Propose two syntheses of 4-phenyl-2-pentanone, each involving conjugate addition of a lithium diorganocopper reagent.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Propose two syntheses of 4-phenyl-2-pentanone, each involving conjugate addition of a lithium diorganocopper reagent.

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Step 1

The product given is 4-phenyl-2-pentanone. 
Gilman reagent is an organo copper lithium reagent which is used to form a carbon-carbon bond. 
The two way by which 4-phenyl-2-pentanone can be formed using the help of Gilman reagent is shown below:

First method:

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