If you obtained a percentage yield of 44.3% from a reaction where the theoretical yield was 84 g, what was the actual amount of material you obtained in grams?

1. ### Break Down the Problem

The problem involves calculating the actual yield based on the percentage yield provided. We have:

• Percentage Yield = 44.3%
• Theoretical Yield = 84 g

2. ### Relevant Concepts

The percentage yield can be calculated using the formula:

$\text{Percentage Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100$

From this, we can rearrange the formula to find the Actual Yield:

$\text{Actual Yield} = \left( \frac{\text{Percentage Yield}}{100} \right) \times \text{Theoretical Yield}$

3. ### Analysis and Detail

Now, substituting the known values into the rearranged formula:

$\text{Actual Yield} = \left( \frac{44.3}{100} \right) \times 84 \, \text{g}$

Calculating this step-by-step:

1. Convert the percentage to a decimal: $\frac{44.3}{100} = 0.443$
2. Multiply by the theoretical yield: $\text{Actual Yield} = 0.443 \times 84 \, \text{g}$ $\text{Actual Yield} = 37.212 \, \text{g}$

4. ### Verify and Summarize

We can round the actual yield for final reporting. The calculations are correct based on the provided percentage yield and theoretical yield.

Final Answer

The actual amount of material obtained is approximately $37.2 \, \text{g}$.