elimination reaction

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marmar

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any one knows how it is possible to have elimination reaction of a alkyl halide by E1 under aquous acid and alcohol as solvant? it is not in the kaplan book but it is in a question on the online test. I just do not understand how the carbocation forms.

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I believe the mechanism would be something like this. The halide from the substrate would grab the proton from the acid and hence becomes a good leaving group. It leaves the substrate forming a carbocation. The alcohol then can grab a proton from the substrate and a double bond is formed.
 
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