When a student ran an asymmetric dihydroxylation reaction using cis-stilbene and the ligand (DHQ)2PHAL, the hydrobenzoin showed an optical rotation of 0. Explain this result.
Question 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 />"
Question 3A student proposed the synthesis shown in Equation PE 14.5.
![](data:image/png;base64,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)
After extraction and recrystallization, a white, flaky, crystalline product was obtained that had a melting point of 117119C. The desired product, shown in Equation PE14.5, has a melting point of 152154C. Write the structure of the compound that the student isolated and briefly explain what happened. Write a rational arrow-pushing mechanism for the formation of this product. Hint: If you were actually doing this reaction, you would have prepared a prelab writeup that included all of the physical constants for your starting materials.
Question 4Propose three different syntheses of the alcohol shown below starting with a ketone and a Grignard reagent. In all cases, first show how you would make the Grignard reagent.
Question 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