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Multiple Choice
How many moles of carbon are needed to react with 525 g of hematite (Fe2O3) in the following reaction: Fe2O3 + 3C β 2Fe + 3CO?
A
3.28 moles
B
6.56 moles
C
2.46 moles
D
1.64 moles
Verified step by step guidance
1
Determine the molar mass of hematite (Fe2O3) by adding the atomic masses of its constituent elements: Fe (55.85 g/mol) and O (16.00 g/mol). The formula is: Molar mass of Fe2O3 = 2(55.85) + 3(16.00).
Convert the given mass of hematite (525 g) to moles using its molar mass. Use the formula: Moles of Fe2O3 = mass (g) / molar mass (g/mol).
Use the stoichiometry of the balanced chemical equation to find the mole ratio between Fe2O3 and carbon (C). According to the equation, 1 mole of Fe2O3 reacts with 3 moles of C.
Calculate the moles of carbon needed by multiplying the moles of Fe2O3 by the stoichiometric ratio (3 moles of C per 1 mole of Fe2O3).
Verify the calculation by checking the units and ensuring that the stoichiometric conversion aligns with the balanced chemical equation.