Answer:
The mass of oxygen is 12.10 g.
Explanation:
The decomposition reaction of potassium chlorate is the following:
2KClO₃(s) → 2KCl(s) + 3O₂(g)
We need to find the number of moles of KClO₃:
[tex] \eta_{KClO_{3}} = \frac{m}{M} [/tex]
Where:
m: is the mass = 30.86 g
M: is the molar mass = 122.55 g/mol
[tex] \eta_{KClO_{3}} = \frac{30.86 g}{122.55 g/mol} = 0.252 moles [/tex]
Now, we can find the number of moles of O₂ knowing that the ratio between KClO₃ and O₂ is 2:3
[tex] \eta_{O_{2}} = \frac{3}{2}*0.252 moles = 0.378 moles [/tex]
Finally, the mass of O₂ is:
[tex] m = 0.378 moles*32 g/mol = 12.10 g [/tex]
Therefore, the mass of oxygen is 12.10 g.
I hope it helps you!