Which of the following statements are correct ?

Options

A. The reaction of t-butyl chloride with `overset (Ө) O H` follows first-order kinetics.
B. An `SN^1` reaction proceeds with the inversion of configuration.
C. An `SN^2` reaction follows second-order kinetics.
D. An `SN^2` reaction proceeds with stereochemical inversion.

Explanation

To determine which statements are correct regarding the reactions of tertiary butyl chloride, we will analyze each statement based on the mechanisms of SN1 and SN2 reactions.

### Step-by-Step Solution:

1. **Analyze the First Statement:**
- **Statement:** "The reaction of tertiary butyl chloride with OH⁻ follows first order kinetics."
- **Explanation:** Tertiary butyl chloride (t-butyl chloride) undergoes an SN1 mechanism due to the stability of the tertiary carbocation formed during the reaction. In an SN1 reaction, the rate of reaction depends only on the concentration of the substrate (t-butyl chloride) and not on the nucleophile (OH⁻). Therefore, it follows first order kinetics.
- **Conclusion:** This statement is **correct**.

2. **Analyze the Second Statement:**
- **Statement:** "An SN1 reaction proceeds with the inversion of configuration."
- **Explanation:** In an SN1 reaction, a carbocation intermediate is formed, which can lead to both retention and inversion of configuration. However, the predominant outcome is racemization, meaning that the product can be a mix of both configurations. Therefore, it does not exclusively lead to inversion.
- **Conclusion:** This statement is **incorrect**.

3. **Analyze the Third Statement:**
- **Statement:** "An SN2 reaction follows second order kinetics."
- **Explanation:** In an SN2 reaction, the rate depends on the concentration of both the substrate and the nucleophile. Hence, it is classified as second order kinetics. The reaction occurs in a single concerted step where the nucleophile attacks the substrate, leading to the formation of the product.
- **Conclusion:** This statement is **correct**.

4. **Analyze the Fourth Statement:**
- **Statement:** "An SN2 reaction proceeds with stereochemical inversion."
- **Explanation:** In an SN2 reaction, the nucleophile attacks the substrate from the opposite side of the leaving group, resulting in inversion of configuration at the carbon center. This is a characteristic feature of SN2 reactions.
- **Conclusion:** This statement is **correct**.

### Final Summary of Correct Statements:
- The correct statements are:
- **1st Statement:** Correct
- **2nd Statement:** Incorrect
- **3rd Statement:** Correct
- **4th Statement:** Correct

### Correct Options:
- The correct options are **1st, 3rd, and 4th**.

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