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Question: > Iron can be obtained by reduction of iron oxide \((Fe_{3}O_{4})\) with CO according to the reactio...

Iron can be obtained by reduction of iron oxide (Fe3O4)(Fe_{3}O_{4}) with CO according to the reaction:

Fe3O4+4CO3Fe+4CO2Fe_{3}O_{4} + 4CO \rightarrow 3Fe + 4CO_{2}

How many Kg of Fe3O4Fe_{3}O_{4} should be heated with CO to get 3 kg of iron?

A

8.12kg8.12kg

B

4.14kg4.14kg

C

6.94kg6.94kg

D

16.8Kg16.8Kg

Answer

4.14kg4.14kg

Explanation

Solution

(2) : Fe3O4232g+4CO3Fe56×3=168g+4CO2\underset{232g}{Fe_{3}O_{4}} + 4CO \rightarrow \underset{56 \times 3 = 168g}{3Fe} + 4CO_{2}

3 moles of Fe is produced from 1 mole of Fe3O4Fe_{3}O_{4}

168 g of Fe is produced from 232 g of Fe3O4Fe_{3}O_{4}

3 kg of Fe will be produced from 232168×3000\frac{232}{168} \times 3000

=4142.8 g

Or 4.144.14kg of Fe3O4Fe_{3}O_{4}