Final answer:
To choose the correct IUPAC name, identify the longest carbon chain and its substituents, and determine the stereochemistry of the chiral center. The correct name would be either (S)-3-ethyl-2-methylpentane or (R)-3-ethyl-2-methylpentane.
Step-by-step explanation:
To determine the correct IUPAC name of the compound, first identify the longest carbon chain and its substituents, then determine the stereochemistry (R or S configuration) of the chiral carbon. According to Figure 9.1.7, the longest chain has five carbon atoms, which makes it a pentane. There is a one-carbon substituent (methyl group) on the second carbon atom and a two-carbon substituent (ethyl group) on the third carbon atom. To determine the stereochemistry, we would need to look at the actual three-dimensional structure, which is not provided. However, considering that option 3) and 4) are the only ones mentioning pentane, the correct choice would be either one of these, based on the stereochemistry of the chiral center.
The correct name would either be (S)-3-ethyl-2-methylpentane or (R)-3-ethyl-2-methylpentane.