Answer:
D. 57.14%
Step-by-step explanation:
The chemical formula for vitamin B6 is C8H11NO3. To calculate the percent composition of carbon, you need to find the molar mass of carbon and the molar mass of the entire compound, then use the formula:
\[ \text{Percent composition of carbon} = \left( \frac{\text{Number of moles of carbon}}{\text{Total moles in the compound}} \right) \times 100 \]
The molar mass of carbon is approximately 12.01 g/mol.
The molar mass of C8H11NO3 can be calculated as follows:
\[ (8 \times \text{molar mass of carbon}) + (11 \times \text{molar mass of hydrogen}) + (\text{molar mass of nitrogen}) + (3 \times \text{molar mass of oxygen}) \]
\[ (8 \times 12.01) + (11 \times 1.01) + 14.01 + (3 \times 16.00) \]
\[ 96.08 + 11.11 + 14.01 + 48.00 \]
\[ \approx 169.20 \, \text{g/mol} \]
Now, calculate the percent composition of carbon:
\[ \text{Percent composition of carbon} = \left( \frac{(8 \times 12.01)}{169.20} \right) \times 100 \]
\[ \approx \frac{96.08}{169.20} \times 100 \]
\[ \approx 56.77\% \]
Therefore, the correct option is not provided among the given choices. The closest value is 57.14%, but none of the options exactly matches the calculated value.