In producing pure iron metal from its ore, iron(III) oxide and carbon must react according to the following balanced chemical equation: Fe2O3(s) + 3 C(s) --> 2 Fe(s) + 3 CO(g)
A. 1.47 x 10^3 mol
B. 2.95 x 10^3 mol
C. 5.89 x 10^3 mol
D. 1.18 x 10^4 mol
Oops. You didn't copy all of the problem. In fact, there IS NO question there.
Which one is it?
To find out how many moles of iron can be produced, we need to use the balanced chemical equation and the given information.
The balanced chemical equation shows that 1 mole of Fe2O3 reacts with 3 moles of C to produce 2 moles of Fe.
By comparing the stoichiometric ratios, we can determine the mole ratio between Fe2O3 and Fe. In this case, it is 1:2.
The given question gives the number of moles of Fe2O3, which is 1.47 x 10^3 mol.
To find the number of moles of Fe that can be produced, we can use the mole ratio:
1.47 x 10^3 mol Fe2O3 × (2 mol Fe / 1 mol Fe2O3) = 2.94 x 10^3 mol Fe
Therefore, the correct answer is B. 2.95 x 10^3 mol.