ELECTROCHEMISTRY

A. Electrochemical Cells

Properties & Key Points:

  • Anode: The electrode where oxidation occurs.
  • Cathode: The electrode where reduction occurs.
  • Anode: Connected to the positive terminal, oxidation occurs here.
  • Cathode: Connected to the negative terminal, reduction occurs here.

B. Cell Potential (EMF)

  • The difference in potential between the two electrodes of an electrochemical cell.

C. Standard Electrode Potential (\( E^\circ \))

Properties & Key Points:

  • The electrode potential of a half-cell under standard conditions (1 M concentration, 1 atm pressure, 25°C).
  • Standard Hydrogen Electrode (SHE): Assigned an electrode potential of \( 0 \, \text{V} \).

D. Nernst Equation

Properties & Key Points:

  • Relates cell potential to concentration of ions in non-standard conditions.
  • \( E_{\text{cell}} \): Cell potential.
  • \( E^\circ_{\text{cell}} \): Standard cell potential.
  • \( R \): Gas constant (8.314 J/mol·K).
  • \( T \): Temperature in Kelvin.
  • \( n \): Number of moles of electrons transferred.
  • \( F \): Faraday constant (96485 C/mol).
  • \( Q \): Reaction quotient.

E. Relationship Between Gibbs Free Energy and EMF

Properties & Key Points:

  • Gibbs free energy change (\( \Delta G \)) and cell potential are related as follows:
  • \( \Delta G \): Gibbs free energy change.
  • \( n \): Number of moles of electrons.
  • \( F \): Faraday constant.
  • \( E_{\text{cell}} \): Cell potential.

F. Conductance and Molar Conductivity

Properties & Key Points:

  • \( \kappa \): Conductivity.
  • \( G \): Conductance.
  • \( l \): Length of the conductor.
  • \( A \): Cross-sectional area.
  • \( \Lambda_m \): Molar conductivity.
  • \( c \): Molar concentration of the solution.

G. Kohlrausch’s Law

Properties & Key Points:

  • At infinite dilution, each ion contributes a specific part to the molar conductivity.
  • \( \Lambda_m^\circ \): Molar conductivity at infinite dilution.
  • \( \lambda^0_{\text{cation}} \): Contribution from the cation.
  • \( \lambda^0_{\text{anion}} \): Contribution from the anion.

H. Faraday’s Laws of Electrolysis

Properties & Key Points:

  • \( m \): Mass of substance.
  • \( Z \): Electrochemical equivalent.
  • \( Q \): Quantity of electricity.
  • \( m_1, m_2 \): Masses of different substances.
  • \( E_1, E_2 \): Equivalent weights.

I. Batteries and Fuel Cells

J. Corrosion

Properties & Key Points:

  • A redox reaction where metals are gradually oxidized.
  • Rusting of Iron: Iron reacts with oxygen and water to form rust.