
Julia S. answered 07/25/21
Math and Science Made Manageable
Your problem is worded strangely. You are not creating C from Fe2O3 - they are both reactants. It makes more sense to ask how much Fe2O3 is required to create 9.01g of CO. For this problem, though, I will calculate how much Fe2O3 we will produce if we produced 9.01g of C.
We are given 9.01 g C, so let's see how many moles that is. Use stoichiometry with carbon's molecular weight to calculate:
9.01 g / 12.011 g/mol = 0.75 mol C
Notice that this is 3 molar equivalents. Think of it like the equation 3X = 0.75. We must figure out what x is so that we can apply it to the Fe2O3.
0.75 / 3 = 0.25 mol per molar equivalent
We create 1 molar equivalent of Fe2O3, which is 0.25 moles. From here we can calculate the g of Fe2O3.
0.25 mol * 159.69 g/mol = 42.42 g Fe2O3