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The number of stereoisomers of the given...

The number of stereoisomers of the given compound
`CH_(3)-overset(Cl)overset(|)CH-overset(Cl)overset(|)CH-overset(Cl)overset(|)CH-CH_(3)`
will be

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To determine the number of stereoisomers for the compound `CH3-CH(Cl)-CH(Cl)-CH(Cl)-CH3`, we need to follow these steps: ### Step 1: Identify Chiral Centers First, we need to identify the chiral centers in the compound. A chiral center is typically a carbon atom that is bonded to four different substituents. In the given compound: - The carbon atoms that are bonded to chlorine (Cl) are potential chiral centers. - We have three carbon atoms (let's denote them as C1, C2, and C3) that are each bonded to a Cl atom. ### Step 2: Analyze Each Chiral Center Next, we analyze the configuration of each chiral center: - If C1 has a configuration (R or S), we need to see how it affects the configurations of C2 and C3. - The chirality of C2 and C3 can depend on the configurations of the adjacent carbons (C1 and C2). ### Step 3: Determine Possible Configurations For each chiral center, there are two possible configurations (R or S): - For C1, we can have R or S. - For C2, we can also have R or S, but its chirality will depend on the configuration of C1. - For C3, similarly, it can also be R or S, depending on the configurations of C1 and C2. ### Step 4: Count Stereoisomers To count the total number of stereoisomers: - If all three carbons (C1, C2, C3) are chiral and can have independent configurations, the total number of stereoisomers can be calculated using the formula \(2^n\), where \(n\) is the number of chiral centers. - In this case, we have 3 chiral centers, so the total number of stereoisomers would be \(2^3 = 8\). However, we must consider the possibility of symmetry or identical configurations leading to fewer unique stereoisomers. ### Step 5: Final Count After analyzing the configurations and considering the potential for symmetry, we conclude that the total number of unique stereoisomers for the compound is 4. ### Final Answer The number of stereoisomers of the given compound is **4**. ---
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