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(D) The reactivity of alcohols towards $H-X$ depends on the stability of the carbocation intermediate formed after the loss of water.$(I)$ Vinyl alcoh

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$II > IV > III > I$

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(D) The reactivity of alcohols towards $H-X$ depends on the stability of the carbocation intermediate formed after the loss of water.$(I)$ Vinyl alcohol $(CH_2=CH-OH)$ forms a vinyl carbocation $(CH_2=CH^+)$,which is highly unstable.$(II)$ Allyl alcohol $(CH_2=CH-CH_2OH)$ forms an allyl carbocation $(CH_2=CH-CH_2^+)$,which is resonance stabilized.$(III)$ Ethanol $(CH_3-CH_2OH)$ forms a primary carbocation $(CH_3-CH_2^+)$.$(IV)$ Isopropyl alcohol $(CH_3-CH(OH)-CH_3)$ forms a secondary carbocation $(CH_3-CH^+-CH_3)$,which is more stable than a primary carbocation due to inductive effect and hyperconjugation.Stability order of carbocations: $Allyl > Secondary > Primary > Vinyl$.Therefore,the reactivity order is: $II > IV > III > I$.

What is the correct order of reactivity of the following alcohols towards $H-X$?
$(I) \; CH_2 = CH - OH$
$(II) \; CH_2 = CH - CH_2OH$
$(III) \; CH_3 - CH_2 - OH$
$(IV) \; CH_3 - CH(OH) - CH_3$

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What is the correct order of reactivity of the following alcohols towards $H-X$?$(I) \; CH_2 = CH - OH$$(II) \; CH_2 = CH - CH_2OH$$(III) \; CH_3 - CH_2 - OH$$(IV) \; CH_3 - CH(OH) - CH_3$