Concept:
A chiral molecule must contain at least one chiral center (stereocenter). A carbon atom is a chiral center if it is $sp^3$ hybridized and bonded to four distinct and different atoms or groups.
Step 1: Examine the structure of each option.
Let's draw and analyze the central carbons for each molecule:
- (A) 2-Bromopropane: $CH_3-CH(Br)-CH_3$. The $C_2$ carbon is attached to $-H$, $-Br$, and two identical $-CH_3$ groups. Not chiral.
- (B) 2-Bromo-2-methylbutane: $CH_3-C(Br)(CH_3)-CH_2-CH_3$. The $C_2$ carbon is attached to $-Br$, an ethyl group ($-CH_2CH_3$), and two identical methyl groups ($-CH_3$). Not chiral.
- (D) 3-Bromopentane: $CH_3-CH_2-CH(Br)-CH_2-CH_3$. The $C_3$ carbon is attached to $-H$, $-Br$, and two identical ethyl groups. Not chiral.
Step 2: Analyze the correct option.
Consider (C) 2-Bromo-3-methylbutane: $CH_3-CH(Br)-CH(CH_3)_2$.
The $C_2$ carbon is bonded to:
1. A Hydrogen atom ($-H$)
2. A Bromine atom ($-Br$)
3. A Methyl group ($-CH_3$)
4. An Isopropyl group ($-CH(CH_3)_2$)
Since all four groups attached to $C_2$ are different, it is a chiral center.