Answer:
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![SO_2(g)+(1)/(2) O_2(g)+H_2O(l)\rightarrow H_2SO_4(l)](https://img.qammunity.org/2020/formulas/chemistry/middle-school/n2906m7gem2vtkwfsmzvsezivfrzejm1zu.png)
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![m_(H_2SO_4)=212.6gH_2SO_4](https://img.qammunity.org/2020/formulas/chemistry/middle-school/1ijciaawgey9ktbmavbrtwz99nyzjtm1ji.png)
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![Y=94.1\%](https://img.qammunity.org/2020/formulas/chemistry/middle-school/mo1jwdirzu56f791ryuo2spl1lfkbe6mv1.png)
Step-by-step explanation:
Hello,
In this case, the balanced chemical reaction is:
![SO_2(g)+(1)/(2) O_2(g)+H_2O(l)\rightarrow H_2SO_4(l)](https://img.qammunity.org/2020/formulas/chemistry/middle-school/n2906m7gem2vtkwfsmzvsezivfrzejm1zu.png)
Now, by means of the Avogadro's law, it is possible to compute the moles of sulfur dioxide as shown below:
![(n_1)/(V_1)= (n_2)/(V_2)\\\\n_2=(n_1V_2)/(V_1) =(1mol*48.6L)/(22.4L)=2.17molSO_2](https://img.qammunity.org/2020/formulas/chemistry/middle-school/pymde033ojx4wn9oyxuh70vopln922n9f0.png)
Thus, by stoichiometry, the theoretical yield of sulfuric acid in grams is:
![m_(H_2SO_4)=2.17molSO_2*(1molH_2SO_4)/(1molSO_2)*(98gH_2SO_4)/(1molH_2SO_4)=212.6gH_2SO_4](https://img.qammunity.org/2020/formulas/chemistry/middle-school/kybeugkq9opi3xirh5renytapckb70ua25.png)
Finally, the percent yield results:
![Y=(200g)/(212.6g)*100\%=94.1\%](https://img.qammunity.org/2020/formulas/chemistry/middle-school/47bdf7csnvzjfu7kswv3uy8ncs9fyfxr8v.png)
Best regards.