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Electrochemistry appeared 40 times across 3 years — 4.7% of Chemistry. This question is from Kohlrausch's Law.

Year 2026 2025 2024 Total
Questions 13 19 8 40

Given below are two statements: Statement I: Mohr's salt is composed of only three types of ions-ferrous, ammonium and sulphate. Statement II: If the molar conductance at infinite dilution of ferrous, ammonium and sulphate ions are x₁, x₂ and x₃ S cm² mol⁻¹, respectively then the molar conductance for Mohr's salt solution at infinite dilution would be given by x₁ + x₂ + 2x₃. In the light of the given statements, choose the correct answer from the options given below:

Solution & Explanation

Related Formula
λm∞ = ν_+ λ_+∞ + ν_- λ_-∞
Core Logic

Statement I: Mohr's salt is a double salt with chemical formula:

FeSO₄ · (NH₄)₂SO₄ · 6H₂O

When dissolved in water, it completely dissociates into three distinct ionic species:

Fe²⁺ (ferrous), NH₄^+ (ammonium), and SO₄²⁻ (sulphate)

Thus, Statement I is true.

Statement II: According to Kohlrausch's law of independent migration of ions:

λm∞(Mohr's Salt) = 1 · λm∞(Fe²⁺) + 2 · λm∞(NH₄^+) + 2 · λm∞(SO₄²⁻) λm∞ = x₁ + 2x₂ + 2x₃

Statement II claims the expression is x₁ + x₂ + 2x₃ (missing the coefficient 2 for ammonium). Thus, Statement II is false.

Pattern Recognition

Kohlrausch's law matches stoichiometric coefficients directly to the ion quantities released. Mohr's salt formula contains (NH₄)₂, requiring a multiplier of 2 for ammonium ion conductance.

Chapter Mix

Class 12 Chemistry: Electrochemistry Class 12 Chemistry: d- and f-Block Elements

Reference Study Guides

More Electrochemistry Previous-Year Questions — Page 7

Q jee_main_2025_29_jan_morning Variation of Molar Conductivity with Concentration
The molar conductivity of a weak electrolyte when plotted against the square root of its concentration, which of the following is expected to be observed?
  • A. A small decrease in molar conductivity is observed at infinite dilution.
  • B. A small increase in molar conductivity is observed at infinite dilution.
  • C. Molar conductivity increases sharply with increase in concentration.
  • D. Molar conductivity decreases sharply with increase in concentration.

Solution

Related Formula

For weak electrolytes, the degree of dissociation α increases sharply near infinite dilution according to Ostwald's Dilution Law:

α = √((Kₐ)/(C))
Core Logic

When a weak electrolyte is diluted (concentration C arrow 0), its molar conductivity increases steeply. Conversely, when plotted against √(C), as concentration increases, the degree of dissociation drops rapidly, causing a sharp decrease in molar conductivity. This matches the curve given below:

Variation of Molar Conductivity with Concentration diagram for Q28 - JEE Main 2025 Morning
Variation of Molar Conductivity with Concentration diagram for Q28 - JEE Main 2025 Morning

Pattern Recognition

Weak electrolyte plots feature a steep asymptotic exponential-like rise towards the y-axis as C arrow 0, meaning a sharp decrease occurs with increasing concentration.

Chapter Mix

Class 12 Chemistry: Electrochemistry

Q jee_main_2025_29_jan_morning Nernst Equation
For a Mg Mg²⁺ (aq) ∥ Ag⁺(aq) Ag the correct Nernst Equation is :
  • A. Ecell = Ecello - (RT)/(2F)ln [Ag⁺][Mg2 +]
  • B. Ecell = Ecell° + RT2 ~F ln [Ag⁺]²[Mg²⁺]
  • C. Ecell = Ecello - (RT)/(2F)ln [Mg2 +][Ag⁺]
  • D. Ecell = Ecello - (RT)/(2F)ln [Ag⁺]²[Mg2 +]

Solution

Related Formula
Ecell = Ecell° - (RT)/(nF) ln Q
Core Logic

Let us explicitly formulate the complete chemical oxidation-reduction equations : Anode oxidation: Mg(s) arrow Mg²⁺(aq) + 2e^- Cathode reduction: 2Ag⁺(aq) + 2e^- arrow 2Ag(s)

Net total equation :

Mg(s) + 2Ag⁺(aq) leftharpoons Mg²⁺(aq) + 2Ag(s)

Total transferred moles of electrons n = 2 . Reaction quotient :

Q = [Mg²⁺][Ag⁺]²

Substituting into Nernst form :

Ecell = Ecell° - (RT)/(2F) ln( [Mg²⁺][Ag⁺]² )

Inverting the inside quotient changes the sign of the logarithm term from negative to positive:

Ecell = Ecell° + (RT)/(2F) ln( [Ag⁺]²[Mg²⁺] )
Pattern Recognition

A standard negative logarithmic quotient can always toggle into an addition configuration by inverting the products/reactants variables concentration ratio.

