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{{Short description|Redox reaction component}}
{{Short description|Redox reaction component}}
{{refimprove|date=October 2025}}
In [[chemistry]], a '''half reaction''' (or '''half-cell reaction''') is either the oxidation or reduction reaction component of a [[redox]] reaction. A half reaction is obtained by considering the change in [[oxidation state]]s of individual substances involved in the redox reaction.
Often, the concept of half reactions is used to describe what occurs in an [[electrochemical cell]], such as a [[Galvanic cell]] battery at one of the two electrodes.<ref>{{Cite book |last=Bard |first=Allen J. |title=Electrochemical methods: fundamentals and applications |last2=Faulkner |first2=Larry R. |last3=White |first3=Henry S. |date=2022 |publisher=Wiley |isbn=978-1-119-33406-4 |edition=Third |location=Hoboken, NJ}}</ref><ref>{{Cite book |last=Lefrou |first=Christine |title=Electrochemistry: the basics, with examples |last2=Fabry |first2=Pierre |last3=Poignet |first3=Jean-Claude |last4=Lefrou |first4=Christine |date=2012 |publisher=Springer |others=Université Joseph Fourier |isbn=978-3-662-50719-3 |location=Heidelberg}}</ref>


In [[chemistry]], a '''half reaction''' (or '''half-cell reaction''') is either the oxidation or reduction reaction component of a [[redox]] reaction. A half reaction is obtained by considering the change in [[oxidation state]]s of individual substances involved in the redox reaction.
In the case of [[metal plating]] and [[metal stripping]] the same half reaction can be written to describe both the metal undergoing oxidation (known as the [[anode]]) and the metal undergoing reduction (known as the [[cathode]]).
Often, the concept of half reactions is used to describe what occurs in an [[electrochemical cell]], such as a [[Galvanic cell]] battery. Half reactions can be written to describe both the metal undergoing oxidation (known as the [[anode]]) and the metal undergoing reduction (known as the [[cathode]]).


Half reactions are often used as a method of balancing redox reactions. For oxidation-reduction reactions in acidic conditions, after balancing the atoms and oxidation numbers, one will need to add {{chem2|H+}} ions to balance the hydrogen ions in the half reaction. For oxidation-reduction reactions in basic conditions, after balancing the atoms and oxidation numbers, first treat it as an acidic solution and then add {{chem2|OH-}} ions to balance the {{chem2|H+}} ions in the half reactions (which would give {{chem2|H2O}}).
Half reactions are often used as a method of balancing redox reactions. For oxidation-reduction reactions in acidic conditions, after balancing the atoms and oxidation numbers, one will need to add {{chem2|H+}} ions to balance the hydrogen ions in the half reaction. For oxidation-reduction reactions in basic conditions, after balancing the atoms and oxidation numbers, first treat it as an acidic solution and then add {{chem2|OH-}} ions to balance the {{chem2|H+}} ions in the half reactions (which would give {{chem2|H2O}}).


==Example: Zn and Cu Galvanic cell==
==Example: Zn and Cu galvanic cell==
[[File:Galvanic cell with no cation flow.svg|thumb|right|300px|Galvanic cell]]
[[File:Galvanic cell with no cation flow.svg|thumb|right|300px|Galvanic cell]]


Consider the Galvanic cell shown in the adjacent image: it is constructed with a piece of [[zinc]] (Zn) submerged in a solution of [[zinc sulfate]] ({{chem2|ZnSO4}}) and a piece of [[copper]] (Cu) submerged in a solution of [[copper(II) sulfate]] ({{chem2|CuSO4}}). The overall reaction is:
Consider the Galvanic cell shown in the adjacent image: it is constructed with a piece of [[zinc]] (Zn) submerged in a solution of [[zinc sulfate]] ({{chem2|ZnSO4}}) and a piece of [[copper]] (Cu) submerged in a solution of [[copper(II) sulfate]] ({{chem2|CuSO4}}). The overall reaction is:


:<chem>Zn_{(s)}{} + CuSO4_{(aq)} -> ZnSO4_{(aq)}{} + Cu_{(s)}</chem>
:{{chem2|Zn(s) + CuSO4(aq) -> ZnSO4(aq) + Cu(s)}}


