Answer : The percent yield of the reaction is, 93.68 %
Explanation : Given,
Mass of
= 64.06 g
Molar mass of
= 64 g/mole
Molar mass of
= 80 g/mole
First we have to calculate the moles of
.
![\text{Moles of }SO_2=\frac{\text{Mass of }SO_2}{\text{Molar mass of }SO_2}=(64.06g)/(64g/mole)=1.0009mole](https://img.qammunity.org/2020/formulas/chemistry/high-school/qgi6lkj7g2al4qvfbqvio1lyo5cr4bh6m8.png)
Now we have to calculate the moles of
.
The balanced chemical reaction will be,
![2SO_2+O_2\rightarrow 2SO_3](https://img.qammunity.org/2020/formulas/chemistry/high-school/wz66xbmhkpukzjzsw9nnedfcw7mry665f0.png)
From the balanced reaction, we conclude that
As, 2 moles of
react to give 2 moles of
![SO_3](https://img.qammunity.org/2020/formulas/physics/college/7goa9u9akgkd9k1vhpdo9vsqd6zu98vdur.png)
So, 1.0009 moles of
react to give 1.0009 moles of
![SO_3](https://img.qammunity.org/2020/formulas/physics/college/7goa9u9akgkd9k1vhpdo9vsqd6zu98vdur.png)
Now we have to calculate the mass of
![SO_3](https://img.qammunity.org/2020/formulas/physics/college/7goa9u9akgkd9k1vhpdo9vsqd6zu98vdur.png)
![\text{Mass of }SO_3=\text{Moles of }SO_3* \text{Molar mass of }SO_3](https://img.qammunity.org/2020/formulas/chemistry/high-school/f2l3rcr347cvelqxz102c29tjqrfbn9692.png)
![\text{Mass of }SO_3=(1.0009mole)* (80g/mole)=80.072g](https://img.qammunity.org/2020/formulas/chemistry/high-school/do05dvwu748m7udh2c06okjkgf190qh8gh.png)
The theoretical yield of
= 80.072 g
The actual yield of
= 75.00 g
Now we have to calculate the percent yield of
![SO_3](https://img.qammunity.org/2020/formulas/physics/college/7goa9u9akgkd9k1vhpdo9vsqd6zu98vdur.png)
![\%\text{ yield of the reaction}=\frac{\text{Actual yield of }SO_3}{\text{Theoretical yield of }SO_3}* 100=(75.00g)/(80.072g)* 100=93.68\%](https://img.qammunity.org/2020/formulas/chemistry/high-school/v88c5i2k1is1c67juk6xq94u6781c8jatv.png)
Therefore, the percent yield of the reaction is, 93.68 %