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Solution: 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?

Problem

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?

Solution

For a linear multi-step process, the overall percent yield is the product of the yields in each step. For example, if a process has two steps with 75% yield each, the overall yield is:

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