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Question

Magnetite, Fe3O4, can be converted into metallic ironftl heating with carbon monoxide as represented by this equation
Fe3O4+4CO3Fe+4CO2
How many kilogram of Fe3O4 must be processed in this way to obtain 5 kg iron; if the process is 85% efficient ?
(Molar mass of Fe3O4 is 232 g mol1. )

A
6.92 kg
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B
8.12 kg
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C
20.8 kg
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D
24.4 kg
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Solution

The correct option is D 8.12 kg
A balanced chemical equation can be given as:
Fe3O4+4CO3Fe+4CO2
In the given equation:

1 mol Fe3O4(232)=3moleFe(165g)

Amount of Fe3O4 required for 5 kg iron =232168×5kg

Since, efficiency of the reaction is 85%, hence, We actual required amount of Fe3O4will be

=100×6.90485kg, i.e., = 8.12 kg

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