`CH_3-undersetunderset(CH_3)(|)C=CH_2+HBr overset(R_2O_2)to` Product is :

Options

A. `CH_3-undersetunderset(CH_3)(|)CH-oversetoverset(Br)(|)CH_2`
B. `CH_3-undersetunderset(CH_3)(|)oversetoverset(Br)(|)C-CH_3`
C. `CH_3-undersetunderset(CH_3)(|)oversetoverset(Br)(|)C-oversetoverset(Br)(|)CH_2`
D. `oversetoverset(Br)(|)CH_2-undersetunderset(CH_3)(|)C=CH_2`

Answer

To determine the product of the reaction between 2-methylpropene (CH₃C(CH₃)=CH₂) and HBr in the presence of R₂O₂, we will follow these steps:

### Step 1: Identify the Reactants
We have 2-methylpropene (CH₃C(CH₃)=CH₂) and hydrogen bromide (HBr) as our reactants. The presence of R₂O₂ indicates that we will follow a specific reaction mechanism.

**Hint:** Look for the structure of the alkene and the reagent involved.

### Step 2: Understand the Reaction Mechanism
The reaction of alkenes with HBr in the presence of peroxides follows the anti-Markovnikov's rule. This means that the bromine (Br) will attach to the carbon with fewer hydrogen atoms, while the hydrogen (H) will attach to the carbon with more hydrogen atoms.

**Hint:** Recall the anti-Markovnikov's rule and how it applies to the addition of HBr.

### Step 3: Analyze the Structure of 2-Methylpropene
2-methylpropene has the following structure:
- The double bond is between the second and third carbon atoms.
- The second carbon (C2) has one hydrogen and one methyl group (C(CH₃)).
- The third carbon (C3) has two hydrogens.

**Hint:** Identify which carbon has more hydrogens and which has fewer.

### Step 4: Apply Anti-Markovnikov's Rule
According to the anti-Markovnikov's rule:
- The hydrogen (H) from HBr will attach to the carbon with more hydrogens (C3).
- The bromine (Br) will attach to the carbon with fewer hydrogens (C2).

**Hint:** Determine which carbon will receive the H and which will receive the Br.

### Step 5: Write the Product Structure
After the addition:
- The product will have the bromine attached to C2 and the hydrogen attached to C3.
- The product structure will be CH₃-CH(CH₃)-CH₂Br.

This compound is known as 1-bromo-2-methylpropane.

**Hint:** Make sure to visualize the final product structure clearly.

### Final Product
The final product of the reaction is **1-bromo-2-methylpropane**.

### Summary of Steps:
1. Identify reactants: 2-methylpropene and HBr.
2. Understand the mechanism: anti-Markovnikov addition due to R₂O₂.
3. Analyze the structure of 2-methylpropene.
4. Apply the rule: H attaches to C3, Br attaches to C2.
5. Write the product: 1-bromo-2-methylpropane.