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How many grams of iron(III) oxide are there in 0.500 mol of this substance?

A. 160. g
B. 63.8 g
C. 35.9 g
D. 79.9 g
E. 51.9 g

Answer :

To find out how many grams of iron(III) oxide (Fe₂O₃) are in 0.500 moles of this substance, we need to use the molar mass of Fe₂O₃.

First, let's calculate the molar mass of Fe₂O₃. Iron (Fe) has an atomic mass of approximately 55.8 g/mol, and oxygen (O) has an atomic mass of approximately 16.0 g/mol.

The chemical formula of iron(III) oxide is Fe₂O₃, which means it contains two iron atoms and three oxygen atoms. We calculate the molar mass as follows:

  1. Iron:
    [tex]2 \times 55.8 \text{ g/mol} = 111.6 \text{ g/mol}[/tex]

  2. Oxygen:
    [tex]3 \times 16.0 \text{ g/mol} = 48.0 \text{ g/mol}[/tex]

  3. Total Molar Mass of Fe₂O₃:
    [tex]111.6 \text{ g/mol} + 48.0 \text{ g/mol} = 159.6 \text{ g/mol}[/tex]

Now that we know the molar mass of Fe₂O₃ is 159.6 g/mol, we can calculate the mass of 0.500 moles of Fe₂O₃ using the formula:

[tex]\text{mass} = \text{moles} \times \text{molar mass}[/tex]

Substitute the values:

[tex]\text{mass} = 0.500 \text{ moles} \times 159.6 \text{ g/mol}[/tex]

[tex]\text{mass} = 79.8 \text{ g}[/tex]

Therefore, there are approximately 79.8 grams of iron(III) oxide in 0.500 moles of the substance.

The correct option from the multiple-choice answers is closest to 79.9 g, so the answer is 79.9 g.

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Rewritten by : Jeany