Step 1: Understand the first reaction.
When ethane reacts with nitrous acid (\(\text{HNO}_2\)) on heating, it undergoes substitution to form nitroethane, which further rearranges to give ethyl nitrite that finally forms ethanamine precursor (nitroso derivative).
Step 2: Identify intermediate A.
The reaction of alkane with nitrous acid leads to formation of a nitro/nitroso compound that can be reduced to an amine. Thus, compound \(A\) is an intermediate nitrogen-containing compound.
Step 3: Effect of \(\text{LiAlH}_4\).
Lithium aluminium hydride is a strong reducing agent that converts nitro or nitroso compounds into primary amines.
Step 4: Final product identification.
After reduction, the final product formed is ethanamine (\(\text{CH}_3\text{CH}_2\text{NH}_2\)).