Step 1: Nature of ethylamine.
Ethylamine is a primary amine and contains an active hydrogen atom attached to nitrogen.
Step 2: Reaction with excess acetic anhydride.
When treated with excess acetic anhydride in presence of pyridine, both hydrogen atoms of the amine group are replaced by acetyl groups.
Step 3: Formation of diacetyl derivative.
This leads to the formation of N,N-diacetyl ethylamine.
Step 4: Conclusion.
Hence, the product formed is \( \mathrm{C_2H_5N(COCH_3)_2} \).