Step 1: Recall the condition for HVZ reaction.
Hell–Volhard–Zelinsky (HVZ) reaction occurs in carboxylic acids containing at least one \(\alpha\)-hydrogen atom.
The reaction involves \(\alpha\)-halogenation of the acid.
Step 2: Analyze each acid.
Butanoic acid: Contains \(\alpha\)-hydrogen, so it undergoes HVZ reaction.
Propanoic acid: Contains \(\alpha\)-hydrogen, so it undergoes HVZ reaction.
Ethanoic acid: Contains \(\alpha\)-hydrogen, so it undergoes HVZ reaction.
Methanoic acid: Does not contain any \(\alpha\)-carbon or \(\alpha\)-hydrogen.
Step 3: Conclusion.
Since methanoic acid lacks an \(\alpha\)-hydrogen, it does not undergo the HVZ reaction.