Step 1: Concept
The octet rule states that atoms gain, lose, or share electrons to have eight electrons in their valence shell.
Step 2: Analysis
- $CO_2, CHCl_3,$ and $NH_3$ all have central atoms surrounded by 8 valence electrons.
- In $ClF_3$, Chlorine has 7 valence electrons and forms 3 bonds with Fluorine, plus it retains 2 lone pairs. Total electrons = $3 (\text{bonds}) \times 2 + 2 (\text{lone pairs}) \times 2 = 10$ electrons.
Step 3: Conclusion
$ClF_3$ is an expanded octet molecule and does not obey the rule.
Final Answer: (C)