Step 1: Understanding the Concept:
IUPAC naming follows the longest continuous carbon chain rule and alphabetical order for substituents.
Step 3: Detailed Explanation:
1. Longest Chain: Identify the longest carbon chain.
\(C_1H_3-C_2H_2-C_3H(C_2H_5)-C_4H_2-C_5H(CH_3)-C_6H_2-C_7H_3\).
The longest chain has 7 carbons, so the root name is heptane.
2. Numbering: If we number from left: substituents are at 3 (ethyl) and 5 (methyl).
If we number from right: substituents are at 3 (methyl) and 5 (ethyl).
3. Alphabetical Rule: Ethyl comes before Methyl alphabetically. Thus, we give the lower number (3) to the ethyl group.
Name: 3-ethyl-5-methylheptane.
Step 4: Final Answer:
The name is 3-ethyl-5-methylheptane.