The extraction of aluminum metal from the aluminum hydroxide found in bauxite by the Hall-Héroult process is one of the most remarkable success stories of 19th century chemistry, turning aluminum from a rare and precious metal into the cheap commodity it is today. In the first step, aluminum hydroxide reacts to form alumina Al2O3  and water:   2Al(OH)3(s) + Al2O3(s) ->  3H2O(g)

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Chapter15: Equilibria Of Other Reaction Classes
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The extraction of aluminum metal from the aluminum hydroxide found in bauxite by the Hall-Héroult process is one of the most remarkable success stories of 19th century chemistry, turning aluminum from a rare and precious metal into the cheap commodity it is today. In the first step, aluminum hydroxide reacts to form alumina

Al2O3

 and water:

 

2Al(OH)3(s) + Al2O3(s) ->  3H2O(g)

In the second step, alumina

Al2O3

 and carbon react to form aluminum and carbon dioxide:

 

2Al2O3(s) +  3C(s) + 4Al(s) ->  3CO2(g)

Suppose the yield of the first step is

74.%

 and the yield of the second step is 

76.%

. Calculate the mass of aluminum hydroxide required to make 

4.0kg

 of aluminum.

 

Be sure your answer has a unit symbol, if needed, and is rounded to the correct number of significant digits.

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