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QUESTION

# Find the amount in Grams of Fe2O3 required to make 1000 Kilograms of Fe. 2Fe2O3 + 3C ------&gt; 4Fe + 3Co2?

1.430 × 10^6color(white)(l) "g Fe"_2"O"_3

1. Find the number of moles of Fe you need to make by dividing mass by .

Since you need grams at the end, convert kilograms to grams first.

1000 kg = 1 000 000 g.

Divide by 55.85 g/mol Fe.

1 000 000 g ÷ 55.85 g/mol Fe = 17 905 mol Fe.

2. The ratio of Fe_2O_3 to Fe is 2:4, so you'll need half as much Fe_2O_3 as Fe.

"17 905 mol Fe" ÷ "2 mol Fe/mol Fe"_2"O"_3 = "8952.6 mol Fe"_2"O"_3
3. Multiply this number by the formula mass of Fe_2O_3:
"8952.6 mol Fe"_2"O"_3 × "((55.85×2)+(16.00×3)) g/mol Fe"_2"O"_3 = 1.430 × 10^6 "g Fe"_2"O"_3.