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Write mechanism involved in the reaction...

Write mechanism involved in the reaction between tert. butly bromide and aqueous KOH.

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`S_(N)^(1)` Mechanism: This is a first order Uni-molecular reaction which completes in two steps:
`(H_(3)C)_(3)C-Br +OH_(1) rightarrow (CH_(3))_(3)C-OH+Br ^(-)`
The rate law in Rate `= K [(CH_(3))_(3) C Br]`
Step `1 - (CH_(3))_(3) Leftrightarrow (CH_(3))_(3)C^(+)+Br^(-)` (Slow step)
(tert. butyl bromide)
Step `2 - (CH_(3))_(3) C^(+) + OH^(-)rightarrow (CH_(3))_(3) C-OH`
(tert. butyl alcohol) (fast step)
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