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Question
- if the percent yield of a reaction was 65.0% and its theoretical yield was 0.652 g of what was the actual yield?
Step1: Recall the percent yield formula
The formula for percent yield is: $\text{Percent Yield} = \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \times 100\%$
We need to solve for Actual Yield, so rearrange the formula: $\text{Actual Yield} = \frac{\text{Percent Yield} \times \text{Theoretical Yield}}{100\%}$
Step2: Substitute the given values
Given Percent Yield = $65.0\%$, Theoretical Yield = $0.652\ \text{g}$
Substitute into the formula: $\text{Actual Yield} = \frac{65.0\% \times 0.652\ \text{g}}{100\%}$
First, convert the percentage to a decimal: $65.0\% = 0.650$
Then calculate: $0.650 \times 0.652\ \text{g} = 0.4238\ \text{g}$ (round to appropriate significant figures, here three significant figures as given in percent yield and theoretical yield)
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The actual yield is $0.424\ \text{g}$ (or $0.4238\ \text{g}$ depending on precision)