Consider a reaction with a theoretical yield of 100.5 g. If the percent yield for this reaction is [tex]$89.9\%$[/tex], what is the actual yield of the product?

To find the actual yield of a product from a reaction, we need to use the percent yield formula. Here's a step-by-step breakdown:

1. Understand the Percent Yield Formula:
The percent yield is calculated as:
[tex]\[
\text{Percent Yield} = \left(\frac{\text{Actual Yield}}{\text{Theoretical Yield}}\right) \times 100
\][/tex]

2. Rearrange the Formula to Find the Actual Yield:
To solve for the actual yield, rearrange the formula:
[tex]\[
\text{Actual Yield} = \left(\frac{\text{Percent Yield}}{100}\right) \times \text{Theoretical Yield}
\][/tex]

3. Plug in the Given Values:
In this case, the theoretical yield is 100.5 grams, and the percent yield is 89.9%.

4. Calculate the Actual Yield:
- Divide the percent yield by 100:
[tex]\[
\frac{89.9}{100} = 0.899
\][/tex]
- Multiply this result by the theoretical yield:
[tex]\[
0.899 \times 100.5 = 90.3495
\][/tex]

Therefore, the actual yield of the product is approximately 90.35 grams.