Answer :

To find the mass in grams of 5.00 moles of [tex]\( \text{Fe}_2\text{O}_3 \)[/tex], we need to follow these steps:

1. Determine the Molar Mass of [tex]\( \text{Fe}_2\text{O}_3 \)[/tex]:
- The compound [tex]\( \text{Fe}_2\text{O}_3 \)[/tex] consists of iron (Fe) and oxygen (O).
- The atomic mass of iron (Fe) is approximately 55.845 g/mol.
- The atomic mass of oxygen (O) is approximately 16.00 g/mol.
- The formula [tex]\( \text{Fe}_2\text{O}_3 \)[/tex] indicates there are 2 iron atoms and 3 oxygen atoms.

Calculate the molar mass:
[tex]\[
\text{Molar mass of } \text{Fe}_2\text{O}_3 = (2 \times 55.845) + (3 \times 16.00)
\][/tex]

2. Calculate the Moles of Each Element:
- There are 2 moles of iron (Fe) and 3 moles of oxygen (O) for every mole of [tex]\( \text{Fe}_2\text{O}_3 \)[/tex].

3. Calculate Total Molar Mass:
- Calculate:
[tex]\[
2 \times 55.845 = 111.69
\][/tex]
[tex]\[
3 \times 16.00 = 48.00
\][/tex]
- Add these results to get the total molar mass of [tex]\( \text{Fe}_2\text{O}_3 \)[/tex]:
[tex]\[
111.69 + 48.00 = 159.69 \text{ g/mol}
\][/tex]

4. Determine the Total Mass for 5.00 Moles:
- Use the formula:
[tex]\[
\text{Mass} = \text{moles} \times \text{molar mass}
\][/tex]
- Substitute the known values:
[tex]\[
\text{Mass} = 5.00 \text{ moles} \times 159.69 \text{ g/mol}
\][/tex]

5. Calculate the Mass:
- Perform the multiplication:
[tex]\[
5.00 \times 159.69 = 798.45 \text{ g}
\][/tex]

Therefore, the mass of 5.00 moles of [tex]\( \text{Fe}_2\text{O}_3 \)[/tex] is 798.45 grams.

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