Step-by-step mechanism:
1. Grignard reaction: CH\(_3\)MgCl adds CH\(_3\)⁻ to carbonyl carbon of cyclopentanone:
\[
\text{Cyclopentanone} + \text{CH}_3\text{MgCl} \rightarrow \text{Tertiary alcohol}
\]
2. Acidic workup (H\(_3\)O\(^+\)) protonates the alkoxide to form 1-methylcyclopentanol.
3. Elimination under acidic heat (E1):
- Alcohol is protonated → forms carbocation.
- Elimination of H\(^+\) leads to formation of double bond.
- Alkene forms as 1-methylene-cyclopentane (major due to stability).