Redox#Balancing redox reactions

"Redox" is a portmanteau of the words "REDuction" and "OXidation." The term "redox" was first used in 1928.{{OEtymD|redox}}

Oxidation is a process in which a substance loses electrons. Reduction is a process in which a substance gains electrons.

The processes of oxidation and reduction occur simultaneously and cannot occur independently. In redox processes, the reductant transfers electrons to the oxidant. Thus, in the reaction, the reductant or reducing agent loses electrons and is oxidized, and the oxidant or oxidizing agent gains electrons and is reduced. The pair of an oxidizing and reducing agent that is involved in a particular reaction is called a redox pair. A redox couple is a reducing species and its corresponding oxidizing form,{{cite journal |journal= Pure and Applied Chemistry |volume= 92 |issue= 4 |title= Terminology of electrochemical methods of analysis (IUPAC Recommendations 2019) |first1= José M. |last1= Pingarrón |first2= Ján |last2= Labuda |first3= Jiří |last3= Barek |first4= Christopher M. A. |last4= Brett |first5= Maria Filomena |last5= Camões |first6= Miroslav |last6= Fojta |first7= D. Brynn |last7= Hibbert |year= 2020 |pages= 641–694 |doi= 10.1515/pac-2018-0109 |doi-access= free }} e.g., {{chem|link=Iron|Fe|2+}}/ {{chem|link=Iron|Fe|3+}}.The oxidation alone and the reduction alone are each called a half-reaction because two half-reactions always occur together to form a whole reaction.

In electrochemical reactions the oxidation and reduction processes do occur simultaneously but are separated in space.

{{Main|Oxidizing agent}}

Oxidation originally implied a reaction with oxygen to form an oxide. Later, the term was expanded to encompass substances that accomplished chemical reactions similar to those of oxygen. Ultimately, the meaning was generalized to include all processes involving the loss of electrons or the increase in the oxidation state of a chemical species.{{cite book |last1=Petrucci |first1=Ralph H. |last2=Harwood |first2=William S. |last3=Herring |first3=F. Geoffrey|title=General Chemistry: Principles and Modern applications |date=2017 |location=Toronto |isbn=978-0-13-293128-1 |edition=11th |publisher=Pearson }}{{rp|A49}} Substances that have the ability to oxidize other substances (cause them to lose electrons) are said to be oxidative or oxidizing, and are known as oxidizing agents, oxidants, or oxidizers. The oxidant removes electrons from another substance, and is thus itself reduced.{{rp|A50}} Because it "accepts" electrons, the oxidizing agent is also called an electron acceptor. Oxidants are usually chemical substances with elements in high oxidation states{{rp|159}} (e.g., {{chem|link=dinitrogen tetroxide|N|2|O|4}}, {{chem|link=permanganate|MnO|4|-}}, {{chem|link=chromium trioxide|CrO|3}}, {{chem|link=dichromate|Cr|2|O|7|2-}}, {{chem|link=Osmium(VIII) oxide|OsO|4}}), or else highly electronegative elements (e.g. O₂, F₂, Cl₂, Br₂, I₂) that can gain extra electrons by oxidizing another substance.{{rp|909}}

Oxidizers are oxidants, but the term is mainly reserved for sources of oxygen, particularly in the context of explosions. Nitric acid is a strong oxidizer.{{cite web |title=Nitric Acid Fact Sheet |url=https://essr.umd.edu/sites/default/files/2021-10/NitricAcidFactSheet.pdf |website=Department of Environmental Safety, Sustainability & Risk |publisher=University of Maryland |access-date=12 February 2024}}

