The balanced chemical reaction is:
2KClO3 ----> 2KCl + 3O2
We are given the amount of oxygen gas to be produced from potassium chlorate. This will be the starting point for the calculations.
28.0 L O2 ( 1 mol / 22.4 L) (2 mol KClO3 / 3 mol O2) ( 122.55 g / 1 mol) = 102.13 g KClO3 is needed