The correct IUPAC name of `CH_(3)CH_(2)CH(CH_(3))CH(C_(2)H_(5))_(2)` is

Options

A. 4-Ethyl-3-methylhexane
B. 3-Ethyl-4-methylhexane
C. 3-Methyl-4-ethylhexane
D. 2-Isopentylbutane.

Explanation

To determine the correct IUPAC name for the compound `CH₃CH₂CH(CH₃)CH(C₂H₅)₂`, we can follow these steps:

### Step 1: Identify the Longest Carbon Chain
First, we need to identify the longest continuous carbon chain in the molecule.

- The given structure can be expanded as follows:
- CH₃-CH₂-CH(CH₃)-CH(C₂H₅)₂
- The longest chain here consists of 4 carbon atoms (butane).

### Step 2: Number the Carbon Chain
Next, we number the carbon chain starting from the end closest to the first substituent.

- Numbering from the left:
1. CH₃ (C1)
2. CH₂ (C2)
3. CH(CH₃) (C3)
4. CH(C₂H₅) (C4)

### Step 3: Identify the Substituents
Now, we identify the substituents attached to the main carbon chain.

- At C3, there is a methyl group (CH₃).
- At C4, there are two ethyl groups (C₂H₅).

### Step 4: Assign Locants to Substituents
We assign locants to the substituents based on their position on the carbon chain.

- The methyl group is at position 3.
- The two ethyl groups are at position 4.

### Step 5: Combine the Information
Now we can combine the information about the longest chain and the substituents to write the IUPAC name.

- The substituents are listed in alphabetical order, regardless of their position numbers:
- Ethyl (C₂H₅) comes before Methyl (CH₃).

### Step 6: Write the Final IUPAC Name
Putting it all together, we write the name as follows:

- The base name is "butane" (from the longest chain).
- The substituents are "diethyl" (for the two ethyl groups) and "methyl".

Thus, the correct IUPAC name is **4,4-Diethyl-3-methylbutane**.

### Summary of Steps:
1. Identify the longest carbon chain.
2. Number the carbon chain.
3. Identify the substituents.
4. Assign locants to the substituents.
5. Combine the information to write the IUPAC name.