Principles of Electrochemistry and Chromatography

Oxidizing and Reducing Agents

Definitions

Oxidizing Agent: An oxidizing agent is a substance that accepts electrons and is reduced during a chemical reaction.

Reducing Agent: A reducing agent is a substance that donates electrons and is oxidized during a chemical reaction.

Example Reaction

Zn + CuSO4 → ZnSO4 + Cu

  • Zn: Reducing Agent
  • Cu2+: Oxidizing Agent

Note: There is no difference between Galvanic and Voltaic cells; both terms refer to the same electrochemical system.

Comparison of Electrochemical Cells

FeatureGalvanic / Voltaic CellElectrolytic Cell
Energy ConversionConverts chemical energy into electrical energy.Converts electrical energy into chemical energy.
Reaction TypeSpontaneous reaction.Non-spontaneous reaction.
Power SourceProduces electricity without an external power source.Requires an external battery or power source.
Electrode ProcessUses oxidation at the anode and reduction at the cathode.Uses oxidation at the anode and reduction at the cathode.
Anode PolarityNegativePositive
Cathode PolarityPositiveNegative

The Nernst Equation

Definition

The Nernst equation is used to calculate the electrode potential under non-standard conditions.

Mathematical Formula

E = E° – (0.0591 / n) log Q

Where:

  • E: Cell potential
  • E°: Standard potential
  • n: Number of electrons transferred
  • Q: Reaction quotient

Effective Concentration and Activity

Definition

Effective concentration is referred to as activity. It represents the actual concentration of ions participating in a chemical reaction.

Mathematical Formula

a = γC

Where:

  • a: Activity
  • γ: Activity coefficient
  • C: Concentration

Principles of Chromatography

Adsorption Chromatography

Adsorption chromatography is a technique in which the components of a mixture are separated based on their different adsorption affinities on the surface of a solid stationary phase.

  • Principle: Separation depends on adsorption.
  • Stationary Phase: Solid (e.g., Silica gel or Alumina).
  • Mobile Phase: Liquid or Gas.
  • Examples: Thin Layer Chromatography (TLC), Column Chromatography.

Partition Chromatography

Partition chromatography is a technique in which the components of a mixture are separated according to their distribution between a liquid stationary phase and a mobile phase.

  • Principle: Separation depends on the partition coefficient.
  • Stationary Phase: Liquid.
  • Mobile Phase: Liquid or Gas.
  • Example: Paper Chromatography.

Comparison Table

FeatureAdsorption ChromatographyPartition Chromatography
BasisBased on adsorptionBased on partition
Stationary PhaseSolid stationary phaseLiquid stationary phase
Solute BehaviorSolute adsorbs on the solid surfaceSolute distributes between two liquids
ExampleTLCPaper Chromatography

Specific Chromatography Techniques

Thin Layer Chromatography (TLC)

TLC is an adsorption chromatography technique in which a thin layer of silica gel or alumina is coated on a glass, plastic, or aluminum plate to separate components.

  • Principle: Adsorption
  • Stationary Phase: Silica gel or Alumina
  • Mobile Phase: Suitable solvent
  • Uses: Identification of compounds, purity testing, and drug analysis.

Column Chromatography

Column chromatography is an adsorption technique where the stationary phase is packed inside a vertical glass column and a liquid solvent acts as the mobile phase.

  • Principle: Adsorption
  • Stationary Phase: Silica gel or Alumina
  • Mobile Phase: Liquid solvent
  • Uses: Purification, separation, and isolation of compounds.

Analytical Metrics and Formulas

Rf Value Definition

The Rf value is the ratio of the distance traveled by the compound to the distance traveled by the solvent front.

Formula: Rf = (Distance traveled by solute) / (Distance traveled by solvent)

Statistical Analysis: Standard Deviation

Standard deviation (SD) is the statistical measure of the spread of data around the mean.

Formula: SD = √[Σ(x – x̄)² / (n – 1)]

  • Lower SD: Indicates higher precision.
  • Higher SD: Indicates lower precision.

Formal Potential (E°’)

Formal potential is the electrode potential measured under specific experimental conditions such as pH, ionic strength, and complex formation.

HETP and Column Efficiency

HETP (Height Equivalent to a Theoretical Plate) is the height of a chromatographic column equivalent to one theoretical plate.

Formula: H = L / N

Where:

  • H: HETP
  • L: Column length
  • N: Number of theoretical plates

Note: Lower HETP indicates higher column efficiency.

Partition Coefficient

The partition coefficient is the ratio of the concentration of a solute in two immiscible liquids at equilibrium.

Formula: K = C1 / C2

Capacity Factor

The capacity factor is a measure of the retention of a solute in chromatography.

Formula: k’ = (tR – tM) / tM

Where:

  • tR: Retention time
  • tM: Dead time (void time)

Classification of Electrodes

1. Electrode of the First Kind

Consists of a pure metal in contact with a solution containing its own metal ions. The potential depends on the ion concentration.

  • General Representation: M(s) | Mn+
  • Electrode Reaction: Mn+ + ne → M(s)
  • Examples: Zn | Zn2+, Cu | Cu2+

2. Electrode of the Second Kind

Consists of a metal covered with its sparingly soluble salt, immersed in a solution containing the anion of that salt.

  • General Representation: M | MX(s) | X
  • Electrode Reaction: MX(s) + e → M(s) + X
  • Examples: Ag | AgCl | Cl (Silver–Silver Chloride), Hg | Hg2Cl2 | Cl (Calomel)

3. Electrode of the Third Kind

Consists of a metal coated with a sparingly soluble salt, immersed in a solution containing another metal ion that forms an insoluble salt with the same anion.

  • General Representation: M | MX1 | MX2 | M2n+
  • Example: Silver–Silver Sulfide electrode used for determining heavy metal ions like Pb2+, Cd2+, and Hg2+.
  • Electrode Reaction (Example): Ag2S + 2e → 2Ag + S2-