Answer:
51.6 g of O₂ are produced in the reaction
Step-by-step explanation:
The reaction for decomposition is:
2KClO₃ → 2KCl + 3O₂
Let's convert the mass of the chloride to moles (mass / molar mass):
75.8 g / 74.55 g/mol = 1.016 moles
Ratio is 2:2, so as 2 moles of chloride were produce by 2 moles of chlorate, 1.016 moles of chloride were produced by 1.016 moles of chlorate.
Now we think ratio with O₂, 2:3. Let's make a rule of three:
2 moles of chlorate produce 3 moles of oxygen
1.016 moles of chlorate may produce (1.016 . 3)/2 = 1.614 moles of O₂
Let's convert the moles to mass → 1.614 mol . 32g / 1 mol = 51.6 g