Q82 jee_main_2024_01_february_morning Nernst Equation
The potential for the given half cell at 298K is (-) × 10⁻² ~V. 2H^+(aq) + 2e^- arrow H₂(g) [H^+] = 1 M, PH₂ = 2 ~atm Given: 2.303RT/F = 0.06V, 2 = 0.3
Numerical Answer. Answer: 0.9 to 1

Solution

Related Formula
E = E^° - (2.303RT)/(nF) Q

For the Standard Hydrogen Electrode half-reaction: 2H^+ + 2e^- arrow H₂

EH^+/H₂ = E^°H^+/H₂ - (0.06)/(2) PH₂[H^+]²
Step 1: Substitute the given values

E^°H^+/H₂ = 0.00 ~V (by definition) [H^+] = 1 ~M PH₂ = 2 ~atm n = 2 electrons

E = 0.00 - (0.06)/(2) ( (2)/(1²) )
Step 2: Solve the calculation

E = -0.03 2 Given 2 = 0.3 E = -0.03 × 0.3 E = -0.009 ~V E = -0.9 × 10⁻² ~V

Step 3: Match the requested format

The question asks for (-) × 10⁻² ~V. This gives exactly 0.9. For NAT type with integer expected, 0.9 can be rounded to 1. However, exact calculation yields 0.9. According to official JEE rounding, 0.9 ≈ 1.

Pattern Recognition

Hydrogen electrode non-standard potential depends strictly on pressure of H₂ and concentration of H^+. If [H^+]=1, increasing H₂ pressure lowers the potential below zero (makes it negative).

Chapter Mix

Class 12 Chemistry: Electrochemistry

Q jee_main_2024_29_january_evening Faraday's Laws of Electrolysis
A constant current was passed through a solution of AuCl₄^- ion between gold electrodes. After a period of 10.0 minutes, the increase in mass of cathode was 1.314g. The total charge passed through the solution is ________ × 10⁻²F. (Given atomic mass of Au = 197)
Numerical Answer. Answer: 2 to 2

Solution

Related Formula
Number of equivalents deposited = (W)/(E) = (Q)/(F) Equivalent Weight (E) = Atomic Massn-factor
Core Logic

In the reduction of gold from the tetrachloroaurate(III) complex anion:

AuCl₄^- + 3e^- arrow Au(s) + 4Cl^- n-factor = 3

Calculate the equivalent weight (E) of Gold:

E = (197)/(3)

Set up the Faraday equivalence relation to solve for charge (Q in Faradays):

(1.314)/(((197)/(3))) = Q
Step 1: Arithmetic Resolution
Q = (1.314 × 3)/(197) = (3.942)/(197) = 0.02 F = 2 × 10⁻² F

Thus, the required integer value is 2.

Pattern Recognition

Always determine the correct change in oxidation state (+3 to 0) to establish the proper n-factor value for calculations using Faraday's laws.

Chapter Mix

Class 12 Chemistry: Electrochemistry

Q81 jee_main_2024_27_jan_morning Faraday's Laws of Electrolysis
The mass of silver (Molar mass of Ag: 108 g mol⁻¹) displaced by a quantity of electricity which displaces 5600 mL of O₂ at S.T.P. will be g.
Numerical Answer. Answer: 107 to 108

Solution

Related Formula

By Faraday's Second Law of Electrolysis:

Equivalents of Ag = Equivalents of O₂ Equivalents = MassEquivalent Mass = Moles × n-factor
Step 1: Calculate equivalents using standard metrics

Let x grams of Silver be displaced. Using the older STP molar volume baseline (22.4 L or 22400 mL):

Moles of O₂ = (5600)/(22400) = 0.25 moles

Since the n-factor of O₂ is 4 (2O²⁻ arrow O₂ + 4e^-):

Equivalents of O₂ = 0.25 × 4 = 1
Step 2: Equating equivalents for silver mass
Equivalents of Ag = (x)/(108) × 1 = 1 x = 108 g
Step 3: Alternative calculation using current STP metric

Using modern STP volume metrics (22.7 L):

(x × 1)/(108) = (5.6)/(22.7) × 4 x ≈ 106.57 g arrow 107 g
Pattern Recognition

Equivalents equations bypass complex current/time measurements. Always link volume fractions directly to n-factor equivalents.

Chapter Mix

Class 12 Chemistry: Electrochemistry Class 11 Chemistry: Some Basic Concepts of Chemistry

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