The rate of esterification of acetic acid with methyl alcohol (I) , ethyl alcohol (II) , isopropyl alcohol (III) and teritary butyl alcohol ( IV) follow in the order -

Options

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

Answer

To determine the order of the rate of esterification of acetic acid with different alcohols (methyl alcohol, ethyl alcohol, isopropyl alcohol, and tertiary butyl alcohol), we can analyze the structure and molecular weight of each alcohol. Here’s a step-by-step solution:

### Step 1: Identify the Alcohols
- Methyl alcohol (I): CH₃OH
- Ethyl alcohol (II): CH₃CH₂OH
- Isopropyl alcohol (III): (CH₃)₂CHOH
- Tertiary butyl alcohol (IV): (CH₃)₃COH

### Step 2: Understand Esterification
Esterification is a reaction between an alcohol and a carboxylic acid (in this case, acetic acid) to form an ester and water. The rate of this reaction can be influenced by the structure of the alcohol.

### Step 3: Analyze the Alcohols
- **Methyl Alcohol (I)**: The simplest alcohol with the least steric hindrance and lowest molecular weight, leading to a higher rate of reaction.
- **Ethyl Alcohol (II)**: Slightly larger than methyl alcohol but still has low steric hindrance, resulting in a lower rate than methyl alcohol but higher than isopropyl and tertiary butyl alcohol.
- **Isopropyl Alcohol (III)**: Has more steric hindrance compared to methyl and ethyl alcohol, which decreases the rate of esterification.
- **Tertiary Butyl Alcohol (IV)**: The most sterically hindered alcohol, leading to the lowest rate of esterification due to significant steric hindrance.

### Step 4: Determine the Order
Based on the analysis:
1. Methyl alcohol (I) - highest rate
2. Ethyl alcohol (II) - second highest rate
3. Isopropyl alcohol (III) - third highest rate
4. Tertiary butyl alcohol (IV) - lowest rate

Thus, the order of the rate of esterification is:
**Methyl alcohol > Ethyl alcohol > Isopropyl alcohol > Tertiary butyl alcohol**

### Final Answer
The order of the rate of esterification of acetic acid with the given alcohols is:
**I > II > III > IV**