J.R. S. answered 10/23/21
Ph.D. University Professor with 10+ years Tutoring Experience
Iris,
Here are the steps to solve this problem.
1). Look at the balanced equation: 2KClO3(s) --> 2KCl(s) + 3O2(g)
2). Note that it takes TWO mols KClO3 to produce THREE mols O2. This is the mol ratio and it is important.
3). Knowing that we want to produce 0.50 mols of O2, we can use this mol ratio to find the mols of KClO3 that we need. Using dimensional analysis, we see the following:
0.50 mols O2 x 2 mols KClO3 / 3 mols O2 = 0.333..mols KClO3 needed
4). Now we simply convert mols KClO3 to grams of KClO3 using the molar mass of KClO3 (122.5 g/mol)
0.333 mols x 122.5 g/mol = 40.8 g KClO3 needed = 41 g (2 sig. figs.)