Question

Iron can be obtained by reduction of iron oxide $(F{e}_3{O}_4)$ with $CO$ according to the reaction:
$F{e}_3{O}_4+4CO\to 3Fe+4C{O}_2$
How many kg of $F{e}_3{O}_4$ should be heated with $CO$ to get $3kg$ of iron?

• A. $8.12g$
• B. $4.14g$
• C. $6.94g$
• D. $16.8g$

Answer 1

Answer: (B)

$\underset{\text{232 g}}{F{e}_3{O}_4}+4CO\to \underset{56\times 3=168g}{3Fe}+4C{O}_2$
$3$ moles of $Fe$ is produced from $1$ mole of $F{e}_3{O}_4$
$168g$ of $Fe$ is produced from $232g$ of $F{e}_3{O}_4$
$3kg$ of $Fe$ will be produced from $\frac{232}{168}\times 3000g$
$=4142.8g$ or $4.14kg$ of $F{e}_3{O}_4$