You have isolated one of the isomeric dimethylcyclopentanes. on reaction it gives you 3 monochloroisomers, which of the possible pentanes is it?

How do i do this? they don't give any choices, so how do i figure it out?

To determine which of the possible pentanes is the isomeric dimethylcyclopentane that gives three monochloroisomers upon reaction, you need to consider the different structural isomers that could exist.

Start by drawing the structure of the isomeric dimethylcyclopentane. Remember that it has two methyl groups randomly attached to the cyclopentane ring. There are three possible isomers based on the different positions of these methyl groups:

1. 1,2-dimethylcyclopentane: The methyl groups are attached to the first and second carbon atoms of the cyclopentane ring.
2. 1,3-dimethylcyclopentane: The methyl groups are attached to the first and third carbon atoms of the cyclopentane ring.
3. 1,4-dimethylcyclopentane: The methyl groups are attached to the first and fourth carbon atoms of the cyclopentane ring.

Now consider the reaction that gives three monochloroisomers. In this reaction, one of the methyl groups in the dimethylcyclopentane is replaced by a chlorine atom. This substitution can occur at any of the three possible methyl groups.

For each dimethylcyclopentane isomer, imagine substituting the chlorine atom at one of its methyl groups. This will give you the corresponding monochloroisomer.

Next, count how many monochloroisomers are obtained for each dimethylcyclopentane isomer. If only one monochloroisomer is produced, the corresponding dimethylcyclopentane isomer is the correct one. However, if more than one monochloroisomer is obtained, that isomer cannot be the correct one.

By following this approach and considering the three possible dimethylcyclopentane isomers, you should be able to determine which isomer gives three monochloroisomers upon reaction.