If you obtained a percentage yield of 34.5% 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

To find the actual amount of material obtained, we need to use the formula for percentage yield: $\text{Percentage Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100$ We know the percentage yield (34.5%) and the theoretical yield (84 g).

2. Relevant Concepts

Rearranging the percentage yield formula to find the actual yield gives us: $\text{Actual Yield} = \left( \frac{\text{Percentage Yield}}{100} \right) \times \text{Theoretical Yield}$

3. Analysis and Detail

Substituting the known values into the equation: $\text{Actual Yield} = \left( \frac{34.5}{100} \right) \times 84$

Now, perform the calculation: $\text{Actual Yield} = 0.345 \times 84$ $\text{Actual Yield} = 28.98 \, \text{g}$

4. Verify and Summarize

We computed the actual yield to be approximately $28.98$ grams.

Final Answer

The actual amount of material obtained is 28.98 g.