What volume of carbon dioxide, measured at room temperature and pressure, would be obtained by the reduction of 320g of iron(III)oxide?

Question

What volume of carbon dioxide, measured at room temperature and pressure, would be obtained by the reduction of 320g of iron(III)oxide?

Answer 1

Iron(III) oxide is Fe2O3 and there are a couple of ways it can be reduced.  

Fe2O3 + 3CO ==> 2Fe + 3CO2

2Fe2O3 + 3 C ==> 4Fe + 3CO2

 

The question didn't state what the reducing agent is, so I'll use the first one (carbon monoxide)

Fe2O3 + 3CO ==> 2Fe + 3CO2

moles Fe2O3 used = 320 g x 1 mole/160 g = 2 moles

moles CO2 produced = 2 moles Fe2O3 x 3 moles CO2/mole Fe2O3 = 6 moles CO2

Taking room temperature and pressure to be ~25ºC and 1 atm, then 1 mole = 24 liters

6 moles CO2 x 24 L/mole = 144 liters of CO2