Step 1: Understanding the Question:
We are given a Grignard reaction sequence where an unknown carbonyl compound A reacts with ethylmagnesium bromide ($\text{C}_2\text{H}_5\text{MgBr}$) in dry ether, followed by acid hydrolysis to yield a tertiary alcohol, 3-methylpentan-3-ol. We need to find the structural identity of A.
Step 2: Key Formula or Approach:
The reaction of a Grignard reagent (R'-MgX) with a carbonyl compound followed by hydrolysis yields an alcohol:
Formaldehyde gives a $1^\circ$ alcohol.
Higher aldehydes give a $2^\circ$ alcohol.
Ketones give a $3^\circ$ alcohol.
Since the product 3-methylpentan-3-ol is a tertiary ($3^\circ$) alcohol, compound A must be a ketone.
Step 3: Detailed Explanation:
Let's reverse-engineer the structure of the product, 3-methylpentan-3-ol:
$$\begin{array}{ccccccc}
& & \text{CH}_3 & & \\
& & | & & \\
\text{CH}_3\text{-CH}_2 & - & \text{C} & - & \text{CH}_2\text{-CH}_3 \\
& & | & & \\
& & \text{OH} & &
\end{array}$$
The Grignard reagent used is ethylmagnesium bromide, which introduces one ethyl group ($-\text{CH}_2\text{-CH}_3$) to the central carbon.
If we disconnect this ethyl group from the tertiary carbon atom of 3-methylpentan-3-ol, the remaining molecular fragment attached to the oxygen atom is:
$$\text{CH}_3\text{-CH}_2\text{-CO-CH}_3$$
Converting this remnant fragment back into its parent carbonyl configuration gives a 4-carbon chain ketone. Let's trace it out:
Longest chain has 4 carbons $\rightarrow$ butane.
Containing a ketone group at position 2 $\rightarrow$
butanone (ethyl methyl ketone).
Let's verify forward: Butanone ($\text{CH}_3\text{-CH}_2\text{-CO-CH}_3$) $+$ Ethylmagnesium bromide ($\text{C}_2\text{H}_5\text{MgBr}$) creates an adduct that hydrolyzes exactly into 3-methylpentan-3-ol. This perfectly matches option (D).
Step 4: Final Answer:
Compound A is Butanone, which corresponds to option (D).