<u>Answer:</u> The mass of cryolite produced is 65.06 kg
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
.....(1)
- <u>For aluminium oxide:</u>
Given mass of aluminium oxide = 15.8 kg = 15800 g (Conversion factor: 1 kg = 1000 g)
Molar mass of aluminium oxide = 102 g/mol
Putting values in equation 1, we get:
For the given chemical reaction:
As all the reactants are getting completely utilized. So, the amount of product can be determined by any 1 of the reactant.
By Stoichiometry of the reaction:
1 mole of aluminium oxide produces 2 moles of cryolite
So, 154.9 moles of aluminium oxide produces = of cryolite
Now, calculating the mass of cryolite by using equation 1, we get:
Moles of cryolite = 309.8 moles
Molar mass of cryolite = 210 g/mol
Putting values in equation 1, we get:
Hence, the mass of cryolite produced is 65.06 kg