Question

Iron metal is obtained from the reaction of hematite [iron (III) oxide, Fe2O3] with carbon monoxide in a blast furnace. Fe2O3 (s) + 3 CO (g) _______> 2 Fe (s) + 3 CO2 (g) (a) Calculate the number of grams of iron metal that can be obtained from 1.00 kg of hematite (assuming that you have enough CO available for any reaction). __________ Feb) Calculate the amount of CO2 in grams that you you will get in this reaction, using the amount of hematite in (a). ________ g CO2

Answer 1

Answer :

(a) The number of grams of iron metal obtained, 698.616 g

(b) The number of grams of carbon dioxide used in the reaction, 826.32 g

Solution : Given,

Mass of hematite = 1 Kg = 1000 g

Molar mass of hematite = 159.69 g/mole

Molar mass of iron = 55.8 g/mole

Molar mass of carbon dioxide = 44 g/mole

(a) First we have to calculate the moles of hematite.

$\text{Moles of hematite}=\frac{\text{Mass of hematite}}{\text{Molar mass of hematite}}=\frac{1000g}{159.69g/mole}=6.26moles$

Now we have to calculate the moles of iron.

The given balanced reaction is,

$Fe_2O_3(s)+3CO(g)\rightarrow 2Fe(s)+3CO_2(g)$

From the balanced reaction, we conclude that

As, 1 mole of hematite react to give 2 moles of iron

So, 6.26 moles of hematite react to give $2\times 6.26=12.52$ moles of iron

Now we have to calculate the mass of iron.

$\text{Mass of iron}=\text{Moles of iron}\times \text{Molar mass of iron}$

$\text{Mass of iron}=(12.52moles)\times (55.8g/mole)=698.616g$

(b) Now we have to calculate the moles of carbon dioxide.

From the balanced reaction we conclude that

As, 1 mole of hematite react to give 3 moles of carbon dioxide

So, 6.26 moles of hematite react to give $3\times 6.26=18.78$ moles of carbon dioxide

Now we have to calculate the mass of carbon dioxide.

$\text{Mass of }CO_2=\text{Moles of }CO_2\times \text{Molar mass of }CO_2$

$\text{Mass of }CO_2=(18.78moles)\times (44g/mole)=826.32g$

Therefore, (a) The number of grams of iron metal obtained, 698.616 g

(b) The number of grams of carbon dioxide used in the reaction, 826.32 g