The number of possible isomers with side chains increases as the number of carbon aroms increases. The side chain can be considered as an alkane molecule that has lost a hydrogen atom. The fragment of the alkane that forms the side chain is called an alkyl group.
What does this even mean???
The number of possible isomers with side chains increases as the number of carbon aroms increases. The more carbon atoms you have, the greater possible side chains, or branching. Consider CH4. How many structural isomers are there? Just CH4.
Consider butane - you can have CH3CH2CH2CH3 (straight chain C), but you can also have a side chain, which will make it 2-methylpropane, CH3CH(CH3)CH3.
So here you have two possible isomers.
If you take pentane - there is CH3CH2CH2CH2CH3, but also 2-methylbutane with 1 side chain CH3CH(CH3)CH2CH3, and also 2,2-dimethylpropane CH3C(CH3)2CH3.
The side chain can be considered as an alkane molecule that has lost a hydrogen atom.Look at the bits in brackets - this is the side chain. Note that it is not CH4, but CH3. That's because it's bonded to a carbon atom in the backbone.
The fragment of the alkane that forms the side chain is called an alkyl group. Basically, the bits in the brackets, CH3, or C2H5 etc are just called alkyl groups.