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Pure iron, Fe, can be produced from an ore called hematite, Fe2O3, by reaction with carbon...

Pure iron, Fe, can be produced from an ore called hematite, Fe2O3, by reaction with carbon at high temperatures. If an iron company needs to make 33 tons of iron, how many tons of hematite must react?

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Answer #1

2 Fe2O3 + 3 C 4 Fe +3 CO2

Molar mass of Fe2O3 = ( 2xAt.mass of Fe) + (3xAt.mass of O)

                                = ( 2x55.8) + ( 3x16)

                                = 159.6 g/mol

Molar mass of Fe = 55.8 g/mol

According to the balanced equation,

2 moles of Fe2O3 ( hematite) produces 4 moles of Fe

2x159.6 g of Fe2O3 ( hematite) produces 4x55.8 g of Fe

2x159.6 tons of Fe2O3 ( hematite) produces 4x55.8 tons of Fe

M tons of Fe2O3 ( hematite) produces 33 tons of Fe

M = ( 33x2x159.6) / (4x55.8)

   = 47.2 tons

Therefore the mass of hematite reacted is 47.2 tons

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