Answer :

To determine the number of isomers for hexane [tex]$\left( C_6H_{14} \right)$[/tex], we need to understand that isomers are compounds with the same molecular formula but different structural arrangements. Hexane is an alkane with a molecular formula of [tex]$C_6H_{14}$[/tex]. Here are the possible structural arrangements for hexane:

1. n-Hexane: This is the straight-chain form of hexane with no branching.
2. 2-Methylpentane (Isohexane): This isomer features a single methyl group attached to the second carbon of a pentane chain.
3. 3-Methylpentane: Similar to 2-methylpentane, but the methyl group is attached to the third carbon.
4. 2,2-Dimethylbutane (Neopentane): Two methyl groups are attached to the second carbon of a butane chain.
5. 2,3-Dimethylbutane: One methyl group is attached to the second carbon and another to the third carbon of a butane chain.

These five different structures correspond to the five unique isomers of hexane. Therefore, the correct answer to the question is:

five
Five add up the sides five equal sides five