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Answer to Question #56364 in General Chemistry for Jasmine

Question #56364
Pure iron can be extracted from iron ore, Fe203, from the reduction of carbon monoxide as shown by the following sequence of steps.

Step 1 c + O2 --> CO2
Step 2 CO2 + c --> 2CO
Step 3 Fe2O3 + 3CO --> 2Fe + 3CO2

In a single run, what is the maximum mass of iron that can be extracted from 60.0 g of carbon?
Expert's answer
Let's combine first two reactions in order to see how much of CO can be formed from the carbon. So summarizing the reactions, and excluding the CO2 (because its presented on both sides) we obtain the following chemical reaction.
C + O2 + CO2 + C = CO2 + 2CO
C + O2 + CO2 + C = CO2 + 2CO
2C + O2 = 2CO
So the total amount of the produced CO is equal to the amount of the initial carbon. We should calculate the amount of CO.
n(CO) = n(C) = m(C)/M(C) = 60/12 = 5 mol
From the reduction reaction we see that the amount of Fe is 1.5 less than the amount of CO. Using formulas, we must calculate the amount of iron, and then its mass.
Fe2O3 + 3CO = 2Fe + 3CO2
n(Fe) = [2*n(CO)]/3 =2*5/3=3.33 mol
m(Fe) = n(Fe)*M(Fe) = 3.33*56 =186.67 g

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