Two compounds X and Y have the same molecular formula, `C_(3)H_(6)O_(2)`. Identify the functional groups and structural formulae of X and Y.

Options

A. `-COOH and -COOR, X=CH_(3)CH_(2)COOH, Y=CH_(3)COOCH_(3)`
B. `-CHO and -CO, X=CH_(3)CH_(2)CHO, Y=CH_(3)COCH_(3)`
C. `-CO and -COOH, X=CH_(3)COCH_(3), Y=CH_(3)CH_(2)COOH`
D. `-CHO and -COOH, X=CH_(3)CH_(2)CHO, Y=CH_(3)CH_(2)COOH`

Explanation

To solve the question of identifying the functional groups and structural formulae of the two compounds X and Y with the same molecular formula \( C_3H_6O_2 \), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Molecular Formula**:
- The given molecular formula is \( C_3H_6O_2 \). This indicates that the compound contains 3 carbon atoms, 6 hydrogen atoms, and 2 oxygen atoms.

2. **Identifying Possible Functional Groups**:
- The presence of 2 oxygen atoms suggests that the compounds could potentially contain functional groups such as carboxylic acids (–COOH) or esters (–COO–).

3. **Drawing Structural Formulas**:
- **For Compound X**:
- If we consider a carboxylic acid structure, we can draw it as:
\[ CH_3-CH_2-COOH \]
This structure represents propanoic acid (or propionic acid), where the functional group is the carboxylic acid (–COOH).

- **For Compound Y**:
- If we consider an ester structure, we can draw it as:
\[ CH_3-COO-CH_3 \]
This structure represents methyl acetate, where the functional group is the ester (–COO–).

4. **Verifying the Molecular Formula**:
- For Compound X (propanoic acid):
- Carbons: 3 (C)
- Hydrogens: 6 (H)
- Oxygens: 2 (O)
- For Compound Y (methyl acetate):
- Carbons: 3 (C)
- Hydrogens: 6 (H)
- Oxygens: 2 (O)
- Both compounds satisfy the molecular formula \( C_3H_6O_2 \).

5. **Conclusion**:
- Therefore, the two compounds with the same molecular formula \( C_3H_6O_2 \) are:
- Compound X: Propanoic acid (functional group: carboxylic acid)
- Compound Y: Methyl acetate (functional group: ester)

### Summary of Results:
- **Compound X**: Propanoic acid (–COOH)
- **Compound Y**: Methyl acetate (–COO–)