In a blast furnace, a substance called coke (mainly C) reacts with oxygen, 02. t

Question

In a blast furnace, a substance called coke (mainly C) reacts with oxygen, 02. to form carbon monoxide. CO. The carbon monoxide {a strong reducing agent) then reacts with iron oxide {in the form of hematite or magnetite) to form pig iron {mainly Fe) and carbon dioxide. C02. How many tons of coke are needed per week to produce 7.51 times 104 tons of pig iron from a modern blast furnace using hematite? Assume that coke is pure carbon, pig iron is pure iron, and all reactions have 100% yield. Express your answer numerically in tons. How many tons of slag are produced by a modern blast furnace using 2.2 times 104 tons of limestone. CaCoa? Assume that slag is pure calcium silicate (CaSiOa) and that all reactions go to completion. Express your answer numerically in tons.

Explanation / Answer

Part A

The balanced reaction for the reduction of henatite is

Fe2O3 + 3CO ------> 2Fe + 3CO2

so to produce 2 x 55.85 g of Fe 3 x 12 g of coke is required

Therefore to produce 7.51 x 104 tons, i.e. 7.51 x 104 x 106 g of Fe, coke required

= 3 x 12 x 7.51 x 104 x 106 / 2 x 55.85 g = 2.42 x 1010 g = 2.42 x 104 ton

Part B

CaCO3 + SiO2 -----> CaSiO3 + CO2

100.09 g of limestone produces 116.17 g of slag

therefore 2.25 x 104 ton of limestone produces 116.17 x 2.25 x 104 / 100.09 = 2.61 x 104 ton of slag

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