Correct name for `(C_(2)H_(5))_(2)C = C(CH_(3))CH_(2)CO_(2)H` is:

Options

A. 4,4-diethyl-3-methyl-3-butenoic acid
B. 4-ethyl-3-methyl-3-hexenoic acid
C. 3-ethyl-4-methyl-3-hexenoic acid
D. 3-ethyl-4-methyl-3-hexene-6-oic acid

Answer

To determine the correct name for the compound `(C_(2)H_(5))_(2)C = C(CH_(3))CH_(2)CO_(2)H`, we can follow these steps:

### Step 1: Draw the Structure
Start by constructing the molecular structure based on the given formula. The structure consists of:
- A carbon-carbon double bond (C=C).
- Two ethyl groups (C2H5) attached to one of the carbons in the double bond.
- A methyl group (CH3) attached to the same carbon as one of the ethyl groups.
- A carboxylic acid group (COOH) at the end of the chain.

### Step 2: Number the Carbon Chain
Next, we need to number the carbon chain. Since we have a carboxylic acid (COOH) group, we should give it the highest priority:
1. Start numbering from the carbon of the carboxylic acid group.
2. Count the carbons in the longest chain, ensuring to include the double bond.

The numbering will look like this:
- 1: COOH (carboxylic acid)
- 2: CH2 (next carbon)
- 3: CH (double bond)
- 4: CH (with ethyl and methyl groups)
- 5: CH2 (ethyl group)
- 6: CH2 (ethyl group)

### Step 3: Identify Substituents
Now, identify the substituents:
- At carbon 4, there are two ethyl groups (C2H5).
- At carbon 3, there is one methyl group (CH3).

### Step 4: Determine the Parent Chain and Functional Group
The longest chain contains 6 carbons, and since there is a double bond, we will refer to it as a hexenoic acid. The position of the double bond is at carbon 3.

### Step 5: Combine the Information
Now, we can combine all the information:
- The substituents are 4-ethyl and 3-methyl.
- The main chain is a hexenoic acid with a double bond at position 3.

### Step 6: Write the Final Name
According to IUPAC nomenclature, the name will be:
- 4-ethyl-3-methyl-3-hexenoic acid.

### Final Answer
The correct name for `(C_(2)H_(5))_(2)C = C(CH_(3))CH_(2)CO_(2)H` is **4-ethyl-3-methyl-3-hexenoic acid**.

---