Chemical equilibrium
Chemical equilibrium is a fundamental concept in chemistry that describes a state in which the concentrations of reactants and products remain constant over time, indicating that the rates of the forward and reverse reactions are balanced. This state does not imply that the reactions have stopped; instead, they continue to occur at equal rates, which is referred to as dynamic equilibrium. In many cases, this means that the amounts of reactants and products present are not equal, and the reaction can shift to favor either side depending on external conditions.
The idea of reversible chemical reactions was first proposed by the French chemist Claude-Louis Berthollet in the early 19th century. Later, the law of mass action, developed by Norwegian chemists Peter Waage and Cato Maximilian Guldberg, established that a level of equilibrium could be achieved in all chemical reactions, regardless of the direction from which equilibrium is approached. The equilibrium constant (K) is a key concept, representing the ratio of the concentrations of products to reactants at equilibrium.
Understanding chemical equilibrium is crucial for various applications in chemistry and industry, as it governs how reactions are controlled and optimized in processes ranging from manufacturing to biological systems.
Chemical equilibrium
The concept of equilibrium is a relatively simple one. "Equilibrium" describes a state in which any and all opposing forces are balanced, remaining in constant proportion to one another. It is an important concept in chemistry because some chemical reactions are reversible, meaning that the end product of the reaction tends to revert in time to the initial reactants. For example, sodium carbonate (Na2CO3) reacts with calcium chloride (CaCl2) to produce calcium carbonate (CaCO3) and sodium chloride (NaCl), better known as common table salt. If the resulting calcium carbonate and sodium chloride remain in contact in sufficient quantities, however, a certain amount of both will undergo the reverse reaction, combining to re-form sodium carbonate and calcium chloride. When the system of such a reaction reaches a point where all substances involved, reactants and products alike, are present in constant proportions, the system is said to be in "chemical equilibrium."
![ChemicalEquilibrium. The symbol for chemical equilibrium. By L'Aquatique (Own work) [Public domain], via Wikimedia Commons 87321474-93062.jpg](https://imageserver.ebscohost.com/img/embimages/ers/sp/embedded/87321474-93062.jpg?ephost1=dGJyMNHX8kSepq84xNvgOLCmsE2epq5Srqa4SK6WxWXS)
![ChemicalEquilibrium. Plot of time versus concentration for two species in Chemical Equilibrium. By Fintelia (Own work) [CC-BY-SA-3.0 (http://creativecommons.org/licenses/by-sa/3.0) or GFDL (http://www.gnu.org/copyleft/fdl.html)], via Wikimedia Commons 87321474-93063.jpg](https://imageserver.ebscohost.com/img/embimages/ers/sp/embedded/87321474-93063.jpg?ephost1=dGJyMNHX8kSepq84xNvgOLCmsE2epq5Srqa4SK6WxWXS)
In its most basic form, chemical equilibrium means that the overall reaction occurring between one or more elements is satisfied, and there is no pressure for the reaction to proceed in one direction over the other. The phenomenon is analogous to two identical masses sitting on opposite ends of a seesaw; if no extra force is applied by either mass, the seesaw will remain in a state of equilibrium, with both ends up in the air.
Brief History
In 1803, French chemist Claude-Louis Berthollet (1748–1822) became the first to propose the idea that a chemical reaction can be reversible. While accompanying Napoleon Bonaparte (1769–1821) on an expedition through Egypt several years earlier, he had observed the formation of sodium carbonate along the edges of a salt lake—the result of limestone, a form of calcium carbonate, reacting with the sodium chloride in the water, the reverse of the sodium carbonate–calcium chloride reaction with which he was already familiar. Based on his observations, Berthollet determined that the overall concentration of the initial reactants in a chemical reaction determines the overall concentration of the final product or products.
In the 1860s and 1870s, Norwegian chemists and brothers-in-law Peter Waage (1833–1900) and Cato Maximilian Guldberg (1836–1902) demonstrated the law of mass action, which states that a level of equilibrium is achieved in all chemical reactions and that chemical equilibrium can be approached from either direction, forward or reverse. In 1877, Dutch chemist Jacobus van ’t Hoff (1852–1911) independently developed an equation that supported Waage and Guldberg’s conclusions and better described the functions of concentrations and their effect on equilibrium.
Overview
Chemical equilibrium refers to a chemical reaction in which no net change in the concentration of either reactants or products is occurring over time. This does not necessarily mean that the chemical reaction simply stops occurring (although this may sometimes be the case); rather, it simply means that the rate of formation of the products, be it zero or nonzero, is balanced by the rate at which the products revert to the reactants, causing the amounts of the reactants and the products to achieve a persistent ratio. When a reaction in chemical equilibrium still continues to occur, the system is said to be in "dynamic equilibrium." If the reaction has ceased in both directions, it is in "static equilibrium." In most cases of chemical equilibrium, the amounts of reactants and products are not equal, meaning that there is typically more reactant present than product, or vice versa.
The equation for a reaction in chemical equilibrium can be expressed in terms of the concentration of reactants and products. Given the chemical equation aA + bB ⇋ cC + dD, where the capital letters represent the reactants and the products and the lowercase italic letters represent the stoichiometric coefficients (the number of molecules of each reactant or product), the equilibrium equation for this same reaction would be written as follows, where K represents the equilibrium constant of this particular reaction and [X] is equal to the concentration of substance X:

Equilibrium will always occur at the same point during a particular chemical reaction, no matter whether the reaction begins with the reactants or the products. For example, if substances A and B are the reactants that combine to form substance C, the product, and substance C will eventually break apart and revert to substances A and B, then these two chemical reactions will occur continuously until they reach the same point of chemical equilibrium every time, whether the reaction started with substances A and B or with substance C.
Bibliography
Boikess, Robert S. How to Solve General Chemistry Problems. 8th ed. Upper Saddle River: Prentice, 2009. Print.
Bolrao, Daniela Paz, et. al. "Timescales of Chemical Equilibrium Between the Convecting Solid Mantle and Over- and Underlying Magma Oceans." Solid Earth, vol. 12, no. 2, 22 Feb. 2021, doi.org/10.5194/se-12-421-2021. Accessed 27 Dec. 2022.
Brown, Theodore L., et al. Chemistry: The Central Science. 12th ed. Upper Saddle River: Prentice, 2012. Print.
"Chemical Equilibrium." Britannica, www.britannica.com/science/chemical-equilibrium. Accessed 24 Jan. 2025.
Ferrer-Vinent, Ignacio J. "Teaching SciFinder Basics to Organic Chemistry Students." Science & Technology Libraries 31.2 (2012): 164–79. Print.
Francl, Michelle. "Back to Basics." Nature Chemistry 1.9 (2009): 681. Print.
Klein, David R. Organic Chemistry. 2nd ed. Hoboken: Wiley, 2015. Print.
Malone, Leo J., and Theodore O. Dolter. Basic Concepts of Chemistry. 9th ed. Hoboken: Wiley, 2013. Print.
Shindy, H. A. "Basics, Mechanisms and Properties in the Chemistry of Cyanine Dyes: A Review Paper." Mini-Reviews in Organic Chemistry 9.4 (2012): 352–60. Print.
Tro, Nivaldo J. Chemistry: A Molecular Approach. 3rd ed. Upper Saddle River: Prentice, 2014. Print.