Question

what is the maximum mass of iron can be produced from 31.9 g of minerals?

Answer 1

Question #62961, Chemistry / Inorganic Chemistry

What is the maximum mass of iron can be produced from 31.9 g of minerals?

Solution:

The iron itself is usually found in the form of magnetite (Fe₃O₄, 72.4% Fe). Iron can be produced according to equation:

$$\mathrm{Fe_3O_4} + 2\mathrm{C} \rightarrow 2\mathrm{CO_2} + 3\mathrm{Fe}$$ $$m(Fe) = \frac{m(Fe_3O_4) \times 3 \times M_r(Fe)}{M_r(Fe_3O_4)}$$ $$m(Fe) = \frac{31.9\,g \times 3 \times 55.845\, \frac{g}{mol}}{231.533\, \frac{g}{mol}} = 23.08\,g$$

Answer:

23.08 g

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