Answer: The mass of cryolite produced is 65.06 kg
Step-by-step explanation:
To calculate the number of moles, we use the equation:
.....(1)
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