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Chapter 16: Q45P (page 773)

Question:a. In a six-step synthesis, what is the yield of the target molecule if each of the reactions employed gives an 80% yield?

b. What would the yield be if two more steps (each with an 80% yield) were added to the synthesis?

Short Answer

Expert verified

Answer

  1. 26%
  2. 17%

Step by step solution

01

Yield of a target molecule

The yield of each step is 80%. Reaction gives a yield of 80%. Then yield of C from B is 80% of the yield of B. Likewise, for D, the yield is 80% of the yield of C.This will continue for six steps, and at last, the target molecule gets a yield of 26%.

A→B80%→C0.8×0.8→D0.8×0.64→E0.8×0.51→F0.8×0.41→G0.8×0.3364%51%41%33%26%

02

Yield of the next two steps

G→H0.8×0.2621%H0.8×0.26→C0.8×0.2121%17%

The sixth step reaction gives a yield of 26%, and the eighth step gives a yield of 17%.

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