At the Zn anode, oxidation takes place (the metal loses electrons). This is represented in the following oxidation half reaction (note that the electrons are on the products side):
At the Zn anode, oxidation takes place (the metal loses electrons). This is represented in the following oxidation half reaction (note that the electrons are on the products side):


:<chem>Zn_{(s)} -> Zn^2+ + 2e-</chem>
:{{chem2|Zn(s) -> Zn(2+) + 2 e-}}


At the Cu cathode, reduction takes place (electrons are accepted). This is represented in the following reduction half reaction (note that the electrons are on the reactants side):
At the Cu cathode, reduction takes place (electrons are accepted). This is represented in the following reduction half reaction (note that the electrons are on the reactants side):


:<chem>Cu^2+ + 2e- -> Cu_{(s)}</chem>
:{{chem2|Cu(2+) + 2 e- -> Cu(s)}}


==Example: oxidation of magnesium==
==Example: oxidation of magnesium==
[[File:11. Добивање базен оксид.webm|thumb|right|280px|Experiment showing synthesis of a basic oxide. Magnesium ribbon is ignited by burner. Magnesium burns emitting intense light and forming magnesium oxide (MgO).]]
[[File:11. Добивање базен оксид.webm|thumb|right|280px|Experiment showing synthesis of a basic oxide. Magnesium ribbon is ignited by burner. Magnesium burns emitting intense light and forming magnesium oxide (MgO).]]
[[File:Magnesium ribbon burning.jpg|thumb|300px|Photograph of a burning magnesium ribbon with very short exposure to obtain oxidation detail.]]
[[File:Magnesium ribbon burning.jpg|thumb|300px|Photograph of a burning magnesium ribbon with very short exposure to obtain oxidation detail.]]
Consider the example burning of magnesium ribbon (Mg). When magnesium burns, it combines with oxygen ({{chem2|O2}}) from the air to form magnesium oxide (MgO) according to the following equation:
Consider the example burning of magnesium ribbon (Mg). When magnesium burns, it combines with oxygen ({{chem2|O2}}) from the air to form [[magnesium oxide]] (MgO) according to the following equation:


:<chem>2Mg_{(s)}{} + O2_{(g)} -> 2MgO_{(s)}</chem>
:{{chem2|2 Mg(s) + O2(g) -> 2 MgO(s)}}


Magnesium oxide is an ionic compound containing {{chem2|Mg(2+)}} and {{chem2|O(2-)}} ions whereas {{chem2|Mg_{(s)} }} and {{chem2|O_{2(g)} }} are elements with no charges.  
Magnesium oxide is an [[Salt (chemistry)|ionic compound]] containing {{chem2|Mg(2+)}} and {{chem2|O(2-)}} ions whereas Mg(s) and {{chem2|O2(g)}} are elements with no charges.  
The {{chem2|Mg_{(s)} }} with zero charge gains a +2 charge going from the reactant side to product side, and the {{chem2|O_{2(g)} }}  with zero charge gains a −2 charge. This is because when {{chem2|Mg_{(s)} }} becomes {{chem2|Mg(2+)}}, it loses 2 electrons. Since there are 2 Mg on left side, a total of 4 electrons are lost according to the following oxidation half reaction:
The Mg(s) with zero charge gains a +2 charge going from the reactant side to product side, and the {{chem2|O2(g)}}  with zero charge gains a −2 charge. This is because when Mg(s) becomes {{chem2|Mg(2+)}}, it loses 2 electrons. Since there are 2 Mg on left side, a total of 4 electrons are lost according to the following oxidation half reaction:


:<chem>2Mg_{(s)} -> 2Mg^2+ + 4e-</chem>
:{{chem2|2 Mg(s) -> 2 Mg(2+) + 4 e-}}


On the other hand, {{chem2|O2}} was reduced: its oxidation state goes from 0 to −2. Thus, a reduction half reaction can be written for the O2 as it gains 4 electrons:
On the other hand, {{chem2|O2}} was reduced: its oxidation state goes from 0 to −2. Thus, a reduction half reaction can be written for the {{chem2|O2}} as it gains 4 electrons:


:<chem>O2_{(g)}{} + 4e- -> 2O^2-</chem>
:{{chem2|O2(g) + 4 e- -> 2 O(2-)}}


The overall reaction is the sum of both half reactions:
The overall reaction is the sum of both half reactions:


