Give the structures of the intermediates and products V through Z.
Compound A is an optically active alcohol. Treatment with chromic acid converts A into a ketone, B. In a separate reaction, A is treated with PBr3, converting A into compound C. Compound C is purified, and then it is allowed to react with magnesium in ether to give a Grignard reagent, D. Compound B is added to the resulting solution of the Grignard reagent. After hydrolysis of the initial product (E), this solution is found to contain 3,4-dimethylhexan-3-ol. Propose structures for compounds A, B, C, D, and E.

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Key Concepts
Optical Activity
Grignard Reagents
Oxidation and Reduction Reactions
Predict the major products (including stereochemistry) when cis-3-methylcyclohexanol reacts with the following reagents.
(a) PBr3
(b) SOCl2
(c) Lucas reagent
Propose mechanisms for the following reactions. In most cases, more products are formed than are shown here. You only need to explain the formation of the products shown, however.
(a)
Under acid catalysis, tetrahydrofurfuryl alcohol reacts to give surprisingly good yields of dihydropyran. Propose a mechanism to explain this useful synthesis.
Predict the major products (including stereochemistry) when cis-3-methylcyclohexanol reacts with the following reagents.
(d) concentrated HBr
(e) TsCl/pyridine, then NaBr
The compound shown below has three different types of OH groups, all with different acidities. Show the structure produced after this compound is treated with different amounts of NaH followed by a methylating reagent. Add a brief explanation.
(a) 1 equivalent of NaH, followed by 1 equivalent of CH3I and heat
(b) 2 equivalents of NaH, followed by 2 equivalents of CH3I and heat
(c) 3 equivalents of NaH, followed by 3 equivalents of CH3I and heat
