J.R. S. answered 06/06/17
Tutor
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Ph.D. in Biochemistry--University Professor--Chemistry Tutor
The question should be asking "what mass of O2 is needed to produce 646.97 g SO3 (not SO2)?
2S + 3O2 ===> 2SO3
moles of SO3 represented by 646.97 g = 646.97 g x 1 mole/80.066 g = 8.0805 moles SO3
moles of O2 needed to form 8.0805 moles SO3 = 8.0805 moles SO3 x 3 moles O2/2 moles SO3 = 12.121 moles O2
The above calculation is based on the mole ratio of 3 moles O2 : 2 moles SO3 in the balanced equation.
MASS O2 required = 12.121 moles O2 x 32 g/mole = 387.86 grams O2 needed.