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(A) The reaction of alcohols with Lucas reagent $(HCl/ZnCl_2)$ proceeds via the $S_N1$ mechanism.The rate of reaction is determined by the stability o

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$IV > I > II > III$

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(A) The reaction of alcohols with Lucas reagent $(HCl/ZnCl_2)$ proceeds via the $S_N1$ mechanism.The rate of reaction is determined by the stability of the carbocation intermediate formed.The stability order of the carbocations is:$IV$: $Ph-C^+(CH_3)_2$ (Tertiary benzylic carbocation,highly stabilized by resonance and inductive effect) > $I$: $(CH_3)_3C^+$ (Tertiary alkyl carbocation) > $II$: $CH_3-CH^+-CH_3$ (Secondary alkyl carbocation) > $III$: $CH_3-CH_2^+$ (Primary alkyl carbocation).Therefore,the reactivity order is $IV > I > II > III$.

Arrange the following in order of their reactivity when reacting with $HCl/ZnCl_2$ (Lucas reagent):
$I. CH_3-C(CH_3)_2-OH$
$II. CH_3-CH(CH_3)-OH$
$III. CH_3-CH_2-OH$
$IV. Ph-C(CH_3)_2-OH$

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Arrange the following in order of their reactivity when reacting with $HCl/ZnCl_2$ (Lucas reagent):$I. CH_3-C(CH_3)_2-OH$$II. CH_3-CH(CH_3)-OH$$III. CH_3-CH_2-OH$$IV. Ph-C(CH_3)_2-OH$