To determine the final product C in the given sequence of reactions, let's analyze each step:
The first reaction is:
CH _{3}- Br \stackrel{ KCN }{\longrightarrow} A
In this step, methyl bromide \((CH_3Br)\) reacts with potassium cyanide \((KCN)\) to form methyl cyanide, commonly known as acetonitrile \((CH_3CN)\). The bromine atom is replaced by the cyanide group.
The second reaction is:
A \stackrel{ H _{3} O ^{+}}{\longrightarrow} B
Hydrolysis of acetonitrile \((CH_3CN)\) in the presence of \(H_3O^+\) (acidic conditions) converts it into acetic acid \((CH_3COOH)\).
The third reaction is:
B \stackrel{ LiAlH _{4}}{\longrightarrow} C
Reduction of acetic acid \((CH_3COOH)\) using lithium aluminium hydride \((LiAlH_4)\) results in the formation of ethanol \((CH_3CH_2OH)\), also known as ethyl alcohol.
Therefore, the final product C is ethyl alcohol.
Conclusion: The correct answer is Ethyl alcohol.