Concept:Percent yield is a ratio. If we are given the actual yield and the efficiency percentage, we can algebraically rearrange the formula to find the paper-calculated theoretical maximum.
Formula:$$ \% \text{ Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100 $$
Solution:- Substitute the known values into the equation:
- \( 60 = (15 / \text{Theoretical Yield}) \times 100 \).
- Rearrange to isolate Theoretical Yield:
- \( \text{Theoretical Yield} = (15 / 60) \times 100 \).
- Simplify: \( 15 / 60 = 1 / 4 = 0.25 \).
- \( 0.25 \times 100 = 25 \text{ grams} \).
Why other options are incorrect:- 18g, 20g, 30g: These arise from incorrect mathematical operations, such as multiplying 15 by 0.60 instead of dividing by it, or simple arithmetic division errors.
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