:<chem>2Mg_{(s)}{} + O2_{(g)}{} + 4e- -> 2Mg^2+ + 2O^2- + 4e-</chem>
:{{chem2|2 Mg(s) + O2(g) + 4 e- -> 2 Mg(2+) + 2 O(2-) + 4 e-}}


When chemical reaction, especially, redox reaction takes place, we do not see the electrons as they appear and disappear during the course of the reaction. What we see is the reactants (starting material) and end products. Due to this, electrons appearing on both sides of the equation are canceled. After canceling, the equation is re-written as
When chemical reaction, especially, redox reaction takes place, we do not see the electrons as they appear and disappear during the course of the reaction. What we see is the reactants (starting material) and end products. Due to this, electrons appearing on both sides of the equation are canceled. After canceling, the equation is re-written as


:<chem>2Mg_{(s)}{} + O2_{(g)} -> 2Mg^2+ + 2O^2-</chem>
:{{chem2|2 Mg(s) + O2(g) -> 2 Mg(2+) + 2 O(2-)}}


Two ions, positive ({{chem2|Mg(2+)}}) and negative ({{chem2|O(2-)}}) exist on product side and they combine immediately to form a compound magnesium oxide (MgO) due to their opposite charges (electrostatic attraction). In any given oxidation-reduction reaction, there are two half reactions—oxidation half reaction and reduction half reaction. The sum of these two half reactions is the oxidation–reduction reaction.
Two ions, positive ({{chem2|Mg(2+)}}) and negative ({{chem2|O(2-)}}) exist on product side and they combine immediately to form a compound magnesium oxide (MgO) due to their opposite charges (electrostatic attraction). In any given oxidation-reduction reaction, there are two half reactions—oxidation half reaction and reduction half reaction. The sum of these two half reactions is the oxidation–reduction reaction.
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Consider the reaction below:
Consider the reaction below:


:<chem>Cl2 + 2Fe^2+ -> 2Cl- + 2Fe^3+</chem>
:{{chem2|Cl2 + 2 Fe(2+) -> 2 Cl- + 2 Fe(3+)}}


The two elements involved, [[iron]] and [[chlorine]], each change oxidation state; iron from +2 to +3, chlorine from 0 to &minus;1. There are then effectively two ''half'' reactions occurring. These changes can be represented in formulas by inserting appropriate [[electron]]s into each half reaction:
The two elements involved, [[iron]] and [[chlorine]], each change oxidation state; iron from +2 to +3, chlorine from 0 to &minus;1. There are then effectively two ''half'' reactions occurring. These changes can be represented in formulas by inserting appropriate [[electron]]s into each half reaction:


:<math chem>\begin{align}
:{{chem2|Fe(2+) -> Fe(3+) + e-}}
& \ce{Fe^2+ -> Fe^3+ + e-} \\
:{{chem2|Cl2 + 2 e- -> 2 Cl-}}
& \ce{Cl2 + 2e- -> 2Cl-}
\end{align}</math>


Given two half reactions it is possible, with knowledge of appropriate electrode potentials, to arrive at the complete (original) reaction the same way. The decomposition of a reaction into half reactions is key to understanding a variety of chemical processes. For example, in the above reaction, it can be shown that this is a [[redox reaction]] in which Fe is oxidised, and Cl is reduced. Note the transfer of electrons from Fe to Cl. Decomposition is also a way to simplify the balancing of a [[chemical equation]]. A chemist can atom balance and charge balance one piece of an equation at a time.
Given two half reactions it is possible, with knowledge of appropriate electrode potentials, to arrive at the complete (original) reaction the same way. The decomposition of a reaction into half reactions is key to understanding a variety of chemical processes. For example, in the above reaction, it can be shown that this is a [[redox reaction]] in which Fe is oxidised, and Cl is reduced. Note the transfer of electrons from Fe to Cl. Decomposition is also a way to simplify the balancing of a [[chemical equation]]. A chemist can atom balance and charge balance one piece of an equation at a time.


