To find the empirical formula, we first assume a 100 gm sample. Thus, the percentages become grams:
- Carbon: 38.71 gm
- Hydrogen: 9.67 gm
- Oxygen: 100 - 38.71 - 9.67 = 51.62 gm
Now, we divide the grams of each element by their atomic mass:
- Carbon: \( \frac{38.71}{12} = 3.23 \)
- Hydrogen: \( \frac{9.67}{1} = 9.67 \)
- Oxygen: \( \frac{51.62}{16} = 3.23 \)
The simplest whole number ratio is approximately 1:2:1, which gives the empirical formula \( CH_2O \).