The balanced reaction is:
MnO2(s) + 4HCl(aq) → Cl2(g) + MnCl2(aq) + 2H2O(l)
We are given the amount of hydrochloric acid to be used for the reaction. This will be the starting point for the calculations.
1.82 mol HCl ( 1 mol Cl2 / 4 mol HCl) = 0.46 mol Cl2
Therefore, 0.46 mol of chlorine gas is produced for the reaction of hydrochloric acid and manganese oxide.