`{:(CH_(3)COOH,H-COOCH_(3),CH_(3)-CONH_(2),CH_(3)-CH_(2)-CH_(2)-OH,),((I),(II),(III),(IV),):}` The correct increasing order of boiling points is

Options

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

Explanation

To determine the correct increasing order of boiling points for the given compounds: acetic acid (CH₃COOH), methyl formate (H-COOCH₃), acetamide (CH₃-CONH₂), and n-propanol (CH₃-CH₂-CH₂-OH), we need to analyze the intermolecular forces, particularly hydrogen bonding, present in each compound.

### Step-by-Step Solution:

1. **Identify the Compounds**:
- (I) Acetic acid: CH₃COOH
- (II) Methyl formate: H-COOCH₃
- (III) Acetamide: CH₃-CONH₂
- (IV) n-Propanol: CH₃-CH₂-CH₂-OH

2. **Analyze Hydrogen Bonding**:
- **Acetic Acid (I)**: This compound can form strong hydrogen bonds due to the presence of both a hydroxyl group (-OH) and a carbonyl group (C=O). It has strong intermolecular hydrogen bonding.
- **Methyl Formate (II)**: This is an ester and does not form hydrogen bonds between its molecules. Therefore, it will have the lowest boiling point.
- **Acetamide (III)**: This compound can also form hydrogen bonds due to the presence of the amine group (-NH₂) and the carbonyl group (C=O). Its hydrogen bonding capability is strong but slightly less than that of acetic acid.
- **n-Propanol (IV)**: This alcohol can form hydrogen bonds due to the hydroxyl group (-OH), but it is less effective than acetic acid and acetamide due to the absence of a carbonyl group.

3. **Rank the Compounds Based on Boiling Points**:
- Since methyl formate has no hydrogen bonding, it has the lowest boiling point.
- n-Propanol has hydrogen bonding, but it is weaker than that of acetic acid and acetamide.
- Acetamide has strong hydrogen bonding, but acetic acid has even stronger hydrogen bonding due to its structure.
- Therefore, the order from lowest to highest boiling point is:
- Methyl formate (II) < n-Propanol (IV) < Acetamide (III) < Acetic acid (I)

4. **Final Order**:
- The correct increasing order of boiling points is:
- (II) < (IV) < (III) < (I)