Step 1: Concept - Intermolecular Forces:
Boiling point depends on the strength of intermolecular forces:
1. Hydrogen Bonding: Strongest. (Alcohols).
2. Dipole-Dipole Interaction: Moderate. (Aldehydes, Ethers). Aldehydes generally have higher polarity than ethers.
3. Van der Waals (Dispersion) Forces: Weakest. (Alkanes).
Step 2: Comparing Compounds:
- IV. Ethanol (\( \text{C}_2\text{H}_5\text{OH} \)): Has Hydrogen bonding. Highest BP.
- II. Acetaldehyde (\( \text{CH}_3\text{CHO} \)): Polar molecule (Dipole-Dipole). No H-bonding.
- I. Dimethyl ether (\( \text{CH}_3\text{OCH}_3 \)): Weakly polar (bent structure), but dipole moment is generally lower than aldehydes/ketones. No H-bonding.
- III. Propane (\( \text{C}_3\text{H}_8 \)): Non-polar. Only dispersion forces. Lowest BP.
Comparison between Ether and Aldehyde: Aldehydes typically have higher boiling points than isomeric ethers due to greater polarity of the C=O bond compared to the C-O-C bond arrangement.
Order: Propane < Ether < Aldehyde < Alcohol.
III < I < II < IV.
Step 3: Final Answer:
Option (B) III \textless I \textless II \textless IV.