Step 1: Ammonolysis of benzyl chloride.
Benzyl chloride is \( \mathrm{C_6H_5CH_2Cl} \). On ammonolysis, chlorine is replaced by the amino group, forming benzylamine.
\[
\mathrm{C_6H_5CH_2Cl + NH_3 \rightarrow C_6H_5CH_2NH_2}
\]
So, the first amine formed is benzylamine, also called phenylmethanamine.
Step 2: Reaction of benzylamine with one mole of \( \mathrm{CH_3Cl} \).
Benzylamine is a primary amine. When it reacts with methyl chloride, one hydrogen attached to nitrogen is replaced by a methyl group, giving N-methylbenzylamine.
\[
\mathrm{C_6H_5CH_2NH_2 + CH_3Cl \rightarrow C_6H_5CH_2NHCH_3}
\]
Step 3: Reaction with the second mole of \( \mathrm{CH_3Cl} \).
The secondary amine formed above reacts with another mole of methyl chloride. The second hydrogen on nitrogen is also replaced by a methyl group, giving a tertiary amine: N,N-dimethylbenzylamine. Its IUPAC name is N,N-dimethylphenylmethanamine.
\[
\mathrm{C_6H_5CH_2NHCH_3 + CH_3Cl \rightarrow C_6H_5CH_2N(CH_3)_2}
\]
Step 4: Conclusion.
Hence, the final product formed is N,N-dimethylphenylmethanamine.
Final Answer:N, N-dimethylphenylmethanamine.