Step 1: Understanding the structure of oxyacids.
Oxyacids of chlorine consist of chlorine bonded to oxygen atoms, with hydrogen atoms also bonded to oxygen. The number of lone pairs on chlorine depends on the oxidation state of chlorine in the acid.
Step 2: Analyzing the options.
(A) HOClO\(_2\): Chlorine in HOClO\(_2\) has lone pairs because chlorine has a low oxidation state.
(B) HOCl: Chlorine in HOCl has lone pairs as chlorine is in a lower oxidation state.
(C) HOClO\(_3\): Chlorine in HOClO\(_3\) has no lone pairs, as chlorine is in a high oxidation state and forms bonds with three oxygens.
(D) HOClO: Chlorine in HOClO has lone pairs as chlorine is in a low oxidation state.
Step 3: Conclusion.
The correct answer is (C) HOClO\(_3\) because chlorine does not have lone pairs in this acid.