Blast furnaces extra pure iron from the iron(III) oxide in iron ore in a two step sequence. In the first step, carbon and oxygen react to form carbon monoxide: 2C(s) + O₂(g) 2 CO (g) 4 In the second step, iron(III) oxide and carbon monoxide react to form iron and carbon dioxide: Fe₂O3(s) + 3CO(g) 2Fe(s) + 3 CO₂(g) 4 Suppose the yield of the first step is 93.% and the yield of the second step is 91.%. Calculate the mass of carbon required to make 4.0 kg of iron. Be sure your answer has a unit symbol, if needed, and is rounded to 2 significant digits. 10 ola 8 X

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### Blast Furnace Iron Extraction Process

Blast furnaces extract extra pure iron from the iron(III) oxide in iron ore through a two-step sequence:

#### Step 1: Formation of Carbon Monoxide
\[ 2C(s) + O_2(g) \rightarrow 2CO(g) \]

In this step, carbon and oxygen react to form carbon monoxide.

#### Step 2: Reaction with Iron(III) Oxide
\[ Fe_2O_3(s) + 3CO(g) \rightarrow 2Fe(s) + 3CO_2(g) \]

Iron(III) oxide and carbon monoxide react to form iron and carbon dioxide.

#### Problem Statement
Suppose the yield of the first step is 93.9% and the yield of the second step is 91.1%. Calculate the mass of carbon required to make 4.0 kg of iron. Be sure your answer has a unit symbol, if needed, and is rounded to 2 significant digits.

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This is a text-based problem; there are no graphs or diagrams present to explain.
Transcribed Image Text:### Blast Furnace Iron Extraction Process Blast furnaces extract extra pure iron from the iron(III) oxide in iron ore through a two-step sequence: #### Step 1: Formation of Carbon Monoxide \[ 2C(s) + O_2(g) \rightarrow 2CO(g) \] In this step, carbon and oxygen react to form carbon monoxide. #### Step 2: Reaction with Iron(III) Oxide \[ Fe_2O_3(s) + 3CO(g) \rightarrow 2Fe(s) + 3CO_2(g) \] Iron(III) oxide and carbon monoxide react to form iron and carbon dioxide. #### Problem Statement Suppose the yield of the first step is 93.9% and the yield of the second step is 91.1%. Calculate the mass of carbon required to make 4.0 kg of iron. Be sure your answer has a unit symbol, if needed, and is rounded to 2 significant digits. --- This is a text-based problem; there are no graphs or diagrams present to explain.
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