For example:
For example:
* {{chem2|Fe(2+) -> Fe(3+) + e-}} becomes {{chem2|2Fe(2+) -> 2Fe(3+) + 2e-}}
* {{chem2|Fe(2+) -> Fe(3+) + e-}} becomes {{chem2|2 Fe(2+) -> 2 Fe(3+) + 2e-}}
* is added to {{chem2|Cl2 + 2e- -> 2Cl-}}
* is added to {{chem2|Cl2 + 2 e- -> 2 Cl-}}
* and finally becomes {{chem2|Cl2 + 2Fe(2+) -> 2Cl- + 2Fe(3+)}}
* and finally becomes {{chem2|Cl2 + 2 Fe(2+) -> 2 Cl- + 2 Fe(3+)}}


It is also possible and sometimes necessary to consider a half reaction in either basic or acidic conditions, as there may be an acidic or basic [[electrolyte]] in the [[redox reaction]]. Due to this electrolyte it may be more difficult to satisfy the balance of both the atoms and charges. This is done by adding {{chem2|H2O, OH-, e-}}, and/or {{chem2|H+}} to either side of the reaction until both atoms and charges are balanced.
It is also possible and sometimes necessary to consider a half reaction in either basic or acidic conditions, as there may be an acidic or basic [[electrolyte]] in the [[redox reaction]]. Due to this electrolyte it may be more difficult to satisfy the balance of both the atoms and charges. This is done by adding {{chem2|H2O, OH-, e-}}, and/or {{chem2|H+}} to either side of the reaction until both atoms and charges are balanced.
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Consider the half reaction below:
Consider the half reaction below:


: <chem>PbO2 -> PbO</chem>
:{{chem2|PbO2 -> PbO}}


{{chem2|OH-, H2O}}, and {{chem2|e-}} can be used to balance the charges and atoms in basic conditions, as long as it is assumed that the reaction is in water.
{{chem2|OH-, H2O}}, and {{chem2|e-}} can be used to balance the charges and atoms in basic conditions, as long as it is assumed that the reaction is in water.


: <chem>2e- + H2O + PbO2 -> PbO + 2OH-</chem>
:{{chem2|2 e- + H2O + PbO2 -> PbO + 2 OH-}}


Again consider the half reaction below:
Again consider the half reaction below:


: <chem>PbO2 -> PbO</chem>
:{{chem2|PbO2 -> PbO}}


{{chem2|H+, H2O}}, and {{chem2|e-}} can be used to balance the charges and atoms in acidic conditions, as long as it is assumed that the reaction is in water.
{{chem2|H+, H2O}}, and {{chem2|e-}} can be used to balance the charges and atoms in acidic conditions, as long as it is assumed that the reaction is in water.


: <chem>2e- + 2H+ + PbO2 -> PbO + H2O</chem>
:{{chem2|2 e- + 2 H+ + PbO2 -> PbO + H2O}}


Notice that both sides are both charge balanced and atom balanced.
Notice that both sides are both charge balanced and atom balanced.


Often there will be both {{chem2|H+}} and {{chem2|OH-}} present in acidic and basic conditions but that the resulting reaction of the two ions will yield water, {{chem2|H2O}} (shown below):
Often there will be both {{chem2|H+}} and {{chem2|OH-}} present in acidic and basic conditions but that the resulting reaction of the two ions will yield water.


: <chem>H+ + OH- -> H2O</chem>
:{{chem2|H+ + OH- -> H2O}}


== See also ==
== See also ==

Latest revision as of 20:39, 31 October 2025

Template:Short description Template:Refimprove In chemistry, a half reaction (or half-cell reaction) is either the oxidation or reduction reaction component of a redox reaction. A half reaction is obtained by considering the change in oxidation states of individual substances involved in the redox reaction. Often, the concept of half reactions is used to describe what occurs in an electrochemical cell, such as a Galvanic cell battery at one of the two electrodes.[1][2]

In the case of metal plating and metal stripping the same half reaction can be written to describe both the metal undergoing oxidation (known as the anode) and the metal undergoing reduction (known as the cathode).

Half reactions are often used as a method of balancing redox reactions. For oxidation-reduction reactions in acidic conditions, after balancing the atoms and oxidation numbers, one will need to add Template:Chem2 ions to balance the hydrogen ions in the half reaction. For oxidation-reduction reactions in basic conditions, after balancing the atoms and oxidation numbers, first treat it as an acidic solution and then add Template:Chem2 ions to balance the Template:Chem2 ions in the half reactions (which would give Template:Chem2).

