Question 7.CC.9: If 12.5 g of S reacts with 17.2 g of O2, what is the limitin......

If 12.5 g of S reacts with 17.2 g of O_{2}, what is the limiting reactant and the mass, in grams, of SO_{3} produced?

2 S ( s )+3 O _2( g ) \longrightarrow 2 SO _3( g )
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Mass of SO_3 from S:

\underset{\text{Three SFs}}{12.5\cancel{ g\ S}} \times \underset{\text{Four SFs}}{\overset{\text{Exact}}{\frac{1\cancel{ \text { mole } S} }{32.07\cancel{ g\ S} }}} \times \underset{\text{Exact}}{\overset{\text{Exact}}{\frac{2 \cancel{\text { moles } SO _3}}{2\cancel{ \text { moles } S} }}} \times \underset{\text{Exact}}{\overset{\text{Four SFs}}{\frac{80.07\ g\ SO _3}{1 \cancel{\text { mole SO}_3}}}}=\underset{\text{Three SFs}}{31.2\ g\text{ of }SO _3 }

Mass of SO_3 from O_2 :

\underset{\text{Three SFs}}{17.2\cancel{ g\ O_2}} \times \underset{\text{Four SFs}}{\overset{\text{Exact}}{\frac{1\cancel{ \text { mole } O_2} }{32.00\cancel{ g\ O_2} }}} \times \underset{\text{Exact}}{\overset{\text{Exact}}{\frac{2 \cancel{\text { moles } SO _3}}{3\cancel{ \text { moles }O_2} }}} \times \underset{\text{Exact}}{\overset{\text{Four SFs}}{\frac{80.07\ g\ SO _3}{1 \cancel{\text { mole SO}_3}}}}\\\text{Limiting reactant}=\underset{\text{Three SFs}}{28.7\ g\text{ of }SO _3 }\quad\text{Smaller amount of SO}_3

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