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19 December, 00:45

How many kilojoules of heat will be released when exactly 1 mole of iron, Fe, is burned to form Fe2O3 at standard state condaition?

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  1. 19 December, 02:56
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    412.1kJ

    Explanation:

    For the reaction, from the question -

    4Fe (s) + 3O₂ (g) → 2Fe₂O₃ (s)

    Δ Hrxn = Δ H°f (products) - Δ H°f (reactants)

    In case the compound is in its standard state, enthalphy of formation is zero

    Hence,

    for the above reaction,

    ΔHrxn = (2 * Δ H° (Fe₂O₃)) - [ (4 * Δ H° Fe) + (3 * Δ H° O₂) ]

    The value for Δ H° (Fe₂O₃) = - 824.2kJ/mol

    Δ H° Fe = 0

    Δ H° O₂ = 0

    Putting in the above equation,

    ΔH rxn = (2 * Δ H° (Fe₂O₃)) - 0

    ΔHrxn = 2 * - 824.2 kJ / mol = - 1648.4 kJ/mol

    - 1648.4 kJ/mol, this much heat is released by the buring of 4 mol of Fe.

    Hence,

    for 1 mol of Fe,

    - 1648.4 kJ/mol / 4 = 412.1kJ
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