The question requires us to calculate the theoretical yield of a reaction, given the percent yield (43.3%) and actual yield (7.1g).
The percent yield of a chemical reaction can be calculated as:
![\%yield=\frac{actual\text{ yield (g)}}{\text{theoretical yield (g)}}*100\%](https://img.qammunity.org/2023/formulas/chemistry/college/174tn5853l5428ja1pt97kt8o8vimpofjb.png)
We can rearrange this equation in order to calculate the theoretical yield value. Our first step will be conver the
![\%yield=\frac{actual\text{ yield (g)}}{\text{theoretical yield (g)}}*100\%\to\text{theoretical yield (g) = }\frac{actual\text{ yield (g)}*100\%}{\%yield}](https://img.qammunity.org/2023/formulas/chemistry/college/1m1q54wp1hc5k6lzsbyvq5rtzjaiddbfyw.png)
Now, we can apply the values given by the question to the equation above:
![\text{theoretical yield = }(7.1g*100\%)/(43.3\%)=16g](https://img.qammunity.org/2023/formulas/chemistry/college/lbuv4zsleibu74xjlh1gldufq07n72bdqs.png)
Therefore, the theoretical yield of this reaction would be 16g. Note that the value for actual yield, 7.1g, was given with two significant figures - thus our answer must have the same amount of significant figures.