The `IUPAC` name of the following structure is `[CH_(3)CH(CH_(3))]_(2)C(CH_(2)CH_(3))C(CH_(3))C(CH_(2)CH_(3))_(2)`

Options

A. `3,5-`diethyl`-4,6-`dimethyl`-5-[1-`methylethyl`]3-`heptene
B. `3,5-`diethyl`-5-`isopropyl`-4,6-`dimethyl`-2-`heptene
C. `3,5-`diethyl`-5-`propyl`-4,6-`dimethyl`-3-`heptene
D. None of these

Explanation

To determine the IUPAC name of the given structure `[CH_(3)CH(CH_(3))]_(2)C(CH_(2)CH_(3))C(CH_(3))C(CH_(2)CH_(3))_(2)`, we will follow these steps:

### Step 1: Draw the Structure
Start by sketching the structure based on the provided formula. Identify the main carbon chain and any substituents attached to it.

### Step 2: Identify the Longest Carbon Chain
Look for the longest continuous carbon chain in the structure. In this case, the longest chain consists of 7 carbon atoms.

### Step 3: Number the Carbon Chain
Number the carbon atoms in the longest chain. Start from the end that gives the lowest number to the substituents. For this structure, we will number from the left to ensure that the double bond is at the lowest possible number.

### Step 4: Identify Substituents
Identify all the substituents attached to the main carbon chain. In this case, we have:
- Two ethyl groups
- Two methyl groups
- A propyl group

### Step 5: Assign Numbers to Substituents
Assign numbers to each substituent based on their position on the carbon chain. For example, if the ethyl groups are on the 3rd and 5th carbons, they will be labeled as such.

### Step 6: Determine the Root Name
Since the longest chain has 7 carbon atoms, the root name will be "hept".

### Step 7: Identify the Type of Bond
Check for any double bonds in the structure. If there is a double bond, it will be indicated by "ene". In this case, there is a double bond at the 3rd carbon.

### Step 8: Combine the Information
Now, combine the information gathered:
- Root name: hept
- Double bond: 3-ene
- Substituents: 3,5-diethyl, 4,6-dimethyl, and a propyl group.

### Step 9: Write the Full IUPAC Name
Combine all the parts in the correct order, following IUPAC nomenclature rules:
- The full name will be: **3,5-diethyl-4,6-dimethyl-5-propylhept-3-ene**

### Final IUPAC Name
The IUPAC name of the given structure is **3,5-diethyl-4,6-dimethyl-5-propylhept-3-ene**.

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