Ihonestly am stuck with this question for at least 30 minutes. i need an expert and fast! !

Here's what I get  

Explanation:

1. Synthesis

(a) Preparation of Grignard reagent

React allyl bromide with magnesium in dry ether.

(b) Grignard reaction

Add allylmagnesium bromide to methyl phenyl ketone. Convert the alkoxide to the alcohol by treatment with aqueous ammonium chloride.

(c) 1,2-Dihydroxylation

React the alkene with tert-butyl peroxide and a catalytic amount of hydrogen peroxide. Decompose the osmate ester with aqueous sodium hydroxide.

2. Mechanism

Here are my proposed steps for the mechanisms.

(a) The 65 % Product

(i) Protonation of the secondary alcohol

(ii) Loss of the protonated OH group to form a secondary carbocation

(iii) Alkyl migration/ring expansion to form a more stable tertiary carbocation

(iv) Deprotonation to form the ketone

(b) The 25 % product

(a) Protonation of the tertiary alcohol

(ii) Loss of the protonated OH group to form a tertiary carbocation

(iii) Hydride shift to form a protonated carbonyl group

(iv) Deprotonation to form the ketone

(c) The 10 % product

(i) Electrophilic aromatic attack by the cation formed in step (b)(ii) to form a cyclopropane intermediate.

(ii) Cleavage of a cyclopropane bond to regenerate the aromatic ring and form a protonated carbonyl group

(iii) Deprotonation to form an aldehyde.

answer; economic order quantity;

answer : a model is often used to explain and make things easier to understand when any scientific topic needs to be demonstrated and explained.

as in this case where a scientist wants to use a model to present the results of his detailed scientific investigation. he should do it as it will him to make the audience understand the concept in a much better way. also, it can be changed according to new scientific understandings.