Example: Zn and Cu galvanic cell

File:Galvanic cell with no cation flow.svg
Galvanic cell

Consider the Galvanic cell shown in the adjacent image: it is constructed with a piece of zinc (Zn) submerged in a solution of zinc sulfate (Template:Chem2) and a piece of copper (Cu) submerged in a solution of copper(II) sulfate (Template:Chem2). The overall reaction is:

Template:Chem2

At the Zn anode, oxidation takes place (the metal loses electrons). This is represented in the following oxidation half reaction (note that the electrons are on the products side):

Template:Chem2

At the Cu cathode, reduction takes place (electrons are accepted). This is represented in the following reduction half reaction (note that the electrons are on the reactants side):

Template:Chem2

Example: oxidation of magnesium

File:11. Добивање базен оксид.webm
Experiment showing synthesis of a basic oxide. Magnesium ribbon is ignited by burner. Magnesium burns emitting intense light and forming magnesium oxide (MgO).
File:Magnesium ribbon burning.jpg
Photograph of a burning magnesium ribbon with very short exposure to obtain oxidation detail.

Consider the example burning of magnesium ribbon (Mg). When magnesium burns, it combines with oxygen (Template:Chem2) from the air to form magnesium oxide (MgO) according to the following equation:

Template:Chem2

Magnesium oxide is an ionic compound containing Template:Chem2 and Template:Chem2 ions whereas Mg(s) and Template:Chem2 are elements with no charges. The Mg(s) with zero charge gains a +2 charge going from the reactant side to product side, and the Template:Chem2 with zero charge gains a −2 charge. This is because when Mg(s) becomes Template:Chem2, it loses 2 electrons. Since there are 2 Mg on left side, a total of 4 electrons are lost according to the following oxidation half reaction:

Template:Chem2

On the other hand, Template:Chem2 was reduced: its oxidation state goes from 0 to −2. Thus, a reduction half reaction can be written for the Template:Chem2 as it gains 4 electrons:

Template:Chem2

The overall reaction is the sum of both half reactions:

Template:Chem2

When chemical reaction, especially, redox reaction takes place, we do not see the electrons as they appear and disappear during the course of the reaction. What we see is the reactants (starting material) and end products. Due to this, electrons appearing on both sides of the equation are canceled. After canceling, the equation is re-written as

Template:Chem2

Two ions, positive (Template:Chem2) and negative (Template:Chem2) exist on product side and they combine immediately to form a compound magnesium oxide (MgO) due to their opposite charges (electrostatic attraction). In any given oxidation-reduction reaction, there are two half reactions—oxidation half reaction and reduction half reaction. The sum of these two half reactions is the oxidation–reduction reaction.

Half-reaction balancing method

Consider the reaction below:

Template:Chem2

The two elements involved, iron and chlorine, each change oxidation state; iron from +2 to +3, chlorine from 0 to −1. There are then effectively two half reactions occurring. These changes can be represented in formulas by inserting appropriate electrons into each half reaction:

Template:Chem2
Template:Chem2

Given two half reactions it is possible, with knowledge of appropriate electrode potentials, to arrive at the complete (original) reaction the same way. The decomposition of a reaction into half reactions is key to understanding a variety of chemical processes. For example, in the above reaction, it can be shown that this is a redox reaction in which Fe is oxidised, and Cl is reduced. Note the transfer of electrons from Fe to Cl. Decomposition is also a way to simplify the balancing of a chemical equation. A chemist can atom balance and charge balance one piece of an equation at a time.

For example:

It is also possible and sometimes necessary to consider a half reaction in either basic or acidic conditions, as there may be an acidic or basic electrolyte in the redox reaction. Due to this electrolyte it may be more difficult to satisfy the balance of both the atoms and charges. This is done by adding Template:Chem2, and/or Template:Chem2 to either side of the reaction until both atoms and charges are balanced.

Consider the half reaction below:

Template:Chem2

Template:Chem2, and Template:Chem2 can be used to balance the charges and atoms in basic conditions, as long as it is assumed that the reaction is in water.

Template:Chem2

Again consider the half reaction below:

Template:Chem2

Template:Chem2, and Template:Chem2 can be used to balance the charges and atoms in acidic conditions, as long as it is assumed that the reaction is in water.

Template:Chem2

Notice that both sides are both charge balanced and atom balanced.

Often there will be both Template:Chem2 and Template:Chem2 present in acidic and basic conditions but that the resulting reaction of the two ions will yield water.

Template:Chem2

See also

References

Template:Reflist

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