Electrochemical Cells


Electrochemical Cells

Electrochemical cells are devices that convert chemical energy into electrical energy or vice versa through redox reactions. These cells are fundamental to electrochemistry and are broadly classified into two types: galvanic (or voltaic) cells and electrolytic cells. Understanding their principles, components, and functions is crucial for various applications, including batteries, fuel cells, and electroplating.

Galvanic Cells

Galvanic cells, also known as voltaic cells, generate electrical energy from spontaneous redox reactions. They consist of two half-cells, each containing an electrode and an electrolyte. The two half-cells are connected by a salt bridge or a porous partition that allows ions to flow between them while preventing the mixing of different electrolytes.

Components of a Galvanic Cell

  • Anode: The electrode where oxidation occurs (loss of electrons).
  • Cathode: The electrode where reduction occurs (gain of electrons).
  • Electrolyte: The ionic medium in which the electrodes are immersed, which allows for ion flow.
  • Salt Bridge: A pathway that completes the circuit by allowing ions to flow without mixing the solutions.
  • External Circuit: A conductor that connects the anode and cathode and allows for electron flow.

Cell Notation

A galvanic cell's notation is written as follows:

[ \text{Anode} | \text{Anode Electrolyte} || \text{Cathode Electrolyte} | \text{Cathode} ]

Example of a Galvanic Cell

The Daniell cell is a classic example of a galvanic cell, consisting of a zinc electrode in a ZnSO₄ solution (anode) and a copper electrode in a CuSO₄ solution (cathode).

Electrolytic Cells

Electrolytic cells use electrical energy to drive non-spontaneous redox reactions. These cells are used in processes such as electroplating, electrolysis of water, and the production of chemicals like chlorine and sodium hydroxide.

Components of an Electrolytic Cell

  • Anode: The electrode where oxidation occurs (loss of electrons), but in this case, it is connected to the positive terminal of an external power source.
  • Cathode: The electrode where reduction occurs (gain of electrons), connected to the negative terminal of the external power source.
  • Electrolyte: The ionic medium that allows for ion flow.
  • External Power Source: A battery or power supply that provides the energy necessary to drive the non-spontaneous reaction.

Example of an Electrolytic Cell

The electrolysis of aqueous sodium chloride (NaCl) solution is a common example, where chlorine gas is produced at the anode, and hydrogen gas and hydroxide ions are produced at the cathode.

Differences Between Galvanic and Electrolytic Cells

Feature Galvanic Cells Electrolytic Cells
Spontaneity of Reaction Spontaneous Non-spontaneous
Purpose Convert chemical energy to electrical energy Use electrical energy to drive chemical reactions
Electrical Source No external source needed Requires external power source
Anode Polarity Negative Positive
Cathode Polarity Positive Negative
Electron Flow From anode to cathode From cathode to anode
Ion Flow in Salt Bridge From cathode to anode Not applicable (no salt bridge)
Examples Batteries, fuel cells Electroplating, electrolysis

Electrochemical Cell Reactions and Calculations

Cell Potential (E°cell)

The cell potential is the measure of the electromotive force (emf) of a cell. For a galvanic cell, it is given by the difference in reduction potentials of the two half-reactions:

[ E°{\text{cell}} = E°{\text{cathode}} - E°_{\text{anode}} ]

For a standard cell at 25°C (298 K), 1 atm, and with 1 M concentrations, the cell potential can be calculated using standard reduction potentials from electrochemical series tables.

Nernst Equation

The Nernst equation allows us to calculate the cell potential under non-standard conditions:

[ E_{\text{cell}} = E°_{\text{cell}} - \frac{RT}{nF} \ln Q ]

where:

  • ( E_{\text{cell}} ) is the cell potential under non-standard conditions.
  • ( E°_{\text{cell}} ) is the standard cell potential.
  • ( R ) is the universal gas constant (8.314 J/mol·K).
  • ( T ) is the temperature in Kelvin.
  • ( n ) is the number of moles of electrons transferred.
  • ( F ) is the Faraday constant (96485 C/mol).
  • ( Q ) is the reaction quotient.

Faraday's Laws of Electrolysis

Faraday's first law states that the amount of substance produced at an electrode during electrolysis is proportional to the quantity of electricity that passes through the electrolyte. Faraday's second law states that the amounts of different substances produced by the same quantity of electricity are proportional to their equivalent weights.

[ m = \left( \frac{M \cdot I \cdot t}{n \cdot F} \right) ]

where:

  • ( m ) is the mass of the substance produced (in grams).
  • ( M ) is the molar mass of the substance.
  • ( I ) is the current (in amperes).
  • ( t ) is the time (in seconds).
  • ( n ) is the number of moles of electrons required to produce one mole of the substance.
  • ( F ) is the Faraday constant.

Conclusion

Electrochemical cells are a cornerstone of modern chemistry and technology. Understanding the differences between galvanic and electrolytic cells, as well as the principles that govern their operation, is essential for students and professionals in the field. By mastering the concepts of cell potential, the Nernst equation, and Faraday's laws, one can predict and control the outcomes of electrochemical processes for a wide range of applications.