Question

Read the chemical equation. Fe2O3 + CO → Fe + CO2 If 3 moles of Fe2O3 react with 1.5 moles of CO, how many moles of each product are formed?
A. 1 mole of Fe and 1.5 moles of CO2
B. 0.5 mole of Fe and 1 mole of CO2
C.6 moles of Fe and 9 moles of CO2
D.3 moles of Fe and 2 moles of CO2

Thanks

Update; ITS NOT C

Answer 1

Answer:- A) 1 mole of Fe and 1.5 moles of $CO_2$ .

Solution:- The balanced equation is:

$Fe_2O_3+3CO\rightarrow 2Fe+3CO_2$

From balanced equation, there is 1:3 mol ratio between $Fe_2O_3$ and CO,  From given data, 3 moles of  $Fe_2O_3$ and 1.5 moles of CO are taken for the reaction. CO is the limiting reactant as it's moles are less than the other reactant and which is also clear from the mole ratio. We could do the calculations also to support this. Let's calculate the moles of CO required to react completely with given 3 moles of  $Fe_2O_3$ .

$3molFe_2O_3(\frac{3molCO}{1molFe_2O_3})$

= 9 mol CO

So, from calculations, 9 moles of CO are required to react completely with 3 moles of Iron(III)oxide but only 1.5 moles of CO are available. Hence, CO is the limiting reactant and the product moles are calculated from this as:

$1.5molCO(\frac{2molFe}{3molCO})$

= 1 mol Fe

$1.5molCO(\frac{3molCO_2}{3molCO})$

= 1.5 mol $CO_2$

So, the correct choice is A) 1 mole of Fe and 1.5 moles of $CO_2$ .