{{Main|Reducing agent}}

Substances that have the ability to reduce other substances (cause them to gain electrons) are said to be reductive or reducing and are known as reducing agents, reductants, or reducers. The reductant transfers electrons to another substance and is thus itself oxidized.{{rp|159}} Because it donates electrons, the reducing agent is also called an electron donor. Electron donors can also form charge transfer complexes with electron acceptors. The word reduction originally referred to the loss in weight upon heating a metallic ore such as a metal oxide to extract the metal. In other words, ore was "reduced" to metal.{{cite book |last1=Whitten |first1=Kenneth W. |last2=Gailey |first2=Kenneth D. |last3=Davis |first3=Raymond E. |title=General Chemistry |date=1992 |publisher=Saunders College Publishin |isbn=0-03-072373-6 |page=147 |edition=4th}} Antoine Lavoisier demonstrated that this loss of weight was due to the loss of oxygen as a gas. Later, scientists realized that the metal atom gains electrons in this process. The meaning of reduction then became generalized to include all processes involving a gain of electrons. Reducing equivalent refers to chemical species which transfer the equivalent of one electron in redox reactions. The term is common in biochemistry.{{Cite book| vauthors = Jain JL | title = Fundamentals of Biochemistry | publisher = S. Chand | year = 2004 | isbn = 81-219-2453-7 }} A reducing equivalent can be an electron or a hydrogen atom as a hydride ion.{{Cite book|title=Lehninger Principles of Biochemistry | first1 = Albert L | last1 = Lehninger | first2 = David L | last2 = Nelson | first3 = Michael M | last3 = Cox | name-list-style = vanc |isbn=9781464126116|edition=Seventh|location=New York, NY|oclc=986827885|date = 2017-01-01}}

Reductants in chemistry are very diverse. Electropositive elemental metals, such as lithium, sodium, magnesium, iron, zinc, and aluminium, are good reducing agents. These metals donate electrons relatively readily.{{cite web | url=https://chemed.chem.purdue.edu/genchem/topicreview/bp/ch19/oxred_3.php#top | title=Oxidizing and Reducing Agents }}

Hydride transfer reagents, such as NaBH₄ and LiAlH₄, reduce by atom transfer: they transfer the equivalent of hydride or H⁻. These reagents are widely used in the reduction of carbonyl compounds to alcohols.{{cite book|last=Hudlický|first=Miloš|title=Reductions in Organic Chemistry |publisher=American Chemical Society |year=1996|location=Washington, D.C.|pages=429|isbn=978-0-8412-3344-7}}{{cite book|last=Hudlický|first=Miloš|title=Oxidations in Organic Chemistry|publisher=American Chemical Society|year=1990|location=Washington, D.C.|pages=[https://archive.org/details/oxidationsinorga00hudl/page/456 456]|isbn=978-0-8412-1780-5|url-access=registration|url=https://archive.org/details/oxidationsinorga00hudl/page/456}} A related method of reduction involves the use of hydrogen gas (H₂) as sources of H atoms.{{rp|288}}

{{Expand section|date=April 2023}}

Redox reactions can occur slowly, as in the formation of rust, or rapidly, as in the case of burning fuel. Electron transfer reactions are generally fast, occurring within the time of mixing.{{cite journal |last1=Mailloux |first1=Ryan J. |title=Teaching the fundamentals of electron transfer reactions in mitochondria and the production and detection of reactive oxygen species |journal=Redox Biology |date=April 2015 |volume=4 |pages=381–398 |doi=10.1016/j.redox.2015.02.001 |pmid=25744690 |pmc=4348434 }}

The mechanisms of atom-transfer reactions are highly variable because many kinds of atoms can be transferred. Such reactions can also be quite complex, involving many steps. The mechanisms of electron-transfer reactions occur by two distinct pathways, inner sphere electron transfer{{GoldBookRef|title=Inner-sphere electron transfer|file=I03052}} and outer sphere electron transfer.{{GoldBookRef|title=Outer-sphere electron transfer|file=O04351}}

Analysis of bond energies and ionization energies in water allows calculation of the thermodynamic aspects of redox reactions.{{cite web | url=https://uen.pressbooks.pub/introductorychemistry/chapter/bond-energy-and-enthalpy/ | title=Bond Energy and Enthalpy }}

Each half-reaction has a standard electrode potential (E{{su|p=o|b=cell}}), which is equal to the potential difference or voltage at equilibrium under standard conditions of an electrochemical cell in which the cathode reaction is the half-reaction considered, and the anode is a standard hydrogen electrode where hydrogen is oxidized:{{Cite book |title=Chemistry: the central science |date=2015 |publisher=Pearson |isbn=978-0-321-91041-7 |editor-last=Brown |editor-first=Theodore L. |edition=13 |location=Boston, Mass. |pages=Chapter 4}}

