Answer:
![Sn_2O](https://img.qammunity.org/2021/formulas/chemistry/college/gsa6xy4hheqwkmw78lzaim4qppj7r7r6xl.png)
Step-by-step explanation:
Hello,
In this case, given the mass of the sample and mass of tin we can compute the mass of oxygen via:
![m_O=0.534g-0.500g=0.034g](https://img.qammunity.org/2021/formulas/chemistry/college/9fzf6pr12by2vmrplq9onee3dmvkfm37tm.png)
Thus, by using the atomic bas of tin and oxygen we can compute their moles:
![n_(Sn)=0.500gSn*(1molSn)/(118.8gSn) =0.00421mol\\\\n_O=0.034gO*(1molO)/(16gO)=0.002125mol](https://img.qammunity.org/2021/formulas/chemistry/college/zdlq0a48vtzj8c7ualvmlyzj9wo8px741k.png)
Next, we need to divide both moles by the moles of oxygen as those are the smallest in order to compute the subscript in the chemical reaction:
![Sn=(0.00421)/(0.002125)=2\\ \\O=(0.002125)/(0.002125)= 1](https://img.qammunity.org/2021/formulas/chemistry/college/hlsk1kipe4y6oxuxqqzeqkc8x6y55xs7ek.png)
Therefore, empirical formula of the oxide should be:
![Sn_2O](https://img.qammunity.org/2021/formulas/chemistry/college/gsa6xy4hheqwkmw78lzaim4qppj7r7r6xl.png)
Best regards.