Step 1: Concept
A chiral carbon atom is a carbon atom that is bonded to four different groups.
Step 2: Structure Analysis
The structure of 2-chloro-3,4,5-trimethylhexane is:
$CH_3-CH(Cl)-CH(CH_3)-CH(CH_3)-CH(CH_3)-CH_3$.
Step 3: Identification
- C2 is chiral (bonded to H, Cl, $CH_3$, and the rest of the chain).
- C3 is chiral (bonded to H, $CH_3$, $CH(Cl)CH_3$, and the rest of the chain).
- C4 is chiral (bonded to H, $CH_3$, $CH(CH_3)CH(Cl)CH_3$, and $CH(CH_3)_2$).
- C5 is not chiral as it is bonded to two identical methyl groups (isopropyl end).
Step 4: Conclusion
There are 3 chiral centers.
Final Answer:(B)