What are the correct IUPAC names for

triisopropylmethane and
2,2-dimethylcyclopentane?

To find the correct IUPAC names for organic compounds, we can follow a set of rules provided by the International Union of Pure and Applied Chemistry (IUPAC). Let's apply these rules to the given compounds:

1. Triisopropylmethane:
- Start by identifying the longest continuous carbon chain in the molecule. In this case, we have a propane backbone with three isopropyl groups attached.
- The parent chain should be numbered starting from the end that gives the lowest possible numbers to the substituents. Since all three isopropyl groups are identical, it doesn't matter which end we start numbering from.
- The substituent name is "isopropyl," and we indicate three of them by using the prefix "tri-."
- Combining the information, the IUPAC name for triisopropylmethane is 2,2,2-triisopropylpropane.

2. 2,2-Dimethylcyclopentane:
- Again, begin by identifying the longest continuous carbon chain, which is a cyclopentane ring.
- Since it's a cyclic compound, we don't need to specify a starting point for numbering.
- Counting clockwise or counterclockwise, we find two methyl groups attached to carbons 2 and 2 (since it's a symmetric molecule).
- The IUPAC name for 2,2-dimethylcyclopentane reflects the two methyl groups on carbon 2 and the cyclopentane ring.

By following these rules, we found that the IUPAC names for the given compounds are 2,2,2-triisopropylpropane and 2,2-dimethylcyclopentane.