What is the mass, in grams, of 5 moles of Fe_2O_3?

• A. 400 g
• B. 320 g
• C. 560 g
• D. 798 g

Answer: (D)

Verified step by step guidance

1. Identify the chemical formula of the compound, which is \(\mathrm{Fe_2O_3}\), and note that you need to find the mass of 5 moles of this compound.
2. Calculate the molar mass of \(\mathrm{Fe_2O_3}\) by summing the atomic masses of its constituent atoms: 2 atoms of iron (Fe) and 3 atoms of oxygen (O). Use the atomic masses from the periodic table (approximately 55.85 g/mol for Fe and 16.00 g/mol for O). The formula is: \(\text{Molar mass} = 2 \times 55.85 + 3 \times 16.00\).
3. Multiply the molar mass of \(\mathrm{Fe_2O_3}\) by the number of moles given (5 moles) to find the total mass. The formula is: \(\text{Mass} = \text{moles} \times \text{molar mass}\).
4. Set up the calculation explicitly: \(\text{Mass} = 5 \times (2 \times 55.85 + 3 \times 16.00)\) grams.
5. Perform the arithmetic to find the mass in grams, which will give you the mass of 5 moles of \(\mathrm{Fe_2O_3}\).