is where the common mistake lives), and F = 96485 C/mol (NCERT Class 12 Chemistry Chapter 2, page 20).
The high-frequency mistake: using n = 1 for every ion. For Cu²⁺ deposition, n = 2 (Cu²⁺ + 2e⁻ → Cu). For Al³⁺, n = 3. Using n = 1 inflates the calculated mass by a factor of 2 or 3, landing you on a distractor.
Watch-out: when a problem states "electrolysis of CuSO₄ solution," identify the ion being deposited (Cu²⁺) and count its charge — that gives you n directly.
Practice MCQs
Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.
In metallic conduction, the charge carriers are:
Which of the following statements about electrolytic conduction is correct?
In Faraday's law of electrolysis, m = MIt/(nF), the quantity 'n' represents:
During electrolysis of aqueous CuSO₄ using inert electrodes, 0.50 A of current is passed for 965 s. The mass of copper deposited at the cathode is: (Cu = 63.5 g/mol, F = 96500 C/mol)
How long (in seconds) must a current of 2.0 A be passed through molten AlCl₃ to deposit 0.270 g of aluminium at the cathode? (Al = 27.0 g/mol, F = 96500 C/mol)
The same quantity of electricity is passed through solutions of AgNO₃ and CuSO₄ in series. If 1.08 g of Ag is deposited (Ag = 108 g/mol), the mass of Cu deposited is: (Cu = 63.5 g/mol)
A student claims: "Passing the same current for the same time through molten NaCl and molten MgCl₂ will deposit equal masses of Na and Mg because both are Group I/II metals." What is wrong with this reasoning?
During electrolysis of aqueous CuSO₄, a current of 1.50 A is passed for 32 min 10 s. Calculate the mass of Cu deposited and the volume of O₂ liberated at STP at the anode. (Cu = 63.5 g/mol, F = 96500 C/mol, molar volume at STP = 22400 mL/mol)
Quick recall before you leave
Worked Example
- 1
Given
- I = 0.500 A - t = 3860 s - M(Ag) = 108 g/mol - F = 96500 C/mol - Electrode reaction: Ag⁺ + e⁻ → Ag, so n = 1
- 2
Required
Mass of silver deposited, m.
- 3
Concept
Faraday's first law: the mass deposited is proportional to the total charge passed. For a specific ion, m = MIt/(nF).
- 4
Formula
m = MIt/(nF)
- 5
Substitution
m = (108 × 0.500 × 3860) / (1 × 96500)
- 6
Calculation
Numerator: 108 × 0.500 = 54.0; 54.0 × 3860 = 208440 Denominator: 1 × 96500 = 96500 m = 208440 / 96500 = 2.160 g **Note on exact values:** n = 1 is an exact integer (electron count per Ag⁺ ion) and F = 96500 C/mol is given as a defined constant for this problem. Neither limits significant figures.
- 7
Final answer
m = 2.16 g (3 significant figures, limited by I = 0.500 A and the given molar mass).
- 8
Common trap
If you mistakenly used n = 2 (confusing Ag⁺ with Cu²⁺), you would get m = 1.08 g — exactly half the correct answer. Always check the charge on the specific ion being deposited.
- 9
Similar NEET-style question
"A current of 1.00 A is passed through molten CaCl₂ for 9650 s. Calculate the mass of calcium deposited at the cathode. (Ca = 40.0 g/mol, F = 96500 C/mol)" [Answer: Ca²⁺ + 2e⁻ → Ca, n = 2. m = (40.0 × 1.00 × 9650)/(2 × 96500) = 2.00 g] ---
Before solving, remember these
Formulas
Cell EMF
Both as reduction potentials. E°_cell > 0 → spontaneous.
| Symbol | Quantity | SI Unit |
|---|---|---|
| E°_cell | standard cell EMF | V |
| E°_red | reduction potential | V |
Valid when
- Standard conditions (1 M, 1 bar, 298 K)
- Both half-reactions as reductions
Faraday's law of electrolysis
Mass deposited at electrode. M = molar mass; I = current; t = time; n = electrons per ion.
| Symbol | Quantity | SI Unit |
|---|---|---|
| m | mass deposited | g |
| M | molar mass | g/mol |
| I | current | A |
| t | time | s |
| n | electrons per ion | - |
| F | Faraday | C/mol |
Valid when
- Steady current
- Single product
ΔG from EMF
Connection between thermodynamics and electrochemistry. F = 96485 C/mol.
| Symbol | Quantity | SI Unit |
|---|---|---|
| ΔG | Gibbs energy change | J |
| n | electrons transferred | - |
| F | Faraday 96485 | C/mol |
| E | cell EMF | V |
Valid when
- Single redox process
Molar conductivity
Molar conductivity from specific conductance. Increases with dilution as more ions are free.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Λ_m | molar conductivity | S cm^2/mol |
| κ | specific conductance | S/cm |
| C | molarity | mol/L |
Valid when
- Aqueous solution
- Single electrolyte
Nernst equation
Cell potential at non-standard conditions. n = electrons transferred. At equilibrium E=0, Q=K.
| Symbol | Quantity | SI Unit |
|---|---|---|
| E | cell potential | V |
| E° | standard | V |
| n | electrons | - |
| Q | reaction quotient | - |
Valid when
- 298 K (else use RT/F)
- Single redox process
Exam Traps & Common Mistakes
These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.
Category: Negative Marking
Multi-step Nernst problem: identify electrons, write Q correctly, plug into 0.0591/n. Each sub-step has factor errors.
When it triggers
Cell EMF problem at non-standard conditions.
How to avoid
Step-by-step: (1) write balanced redox; (2) count n electrons; (3) compute Q from concentrations; (4) plug into Nernst. Verify by checking limits: at standard conditions Q=1, log Q=0, E=E°.
Category: Inorganic Exception
Student assumes Mn²⁺ is the product regardless of medium. Acidic: → Mn²⁺ (5e⁻). Neutral/weakly basic: → MnO₂ (3e⁻). Strongly basic: → MnO₄²⁻ (1e⁻).
When it triggers
Question gives KMnO4 oxidation in unspecified or specific medium.
How to avoid
Always check medium. In acidic: Mn(+7) → Mn(+2). In neutral: → Mn(+4) (MnO₂). In basic: → Mn(+6) (manganate). The number of electrons (n) in Nernst calculations depends accordingly.
Root cause: concept gap
Correction
n = number of electrons per ion to deposit. Cu²⁺ + 2e⁻ → Cu: n=2. Al³⁺ + 3e⁻: n=3. m = MIt/(nF).
Root cause: formula misuse
Correction
n = electrons transferred per balanced redox equation. For Cu²⁺ + 2e⁻ → Cu: n=2. For Mn(VII) → Mn(II): n=5.
Past Year Questions
17 questions from NEET 2021, 2022, 2023, 2024, 2025. Answers verified against NTA official keys.
The number of bonds, bonds and lone pair of electrons in pyridine, respectively are:
Which of the following statement is not correct about diborane?
Which one of the following polymers is prepared by addition polymerisation?
How NEET usually asks this
Recurring question shapes from past papers. Each pattern shows why wrong options look tempting.
Compute Λ_m from κ and C. Or compute Λ°_m of weak electrolyte from strong electrolyte values via Kohlrausch.
Common distractors
inverts c multiplier
Uses Λ = κC instead of κ/C
forgets 1000 factor
Drops 1000 in unit conversion
Apply Nernst equation to compute non-standard cell EMF given Q. n = electrons transferred.
Common distractors
wrong n electrons
Uses incorrect electron count from half-reactions
Sources
Test yourself on this topic with real past-paper questions:
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