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Studentka2010 [4]
3 years ago
12

If 4000 g of Fe2O3 reacts, how many moles of CO are needed? (add work)

Chemistry
1 answer:
7nadin3 [17]3 years ago
5 0

Answer:

75.15 mol.

Explanation:

  • Firstly, we need to write the balanced equation of the reaction:

<em>Fe₂O₃ + 3CO → 2Fe + 3CO₂.</em>

It is clear that 1.0 mole of Fe₂O₃ reacts with 3.0 moles of CO to produce 2.0 moles of Fe and 3.0 moles of CO₂.

∴ Fe₂O₃ reacts with CO with (1: 3) molar ratio.

  • we need to calculate the no. of moles of (4000 g) of Fe₂O₃:

<em>no. of moles of Fe₂O₃ = mass/molar mass</em> = (4000 g)/(159.69 g/mol) = <em>25.05 mol.</em>

<u>Using cross multiplication:</u>

1.0 mole of Fe₂O₃ needs → 3.0 moles of CO,

∴ 25.05 mole of Fe₂O₃ needs → ??? moles of CO.

<em>∴ The no. of moles of CO needed</em> = (3.0 mol)(25.05 mol)/(1.0 mol) =<em> 75.15 mol.</em>

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