:{{1/2}}H₂ → H⁺ + e⁻

The electrode potential of each half-reaction is also known as its reduction potential (E{{su|p=o|b=red}}), or potential when the half-reaction takes place at a cathode. The reduction potential is a measure of the tendency of the oxidizing agent to be reduced. Its value is zero for H⁺ + e⁻ → {{1/2}}H₂ by definition, positive for oxidizing agents stronger than H⁺ (e.g., +2.866 V for F₂) and negative for oxidizing agents that are weaker than H⁺ (e.g., −0.763V for Zn²⁺).{{rp|873}}

For a redox reaction that takes place in a cell, the potential difference is:

:E{{su|p=o|b=cell}} = E{{su|p=o|b=cathode}} − E{{su|p=o|b=anode}}

However, the potential of the reaction at the anode is sometimes expressed as an oxidation potential:

:E{{su|p=o|b=ox}} = −E{{su|p=o|b=red}}

The oxidation potential is a measure of the tendency of the reducing agent to be oxidized but does not represent the physical potential at an electrode. With this notation, the cell voltage equation is written with a plus sign

:E{{su|p=o|b=cell}} = E{{su|p=o|b=red(cathode)}} + E{{su|p=o|b=ox(anode)}}

{{Unsourced section|date=December 2023}}File:Redox reaction.png

In the reaction between hydrogen and fluorine, hydrogen is being oxidized and fluorine is being reduced:

:{{chem2|H2 + F2 -> 2 HF}}

This spontaneous reaction releases a large amount of energy (542 kJ per 2 g of hydrogen) because two H-F bonds are much stronger than one H-H bond and one F-F bond. This reaction can be analyzed as two half-reactions. The oxidation reaction converts hydrogen to protons:

:{{chem2|H2 -> 2 H(+) + 2 e(-)}}

The reduction reaction converts fluorine to the fluoride anion:

:{{chem2|F2 + 2 e(-) -> 2 F(-)}}

The half-reactions are combined so that the electrons cancel:

:

The protons and fluoride combine to form hydrogen fluoride in a non-redox reaction:

:2 H⁺ + 2 F⁻ → 2 HF

The overall reaction is:

:{{chem2|H2 + F2 -> 2 HF}}

File:Galvanic cell with no cation flow.svg like the Galvanic cell pictured. The battery is made out of a zinc electrode in a ZnSO₄ solution connected with a wire and a porous disk to a copper electrode in a CuSO₄ solution.]]

In this type of reaction, a metal atom in a compound or solution is replaced by an atom of another metal. For example, copper is deposited when zinc metal is placed in a copper(II) sulfate solution:

:{{chem2|Zn (s) + CuSO4 (aq) -> ZnSO4 (aq) + Cu (s)}}

In the above reaction, zinc metal displaces the copper(II) ion from the copper sulfate solution, thus liberating free copper metal. The reaction is spontaneous and releases 213 kJ per 65 g of zinc.

The ionic equation for this reaction is:

:{{chem2|Zn + Cu(2+) -> Zn(2+) + Cu}}

As two half-reactions, it is seen that the zinc is oxidized:

:{{chem2|Zn -> Zn(2+) + 2 e(-)}}

And the copper is reduced:

:{{chem2|Cu(2+) + 2 e(-) -> Cu}}

• The reduction of nitrate to nitrogen in the presence of an acid (denitrification):

::{{chem2|2 NO3(-) + 10 e(-) + 12 H(+) -> N2 + 6 H2O}}

• The combustion of hydrocarbons, such as in an internal combustion engine, produces water, carbon dioxide, some partially oxidized forms such as carbon monoxide, and heat energy. Complete oxidation of materials containing carbon produces carbon dioxide.
• The stepwise oxidation of a hydrocarbon by oxygen, in organic chemistry, produces water and, successively: an alcohol, an aldehyde or a ketone, a carboxylic acid, and then a peroxide.

File:Rust screw.jpg or rust, which consists of hydrated iron(III) oxides Fe₂O₃·nH₂O and iron(III) oxide-hydroxide (FeO(OH), Fe(OH)₃), form when oxygen combines with other elements.]]

