A reaction involved in the production of iron from iron ore is: Fe2O3(s)
CO (g)
Fe (s)
CO2
a) How many kilograms of CO must react to produce 3.50 kg of Fe?
b) What mass of CO, would be produced?

a) 2.632 kg

b) 41.36 kg

Explanation:

Given data:

Mass of CO react = ?

Mass of Fe formed = 3.50 Kg (3.50 /1000 =3500 g)

Mass of CO₂ formed = ?

Solution:

Chemical equation;

Fe₂O₃ + 3CO     →   2Fe + 3CO₂

Number of moles of Fe:

Number of moles = mass/molar mass

Number of moles =  3500 g/55.85 g/mol

Number of moles = 62.67 mol

now we will compare the moles of iron with CO.

            Fe         :       CO

             2          :       3

          62.67     :        3/2×62.67 = 94 mol

Mass of CO:

Mass = number of moles × molar mass

Mass = 94 mol × 28 g/mol

Mass = 2632 g

In kilogram:

2632g × 1 Kg /1000 g

2.632 kg

Now we will compare the moles of Fe with CO₂

                 Fe         :           CO₂

                  2          :           3

               62.67     :        3/2×62.67 = 94 mol

Mass of CO₂:

Mass = number of moles × molar mass

Mass = 94 mol × 44 g/mol

Mass = 4136 g

In kilogram:

4136g × 1 Kg /1000 g

41.36 kg