Answer:
[tex]4Al(OH)_{3}(s)+3C(s)\rightarrow 4Al(s)+3CO_{2}(g)+6H_{2}O(g)[/tex]
Explanation:
The steps involved in the extraction Al from Al(OH)3 are:
Step 1:
[tex]2Al(OH)_{3}(s)\rightarrow Al_{2}O_{3}(s)+3H_{2}O(g)[/tex]
Step 2:
[tex]2Al_{2}O_{3}(s)+3C(s)\rightarrow 4Al(s)+3CO_{2}(g)[/tex]
The net reaction which shows the extraction of Al from Al(OH)3 can be obtained by multiplying step 1 by a factor of 2 then adding it with step 2
Net reaction = Step 1 * 2 + Step 3
[tex]4Al(OH)_{3}(s)\rightarrow 2Al_{2}O_{3}(s)+6H_{2}O(g)[/tex]
+ [tex]2Al_{2}O_{3}(s)+3C(s)\rightarrow 4Al(s)+3CO_{2}(g)[/tex]
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[tex]4Al(OH)_{3}(s)+3C(s)\rightarrow 4Al(s)+3CO_{2}(g)+6H_{2}O(g)[/tex]