Which one of the following is not true for the hydrolysis of $t$-butyl bromide with aqueous $\mathrm{NaOH}$ ?

• A

  Reaction occurs through the $\mathrm{S}_{\mathrm{N}^{1}}$ mechanism
• B

  The intermediate formed is a carbocation
• Correct answer
  C

  Rate of the reaction doubles when the concentration of alkali is doubled
• D

  Rate of the reaction doubles when the concentration of $t$-butyl bromide is doubled

Solution

Mechanism $$ \mathrm{CH}_{3} \mathrm{Cl}+\mathrm{AlCl}_{3} \longrightarrow \mathrm{CH}_{3}^{+}+\mathrm{AlCl}_{4}^{-} $$

$\mathrm{H}^{+}+\mathrm{AlCl}_{4}^{-} \longrightarrow \mathrm{HCl}+\mathrm{AlCl}_{3}$

Hence, the correct answer is option: 'C'.