Same mass of glucose `(C_(6)H_(12)O_(6))` and acetic acid `(CH_(3)COOH)` contain:

Options

A. same number of carbon atoms
B. same number of hydrogen atoms
C. same number of oxygen atoms
D. all of the above

Answer

To solve the problem of comparing the same mass of glucose \((C_6H_{12}O_6)\) and acetic acid \((CH_3COOH)\), we need to follow these steps:

### Step 1: Determine the Molar Mass of Glucose
1. **Calculate the molar mass of glucose**:
- Carbon (C): 12 g/mol, and there are 6 carbon atoms.
- Hydrogen (H): 1 g/mol, and there are 12 hydrogen atoms.
- Oxygen (O): 16 g/mol, and there are 6 oxygen atoms.

\[ \text{Molar mass of } C_6H_{12}O_6 = (6 \times 12) + (12 \times 1) + (6 \times 16) = 72 + 12 + 96 = 180 \text{ g/mol} \]

### Step 2: Determine the Molar Mass of Acetic Acid
2. **Calculate the molar mass of acetic acid**:
- Carbon (C): 12 g/mol, and there are 2 carbon atoms.
- Hydrogen (H): 1 g/mol, and there are 4 hydrogen atoms.
- Oxygen (O): 16 g/mol, and there are 2 oxygen atoms.

\[ \text{Molar mass of } CH_3COOH = (2 \times 12) + (4 \times 1) + (2 \times 16) = 24 + 4 + 32 = 60 \text{ g/mol} \]

### Step 3: Calculate the Number of Moles for Each Substance
3. **Calculate the number of moles for glucose and acetic acid**:
- Let the mass of each substance be \( m \) grams.
- The number of moles of glucose:
\[ n_{C_6H_{12}O_6} = \frac{m}{180} \]
- The number of moles of acetic acid:
\[ n_{CH_3COOH} = \frac{m}{60} \]

### Step 4: Compare the Number of Moles
4. **Compare the number of moles**:
- Since both substances have the same mass \( m \), we can compare the number of moles:
\[ n_{C_6H_{12}O_6} = \frac{m}{180}, \quad n_{CH_3COOH} = \frac{m}{60} \]

### Step 5: Determine the Ratio of Moles
5. **Determine the ratio of moles**:
- To find out how many moles of acetic acid are present compared to glucose:
\[ \frac{n_{CH_3COOH}}{n_{C_6H_{12}O_6}} = \frac{\frac{m}{60}}{\frac{m}{180}} = \frac{180}{60} = 3 \]
- This means that for the same mass, there are 3 times more moles of acetic acid than glucose.

### Conclusion
Thus, the same mass of glucose and acetic acid contains different numbers of moles, with acetic acid having more moles than glucose.