Paclitaxel, C47H51NO14, is an anticancer compound that is difficult to make in the lab. One reported synthesis requires 11 steps, and the final yield of paclitaxel is only 6 %.
Assuming all steps have equivalent yields, what is the average percent yield for each step in the synthesis?
y^11 = .06
To find the average percent yield for each step in the synthesis, we need to divide the final yield of paclitaxel by the number of steps.
Given:
- 11 steps in the synthesis
- Final yield of paclitaxel is 6%
To calculate the average percent yield per step:
Step 1: Calculate the percent yield per step
Percent yield per step = (Final yield of paclitaxel)^(1/number of steps)
In this case, the final yield of paclitaxel is 6% and the number of steps is 11.
Percent yield per step = (6%)^(1/11)
Step 2: Calculate the average percent yield per step
Average percent yield per step = Percent yield per step / number of steps
In this case, the percent yield per step is (6%)^(1/11) and the number of steps is 11.
Average percent yield per step = (6%)^(1/11) / 11
Calculating this expression should give you the average percent yield for each step in the synthesis of paclitaxel.