Manganese commonly occurs in nature as a mineral. The extraction of manganese from the carbonite mineral rhodochrosite, involves a two-step process. In the first step, manganese (II) carbonate and oxygen react to form manganese (IV) oxide and carbon dioxide: 2 MnCO3(s) + O2(g) → 2MnO2(s) + 2CO2(g) In the second step, manganese (IV) oxide and aluminum react to form manganese and aluminum oxide: 3 MnO2(s) + 4 Al(s) → 3 Mn(s) + 2 Al2O3(s) Write the net chemical equation for the production of manganese (II) carbonate, oxygen and aluminum. Be sure your equation is balanced.

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Manganese commonly occurs in nature as a mineral. The extraction of manganese from the carbonite mineral rhodochrosite, involves a two-step process. In the first step, manganese (II) carbonate and oxygen react to form manganese (IV) oxide and carbon dioxide:

[tex]2MnCO_3(s)+O_2(g)\rightarrow 2MnO_2(s)+2CO_2(g)[/tex]

In the second step, manganese (IV) oxide and aluminum react to form manganese and aluminum oxide:

[tex]3MnO_2(s)+4Al(s)\rightarrow 3Mn(s)+2Al_2O_3(s)[/tex]

Write the net chemical equation for the production of manganese from manganese (II) carbonate, oxygen and aluminum. Be sure your equation is balanced.

Answer : The net chemical equation for the production of manganese is:

[tex]6MnCO_3(s)+3O_2(g)+8Al(s)\rightarrow 6CO_2(g)+6Mn(s)+4Al_2O_3(s)[/tex]

Explanation :

The given two chemical reactions are:

(1) [tex]2MnCO_3(s)+O_2(g)\rightarrow 2MnO_2(s)+2CO_2(g)[/tex]

(2) [tex]3MnO_2(s)+4Al(s)\rightarrow 3Mn(s)+2Al_2O_3(s)[/tex]

First we are multiplying reaction 1 by 3, and reaction 2 by 2, we get:

(1)

(2) [tex]6MnO_2(s)+8Al(s)\rightarrow 6Mn(s)+4Al_2O_3(s)[/tex]

Now we are adding both the reactions, we get the overall chemical reaction.

[tex]6MnCO_3(s)+3O_2(g)+6MnO_2(s)+8Al(s)\rightarrow 6MnO_2(s)+6CO_2(g)+6Mn(s)+4Al_2O_3(s)[/tex]

The  [tex]MnO_2[/tex] is common on both side, by cancelling it, we get:

The net chemical equation for the production of manganese is:

[tex]6MnCO_3(s)+3O_2(g)+8Al(s)\rightarrow 6CO_2(g)+6Mn(s)+4Al_2O_3(s)[/tex]