For the following equation, Fe2O3(s)+3CO(g)→2Fe(s)+3CO2(g), when 3.0 mol Fe2O3 is allowed to completely react with 56 g CO, approximately how many moles of iron, Fe, are produced?
A
0.7
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B
1.3
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C
2.0
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D
2.7
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E
6.0
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Solution
The correct option is A1.3 The atomic masses of C and O are 12 g/mol and 16 g/mol respectively. The molar mass of CO is 12+16=28 g/mol. 56 g CO corresponds to 5628=2 moles. As per balanced chemical equation, 1 mole of Fe2O3 will react with 3 moles of CO. Hence, 3.0 moles of Fe2O3 will react with 3.0×3=9 moles of CO. However only 2 moles of CO are present. Hence, CO is the limiting reagent and Fe2O3 is excess reagent. As per the balanced chemical equation, 3 moles of CO produces 2 moles of Fe. Hence, 2 moles of CO will produce 2×23=1.3 moles of Fe.