When the formula equation $F e_{3} O_{4} + A l \to A l_{2} O_{3} + F e$ $Fe_3O_4 + Al -> Al_2O_3 + Fe$ is correctly balanced what is the coefficient of $F e$ $Fe$ ?

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When the formula equation $F e_{3} O_{4} + A l \to A l_{2} O_{3} + F e$ $Fe_3O_4 + Al -> Al_2O_3 + Fe$ is correctly balanced what is the coefficient of $F e$ $Fe$ ?

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Answer 1 · 2018-05-27T10:01:00

Well... $F e_{3} O_{4}$ $Fe_3O_4$ is a mixed valence oxide... $F e_{3} O_{4} \equiv F e O \cdot F e_{2} O_{3}$ $Fe_3O_4-=FeO*Fe_2O_3$

$3 F e_{3} O_{4} + 8 A l \to 9 F e + 4 A l_{2} O_{3}$ $3Fe_3O_4 +8Al rarr9Fe +4Al_2O_3$

Explanation:

And so the oxides are reduced to iron...

$F e O + 2 H^{+} + 2 e^{-} \to F e + H_{2} O$ $FeO+2H^+ +2e^(-)rarrFe + H_2O$ $(i)$ $(i)$

$F e_{2} O_{3} + 6 H^{+} + 6 e^{-} \to 2 F e + 3 H_{2} O$ $Fe_2O_3 +6H^+ +6e^(-)rarr2Fe+3H_2O$ $(i i)$ $(ii)$

And aluminim metal is oxidized to alumina...

$2 A l + 3 H_{2} O \to A l_{2} O_{3} + 6 H^{+} + 6 e^{-}$ $2Al +3H_2OrarrAl_2O_3+6H^+ +6e^-$ $(i i i)$ $(iii)$

And we add $3 \times (i) + 3 \times (i i) + 4 \times (i i i)$ $3xx(i)+3xx(ii)+4xx(iii)$

$3 F e_{2} O_{3} + 24 H^{+} + 18 e^{-} + 3 F e O + 6 H^{+} + 6 e^{-} + 8 A l + 12 H_{2} O \to 3 F e + 3 H_{2} O + 6 F e + 9 H_{2} O + 4 A l_{2} O_{3} + 24 H^{+} + 24 e^{-}$ $3Fe_2O_3 +24H^+ +18e^(-)+3FeO+6H^+ +6e^(-)+8Al +12H_2Orarr3Fe + 3H_2O+6Fe+9H_2O+4Al_2O_3+24H^+ +24e^-$

And now we cancel common reagents...

$underbrace(3Fe_2O_3 +3FeO)_(3Fe_3O_4) +8Al rarr6Fe +4Al_2O_3+Delta$

And finally....

$3Fe_3O_4 +8Al rarr9Fe +4Al_2O_3$

And this looks balanced to me... but please check my 'rithmetic; all care taken but no responsibility admitted. And this is an important reaction practically. Where there is a join in the track of a railway line, they fill it with the iron oxide and alumina, and have at it with a blow torch. The aluminum oxidizes to alumina (and is expelled from the join), and the molten iron welds the track together....

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When the formula equation $F e_{3} O_{4} + A l \to A l_{2} O_{3} + F e$ $Fe_3O_4 + Al -> Al_2O_3 + Fe$ is correctly balanced what is the coefficient of $F e$ $Fe$ ?

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When the formula equation Fe_3O_4 + Al -> Al_2O_3 + FeFe3O4+Al→Al2O3+FeFe_3O_4 + Al -> Al_2O_3 + Fe is correctly balanced what is the coefficient of FeFeFe?

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When the formula equation $F e_{3} O_{4} + A l \to A l_{2} O_{3} + F e$ $Fe_3O_4 + Al -> Al_2O_3 + Fe$ is correctly balanced what is the coefficient of $F e$ $Fe$ ?