An organic compound gave 0.4655 g of `CO_(2)` on complete combustion. If the mass of the compound taken was 0.2115g, what is the percentage of C in it?

Options

A. 0.133
B. 0.2667
C. 0.6003
D. 0.288

Explanation

To find the percentage of carbon in the organic compound based on the amount of carbon dioxide produced during combustion, we can follow these steps:

### Step 1: Understand the relationship between CO2 and C
When an organic compound combusts, it produces carbon dioxide (CO2). The mass of carbon in CO2 can be calculated using the molar masses:
- Molar mass of CO2 = 44 g/mol (12 g/mol for C and 32 g/mol for O)
- Molar mass of C = 12 g/mol

### Step 2: Calculate the mass of carbon in the CO2 produced
Using the mass of CO2 produced (0.4655 g), we can find the mass of carbon:
\[ \text{Mass of C} = \left( \frac{\text{Mass of C}}{\text{Mass of CO2}} \right) \times \text{Mass of CO2} \]
\[ \text{Mass of C} = \left( \frac{12 \, \text{g}}{44 \, \text{g}} \right) \times 0.4655 \, \text{g} \]

### Step 3: Perform the calculation
Calculating the mass of carbon:
\[ \text{Mass of C} = \left( \frac{12}{44} \right) \times 0.4655 = 0.1272 \, \text{g} \, \text{(approximately)} \]

### Step 4: Calculate the percentage of carbon in the organic compound
Now, we can find the percentage of carbon in the original organic compound:
\[ \text{Percentage of C} = \left( \frac{\text{Mass of C}}{\text{Mass of organic compound}} \right) \times 100 \]
\[ \text{Percentage of C} = \left( \frac{0.1272 \, \text{g}}{0.2115 \, \text{g}} \right) \times 100 \]

### Step 5: Perform the final calculation
Calculating the percentage:
\[ \text{Percentage of C} \approx 60.03\% \]

### Final Answer
The percentage of carbon in the organic compound is approximately **60.03%**.

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