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24 March, 07:42

Iron is extracted from iron oxide in the blast furnace. Calculate the maximum theoretical mass of iron that can be made from 100g of iron oxide

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  1. 24 March, 08:29
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    69.918 g

    Explanation:

    We are given;

    Mass of iron oxide as 100 g

    We are supposed to determine the maximum theoretical yield of Iron from the blast furnace;

    The equation for the reaction in the blast furnace that extracts Iron from iron oxide is given by;

    Fe₂O₃ + 3CO → 2Fe + 3CO₂

    We can first determine moles of Iron oxide;

    Moles = Mass : Molar mass

    Molar mass of Fe₂O₃ = 159.69 g/mol

    Therefore;

    Moles of Fe₂O₃ = 100 g : 159.69 g/mol

    = 0.626 moles

    Then we determine moles of Iron produced

    From the equation;

    1 mole of Fe₂O₃ reacts to produce 2 moles of Fe

    Therefore;

    Moles of Fe = Moles of Fe₂O₃ * 2

    = 0.626 moles * 2

    = 1.252 moles

    Maximum theoretical mass of Iron that can be obtained

    Mass = Moles * molar mass

    Molar mass of Fe = 55.845 g/mol

    Therefore;

    Mass of Fe = 1.252 moles * 55.845 g/mol

    = 69.918 g

    Therefore, the maximum theoretical mass of Iron metal obtained is 69.918 g
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