To determine the percent yield of the reaction, follow these step-by-step instructions:
1. Understand the given data:
- Theoretical yield: This is the maximum amount of product that can be produced assuming everything goes perfectly and without any losses. In this case, the theoretical yield of copper is 3.53 grams.
- Actual yield: This is the amount of product that was actually obtained from the experiment. Here, the actual yield of copper is 2.86 grams.
2. Write down the formula for percent yield:
[tex]\[
\text{Percent yield} = \left( \frac{\text{Actual yield}}{\text{Theoretical yield}} \right) \times 100
\][/tex]
3. Substitute the values into the formula:
[tex]\[
\text{Percent yield} = \left( \frac{2.86 \, \text{g}}{3.53 \, \text{g}} \right) \times 100
\][/tex]
4. Calculate the fraction:
[tex]\[
\frac{2.86}{3.53} \approx 0.8101983002832861
\][/tex]
5. Convert the fraction to a percentage:
[tex]\[
0.8101983002832861 \times 100 \approx 81.01983002832861
\][/tex]
6. Round to a suitable number of decimal places, if necessary:
Typically, percent yields are reported to two decimal places, so we can round it to 81.02.
Therefore, the percent yield of the reaction is approximately [tex]\( \boxed{81.02} \% \)[/tex].