\( \mathrm{S}_{\mathrm{N}} \) 1 reaction underoges through a carboc...

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\( \mathrm{S}_{\mathrm{N}} \) 1 reaction underoges through a carbocation intermediate as follows :
\[
\mathrm{R}-\mathrm{X} \text { (aq.) } \stackrel{\text { Slow }}{\rightleftharpoons} \mathrm{R}^{+} \text {(aq.) }+X^{-} \text {(aq.) } \stackrel{\mathrm{H}_{2} \mathrm{O}}{\text { fast }} \mathrm{ROH}(\text { aq. })+\mathrm{H}^{+} \text {(aq.) }
\]
\( \mathrm{P} \)
\( [\mathrm{R}=\mathrm{t}-\mathrm{Bu} \), iso-Pr, \( \mathrm{Et}, \mathrm{Me}](\mathrm{X}=\mathrm{Cl}, \mathrm{Br}, \mathrm{I}) \)
W The correct statements are
I. The decreasing order of rate of \( \mathrm{S}_{\mathrm{N}} 1 \) reaction is \( \mathrm{t}-\mathrm{BuX} \) iso- \( \operatorname{Pr} X\mathrm{Et} X\mathrm{MeX} \)
II. The decreasing order of ionisation energy is \( \mathrm{MeX}\mathrm{EtX} \) iso-PrX \( \mathrm{t} \)-BuX
III. The decreasing order of energy of activation is \( \mathrm{t}-\mathrm{BuX}\mathrm{iso}-\mathrm{Pr} X\mathrm{Et} X\mathrm{MeX} \)
(A) I \& II are correct
(B) I \& III are correct
(C) II and III are correct (D) I, II \& III are correct
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