Quick revision notes for Class 12 Chemistry Chapter 2 – Electrochemistry, covering galvanic cells, electrode potentials, the Nernst equation, conductivity and molar conductivity, Kohlrausch’s law, and Faraday’s laws of electrolysis. Ideal for last-minute board exam revision.
Galvanic Cells and Electrode Potential
A galvanic (voltaic) cell converts the chemical energy of a spontaneous redox reaction into electrical energy using two half-cells connected by a salt bridge and an external wire. The electrode where oxidation occurs is the anode (negative terminal); the electrode where reduction occurs is the cathode (positive terminal). The standard electrode potential (E°) of a half-cell is measured relative to the standard hydrogen electrode (E°=0V) under standard conditions (1M, 1 bar, 298K), and the standard cell potential is E°cell = E°cathode − E°anode.
The Nernst Equation
For a general electrode Mn+ + ne− → M, the electrode potential under non-standard conditions is given by the Nernst equation: E = E° − (0.0591/n)log[1/[Mn+]] at 298K. For a full cell reaction, Ecell = E°cell − (0.0591/n)log Q, where Q is the reaction quotient. The relation ΔG° = −nFE°cell links cell potential to Gibbs energy and confirms that a positive E°cell means a spontaneous reaction; at equilibrium, Ecell=0 and ΔG=0.
Conductivity and Molar Conductivity
Conductivity (κ) is the reciprocal of resistivity and measures a solution’s ability to conduct current. Molar conductivity (Λm = κ/c) is the conductivity contributed by one mole of electrolyte. For strong electrolytes, Λm rises only gently with dilution and can be extrapolated to Λ°m (molar conductivity at infinite dilution) from a Λm vs √c plot. For weak electrolytes, Λm rises sharply near c=0 (because the degree of dissociation itself increases on dilution), so direct extrapolation fails and Λ°m must be found using Kohlrausch’s law instead.
Kohlrausch’s Law
Kohlrausch’s law of independent migration of ions states that at infinite dilution, each ion migrates independently and contributes a fixed amount to the total molar conductivity, regardless of the other ion present. This allows Λ°m of a weak electrolyte to be calculated from the Λ°m values of strong electrolytes sharing its ions (e.g. Λ°m(CH3COOH) = Λ°m(CH3COONa) + Λ°m(HCl) − Λ°m(NaCl)), and lets the degree of dissociation (α = Λm/Λ°m) and dissociation constant (Ka) of a weak electrolyte be determined.
Faraday’s Laws of Electrolysis
Faraday’s first law: the mass of substance deposited/liberated at an electrode is directly proportional to the charge passed (m = Zq = ZIt). Faraday’s second law: when the same quantity of charge passes through several electrolytes, the masses deposited are proportional to their equivalent weights. One Faraday (F ≈ 96,500 C) is the charge carried by one mole of electrons, and is the charge needed to deposit one gram-equivalent of any substance.
One-Line Summary
Chapter 2 covers how galvanic cells convert redox chemistry into electrical energy via electrode potentials and the Nernst equation, how conductivity and molar conductivity behave differently for strong and weak electrolytes, how Kohlrausch’s law finds Λ°m for weak electrolytes, and how Faraday’s laws quantify the mass changes that occur during electrolysis.
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