Given below are two statements:
Statement $I$: $(Et)_2N-CH_2CH_2Cl$ will undergo alkaline hydrolysis at a faster rate than $(Et)_2CH-CH_2CH_2Cl$.
Statement $II$: Intramolecular substitution takes place first by involving the lone pair of electrons on nitrogen.
In the light of the above statements,choose the most appropriate answer from the options given below:

• A
  Both Statement $I$ and Statement $II$ are incorrect
• B
  Statement $I$ is incorrect but Statement $II$ is correct
• C
  Both Statement $I$ and Statement $II$ are correct
• D
  Statement $I$ is correct but Statement $II$ is incorrect