calculate mass of so3 formed, if 500g so2 react with 200g o2. according to the equation identify the limting reagent
Answers
Answer:
Answer: 625 grams and SO_2SO
2
is the limiting reagent .
Explanation:
To calculate the moles, we use the equation:
\text{Number of moles}=\frac{\text{Given mass}}{\text {Molar mass}}Number of moles=
Molar mass
Given mass
a) moles of SO_2SO
2
\text{Number of moles}=\frac{500g}{64g/mol}=7.81molesNumber of moles=
64g/mol
500g
=7.81moles
b) moles of O_2O
2
\text{Number of moles}=\frac{200g}{32g/mol}=6.25molesNumber of moles=
32g/mol
200g
=6.25moles
2SO_2(g)+O_2(g)\rightarrow 2SO_3(g)2SO
2
(g)+O
2
(g)→2SO
3
(g)
According to stoichiometry :
2 moles of SO_2SO
2
require 1 mole of O_2O
2
Thus 7.81 moles of SO_2SO
2
require=\frac{1}{2}\times 7.81=3.91moles
2
1
×7.81=3.91moles of O_2O
2
Thus SO_2SO
2
is the limiting reagent as it limits the formation of product.
As 2 moles of SO_2SO
2
give = 2 moles of SO_3SO
3
Thus 7.81 moles of SO_2SO
2
give =\frac{2}{2}\times 7.81=7.81moles
2
2
×7.81=7.81moles of SO_3SO
3
Mass of SO_3=moles\times {\text {Molar mass}}=7.81moles\times 80g/mol=625gSO
3
=moles×Molar mass=7.81moles×80g/mol=625g
Thus mass of SO_3SO
3
produced is 625 grams and SO_2SO
2
is the limiting reagent .