In the presence of OH- (a reasonably strong base), tertiary alkyl halides are theoretically capable of undergoing elimination reactions by the E2 mechanism to give an alkene product. Explain why this reaction pathway is unlikely under the reaction conditions in this laboratory. Make reference to the rate law of the E2 reaction mechanism. Comment on how the reaction rate would vary (faster/slower/stay the same) if t-butyl bromide was used as the substrate instead of t-butyl chloride and explain your answer. Make specific reference to the mechanism of tert-butyl chloride.