College

One method for preparing pure iron from [tex]Fe_2O_3[/tex] is by reaction with carbon monoxide.

\[ Fe_2O_3(s) + CO(g) \rightarrow Fe(s) + CO_2(g) \]

How many moles of carbon monoxide are needed to react completely with 122 kg of [tex]Fe_2O_3[/tex]?

Answer :

Answer:

The 2292 moles of CO are needed to react completely with 122 Kg of Fe₂O₃.

Explanation:

Given data:

Mass of Fe₂O₃ = 122 Kg ( 122×1000 = 122000 g)

Moles of CO = ?

Solution:

Chemical equation:

Fe₂O₃ + 3CO → 2Fe + 3CO₂

Number of moles of Fe₂O₃:

Number of moles = mass/ molar mass

Number of moles = 122000 g /159.69 g/mol

Number of moles = 764 mol

Now we will compare the moles of Fe₂O₃ with CO.

Fe₂O₃ : CO

1 : 3

764 : 3×764 =2292 mol

The 2292 moles of CO are needed to react completely with 122 Kg of Fe₂O₃.