Course Content
Module 1: Introduction to Electrochemistry
Overview of electrochemistry, its applications, and relevance in daily life and industrial processes.
0/1
Module 2: Redox Reactions
Understanding oxidation, reduction, oxidation numbers, and balancing redox equations.
0/3
📘 Module 7: Conductivity of Electrolyte Solutions
0/1
📘 Module 9: Applications of Electrolysis in Industry
0/1
📘 Module 10: Redox Titrations and Calculations
0/1
Advanced Chemistry: Electrochemistry

Introduction
Electrolysis calculations allow us to determine the mass, volume, or number of moles of substances deposited or liberated at electrodes based on the current and time passed. These calculations are rooted in Faraday’s Laws and often tested in NECTA exams.


🔹 Key Equations

  1. Q = I × t

    • Q = charge (Coulombs)

    • I = current (Amps)

    • t = time (seconds)

  2. m = (M × I × t) / (n × F)

    • m = mass deposited (grams)

    • M = molar mass (g/mol)

    • n = number of electrons transferred

    • F = Faraday’s constant (96,500 C/mol)

  3. n = Q / (n × F)

    • Used when calculating moles of product

  4. Volume of gas (at STP)

    • 1 mole of gas = 22.4 dm³

    • Volume = (n × 22.4) dm³


🧪 Worked Example 1 – Mass Deposited

Q: A current of 2.5 A is passed through a solution of CuSO₄ for 30 minutes. Calculate the mass of copper deposited.
(M = 63.5, n = 2)

Solution:

Convert time:

ini
t = 30 min × 60 = 1800 s

Use formula:

makefile
m = (M × I × t) / (n × F)
= (63.5 × 2.5 × 1800) / (2 × 96,500)
= 285,750 / 193,000 ≈ 1.48 g

Answer: 1.48 g of copper deposited.


🧪 Worked Example 2 – Volume of Hydrogen Gas

Q: What volume of hydrogen gas (at STP) is produced by passing 4.0 A through acidified water for 40 minutes?

Solution:

  1. Find charge:

ini
t = 40 × 60 = 2400 s
Q = I × t = 4 × 2400 = 9600 C
  1. Reaction at cathode:
    2H⁺ + 2e⁻ → H₂ (n = 2)

  2. Moles of H₂:

ini
n = Q / (n × F) = 9600 / (2 × 96,500) ≈ 0.0497 mol
  1. Volume at STP:

ini
V = 0.0497 × 22.41.11 dm³

Answer: 1.11 dm³ of hydrogen gas is produced.


🧠 NECTA-Style Question

Q: Calculate the mass of aluminum deposited when a current of 3 A is passed through molten AlCl₃ for 2 hours.
(M = 27, n = 3)

Solution:

makefile
t = 2 × 3600 = 7200 s
Q = 3 × 7200 = 21,600 C
m = (27 × 21,600) / (3 × 96,500)
= 583,200 / 289,500 ≈ 2.02 g

Answer: 2.02 g of aluminum


✅ Summary

  • Use Q = I × t to find charge

  • Apply Faraday’s formula to get mass or moles

  • Always know the value of n from the half-equation

  • Convert gas moles to volume using 22.4 dm³/mol at STP

  • Round answers appropriately for NECTA exams