4Al + 3O2 → 2Al2O3

Using the equation above, answer the following questions:

How many moles of O2 would you need to react with 10 moles of Al? mol O2

How many moles of Al woul you need to make 6 moles of Al2O3? mol Al

Respuesta :

The answer for the given problem is mentioned below.

1. Therefore 7.5 moles of oxygen is required to react with 10 moles of Al.

2.Therefore 12 moles of Al is required to react with 6 moles of aluminium oxide.

Explanation:

Given:

An equation;

4 Al + 3 [tex]O_{2}[/tex]  → 2 [tex]Al_{2}O_{3}[/tex]

To find :

1. no of moles of oxygen([tex]O_{2}[/tex] )

2. no of moles of aluminium (Al)

We know;

1.

   4 Al + 3 [tex]O_{2}[/tex]  → 2 [tex]Al_{2}O_{3}[/tex]

Here;

Al represents Aluminium

[tex]O_{2}[/tex]  represents oxygen

[tex]Al_{2}O_{3}[/tex] represents aluminium oxide

    4 moles of Al   →   3 moles of [tex]O_{2}[/tex]

    10 moles of Al  →      ?

Therefore;

   n = [tex]\frac{10 * 3}{4}[/tex]

   n = 7.5 moles of oxygen

Therefore 7.5 moles of oxygen is required to react with 10 moles of Al.

2.

     4 Al + 3 [tex]O_{2}[/tex]  → 2 [tex]Al_{2}O_{3}[/tex]

Here;

Al represents Aluminium

[tex]O_{2}[/tex]  represents oxygen

[tex]Al_{2}O_{3}[/tex] represents aluminium oxide

     4 moles of Al   →  2 moles of [tex]Al_{2}O_{3}[/tex]

                              →   6 moles of [tex]Al_{2}O_{3}[/tex]

Therefore;

                  n = [tex]\frac{6 * 4}{2}[/tex]

            n = 12 moles of Al

Therefore 12 moles of Al is required to react with 6 moles of aluminium oxide.

The number of O₂ that would need to react with 10 moles of Al is 7.5 moles

The number of moles of Al that would need to make 6 moles of Al₂O₃ is 12 moles.

Balanced equation

4Al + 3O₂ → 2Al₂O₃

4 moles of aluminium  = 3 moles of oxygen

10 moles of aluminium = ?

cross multiply

moles of oxygen = 10 × 3 / 4 = 30 / 4  = 7.5 moles

2 moles of Aluminium oxide requires 4 moles of Aluminium

6 moles of  Aluminium oxide will require ? of aluminium

cross multiply

moles of  Aluminium  = 6 × 4 / 2 = 24 / 2 = 12 moles

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