Final answer:
To find the mass of oxygen in the original compound, the masses of carbon and hydrogen calculated from the moles given are subtracted from the total mass of the compound, resulting in 0.2588 g of oxygen.
Step-by-step explanation:
To calculate the mass of oxygen in the original compound, we start by subtracting the masses of carbon and hydrogen. From the combustion analysis, we know that the molar mass of carbon (C) is 12.01 g/mol and hydrogen (H) is 1.008 g/mol. With 0.0161 moles of carbon, the mass of carbon is 0.0161 moles × 12.01 g/mol = 0.1934 g.
For hydrogen, with 0.0484 moles, the mass is 0.0484 moles × 1.008 g/mol = 0.0488 g.
By subtracting the mass of carbon and hydrogen from the original mass of the sample, we can find the mass of oxygen: 0.501 g - (0.1934 g + 0.0488 g) = 0.2588 g of oxygen in the original compound.