Answer:
![Y_A=92.1\%\\\\Y_B=89.6\%](https://img.qammunity.org/2022/formulas/chemistry/college/g129d3voczd2vi2b6c3mynjg2le611jzvk.png)
Step-by-step explanation:
Hello there!
In this case, according to the given chemical equation for the reaction for the production of potassium permanganate, we can see a 2:2 mole ratio of this product to the starting manganese (II) oxide, which means, we can calculate the theoretical yield of the former via stoichiometry:
![m_(KMnO_4)=50.0gMnO_2*(1molMnO_2)/(86.94gMnO_2)*(2molKMnO_4)/(2molMnO_2) *(158.034gKMnO_4)/(1molKMnO_4) \\\\m_(KMnO_4)=90.9gKMnO_4](https://img.qammunity.org/2022/formulas/chemistry/college/r34039u8zn0wq1wom4yuixlbuds2ds94so.png)
Now, we are able to compute the percent yields, by using the actual yield each scientist got:
![Y_A=(83.67g)/(90.9g) *100\%=92.1\%\\\\Y_B=(81.35g)/(90.9g) *100\%=89.6\%](https://img.qammunity.org/2022/formulas/chemistry/college/yl0yze46w2dophne9hxeueu6aeoobskce5.png)
Regards!