Metallurgy and Isolation of ElementshardNUMERICAL

The Goldschmidt thermite process uses Aluminium to reduce transition metal oxides. Consider the balaMetallurgy and Isolation of Elements Chemistry Question

Question

The Goldschmidt thermite process uses Aluminium to reduce transition metal oxides. Consider the balanced chemical equation for the reduction of Manganese(II,III) oxide ($Mn_3O_4$) by Aluminium powder: $a Mn_3O_4 + b Al \rightarrow c Al_2O_3 + d Mn$. When balanced with the smallest whole numbers, what is the sum of the stoichiometric coefficients of the products $(c + d)$?

Answer: 13

💡 Solution & Explanation

The balanced thermite reaction for $Mn_3O_4$ is: $3Mn_3O_4 + 8Al \rightarrow 4Al_2O_3 + 9Mn$. The products are $Al_2O_3$ and $Mn$, with coefficients $c = 4$ and $d = 9$. The sum $c + d = 4 + 9 = 13$.

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