Glyceryl oleate can be represented by the formula

Options

A. `(C_(15) H_(31)COO)_(3)C_(3)H_(5)`
B. `(C_(17)H_(33)COO)_(3)C_(3)H_(5)`
C. `(C_(17)H_(35)COO)_(3)C_(3)H_(5)`
D. Both (2) & (3)

Answer

To determine the chemical formula for glyceryl oleate, we need to analyze the components involved in its structure. Glyceryl oleate is the glycerol ester of oleic acid. Here’s a step-by-step breakdown of how to arrive at the correct formula:

### Step 1: Understand the Components
- **Glycerol**: Glycerol (or glycerin) has the chemical formula C3H8O3. It consists of three carbon atoms, eight hydrogen atoms, and three oxygen atoms.
- **Oleic Acid**: Oleic acid is a fatty acid with the formula C18H34O2. It has a long hydrocarbon chain and a carboxylic acid group.

### Step 2: Formation of Glyceryl Oleate
- When glycerol reacts with oleic acid, it forms an ester. The reaction involves the hydroxyl groups of glycerol reacting with the carboxylic acid group of oleic acid, releasing water (a condensation reaction).
- Since glycerol has three hydroxyl groups, it can form three ester bonds with oleic acid.

### Step 3: Writing the Formula
- The structure of glyceryl oleate can be represented as:
- The glycerol part contributes C3H5 (since it loses one H for each ester bond formed).
- The oleic acid part contributes C17H33 (after removing the carboxylic acid part, which is COOH).
- Therefore, the overall formula can be expressed as:
- C17H33COO (for one oleic acid) and since there are three ester bonds, we multiply the COO part by 3.

### Step 4: Final Formula
- The condensed formula for glyceryl oleate becomes:
- C17H33COO3C3H5
- This matches with one of the options provided.

### Conclusion
After analyzing the options:
- Option A: C15H31COO3C3H5 (Incorrect)
- Option B: C17H33COO3C3H5 (Correct)
- Option C: C17H35COO3C3H5 (Incorrect)
- Option D: Both 2 and 3 (Incorrect)

Thus, the correct answer is **Option B: C17H33COO3C3H5**.