To determine how many stereoisomers this molecule has, we need to consider chiral centers and double bonds that can exhibit E/Z isomerism. The molecule in question is \(CH_3CH = CHCH_2CHBrCH_3\).
- Identify chiral centers:
- A chiral center is a carbon atom that is attached to four different groups.
- In the given molecule, the carbon atom bonded to the bromine (Br) is a chiral center because it is bonded to the following different groups:
- \(- H\)
- \(- Br\)
- \(- CH_2\) on one side
- \(- a propyl group (inclusive of\)
- Identify double bonds for E/Z isomerism:
- The double bond in \(CH_3CH=CHCH_2CHBrCH_3\) allows for E/Z isomerism.
- The double bond \(CH=CH\) can show E/Z isomerism as it is substituted with different groups on each carbon.
- Calculate the number of stereoisomers:
- The formula for calculating the number of stereoisomers is \(2^{n}\) where \(n\) is the number of chiral centers and E/Z double bonds.
- In this molecule, we have 1 chiral center and 1 double bond capable of E/Z isomerism, making \(n = 1 + 1 = 2\).
- Thus, the number of stereoisomers is \(2^2 = 4\).
Therefore, the molecule has 4 stereoisomers.