Analyzing the Setup
Imagine you are looking at a complex organic molecule, a diene with a tertiary alcohol group, specifically linalool. We are treating this molecule with dilute sulfuric acid (H2​SO4​).
Whenever you see an alcohol in an acidic medium, your first instinct should be protonation. The acid acts as a catalyst, turning the poor hydroxyl leaving group into an excellent leaving group: water.
The Reaction Mechanism
Let's break down the mechanism step-by-step. First, the oxygen atom of the hydroxyl group grabs a proton (H+) from the acid. This forms an −OH2+​ group, which promptly leaves as a neutral water molecule. The departure of water leaves behind a tertiary carbocation.
Now, look closely at this carbocation. It is not just any carbocation; it is an allylic carbocation. This means it is situated right next to a carbon-carbon double bond, allowing it to be stabilized by resonance. Through resonance, the π electrons shift, and the positive charge moves to the terminal carbon atom.
Tertiary Allylic Carbocation↔Primary Allylic Carbocation
You might wonder, why would the positive charge move to a less stable primary position? The answer lies in the geometry of the molecule. The primary carbocation is perfectly positioned for an intramolecular attack. The isolated double bond on the other side of the molecule swoops in and attacks this terminal positive charge. This cyclization forms a highly stable six-membered cyclohexene ring.
The Final Product
After the ring closes, a new tertiary carbocation is generated on the side chain. Since we are in a dilute acidic medium, there is plenty of water around. A water molecule attacks this new carbocation. After a quick deprotonation step, we are left with a new tertiary alcohol group.
The final product of this elegant cyclization is α-terpineol. When we compare our derived structure with the given options, it perfectly matches option (c).
This reaction is a beautiful example of how resonance and intramolecular forces can drive a molecule to rearrange itself into a completely new cyclic structure!