Compound `'X'` give following reactions
`X(C_(6)H_(8)O_(2)) "GRB_HP_JEE_ORG_CHE_C11_E01_007_Q01.png" width="80%">
Its structure can be :

Options

A.
B.
C.
D.

Explanation

To determine the structure of compound 'X' (C₆H₈O₂) based on the given reactions, we will follow these steps:

### Step 1: Calculate the Double Bond Equivalent (DBE)
The formula for calculating the Double Bond Equivalent (DBE) is:
\[ \text{DBE} = C - \frac{H}{2} + \frac{N}{2} + 1 \]
Where:
- \( C \) = number of carbon atoms
- \( H \) = number of hydrogen atoms
- \( N \) = number of nitrogen atoms (not applicable here)

For compound 'X':
- \( C = 6 \)
- \( H = 8 \)

Calculating DBE:
\[ \text{DBE} = 6 - \frac{8}{2} + 1 = 6 - 4 + 1 = 3 \]

### Step 2: Analyze the Possible Structures
We need to check the given options to see which one has 3 double bond equivalents. The options are:
- **Option A**: Contains a ring and two double bonds (3 DBE)
- **Option B**: Contains two double bonds (2 DBE)
- **Option C**: Contains a ring and two double bonds (3 DBE)
- **Option D**: Contains three double bonds (3 DBE)

### Step 3: Identify Acidic Hydrogen
Next, we check which of the structures can release hydrogen gas when reacted with sodium metal, indicating the presence of acidic hydrogen (like in carboxylic acids).
- **Option A**: Contains acidic hydrogen
- **Option B**: No acidic hydrogen
- **Option C**: Contains acidic hydrogen
- **Option D**: Contains acidic hydrogen

### Step 4: 2,4-Dinitrophenylhydrazine (2,4-DNP) Test
The 2,4-DNP test identifies carbonyl groups (C=O). We need to find out which options contain a carbonyl group:
- **Option A**: Contains an aldehyde (positive test)
- **Option B**: No carbonyl group (negative test)
- **Option C**: Contains a ketone (positive test)
- **Option D**: Contains a ketone (positive test)

### Step 5: Ozonolysis Reaction
The ozonolysis reaction will help us determine the structure based on the products formed:
- **Option C**: If ozonolysis occurs, it will yield a single molecule with 6 carbons.
- **Option D**: Ozonolysis will yield two different products, indicating it does not correspond to a single compound.

### Conclusion
Based on the analysis:
- **Option C** is the correct structure for compound 'X' since it satisfies all the conditions: it has 3 DBE, contains acidic hydrogen, has a carbonyl group, and yields a single product upon ozonolysis.

### Final Answer
The structure of compound 'X' is represented by **Option C**.

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