File:PyOx.JPG cubes]]

• The term corrosion refers to the electrochemical oxidation of metals in reaction with an oxidant such as oxygen. Rusting, the formation of iron oxides, is a well-known example of electrochemical corrosion: it forms as a result of the oxidation of iron metal. Common rust often refers to iron(III) oxide, formed in the following chemical reaction:

::{{chem2|4 Fe + 3 O2 -> 2 Fe2O3}}

• The oxidation of iron(II) to iron(III) by hydrogen peroxide in the presence of an acid:

::{{chem2|Fe(2+) -> Fe(3+) + e(-)}}

::{{chem2|H2O2 + 2 e(-) -> 2 OH(-)}}

:Here the overall equation involves adding the reduction equation to twice the oxidation equation, so that the electrons cancel:

::{{chem2|2 Fe(2+) + H2O2 + 2 H(+) -> 2 Fe(3+) + 2 H2O}}

A disproportionation reaction is one in which a single substance is both oxidized and reduced. For example, thiosulfate ion with sulfur in oxidation state +2 can react in the presence of acid to form elemental sulfur (oxidation state 0) and sulfur dioxide (oxidation state +4).

:{{chem2|S2O3(2-) + 2 H(+) -> S + SO2 + H2O}}

Thus one sulfur atom is reduced from +2 to 0, while the other is oxidized from +2 to +4.{{rp|176}}

Cathodic protection is a technique used to control the corrosion of a metal surface by making it the cathode of an electrochemical cell. A simple method of protection connects protected metal to a more easily corroded "sacrificial anode" to act as the anode. The sacrificial metal, instead of the protected metal, then corrodes.

Oxidation is used in a wide variety of industries, such as in the production of cleaning products and oxidizing ammonia to produce nitric acid.{{cn|date=February 2024}}

Redox reactions are the foundation of electrochemical cells, which can generate electrical energy or support electrosynthesis. Metal ores often contain metals in oxidized states, such as oxides or sulfides, from which the pure metals are extracted by smelting at high temperatures in the presence of a reducing agent. The process of electroplating uses redox reactions to coat objects with a thin layer of a material, as in chrome-plated automotive parts, silver plating cutlery, galvanization and gold-plated jewelry.{{cn|date=February 2024}}

{{Unsourced section|date=December 2023}}

File:Extremely overripe banana.jpg is an example of a redox reaction that takes place in most fruits and vegetables.]]

Many essential biological processes involve redox reactions. Before some of these processes can begin, iron must be assimilated from the environment.{{Cite book|chapter-url=https://www.degruyter.com/document/doi/10.1515/9783110589771-005|doi = 10.1515/9783110589771-005|chapter = Titles of Volumes 1–44 in the Metal Ions in Biological Systems Series|title = Metals, Microbes, and Minerals - the Biogeochemical Side of Life|year = 2021|pages = xxiii-xxiv|publisher = De Gruyter|isbn = 9783110588903|s2cid = 242013948}}

Cellular respiration, for instance, is the oxidation of glucose (C₆H₁₂O₆) to CO₂ and the reduction of oxygen to water. The summary equation for cellular respiration is:

:{{chem2|C6H12O6 + 6 O2 -> 6 CO2 + 6 H2O + Energy}}

The process of cellular respiration also depends heavily on the reduction of NAD⁺ to NADH and the reverse reaction (the oxidation of NADH to NAD⁺). Photosynthesis and cellular respiration are complementary, but photosynthesis is not the reverse of the redox reaction in cellular respiration:

:{{chem2|6 CO2 + 6 H2O + light energy -> C6H12O6 + 6 O2}}

Biological energy is frequently stored and released using redox reactions. Photosynthesis involves the reduction of carbon dioxide into sugars and the oxidation of water into molecular oxygen. The reverse reaction, respiration, oxidizes sugars to produce carbon dioxide and water. As intermediate steps, the reduced carbon compounds are used to reduce nicotinamide adenine dinucleotide (NAD⁺) to NADH, which then contributes to the creation of a proton gradient, which drives the synthesis of adenosine triphosphate (ATP) and is maintained by the reduction of oxygen. In animal cells, mitochondria perform similar functions.

