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The number of stereo isomers possible fo...

The number of stereo isomers possible for a compound of the molecular formula is `CH_(3)-CH=CH-CH(NH_(2))-CH_(3)` is

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To determine the number of stereoisomers for the compound with the molecular formula CH₃-CH=CH-CH(NH₂)-CH₃, we will follow these steps: ### Step 1: Identify the Structure First, we need to draw the structure of the compound based on the given molecular formula. The compound can be represented as follows: ``` CH3 | CH3-CH=CH-CH(NH2) ``` ### Step 2: Identify Double Bonds and Chiral Centers Next, we need to identify any double bonds and chiral centers in the molecule. 1. **Double Bond**: The compound has a double bond between the second and third carbon atoms (C2=C3). 2. **Chiral Center**: The fourth carbon (C4) is attached to four different groups: - NH₂ (amino group) - CH₃ (methyl group) - H (hydrogen) - CH₂ (part of the chain) ### Step 3: Determine Stereoisomers from the Double Bond The double bond can lead to cis-trans isomerism: - **Cis Isomer**: Both higher priority groups (CH₃ and NH₂) are on the same side of the double bond. - **Trans Isomer**: The higher priority groups are on opposite sides. Thus, we have two configurations from the double bond: 1. Cis 2. Trans ### Step 4: Determine Stereoisomers from the Chiral Center The chiral center (C4) can exist in two configurations: - **R Configuration** - **S Configuration** ### Step 5: Calculate Total Stereoisomers Now, we combine the results from the double bond and the chiral center: - From the double bond: 2 configurations (cis and trans) - From the chiral center: 2 configurations (R and S) The total number of stereoisomers can be calculated as: \[ \text{Total Stereoisomers} = (\text{Number from double bond}) \times (\text{Number from chiral center}) \] \[ \text{Total Stereoisomers} = 2 \times 2 = 4 \] ### Final Answer The total number of stereoisomers possible for the compound CH₃-CH=CH-CH(NH₂)-CH₃ is **4**. ---
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