The synthesis of a certain drug can be carried out with 91.7% yield. In one experiment 14.8 g of the drug was obtained. What was the theoretical yield for this experiment?
14.8/.917 g
To find the theoretical yield, we can use the formula:
Theoretical Yield = Actual Yield / Yield Percentage
Given that the actual yield is 14.8 g and the yield percentage is 91.7%, we can substitute these values into the formula:
Theoretical Yield = 14.8 g / 0.917
Calculating this value, we get:
Theoretical Yield = 16.13 g
Therefore, the theoretical yield for this experiment is 16.13 g.
To find the theoretical yield for the experiment, we need to use the concept of the yield percentage. The yield percentage is given by the formula:
Yield Percentage = (Actual Yield / Theoretical Yield) × 100
In this case, the yield percentage is 91.7%, and the actual yield is 14.8 g. Let's substitute these values into the formula and solve for the theoretical yield:
91.7 = (14.8 / Theoretical Yield) × 100
To isolate Theoretical Yield, we divide both sides of the equation by 100:
91.7 / 100 = 14.8 / Theoretical Yield
Now we can solve for Theoretical Yield by cross-multiplying:
(91.7 × Theoretical Yield) = (14.8 × 100)
Dividing both sides by 91.7 gives:
Theoretical Yield = (14.8 × 100) / 91.7
Calculating the right side of the equation:
Theoretical Yield = 1480 / 91.7 ≈ 16.13 g
Therefore, the theoretical yield for this experiment is approximately 16.13 grams.