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organic chemistry - E1 elimination reaction

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The E1 mechanism involves the elimination of a molecule HBr from the alkyl halide to form an alkene. It is a first order reaction. The mechanism is as shown: Suggest how the kinetics of the reaction is affected as a stronger base is used, such as the ethoxide ion, CH3CH2O-, instead of hydroxide ion. Why might carbocation rearrangement sometimes occur in E1 reaction?