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How many different acyclic isomers of C6H12 on hydrogenation with H2/Ni gives the same 3-methyl pentane?

Answer
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Hint:Compounds that have identical chemical formula but different structures are known as isomers of each other. Alkanes are obtained by the hydrogenation of alkenes.

Complete step by step answer:
The product obtained is 3-methyl pentane. In 3-methyl pentane, the parent compound is pentane which suggests that 3-methyl pentane is an alkane.
The structure of 3-methyl pentane is,
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3-methyl pentane is obtained by hydrogenation of alkenes with H2 in presence of nickel as a catalyst. All the alkenes are acyclic isomers of C6H12.
The alkenes which are acyclic isomers of C6H12 are as follows:
1.(S)-3-methylpent-1-ene
2.(R)-3-methylpent-1-ene
3.3-methylpentane
4.(Z)-3-methylpent-2-ene
5.(E)-3-methylpent-2-ene
The structures of the acyclic isomers are as follows:
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Note: The hydrogenation of alkenes with H2 in presence of nickel as a catalyst gives alkanes. The H2 gets added across the carbon-carbon double bond resulting in formation of an alkane. Thus, hydrogenation of an alkene is an addition reaction.
The hydrogenation of alkynes with H2 in presence of nickel as a catalyst gives alkenes. The H2 gets added across the carbon-carbon triple bond resulting in formation of an alkene. Thus, hydrogenation of an alkyne is an addition reaction.