QuestionApril 23, 2025

Aluminum is a reactive metal. It reacts with oxygen to form aluminum oxide as shown below. 4Al(s)+3O_(2)(g)arrow 2Al_(2)O_(3)(s) I. When one mole of aluminum reacts with excess oxygen how many moles of aluminum oxide will be produced? II. When one mole of oxygen reacts with excess aluminum how many moles of aluminum oxide will be produced? III. When one mole of aluminum reacts with one mole of oxygen how many moles of aluminum oxide will be produced?

Aluminum is a reactive metal. It reacts with oxygen to form aluminum oxide as shown below. 4Al(s)+3O_(2)(g)arrow 2Al_(2)O_(3)(s) I. When one mole of aluminum reacts with excess oxygen how many moles of aluminum oxide will be produced? II. When one mole of oxygen reacts with excess aluminum how many moles of aluminum oxide will be produced? III. When one mole of aluminum reacts with one mole of oxygen how many moles of aluminum oxide will be produced?
Aluminum is a reactive metal. It reacts with oxygen to form aluminum oxide as shown below. 4Al(s)+3O_(2)(g)arrow 2Al_(2)O_(3)(s) I. When one mole of aluminum reacts with excess oxygen how many moles of aluminum oxide will be produced? II. When one mole of oxygen reacts with excess aluminum how many moles of aluminum oxide will be produced? III. When one mole of aluminum reacts with one mole of oxygen how many moles of aluminum oxide will be produced?

Solution
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Answer

I. 0.5 moles of Al_2O_3 ### II. \frac{2}{3} moles of Al_2O_3 ### III. 0.5 moles of Al_2O_3 Explanation 1. Determine moles of aluminum oxide from aluminum From the balanced equation, 4 moles of Al produce 2 moles of Al_2O_3. Therefore, 1 mole of Al will produce \frac{2}{4} = 0.5 moles of Al_2O_3. 2. Determine moles of aluminum oxide from oxygen From the balanced equation, 3 moles of O_2 produce 2 moles of Al_2O_3. Therefore, 1 mole of O_2 will produce \frac{2}{3} moles of Al_2O_3. 3. Determine moles of aluminum oxide from both reactants When 1 mole of Al reacts with 1 mole of O_2, the limiting reactant is Al (since it requires more moles to react completely). Thus, 1 mole of Al produces 0.5 moles of Al_2O_3.

Explanation

1. Determine moles of aluminum oxide from aluminum<br /> From the balanced equation, 4 moles of Al produce 2 moles of $Al_2O_3$. Therefore, 1 mole of Al will produce $\frac{2}{4} = 0.5$ moles of $Al_2O_3$.<br /><br />2. Determine moles of aluminum oxide from oxygen<br /> From the balanced equation, 3 moles of $O_2$ produce 2 moles of $Al_2O_3$. Therefore, 1 mole of $O_2$ will produce $\frac{2}{3}$ moles of $Al_2O_3$.<br /><br />3. Determine moles of aluminum oxide from both reactants<br /> When 1 mole of Al reacts with 1 mole of $O_2$, the limiting reactant is Al (since it requires more moles to react completely). Thus, 1 mole of Al produces 0.5 moles of $Al_2O_3$.
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