J.R. S. answered 05/03/17
Tutor
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Ph.D. in Biochemistry--University Professor--Chemistry Tutor
In the presence of a catalyst the balanced equation for combustion is
2 KClO3(s) → 3 O2(g) + 2 KCl(s)
moles KClO3 used = 183.7 g x 1 mole/122.6 g = 1.498 moles
moles O2 generated = 1.498 moles KClO3 x 3 moles O2/2 moles KClO3 = 2.248 moles O2 produced
Volume of O2 produced equivalent to 2.248 moles: Use PV = nRT
V = nRT/P = (2.248)(62.36)(312)/1200 (NOTE: use the correct value of R, and convert ºC to ºK)
V = 36.45 liters