Given below is the chemical formula of `CH_3(CH_2)_14-overset(O)overset(||)C-OH`

Options

A. Palmitic acid
B. Stearic acid
C. Glycerol
D. Galactose

Answer

To solve the question regarding the chemical formula `CH_3(CH_2)_{14}C(=O)OH`, we will follow these steps:

### Step 1: Identify the structure
The given formula can be broken down into parts:
- `CH_3` indicates a methyl group.
- `(CH_2)_{14}` indicates a chain of 14 methylene groups.
- `C(=O)OH` indicates a carboxylic acid functional group.

### Step 2: Count the number of carbon (C) atoms
- The methyl group contributes 1 carbon atom.
- The 14 methylene groups contribute 14 carbon atoms.
- The carbon in the carboxylic acid contributes 1 carbon atom.

Total number of carbon atoms = 1 (from CH3) + 14 (from CH2) + 1 (from COOH) = 16 carbon atoms.

### Step 3: Count the number of hydrogen (H) atoms
- The methyl group contributes 3 hydrogen atoms.
- Each of the 14 methylene groups contributes 2 hydrogen atoms, so 14 * 2 = 28 hydrogen atoms.
- The carboxylic acid group contributes 1 hydrogen atom.

Total number of hydrogen atoms = 3 (from CH3) + 28 (from CH2) + 1 (from COOH) = 32 hydrogen atoms.

### Step 4: Count the number of oxygen (O) atoms
- The carboxylic acid group has 2 oxygen atoms (one from C=O and one from -OH).

Total number of oxygen atoms = 2.

### Step 5: Write the final chemical formula
Based on the counts:
- Carbon (C) = 16
- Hydrogen (H) = 32
- Oxygen (O) = 2

Thus, the final chemical formula is C16H32O2.

### Step 6: Identify the compound
Now, we need to identify the compound corresponding to the formula C16H32O2.
- The options provided are:
1. Palmitic Acid (C16H32O2)
2. Stearic Acid (C18H36O2)
3. Glycerol (C3H8O3)
4. Galactose (C6H12O6)

From our analysis, we can see that the formula C16H32O2 matches with Palmitic Acid.

### Conclusion
The correct answer is Palmitic Acid.

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