Step 1: Understanding the Concept:
Williamson synthesis is an \(S_N2\) reaction between a primary alkyl halide and a sodium alkoxide to form an ether.
Step 3: Detailed Explanation:
To prepare methoxyethane (\(CH_3-O-C_2H_5\)) from bromomethane (\(CH_3Br\)), we react the methyl halide with sodium ethoxide (\(NaOC_2H_5\)).
Chemical Equation:
\[ CH_3Br + NaOC_2H_5 \rightarrow CH_3-O-C_2H_5 + NaBr \]
Step 4: Final Answer:
Reaction of bromomethane with sodium ethoxide produces methoxyethane.