<u>Answer:</u> The mass of aluminium chloride produced is 12.17 grams
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
- <u>For aluminium oxide:</u>
Given mass of aluminium oxide = 10.0 g
Molar mass of aluminium oxide = 102 g/mol
Putting values in equation 1, we get:
![\text{Moles of aluminium oxide}=\frac{10g}{102g/mol}=0.098mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20aluminium%20oxide%7D%3D%5Cfrac%7B10g%7D%7B102g%2Fmol%7D%3D0.098mol)
Given mass of HCl = 10 g
Molar mass of HCl = 36.5 g/mol
Putting values in equation 1, we get:
![\text{Moles of HCl}=\frac{10g}{36.5g/mol}=0.274mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20HCl%7D%3D%5Cfrac%7B10g%7D%7B36.5g%2Fmol%7D%3D0.274mol)
The given chemical equation follows:
![Al_2O_3(s)+6HCl(aq.)\rightarrow 2AlCl_3(aq.)+3H_2O(aq.)](https://tex.z-dn.net/?f=Al_2O_3%28s%29%2B6HCl%28aq.%29%5Crightarrow%202AlCl_3%28aq.%29%2B3H_2O%28aq.%29)
By Stoichiometry of the reaction:
6 moles of HCl reacts with 1 mole of aluminium oxide
So, 0.274 moles of HCl will react with =
of aluminium oxide
As, given amount of aluminium oxide is more than the required amount. So, it is considered as an excess reagent.
Thus, HCl is considered as a limiting reagent because it limits the formation of product.
By Stoichiometry of the reaction:
6 moles of HCl produces 2 moles of aluminium chloride
So, 0.274 moles of HCl will produce =
of aluminium chloride
Now, calculating the mass of aluminium chloride from equation 1, we get:
Molar mass of aluminium chloride = 133.34 g/mol
Moles of aluminium chloride = 0.0913 moles
Putting values in equation 1, we get:
![0.0913mol=\frac{\text{Mass of aluminium chloride}}{133.34g/mol}\\\\\text{Mass of aluminium chloride}=(0.0913mol\times 133.34g/mol)=12.17g](https://tex.z-dn.net/?f=0.0913mol%3D%5Cfrac%7B%5Ctext%7BMass%20of%20aluminium%20chloride%7D%7D%7B133.34g%2Fmol%7D%5C%5C%5C%5C%5Ctext%7BMass%20of%20aluminium%20chloride%7D%3D%280.0913mol%5Ctimes%20133.34g%2Fmol%29%3D12.17g)
Hence, the mass of aluminium chloride produced is 12.17 grams