Answer : The volume of
is 14.784 L.
Solution : Given,
Mass of Aluminium = 6 g
Molar mass of Aluminium = 27 g/mole
First we have to calculate the moles of aluminium.
Moles of Al =
![\frac{\text{ Given mass of Al}}{\text{ Molar mass of Al}}=(6g)/(27g/mole)=0.22moles](https://img.qammunity.org/2019/formulas/chemistry/middle-school/nii40w0jtrp64ip1tj29e4ybzbr603lb1o.png)
The given balanced reaction is,
![2NaOH+2Al+6H_2O\rightarrow 2NaAl(OH)_4+3H_2](https://img.qammunity.org/2019/formulas/chemistry/middle-school/qvbatk87wqnwn9ojicripsp94isocf2ffr.png)
From the reaction, we conclude that
2 moles of Al react with the 6 moles of
![H_2O](https://img.qammunity.org/2019/formulas/chemistry/high-school/6hlutk8606w2ok5nx8qbbytaae8khf510v.png)
0.22 moles of Al react with
of
![H_2O](https://img.qammunity.org/2019/formulas/chemistry/high-school/6hlutk8606w2ok5nx8qbbytaae8khf510v.png)
At STP, 1 mole contains 22.4 L volume
As, 1 mole of
contains 22.4 L volume of
![H_2O](https://img.qammunity.org/2019/formulas/chemistry/high-school/6hlutk8606w2ok5nx8qbbytaae8khf510v.png)
0.66 moles of
contains
volume of
![H_2O](https://img.qammunity.org/2019/formulas/chemistry/high-school/6hlutk8606w2ok5nx8qbbytaae8khf510v.png)
Therefore, the volume of
is 14.784 L.