Answer : The volume of
consumed are,
L.
Explanation :
The balanced chemical reaction will be:
![4Al(s)+3O_2(g)\rightarrow 2Al_2O_3(s)](https://img.qammunity.org/2020/formulas/chemistry/middle-school/rjvhxheq76c58ru8efbpwkg2uok3c30co5.png)
First we have to calculate the moles of Al.
![\text{Moles of }Al=\frac{\text{Mass of }Al}{\text{Molar mass of }Al}](https://img.qammunity.org/2020/formulas/chemistry/high-school/e79l6bsb7t21cztqxnxcj0hfvix5ysb1lz.png)
Molar mass of Al = 27 g/mole
![\text{Moles of }Al=(55g)/(27g/mol)=2mole](https://img.qammunity.org/2020/formulas/chemistry/college/k8d4g8qh3uvd48229kcmn7fgdy4mv0aum3.png)
Now we have to calculate the moles of
.
From the reaction we conclude that,
As, 4 mole of Al react with 3 moles of
![O_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/9c0d0q54qoy7o2wh2yi3hpprbbhzj1k8rs.png)
So, 2 mole of Al react with
moles of
![O_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/9c0d0q54qoy7o2wh2yi3hpprbbhzj1k8rs.png)
Now we have to calculate the volume of
consumed.
As we know that, 1 mole of substance occupies 22.4 liter volume of gas.
As, 1 mole of
occupies 22.4 liter volume of
gas
So,
mole of
occupies
liter volume of
gas
Therefore, the volume of
consumed are,
L.