Which of the followig statements are correct about the reactivities of `(I) n-` propyl chloride and `(II)` allyl chloride.

Options

A. Rate of `SN^(1)` reaction of `(I) gt (II)`
B. Rate of `SN^(1)` reaction of `(II) gt (I)`
C. Rate of `SN^(2)` reaction of `(I) gt (II)`
D. Rate of `SN^(2)` reaction of `(II) gt (I)`

Explanation

To determine the reactivities of n-propyl chloride and allyl chloride, we need to analyze their behavior in nucleophilic substitution reactions, specifically SN1 and SN2 mechanisms.

### Step-by-Step Solution:

1. **Identify the Structures**:
- **n-Propyl Chloride (I)**: The structure is CH3-CH2-CH2-Cl. It is a primary alkyl halide.
- **Allyl Chloride (II)**: The structure is CH2=CH-CH2-Cl. It has a double bond adjacent to the carbon with the chlorine, making it an allylic halide.

2. **Reactivity in SN1 Mechanism**:
- The SN1 mechanism involves the formation of a carbocation intermediate. The stability of this carbocation is crucial for the reaction rate.
- For n-propyl chloride, the carbocation formed is a primary carbocation (CH3-CH2-CH2^+), which is relatively unstable.
- For allyl chloride, the carbocation formed is an allylic carbocation (CH2=CH-CH2^+). This carbocation is resonance-stabilized, making it more stable than the primary carbocation from n-propyl chloride.
- **Conclusion**: Allyl chloride is more reactive than n-propyl chloride in SN1 reactions due to the stability of the allylic carbocation.

3. **Reactivity in SN2 Mechanism**:
- The SN2 mechanism is a one-step reaction where the nucleophile attacks the carbon bearing the leaving group (Cl) while the leaving group departs.
- The rate of the SN2 reaction is influenced by steric hindrance around the carbon atom. Both n-propyl chloride and allyl chloride are primary halides, which means they have similar steric hindrance.
- However, allylic halides are more reactive in SN2 reactions because they can form a resonance-stabilized transition state during the reaction.
- **Conclusion**: Allyl chloride is also more reactive than n-propyl chloride in SN2 reactions due to the resonance stabilization of the transition state.

4. **Final Conclusion**:
- Both statements regarding the reactivities of n-propyl chloride and allyl chloride are correct:
- Allyl chloride is more reactive than n-propyl chloride in both SN1 and SN2 mechanisms.