Explanations:
Given the balanced chemical reaction expressed as:
![2Au_2O_3\rightarrow4Au+3O_2](https://img.qammunity.org/2023/formulas/chemistry/college/grsmxjhyg0bqtn5fhdb2na0pdkgrkf4gkx.png)
A Redox reaction is a reaction that involves the transfer of electrons and changes in the oxidation state between the elements.
The given chemical equation is therefore an oxidation-reduction reaction since it involves a change in the oxidation state of the elements.
Determine the moles of Au₂O₃
![\begin{gathered} \text{Mole = }\frac{Mass}{Molar\text{ mass}} \\ \text{Mole of Au}_2O_3=\frac{10g}{441.93g\text{/mol}} \\ \text{Mole of Au}_2O_3=0.02263\text{moles} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/xz87fclgnv0fh85d7fk5tij310mh0a62wz.png)
According to stochiometry, you can see that 2 moles of Gold(III)oxide produce 4 moles of Gold. Hence the moles of Gold produced will be:
![\begin{gathered} \text{moles of Gold=}(0.02263*4)/(2) \\ \text{moles of Gold=}0.02263*2 \\ \text{moles of Gold=}0.0453\text{moles} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/y5y9ujymsoh5hz9lclyoqb4tsgbje2l8od.png)
Determine the mass of Gold.
![\begin{gathered} \text{Mass of Gold=moles}* molar\text{ mass} \\ \text{Mass of Gold=}0.0453*196.97 \\ \text{Mass of Gold}=8.91\text{grams} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/jtk98kxx1ly5djh4w69r97dyp5gb9mc7oc.png)
Next is determining the mole of Oxygen
According to stochiometry, you can see that 2 moles of Gold(III)oxide produce 3 moles of Oxygen. Hence the moles of Oxygen produced will be:
![\begin{gathered} \text{moles of Oxygen=}(0.02263*3)/(2) \\ \text{moles of Oxygen}=0.033945\text{moles} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/j847ddhlv5om77vzqtszv0blanahrxu8w3.png)
Determine the mass of oxygen produced
![\begin{gathered} \text{Mass of O}_2=moles*\text{Molar mass} \\ \text{Mass of O}_2=0.033945*16 \\ \text{Mass of O}_2=0.543\text{grams} \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/5qvyvodrhj6o5ddswqxdl1rbjd8ajt8ekc.png)
Hence the mass of oxygen produced is 0.543 grams