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:
[tex]\%yield=\frac{actual\text{ yield (g)}}{\text{theoretical yield (g)}}\times100\%[/tex]We can rearrange this equation in order to calculate the theoretical yield value. Our first step will be conver the
[tex]\%yield=\frac{actual\text{ yield (g)}}{\text{theoretical yield (g)}}\times100\%\to\text{theoretical yield (g) = }\frac{actual\text{ yield (g)}\times100\%}{\%yield}[/tex]Now, we can apply the values given by the question to the equation above:
[tex]\text{theoretical yield = }\frac{7.1g\times100\%}{43.3\%}=16g[/tex]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.