The correct order of reactivity in hydrolysis of the following acid derivatives is
`CH_(3)COCl` (I), `CH_(3)CONH_(2)`(II),
`CH_(3)COOCH_(3)` (III), `(CH_(3)CO)_(2)O` (IV) is

Options

A. `I lt II lt III lt IV`
B. `IV lt III lt II lt I`
C. `II lt III lt IV lt I`
D. `II lt III lt I lt IV`

Explanation

To determine the correct order of reactivity in the hydrolysis of the given acid derivatives, we need to analyze each compound's structure and the factors that influence their reactivity in hydrolysis.

### Step-by-Step Solution:

1. **Identify the Compounds**:
- (I) Acetyl chloride: `CH₃COCl`
- (II) Acetamide: `CH₃CONH₂`
- (III) Methyl acetate: `CH₃COOCH₃`
- (IV) Acetic anhydride: `(CH₃CO)₂O`

2. **Understand Hydrolysis**:
Hydrolysis involves the reaction of these derivatives with water, leading to the formation of carboxylic acids and other products. The reactivity of these compounds in hydrolysis is influenced by the stability of the leaving group and the electrophilicity of the carbonyl carbon.

3. **Analyze Each Compound**:
- **Acetyl Chloride (I)**: Chlorine is a good leaving group due to its electronegativity and ability to stabilize the negative charge after leaving. This makes acetyl chloride highly reactive in hydrolysis.
- **Acetamide (II)**: The amide group has a lone pair on nitrogen that can stabilize the carbonyl carbon, making it less electrophilic. Therefore, acetamide is less reactive compared to acetyl chloride.
- **Methyl Acetate (III)**: The ester group can undergo hydrolysis, but the leaving group (methanol) is less stable than chloride. Thus, methyl acetate is more reactive than acetamide but less than acetyl chloride.
- **Acetic Anhydride (IV)**: Acetic anhydride can also undergo hydrolysis, and it is more reactive than esters due to the presence of two acyl groups, which can stabilize the transition state during hydrolysis.

4. **Rank the Reactivity**:
Based on the analysis:
- **Most Reactive**: Acetyl Chloride (I)
- **Next**: Acetic Anhydride (IV)
- **Then**: Methyl Acetate (III)
- **Least Reactive**: Acetamide (II)

5. **Final Order**:
Therefore, the correct order of reactivity in hydrolysis is:
**I > IV > III > II**