Concept:
Acidity of carboxylic acids depends mainly on:
- Inductive effect of substituents
- Electron-withdrawing groups increase acidity
- Electron-donating alkyl groups decrease acidity
Step 1: Analyze substituent effects.
(1) CH\(_3\)CH(CH\(_3\))COOH:
Branched alkyl group shows strong +I effect → least acidic.
(2) CH\(_3\)CH\(_2\)CH\(_2\)COOH:
Longer alkyl chain → stronger +I effect than propionic acid → lower acidity.
(3) CH\(_3\)CH\(_2\)COOH:
Moderate +I effect → higher acidity than above two.
(4) BrCH\(_2\)CH\(_2\)COOH:
Bromine is electron-withdrawing (−I effect) → stabilizes carboxylate ion → most acidic.
Step 2: Arrange in increasing acidity.
\[
CH_3CH(CH_3)COOH<CH_3CH_2CH_2COOH<CH_3CH_2COOH<BrCH_2CH_2COOH
\]