An organic compound contain `54%` carbon. It could be

Options

A. Ethanol
B. Dimethyl ether
C. diethyl ether
D. Acetic acid

Explanation

To determine which organic compound contains 54% carbon, we will calculate the percentage of carbon in each of the given compounds. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Compounds
The compounds given in the question are:
1. Ethanol (C2H5OH)
2. Dimethyl ether (C2H6O)
3. Diethyl ether (C4H10O)
4. Acetic acid (C2H4O2)

### Step 2: Calculate the Molecular Weight of Each Compound
- **Ethanol (C2H5OH)**:
- Carbon (C): 2 × 12 = 24 g/mol
- Hydrogen (H): 6 × 1 = 6 g/mol
- Oxygen (O): 1 × 16 = 16 g/mol
- Total Molecular Weight = 24 + 6 + 16 = 46 g/mol

- **Dimethyl ether (C2H6O)**:
- Carbon (C): 2 × 12 = 24 g/mol
- Hydrogen (H): 6 × 1 = 6 g/mol
- Oxygen (O): 1 × 16 = 16 g/mol
- Total Molecular Weight = 24 + 6 + 16 = 46 g/mol

- **Diethyl ether (C4H10O)**:
- Carbon (C): 4 × 12 = 48 g/mol
- Hydrogen (H): 10 × 1 = 10 g/mol
- Oxygen (O): 1 × 16 = 16 g/mol
- Total Molecular Weight = 48 + 10 + 16 = 74 g/mol

- **Acetic acid (C2H4O2)**:
- Carbon (C): 2 × 12 = 24 g/mol
- Hydrogen (H): 4 × 1 = 4 g/mol
- Oxygen (O): 2 × 16 = 32 g/mol
- Total Molecular Weight = 24 + 4 + 32 = 60 g/mol

### Step 3: Calculate the Percentage of Carbon in Each Compound
The formula for calculating the percentage of carbon is:
\[ \text{Percentage of Carbon} = \left( \frac{\text{Total Weight of Carbon}}{\text{Total Molecular Weight}} \right) \times 100 \]

- **Ethanol**:
\[ \text{Percentage of Carbon} = \left( \frac{24}{46} \right) \times 100 \approx 52.17\% \]

- **Dimethyl ether**:
\[ \text{Percentage of Carbon} = \left( \frac{24}{46} \right) \times 100 \approx 52.17\% \]

- **Diethyl ether**:
\[ \text{Percentage of Carbon} = \left( \frac{48}{74} \right) \times 100 \approx 64.86\% \]

- **Acetic acid**:
\[ \text{Percentage of Carbon} = \left( \frac{24}{60} \right) \times 100 \approx 40\% \]

### Step 4: Compare the Results
From the calculations:
- Ethanol: 52.17%
- Dimethyl ether: 52.17%
- Diethyl ether: 64.86%
- Acetic acid: 40%

### Conclusion
The compounds that are closest to containing 54% carbon are **Ethanol** and **Dimethyl ether**, both of which have approximately 52.17% carbon.

### Final Answer
The organic compound that contains approximately 54% carbon could be **Ethanol** and **Dimethyl ether**.

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