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24 February, 16:47

According to the following reaction, how much energy is required to decompose 55.0 kg of Fe3O4? The molar mass of Fe3O4 is 231.55 g mol-1.

Fe3O4 (s) → 3Fe (s) + 2O2 (g) ΔrH° = + 1118 kJ

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  1. 24 February, 17:13
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    The first step is to convert the 55 kg of Fe₃O₄ to moles by using the molar mass, that is, 231.55 g/mol (55 kg = 55000 gms),

    55000 gms * 1 mole / 231.55 gms = 237.53 moles of Fe₃O₄

    For the decomposition of every 1 mole of Fe₃O₄, + 1118 kJ of energy is needed. Therefore, the energy needed to decompose 237.53 moles will be:

    237.53 moles of Fe₃O₄ * 1118 kJ / 1 mole = 265558 kJ

    Thus, there is a need of 265558 kJ of energy to decompose 55 kg of Fe₃O₄.
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