2Fe2O3+C3-->4Fe+3CO2 how many tons of Fe2O3 must react with Carbon if an iron company needs to make 50.6 tons of iron

Answer 1

We have to assume we are on earth because tons is a unit of force (weight) while we measure molar mass in units of mass. But, it's safe to assume, right?

The balanced chemical reaction equation shows the number of moles of carbon that are required to react with Ferric Oxide to get iron. 2 moles of ferric oxide combine with 1 mole of C3 to get 4 moles of iron and 3 moles of carbon dioxide.

To determine how many moles 50.6 tons of iron is, you would need to start by finding the molar mass of iron form the periodic table. Looking it up, we see it has the molar mass of 55.845 g/mol.

Convert 50.6 tons into grams:

50.6 tons x 907.2 kg/ton x 1000 g/kg = 45904320 grams

Convert grams to moles:

(45904320 grams)/(55.845 g/mol) = 821995 moles.

We only need half that for number of moles of Fe₂O₃ so 410998 moles of Fe₂O₃

Now, convert that back to tons by first calculating the molar mass of Fe₂O₃:

Fe: 55.845 x 2 = 111.69

O: 15.999 x 3 = 47.997

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Fe₂O₃ = 159.687 g/mol

So 410998 moles of Fe₂O₃ = (410998 moles)(159.687 g/mol) = 65630971 grams of Fe₂O₃ = 65631 kg Fe₂O₃ = 72.3 tons of Fe₂O₃