Answer
Mass of Carbon = 0.1087 grams
Mass of Hydrogen = 0.0066 grams
% Carbon = 94.27 %
% Hydrogen = 5.72%
Work Step by Step
Step 1:
Use $CO_2$ and $H_2O$ to get the mass of Carbon and Hydrogen, respectively.
Mass of carbon = $0.3986 \times \frac{12}{44} = 0.1087 grams$
Mass of hydrogen = $0.0578 \times \frac{2}{18} = 0.0066 grams$
Step 2:
Calculate the percentage
% carbon = $\frac{0.1087}{0.1153} \times 100 = 94.27 \%$
% hydrogen = $\frac{0.0066}{0.1153} \times 100 = 5.57 \%$