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Reactivity of 1-bromo-4-tert-butylcyclohexane isomers with methanol

You are right on the part of E2, 2 will react slower. The reactivity of SN1 follows the same order - the carbocations are same but in 1 due to $\ce{Br}$ being on the axial position, the $\ce{C-Br}$ ...
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Temperature required for E1 elimination reaction

This is a question that is answered by careful experimentation [Possibly the experiment has been done already]. Primary and secondary require high T to dehydrate usually about 150-200C, intermediate ...
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Reactivity of 1-bromo-4-tert-butylcyclohexane isomers with methanol

These are geometric isomers, cis-trans compounds so the RS nomenclature is not appropriate. If they were mirror images they would have identical reaction rates in an achiral system The general idea is ...
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