Final answer:
To identify the unknown organic compound, we can use the masses of CO₂ and H₂O produced during its combustion to calculate the masses of carbon and hydrogen in the sample.
Step-by-step explanation:
Upon combustion, 1 mol of CO₂ is produced for each mole of carbon atoms in the original sample. Similarly, 1 mol of H₂O is produced for every 2 mol of hydrogen atoms present in the sample. The masses of carbon and hydrogen in the original sample can be calculated from these ratios, the masses of CO₂ and H₂O, and their molar masses. Because the units of molar mass are grams per mole, we must first convert the masses from milligrams to grams: