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The number of optically inactive stereoi...

The number of optically inactive stereoisomers possible for tartaric acid.

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To determine the number of optically inactive stereoisomers possible for tartaric acid, follow these steps: ### Step 1: Understand the Structure of Tartaric Acid Tartaric acid has the molecular formula C4H6O6. It contains two chiral centers. The structure of tartaric acid can be represented as follows: ``` HOOC | C / \ OH H | C / \ H OH ``` ### Step 2: Identify Chiral Centers In the structure of tartaric acid, the two carbon atoms (C) connected to the hydroxyl groups (OH) are chiral centers. A chiral center is a carbon atom that is bonded to four different groups. ### Step 3: Determine Stereoisomers The number of stereoisomers can be calculated using the formula \(2^n\), where \(n\) is the number of chiral centers. For tartaric acid, \(n = 2\): \[ \text{Number of stereoisomers} = 2^2 = 4 \] ### Step 4: Classify Stereoisomers Out of the four stereoisomers, we can classify them into two types: 1. **Optically Active Stereoisomers**: These are the pairs of enantiomers that are non-superimposable mirror images of each other. 2. **Optically Inactive Stereoisomers**: These include meso compounds that have a plane of symmetry. ### Step 5: Identify the Meso Compound Among the four stereoisomers of tartaric acid, one of them is a meso compound. A meso compound is achiral despite having chiral centers because it has an internal plane of symmetry. ### Step 6: Conclusion Thus, the number of optically inactive stereoisomers (meso compounds) for tartaric acid is: \[ \text{Number of optically inactive stereoisomers} = 1 \] ### Final Answer The number of optically inactive stereoisomers possible for tartaric acid is **1**. ---

To determine the number of optically inactive stereoisomers possible for tartaric acid, follow these steps: ### Step 1: Understand the Structure of Tartaric Acid Tartaric acid has the molecular formula C4H6O6. It contains two chiral centers. The structure of tartaric acid can be represented as follows: ``` HOOC | ...
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