`CH_(3)-overset(CH_(3))overset(|)(CH)-CH_(2)-CH_(2)underset(O)underset(||)C-CH_(3)^(+)overset(H_(2)//Pd//C)to` No. of stereoisomerism. Find the number.

Options

A. 2
B. 4
C. 8
D. 6

Explanation

To determine the number of stereoisomers for the given compound after the reaction with H2 in the presence of palladium (Pd/C), we will follow these steps:

### Step 1: Identify the Structure
The starting compound is:
\[ \text{CH}_3-\text{C}(\text{CH}_3)-\text{CH}_2-\text{CH}_2-\text{C}(=O)-\text{CH}_3 \]

### Step 2: Understand the Reaction
The reaction involves hydrogenation (addition of H2) which will convert the carbonyl (C=O) group into an alcohol (C-OH) group. The product will be:
\[ \text{CH}_3-\text{C}(\text{CH}_3)-\text{CH}_2-\text{CH}_2-\text{C}(\text{OH})-\text{CH}_3 \]

### Step 3: Identify Chiral Centers
In the product, we need to identify any chiral centers. A chiral center is a carbon atom that is attached to four different groups. In our product, the carbon atom attached to the OH group is a chiral center because it is bonded to:
1. CH2 (part of the chain)
2. CH3 (methyl group)
3. OH (hydroxyl group)
4. H (hydrogen atom)

### Step 4: Count Stereoisomers
Each chiral center can give rise to two configurations (R and S). The formula to calculate the number of stereoisomers is:
\[ \text{Number of stereoisomers} = 2^n \]
where \( n \) is the number of chiral centers.

Since we have identified one chiral center in the product, we have:
\[ n = 1 \]
Thus, the number of stereoisomers is:
\[ 2^1 = 2 \]

### Conclusion
The total number of stereoisomers for the product is **2**.

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