Step 1: Analyzing the reaction.
- The first reaction involves the reaction of ethanol with sodium bromide (NaBr) and sulfuric acid (H\(_2\)SO\(_4\)), resulting in the formation of ethyl bromide (C\(_2\)H\(_5\)Br).
- The second reaction involves the reaction of ethyl bromide with magnesium (Mg) in dry ether, forming ethyl magnesium bromide (C\(_2\)H\(_5\)MgBr). This is a Grignard reagent.
Step 2: Analyzing the options.
(A) Ethyl magnesium bromide: Correct — This is the product formed in the second reaction when ethyl bromide reacts with magnesium in dry ether.
(B) Ethyl bromide: This is the intermediate product from the first reaction, not the final product.
(C) Sodium ethoxide: Sodium ethoxide is not formed in this sequence of reactions.
(D) Ethene: Ethene is not produced in this sequence.
Step 3: Conclusion.
The correct answer is (A) Ethyl magnesium bromide.