Step 1: Understanding the Question:
We need to evaluate the correctness of an Assertion and a Reason related to the Williamson ether synthesis.
Step 2: Key Formula or Approach:
The Williamson ether synthesis is a method for preparing ethers via an S\(_N\)2 reaction between a sodium alkoxide (or phenoxide) and an alkyl halide.
\[ \text{R-O}^-\text{Na}^+ + \text{R'-X} \rightarrow \text{R-O-R'} + \text{NaX} \]
For the S\(_N\)2 mechanism to be effective, the alkyl halide (R'-X) should ideally be primary or secondary. Aryl halides and tertiary alkyl halides are unreactive under S\(_N\)2 conditions.
Step 3: Detailed Explanation:
Analysis of Assertion (A):
"Synthesis of ethyl phenyl ether may be achieved by Williamson synthesis."
Ethyl phenyl ether has the structure C\(_6\)H\(_5\)-O-CH\(_2\)CH\(_3\). To synthesize this, we need a phenoxide part and an ethyl part. The correct strategy for Williamson synthesis is to use the phenoxide as the nucleophile and the alkyl halide as the electrophile.
\[ \underbrace{\text{C}_6\text{H}_5\text{O}^-\text{Na}^+}_{\text{Sodium phenoxide}} + \underbrace{\text{CH}_3\text{CH}_2\text{Br}}_{\text{Ethyl bromide (1°)}} \rightarrow \text{C}_6\text{H}_5\text{-O-CH}_2\text{CH}_3 + \text{NaBr} \]
This reaction works well because ethyl bromide is a primary alkyl halide, which is excellent for S\(_N\)2 reactions. Therefore, Assertion (A) is a correct statement.
Analysis of Reason (R):
"Reaction of bromobenzene with sodium ethoxide yields ethyl phenyl ether."
This statement describes the alternative combination of reagents:
\[ \underbrace{\text{C}_6\text{H}_5\text{Br}}_{\text{Aryl halide}} + \underbrace{\text{CH}_3\text{CH}_2\text{O}^-\text{Na}^+}_{\text{Sodium ethoxide}} \rightarrow \text{No reaction} \]
This reaction does not occur. S\(_N\)2 substitution is not feasible on an aryl halide like bromobenzene. This is because:
The carbon atom of the C-Br bond is sp\(^2\)-hybridized and less susceptible to nucleophilic attack.
The C-Br bond has partial double-bond character due to resonance with the benzene ring, making it stronger and harder to break.
The bulky and electron-rich benzene ring sterically hinders and electrostatically repels the incoming nucleophile.
Therefore, Reason (R) is an incorrect statement.
Step 4: Final Answer:
The Assertion (A) is correct, but the Reason (R) is incorrect. This corresponds to option (C).