<u>Answer:</u> The theoretical yield of iron (II) oxide is 5.53g and percent yield of the reaction is 93.49 %
<u>Explanation:</u>
To calculate the number of moles, we use the equation:
....(1)
Given mass of iron = 4.31 g
Molar mass of iron = 53.85 g/mol
Putting values in above equation, we get:
![\text{Moles of iron}=\frac{4.31g}{53.85g/mol}=0.0771mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20iron%7D%3D%5Cfrac%7B4.31g%7D%7B53.85g%2Fmol%7D%3D0.0771mol)
For the given chemical reaction:
![2Fe(s)+O_2(g)\rightarrow 2FeO(s)](https://tex.z-dn.net/?f=2Fe%28s%29%2BO_2%28g%29%5Crightarrow%202FeO%28s%29)
By Stoichiometry of the reaction:
2 moles of iron produces 2 moles of iron (ii) oxide.
So, 0.0771 moles of iron will produce =
of iron (ii) oxide
Now, calculating the theoretical yield of iron (ii) oxide using equation 1, we get:
Moles of of iron (II) oxide = 0.0771 moles
Molar mass of iron (II) oxide = 71.844 g/mol
Putting values in equation 1, we get:
![0.0771mol=\frac{\text{Theoretical yield of iron(ii) oxide}}{71.844g/mol}=5.53g](https://tex.z-dn.net/?f=0.0771mol%3D%5Cfrac%7B%5Ctext%7BTheoretical%20yield%20of%20iron%28ii%29%20oxide%7D%7D%7B71.844g%2Fmol%7D%3D5.53g)
To calculate the percentage yield of iron (ii) oxide, we use the equation:
![\%\text{ yield}=\frac{\text{Experimental yield}}{\text{Theoretical yield}}\times 100](https://tex.z-dn.net/?f=%5C%25%5Ctext%7B%20yield%7D%3D%5Cfrac%7B%5Ctext%7BExperimental%20yield%7D%7D%7B%5Ctext%7BTheoretical%20yield%7D%7D%5Ctimes%20100)
Experimental yield of iron (ii) oxide = 5.17 g
Theoretical yield of iron (ii) oxide = 5.53 g
Putting values in above equation, we get:
![\%\text{ yield of iron (ii) oxide}=\frac{5.17g}{5.53g}\times 100\\\\\% \text{yield of iron (ii) oxide}=93.49\%](https://tex.z-dn.net/?f=%5C%25%5Ctext%7B%20yield%20of%20iron%20%28ii%29%20oxide%7D%3D%5Cfrac%7B5.17g%7D%7B5.53g%7D%5Ctimes%20100%5C%5C%5C%5C%5C%25%20%5Ctext%7Byield%20of%20iron%20%28ii%29%20oxide%7D%3D93.49%5C%25)
Hence, the theoretical yield of iron (II) oxide is 5.53g and percent yield of the reaction is 93.49 %