{{See also|Membrane potential}}

The term redox state is often used to describe the balance of GSH/GSSG, NAD⁺/NADH and NADP⁺/NADPH in a biological system such as a cell or organ. The redox state is reflected in the balance of several sets of metabolites (e.g., lactate and pyruvate, beta-hydroxybutyrate and acetoacetate), whose interconversion is dependent on these ratios. Redox mechanisms also control some cellular processes. Redox proteins and their genes must be co-located for redox regulation according to the CoRR hypothesis for the function of DNA in mitochondria and chloroplasts.

Wide varieties of aromatic compounds are enzymatically reduced to form free radicals that contain one more electron than their parent compounds. In general, the electron donor is any of a wide variety of flavoenzymes and their coenzymes. Once formed, these anion free radicals reduce molecular oxygen to superoxide and regenerate the unchanged parent compound. The net reaction is the oxidation of the flavoenzyme's coenzymes and the reduction of molecular oxygen to form superoxide. This catalytic behavior has been described as a futile cycle or redox cycling.

File:VysokePece1.jpgs of Třinec Iron and Steel Works, Czech Republic]]

Minerals are generally oxidized derivatives of metals. Iron is mined as ores such as magnetite (Fe₃O₄) and hematite (Fe₂O₃). Titanium is mined as its dioxide, usually in the form of rutile (TiO₂). These oxides must be reduced to obtain the corresponding metals, often achieved by heating these oxides with carbon or carbon monoxide as reducing agents. Blast furnaces are the reactors where iron oxides and coke (a form of carbon) are combined to produce molten iron. The main chemical reaction producing the molten iron is:{{Ullmann |doi=10.1002/14356007.a14_461.pub2|title=Iron|year=2006|last1=Oeters|first1=Franz|last2=Ottow|first2=Manfred|last3=Meiler|first3=Heinrich|last4=Lüngen|first4=Hans Bodo|last5=Koltermann|first5=Manfred|last6=Buhr|first6=Andreas|last7=Yagi|first7=Jun-Ichiro|last8=Formanek|first8=Lothar|last9=Rose|first9=Fritz|last10=Flickenschild|first10=Jürgen|last11=Hauk|first11=Rolf|last12=Steffen|first12=Rolf|last13=Skroch|first13=Reiner|last14=Mayer-Schwinning|first14=Gernot|last15=Bünnagel|first15=Heinz-Lothar|last16=Hoff|first16=Hans-Georg}}

:{{chem2|Fe2O3 + 3 CO -> 2 Fe + 3 CO2}}

Electron transfer reactions are central to myriad processes and properties in soils, and redox potential, quantified as Eh (platinum electrode potential (voltage) relative to the standard hydrogen electrode) or pe (analogous to pH as −log electron activity), is a master variable, along with pH, that controls and is governed by chemical reactions and biological processes. Early theoretical research with applications to flooded soils and paddy rice production was seminal for subsequent work on thermodynamic aspects of redox and plant root growth in soils.{{cite book |doi=10.1016/S0065-2113(08)60633-1 |title=The Chemistry of Submerged Soils |series=Advances in Agronomy |date=1972 |last1=Ponnamperuma |first1=F.N. |volume=24 |pages=29–96 |isbn=978-0-12-000724-0 }} Later work built on this foundation, and expanded it for understanding redox reactions related to heavy metal oxidation state changes, pedogenesis and morphology, organic compound degradation and formation, free radical chemistry, wetland delineation, soil remediation, and various methodological approaches for characterizing the redox status of soils.{{cite journal |last1=Bartlett |first1=Richmond J. |last2=James |first2=Bruce R. |date=1991 |title=Redox chemistry of soils |journal=Advances in Agronomy |volume=39 |pages=151–208}}{{cite book|last1=James |first1=Bruce R. |title=Handbook of soil sciences: properties and processes |edition=second |last2=Brose |first2=Dominic A. |publisher=CRC Press |year=2012 |isbn=978-1-4398-0305-9 |editor-last1=Huang |editor-first1=Pan Ming |location=Boca Raton, Florida |pages=14-1 -- 14-24 |chapter=Oxidation-reduction phenomena |editor-last2=Li |editor-first2=Yuncong |editor-last3=Sumner |editor-first3=Malcolm E.}}

