Step 1: Understanding Acid Strength in Carboxylic Acids The acid strength of carboxylic acids is influenced by the electron-withdrawing or electron-donating effects of substituents. Electron-withdrawing groups (EWG) increase acidity by stabilizing the conjugate base through inductive (-I) or resonance (-R) effects.
Step 2: Evaluating the Given Functional Groups
\(-{NO}_2\) (Nitro group): Strongest electron-withdrawing group via -I and -R effects → strongest acid.
\(-{CN}\) (Cyano group): Strong -I effect, but slightly weaker than nitro.
\(-{F}\) (Fluorine): Strong -I effect, but lacks resonance stabilization.
\(-{Cl}\) (Chlorine): Weaker -I effect than fluorine due to its lower electronegativity.
Step 3: Arranging in Order of Acid Strength Stronger acids have stronger electron-withdrawing substituents. The correct order of acidity is: \[ {NO}_2{CH}_2{COOH}>{CNCH}_2{COOH}>{FCH}_2{COOH}>{ClCH}_2{COOH} \] This matches option (E).