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28 December, 22:48

Iron and carbon monoxide are made by heating 5.53 kg of iron ore, Fe₂O₃, and carbon. What is the theoretical yield of iron in kilograms?

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  1. 28 December, 22:57
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    Mass of Fe produced = 3.86785211069 ≈ 3.87 kg

    Explanation:

    From the question the chemical reaction can be written as follow:

    Fe2O3 + C → Fe + CO

    Balance the equation

    Fe2O3 + 3C → 2Fe + 3CO

    compute the molecular mass of Fe2O3 and atomic mass of Iron (Fe)

    Molecular mass of Fe2O3 = 55.845 (2) + 15.999 (3) = 111.69 + 47.997 = 159.687 g

    Atomic mass of iron = 55.845 g

    From the balanced equation

    159.687 g of Fe2O3 produces 2 * 55.845 = 111.69 g of Fe (iron)

    Convert the 5.53 kg to gram

    1 kg = 1000 g

    5.53 kg = 5.53 * 1000 = 5530 g

    since,

    159.687 g of Fe2O3 produces 2 * 55.845 = 111.69 g of Iron (Fe)

    5530 g of Fe2O3 will produce

    cross multiply

    Mass of Fe produced = 5530 * 111.69/159.687

    Mass of Fe produced = 617645.7

    /159.687

    Mass of Fe produced = 3867.85211069 g

    convert to kg

    1000 g = 1 kg

    3867.85211069 = 3867.85211069/1000

    Mass of Fe produced = 3.86785211069 ≈ 3.87 kg
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