We can use the balanced chemical equation for reaction A, which is:
2 Fe2O3 + 3 C -> 4 Fe + 3 CO2
The equation tells us that for every 2 moles of Fe2O3, 3 moles of C are required. We are given the amount of Fe2O3, which is 6.00 mol, so we can use that to determine the amount of C required.
First, let's calculate the amount of Fe2O3:
6.00 mol Fe2O3 / (2 mol Fe2O3 / 3 mol C) = 9.00 mol C
So, 9.00 moles of carbon are required to completely react with 6.00 moles of Fe2O3 in reaction A.
To convert moles to the number of molecules, we use Avogadro's number, which is 6.022 x 10^23 molecules/mol:
9.00 moles C * (6.022 x 10^23 molecules/mol) = 5.420 x 10^24 molecules of C.