{{Main|List of chemistry mnemonics}}

The key terms involved in redox can be confusing.{{cite book

|last1= Robertson |first1= William

|title= More Chemistry Basics

|url= https://books.google.com/books?id=hIzuarlXtH4C&pg=PA82

|publisher= National Science Teachers Association

|year= 2010

|page= 82

|isbn=978-1-936137-74-9}}{{cite book

|last1= Phillips |first1= John

|last2= Strozak |first2= Victor

|last3= Wistrom |first3= Cheryl

|title= Chemistry: Concepts and Applications

|publisher= Glencoe McGraw-Hill

|year= 2000

|page= 558

|isbn= 978-0-02-828210-7}} For example, a reagent that is oxidized loses electrons; however, that reagent is referred to as the reducing agent. Likewise, a reagent that is reduced gains electrons and is referred to as the oxidizing agent.{{cite book

|last1= Rodgers |first1= Glen

|title= Descriptive Inorganic, Coordination, and Solid-State Chemistry

|url= https://books.google.com/books?id=g_ybia0hGw8C&pg=PA330

|publisher= Brooks/Cole, Cengage Learning

|year= 2012

|page= 330

|isbn=978-0-8400-6846-0}} These mnemonics are commonly used by students to help memorise the terminology:{{cite book

|last1= Zumdahl |first1= Steven

|last2= Zumdahl |first2= Susan

|title= Chemistry

|url= https://books.google.com/books?id=IdhYqXy37KIC&pg=PA160

|publisher= Houghton Mifflin

|year= 2009

|page= 160

|isbn=978-0-547-05405-6}}

• "OIL RIG" — oxidation is loss of electrons, reduction is gain of electrons
• "LEO the lion says GER [grr]" — loss of electrons is oxidation, gain of electrons is reduction
• "LEORA says GEROA" — the loss of electrons is called oxidation (reducing agent); the gain of electrons is called reduction (oxidizing agent).
• "RED CAT" and "AN OX", or "AnOx RedCat" ("an ox-red cat") — reduction occurs at the cathode and the anode is for oxidation
• "RED CAT gains what AN OX loses" – reduction at the cathode gains (electrons) what anode oxidation loses (electrons)
• "PANIC" – Positive Anode and Negative is Cathode. This applies to electrolytic cells which release stored electricity, and can be recharged with electricity. PANIC does not apply to cells that can be recharged with redox materials. These galvanic or voltaic cells, such as fuel cells, produce electricity from internal redox reactions. Here, the positive electrode is the cathode and the negative is the anode.

{{div col|colwidth=20em}}

• Anaerobic respiration
• Bessemer process
• Bioremediation
• Calvin cycle
• Chemical equation
• Chemical looping combustion
• Citric acid cycle
• Electrochemical series
• Electrochemistry
• Electrolysis
• Electron equivalent
• Electron transport chain
• Electrosynthesis
• Galvanic cell
• Hydrogenation
• Membrane potential
• Microbial fuel cell
• Murburn concept
• Nucleophilic abstraction
• Organic redox reaction
• Oxidative addition and reductive elimination
• Oxidative phosphorylation
• Partial oxidation
• Pro-oxidant
• Redox gradient
• Redox potential
• Redox therapy
• Reducing agent
• Reducing atmosphere
• Reduction potential
• Thermic reaction
• Transmetalation
• Sulfur cycle

{{div col end}}

{{reflist}}

• {{cite book |editor1-last=Schüring |editor1-first=J. |editor2-last=Schulz |editor2-first=H. D. |editor3-last=Fischer |editor3-first=W. R. |editor4-last=Böttcher |editor4-first=J. |editor5-last=Duijnisveld |editor5-first=W. H. |title=Redox: Fundamentals, Processes and Applications |date=1999 |publisher=Springer-Verlag |location=Heidelberg |isbn=978-3-540-66528-1 |pages=246 |hdl=10013/epic.31694.d001 }}
• {{Cite book|doi=10.1021/bk-2011-1071|isbn=978-0-8412-2652-4|title=Aquatic Redox Chemistry|series=ACS Symposium Series|year=2011|editor1-last=Tratnyek|editor1-first=Paul G.|editor2-last=Grundl|editor2-first=Timothy J.|editor3-last=Haderlein|editor3-first=Stefan B.|volume=1071 }}

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{{Commons category|Redox reactions}}

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