A = n-butyl bromide B = sec butyl bromide C = tert butyl bromide D = Iso butyl bromide order of reactivity towards ${SN}^{1}$ mech is

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C > D > B > A

C > B > A > D

A > D > B > C

C > B > D > A

answer is B.

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Detailed Solution

Rate of ${SN}^{1}$ reactivity $\propto$ stability of carbo cation

stability of carbocations $- 3^{o} > 2^{o} > 1^{o}$

stability of ${({CH}_{3})}_{2} CH \overset{+}{C} H_{2} > {CH}_{3} {CH}_{2} C H_{2} \overset{+}{C} H_{2}$ cannot be explained on the basis of H-conjugation. It can be explained on the basis of experimental facts & inductive effect

$S N^{1}$ reactivity ${(C H_{3})}_{3} C B r > C H_{3} C H B r C H_{2} C H_{3} > {(C H_{3})}_{2} C H C H_{2} B r > C H_{3} C H_{2} C H_{2} C H_{2} B r$