Alkenes undergo many more reactions than alkanes. These can be used to differentiate them (tell them apart). These reactions are also useful in converting one organic compound into another.
For all of these reagents, there would be no reaction if an alkane was used instead.
Hydrogenation
Reagent: H2Conditions: Catalyst required (often Ni or Pd/C)
This is an addition reaction.![](data:image/png;base64,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)
Reagent: H2
Oxidation
Reagent: alkaline potassium permanganate (MnO4-/OH-)
Although -OH groups are added, we classify this reaction as oxidation, not "addition".
The product is called a "diol" (two alcohol groups). in this example, the name would be cyclohexane-1,2-diol.
Reagent: alkaline potassium permanganate (MnO4-/OH-)
Although -OH groups are added, we classify this reaction as oxidation, not "addition".
The product is called a "diol" (two alcohol groups). in this example, the name would be cyclohexane-1,2-diol.
Hydration
Reagent: dilute acid (sulfuric or phosphoric)
This is also an addition reaction:
If the alkene has three (or more) carbon atoms, there are two possible structures, depending upon which carbon atom the -OH group binds to (and, therefore, which carbon the -H atom attaches to). One product is more common (major product) than the other (minor product). Working out which is Major and which is minor is determined using Markovnikov's Rule.
Reagent: dilute acid (sulfuric or phosphoric)
This is also an addition reaction:
If the alkene has three (or more) carbon atoms, there are two possible structures, depending upon which carbon atom the -OH group binds to (and, therefore, which carbon the -H atom attaches to). One product is more common (major product) than the other (minor product). Working out which is Major and which is minor is determined using Markovnikov's Rule.
Halogenation
Reagent: HX (e.g. HBr)
Much the same as hydration, this is an addition reaction, and Markovnikov's Rule usually has to be applied to these examples.
![](data:image/png;base64,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)
Reagent: HX (e.g. HBr)
Much the same as hydration, this is an addition reaction, and Markovnikov's Rule usually has to be applied to these examples.
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